WILL MARK BRANLIEST! 100 POINTS!

WILL MARK BRANLIEST! 100 POINTS!

Answers

Answer 1

Answer:

g(x)=9

Step-by-step explanation:

use a vertical line to determine what the y value is for g(x)

Answer 2

g(x)=9

Step-by-step explanation:

use a vertical line to determine what the y value is for g(x)


Related Questions

Have three witches each holding a broom and a spoon. Witches say witch plus witch plus witch =45. Three brooms say broom plus broom plus a broom =21 and three spoons say spoon plus spoon plus spoon = 12 then final question is a plain witch plus broom x spoon equal a ? What’s answer?

Answers

Answer:

a=43

Step-by-step explanation:

w+w+w= 45 which means 15+15+15=45

b+b+b=21 which means 7+7+7=21

s+s+s=12 which means 4+4+4=12

w+b×s= a which means 15+7×4= 43

(hope this helps)

Answer:

The answer to the question is 43

Step-by-step explanation:

Let us recall the values from the following question stated:

Three witches each holds a broom and a spoon, saying plus witch plus witch = 45

Three brooms say broom plus broom plus a broom at = 21

Three spoons say spoon plus spoon plus = 21

Now, let us find when a plain witch plus broom x spoon

Then,

Three witches = 45, resulting to  15+15+15=45

Three brooms (b+b+b) which is =21 or  7+7+7=21

Three spoons (s+s+s) is =12  or 4+4+4=12

we make use of multiplication for the witches, the brooms, and the spoons

Therefore

w+b×s= a,  which is 15+7×4= 43

Factor as the product of two binomials.
X^2 – 10x + 21

Answers

You can use the butterfly method. Two numbers that equal A times C must also add up to B. A=1 B=-10 C=21. A times C is 21 and B is -10. Two numbers that multiply to 21 and add to -10 are -7 and -3. Factored form: ( x - 7 )( x - 3 ).

The requried expression of the given expression which is a product of two binomials is (x - 3)(x - 7).

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial, and trinomial, etc. ax+b is a polynomial.

Here,
Given expression,
x² - 10x + 21 = 0

In order to factor the above expression in two binomial expressions, split the 10x in two where the multiplication of two numbers produces 21 and their difference produces -10x,
So,
y = x² -7x -3x + 21
y= x(x - 7) - 3 (x - 7)
y = (x - 3)(x - 7)

Thus, the requried expression of the given expression which is a product of two binomials is (x - 3)(x - 7).

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Work out the equation of the line which passes through the point (1,-2)and is parallel to the point y=x+4

Answers

Answer:

y = x - 3

Step-by-step explanation:

Basically, if the lines are parallel, they have the same slope, right? So that part is already complete

And to get the rest of the equation, plug in the points -2 and 1 into the equation for the x values. Then set the equation to solve for b

After you do that you should get b = -3

The slope is 1 and the y-int is -3

Thank me later ;)

A=[3 2 0-1] B= [2 .6 8 3] what is matrix A + matrix B?

Answers

Answer:

[5 2.6 8 2]

Step-by-step explanation:

For this we simply add the digits

A+ B

[3+2 2+.6 0+8 -1+3]

[ 5 2.6 8 2]

Diego has a skateboard, scooter, bike and go-cart. he wants to know which vehicle, is the fastest. a friend records how far diego traveles on each vehicle in 5 seconds. for each vehicle, diego travels as fast as he can along a straight path vehicle skateboard path=90 feet scooter=1,020 bike=4,800 centimeters go kart=0.03 kilometers a.100 inches equal 245 centimeters whatis the distance each vehicle traveled in centimers? ?

Answers

Answer:

1. Skateboard: 2,743.2. Scooter: 2,590.8. Bike: 4,800. Go-cart: 3,000.

Final answer:

After converting all distances to centimeters, it's clear that Diego's bike traveled the furthest (4800 cm) in 5 seconds, making it the fastest.

Explanation:

Understanding the speed of Diego's vehicles requires us to convert the distances all to the same unit, centimeters. First, we know that 1 foot equals 30.48 cm. Therefore, the skateboard traveled 90 feet * 30.48 cm/foot = 2743.2 cm. The scooter traveled 1020 feet, which means it traveled 1020 feet * 30.48 cm/foot = 31,089.6 cm. The bike traveled 4800 cm, so no conversion is needed for this vehicle. Lastly, 1 kilometer equals 100,000 cm, meaning the go-kart traveled 0.03 kilometers * 100,000 cm/kilometer = 3,000 cm. Now that we have all the distances in the same unit, we can compare and state that the bike traveled the furthest in 5 seconds, making it the fastest.

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The Northwestern huskies had a
record of 25 wins and 45 losses.
What was the ratio of wins to
losses?

Answers

Answer:

5:9 | 5/9 | 5 to 9

Step-by-step explanation:

you can choose any form

Answer:

25:45 or simplified 5:9

Step-by-step explanation:

to simplify find a common factor and divide both by that number to simplify.

5 liters at $15.25
x liters at $33.55

Answers

Answer:

x=2

Step-by-step explanation:

shdhvejsjheuhchsjcyhejc7738

Answer:

11

Step-by-step explanation:

divide 5 and 15.25

then multiply by 33.55

Y is equal to 6 less than the product of x and -1.if the output is -15 what is the input

Answers

Given:
y = (x)(-1) -6
y = -15


Plug values in and solve for x:
-15 = -x - 6
-9 = -x
x = 9

There's 6,954 cases filed with Surpreme court only 82 were chosen by Surpreme court. what percentage was decided by the court ?

Answers

Answer:

1.2%

Step-by-step explanation:

Since only 82 were chosen by supreme Court,

The total is 6954

To calculate the percentage of the case decided by the court

82/6954 ×100

8200/6954

1.179~1.2

So the final answer is 1.2%

Final answer:

The percentage of cases decided by the Supreme Court compared to those filed is approximately 1.18%.

Explanation:

To calculate the percentage of cases decided by the Supreme Court out of the total number of cases filed, we use the formula for finding a percentage: (Number of cases decided / Total cases filed) × 100. In this scenario, the Supreme Court decided 82 cases out of 6,954 cases filed.

So, the calculation would look like this:

(82 / 6,954) × 100 = (0.01179) × 100 ≈ 1.18%

Therefore, approximately 1.18% of the cases filed with the Supreme Court were decided by the court.

If Y=X2 -2x - 3 , what is y when x =3

Answers

As per quadratic equation, the value of 'y' for [tex]x = 3[/tex] is 0.

What is a quadratic equation?

"A quadratic equation is an algebraic equation of the second degree in 'x'. The quadratic equation in its standard form is [tex]ax^{2} + bx + c = 0[/tex], where 'a' and 'b' are the coefficients, 'x; is the variable, and 'c' is the constant term."

Given quadratic equation is:

[tex]y = x^{2} -2x - 3[/tex]

When  [tex]x = 3[/tex], the value of 'y' is:

[tex]= 3^{2} -2(3) - 3\\= 9 - 6 - 3\\= 0[/tex]

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When [tex]\( x = 3 \)[/tex] is substituted into [tex]\( y = x^2 - 2x - 3 \)[/tex], it yields y = 0 after simplification.

To find the value of y when x = 3 in the equation [tex]\( y = x^2 - 2x - 3 \),[/tex]substitute [tex]\( x = 3 \)[/tex] into the equation and solve for (y):

[tex]\[ y = (3)^2 - 2(3) - 3 \]\[ y = 9 - 6 - 3 \]\[ y = 0 \][/tex]

So, when [tex]\( x = 3 \), \( y = 0 \).[/tex]

How do you find the square root of a decimal?

How do you find the square root of a fraction?

Answers

Answer:

To find the square root of a fraction you first have to find the square root of the numerator and the denominator if your denominator has a square root that is irrational then you multiply the numerator and the denominator by that irrational number.

To find the square root of a decimal you have would have to divide two numbers like 64 and 8

Step-by-step explanation:

Final answer:

To find the square root of a decimal, use a calculator. Convert the fraction to a decimal first and then use the same process.

Explanation:

To find the square root of a decimal, you can use a calculator. Simply enter the decimal number and press the square root button. The calculator will give you the square root as a decimal or a simplified fraction, depending on the value.

For example, to find the square root of 4.45, enter it into the calculator and press the square root button. The calculator will give you the result as approximately 2.107.

To find the square root of a fraction, you can use the same process. Convert the fraction to a decimal by dividing the numerator by the denominator. Then, follow the steps for finding the square root of a decimal using a calculator.

Twice one number added to another
number is 18. If the second number is equal
to 12 less than 4 times the first number, find
the two numbers.
First complete the equations below, where x stands for
the first number and y stands for the second number.
2x + y = 18; y = [?]x-[]

Answers

Answer:

The Answer is: The first number is 5 and the second one is 8.

please give me brainliest!! :)

Step-by-step explanation:

Let f = first number and s = second number

Twice the first number added to the second number is 18:

2f + s = 18

The second number is equal to 4 times the first number minus 12:

s = 4f - 12

Substitute:

2f + (4f - 12) = 18

6f - 12 = 18

6f = 18 + 12

6f = 30

f = 5, is the first number.

Solve for the 2nd number:

s = 4(5) - 12 = 20 - 12 = 8, is the second number.

Proof:

2f + s = 18

2(5) + 8 = 18

18 = 18

Hope this helps! Have an Awesome Day! :-)

Answer:

y = 8

x = 5

Step-by-step explanation:

This is a system of equations problem

Set up your two conditions:

2x + y = 18

y = 4x - 12

rearrange them to match

y = -2x + 18

y =   4x - 12

combine them by subtracting one equation from the other in such a way that it eliminates one variable. In this case I choose to subtract each value from the second equation from the first one

0 = -6x + 30

solve

6x = 30

x = 5

plug in the x value to solve for y

2(5) + y = 18

10 + y = 18

y = 8

The angle of elevation from L to K measures 24°. If KL = 19, find JL. Round your answer to the nearest tenth.

Answers

Answer:

jl = 19cos24 = 17.4.   jk = 19sin24 = 7.7.

Step-by-step explanation:

We have a rt. triangle; the hyp is kl

and the hor side is jl. The angle between the hor side and hyp = 24 deg.

The value of JL rounding up to the nearest tenth will be 17.36.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Angle is the measurement of rotation motion for example if you want to measure the length in rotation geometry then it is helpful.

Given that the KL = 19 units, the angle LJK = 24°

Now by a trigonometric function

cos24° = Jl/19

JL = 19 × cos24°

JL = 17.36 hence, the correct answer or the length of the JL is 17.36 units.

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The last square of the chessboard is square 64.
How many pennies are on square 64?

Answers

Answer: C. 2^63

second part: greater than

Step-by-step explanation:

The number of pennies on square 64 is 2^63

What is a square?

A square is a quadrilateral, that have its four sides to be equal, and all its angles to be right-angles

From the question, the number of pennies on a square is:

[tex]T_n = 2^{n-1[/tex]

So, we have:

[tex]T_{64} = 2^{64 - 1}[/tex]

Evaluate the difference

[tex]T_{64} = 2^{63[/tex]

Hence, the number of pennies on square 64 is 2^63

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Can someone please answer this math problems thank you

Answers

Answer:

The three answers are B,C,F

b c f ... i believe ?

Simplify this expression.
4m
10(m + n)

Answers

Answer:

4m+10mn

Step-by-step explanation:

because we can't simplify any further, we can just multiply 10 by m AND n when you do this, its like multipling 2 variblies, like bxh = bh.

which equation best fits the graft data

Answers

Answer:

I think it's C

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

A graph can only be curved when it has an exponential. B and C are slopes so it cannot be that.

NEED HELP NOW \large{\dfrac{2}{3} \div 5 =} 3 2÷5=start fraction, 2, divided by, 3, end fraction, divided by, 5, equals?

Answers

Answer:

no clue

Step-by-step explanation:

The measure of arc BD is __.
The measure of arc ADB is __.
The measure of arc ABC is __.

PLEASE HELP. URGENT!! ASAP

Answers

- The measure of arc [tex]\( BD \)[/tex] is 260°.

- The measure of arc [tex]\( ADB \)[/tex] should be 320° (corrected).

- The measure of arc [tex]\( ABC \)[/tex] is 80°.

To find the measure of each arc in the circle, we need to remember that the total degrees in any circle is 360°. The diagram shows a circle with specific arcs and angles labeled.

Here are the steps to find each arc's measure:

1. Measure of arc [tex]\( BD \)[/tex]:

  - Arc [tex]\( BD \)[/tex] is opposite the central angle [tex]\( \angle BRD \)[/tex], which is not directly given.

  - Since [tex]\( \angle BRC \)[/tex] is 40° and [tex]\( \angle CRD \)[/tex] is 60°, then [tex]\( \angle BRD = 360° - (\angle BRC + \angle CRD) \)[/tex].

  - Calculating [tex]\( \angle BRD \)[/tex] gives [tex]\( 360° - (40° + 60°) = 260° \)[/tex].

  - Therefore, the measure of arc \( BD \) is 260°.

2. Measure of arc [tex]\( ADB \)[/tex]:

  - Arc [tex]\( ADB \)[/tex] includes arcs [tex]\( AD \)[/tex] and [tex]\( DB \)[/tex].

  - We already know [tex]\( DB \)[/tex] is 260°.

  - [tex]\( AD \)[/tex] is opposite the central angle [tex]\( \angle ARD \)[/tex], which is given as 120°.

  - Adding them together, the measure of arc [tex]\( ADB = \angle ARD + \angle BRD = 120° + 260° = 380° \).[/tex]

  - This exceeds 360°, which suggests an error. Since [tex]\( AD \)[/tex] and [tex]\( BD \)[/tex] are parts of the circle that add up to its whole circumference, they should add up to 360°, not more. Hence, [tex]\( ADB \)[/tex] should be [tex]\( 360° - \angle BCD \)[/tex] which is 360° - 40° = 320°.

3. Measure of arc [tex]\( ABC \)[/tex]:

  - Arc [tex]\( ABC \)[/tex] includes arcs [tex]\( AB \)[/tex] and [tex]\( BC \).[/tex]

  - [tex]\( BC \)[/tex] is opposite the central angle [tex]\( \angle BRC \)[/tex], which is given as 40°.

  - [tex]\( AB \)[/tex] is the rest of the circle not included in \( ADB \), so [tex]\( AB = 360° - \angle ADB \)[/tex].

  - Since we've found an inconsistency with [tex]\( ADB \)[/tex], we should instead calculate [tex]\( AB \)[/tex] as [tex]\( 360° - (BD + CD) = 360° - (260° + 60°) = 40° \).[/tex]

  - Adding \( AB \) and \( BC \), the measure of arc [tex]\( ABC = AB + BC = 40° + 40° = 80° \).[/tex]

There seems to be an error with the measure of arc [tex]\( ADB \)[/tex] as calculated before. Arcs [tex]\( AD \)[/tex] and [tex]\( DB \)[/tex] should add up to 360° because they complete the circle together. It's also worth noting that in a properly drawn circle, the sum of the measures of arcs [tex]\( BC \)[/tex], [tex]\( CD \)[/tex], and [tex]\( DA \)[/tex]should add up to 360°. If [tex]\( BC \)[/tex] is 40° and [tex]\( CD \)[/tex] is 60°, then [tex]\( DA \)[/tex] should be 360° - (40° + 60°) = 260°, not 120°. This discrepancy suggests there may be a mistake in the given information or a misinterpretation of the diagram.

To summarize, given the information provided:

- The measure of arc [tex]\( BD \)[/tex] is 260°.

- The measure of arc [tex]\( ADB \)[/tex] should be 320° (corrected).

- The measure of arc [tex]\( ABC \)[/tex] is 80°.

Consider the equation: 3(–4n – 9) = 21

Use the distributive property and properties of equality to solve for n.

n = ???

Answers

3(-4b - 9) = 21

3 * -4 = -12 3 * -9 = -27

-12b - 27 = 21
+27 +27

-12b = 48 “Divide both sides by 12b”


n = -4

Answer:

-4

B

The second one.

Step-by-step explanation:

Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relationship between Wilson's age (w) and Mary's age (m):
w = m + 6
w = 5m - 10
Which is a possible correct method to find Wilson's and Mary's ages?
Solve W + 6 = 5w - 10 to find the value of w.
Write the points where the graphs of the equations intersect the x axis.
Solve m + 6 = 5m - 10 to find the value of m.
Write the points where the graphs of the equations intersect the y axis.

Answers

Final answer:

The correct method to find Wilson's and Mary's ages with the given equations is to solve the equation m + 6 = 5m - 10 by substitution, which will give you the value of Mary's age (m). After finding m, you can then solve for Wilson's age (w).

Explanation:

Among the provided methods to find Wilson's and Mary's ages based on the given equations w = m + 6 and w = 5m - 10, the correct approach is to solve m + 6 = 5m - 10 to find the value of m, Mary's age. This is due to the fact that by substituting the expression for w from the first equation into the second, we isolate m and solve for it directly. Here is how you'd solve it step by step:

First, substitute w from the first equation into the second equation, resulting in m + 6 = 5m - 10.

Next, rearrange the terms to get all the m terms on one side: 5m - m = 10 + 6.

Then, simplify to find that 4m = 16.

Last, divide both sides by 4 to get m = 4.

Once you have m, substitute it back into either of the original equations to find w. In this case, w = 4 + 6 = 10.

Graphical solutions involving the x or y axis do not apply directly to solving the system of equations and are therefore not correct methods for this particular problem.

help please this is due in a few hours !!

Answers

Answer:

31.48 square feet

Step-by-step explanation:

We can find the area of half the figure first.

Half the figure can be split up into the triangle and the semicircle.

Area of triangle:

1/2bh

Plug values in.

1/2(4)(3)

1/2(12)

6

Area of semicircle:

πr^2/2

Radius is half of Diameter.

Radius is 2.5. (5/2)

Plug values in.

π2.5^2/2

6.25π/2

9.7389372262

Round.

9.74

Add the area of triangle to area of semicircle to find area of half the figure.

6+9.74=15.74

Multiply by 2 to find area of whole figure.

15.74*2=31.48

Henry wants to double his cake recipe that uses 2 cup 10tbsp of flour. How much flower will he need?

Answers

Answer:

5 cups and 4 tbsp

Step-by-step explanation:

4 cups and 20 tbsp of flour

There are 16 tablespoons in 1 cup

5 cups and 4 tbsp

5 cups and 4tbsp because I looked at the top answer lol

Janell has a 10 inch by 12 inch photograph. She wants to scan the photograph

Answers

Complete Question:

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

Correct Answer:

A) [tex](10-x)(12-x)=15[/tex]

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

Step-by-step explanation:

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

[tex]length=10-x\\breadth=12-x[/tex]

According to question , Area of new image is :

⇒ [tex]Area = \frac{1}{8}Length(breadth)[/tex]

⇒ [tex]Area = \frac{1}{8}(10)(12)[/tex]

⇒ [tex]Area = 15[/tex]

So the equation will be :

⇒ [tex](10-x)(12-x)=15[/tex]

b. Find the dimensions of the reduced image

Let's solve :  [tex](10-x)(12-x)=15[/tex]

⇒ [tex]120-10x-12x+x^2=15[/tex]

⇒ [tex]120-22x+x^2=15[/tex]

⇒ [tex]x^2-22x+105=0[/tex]

By Quadratic formula :

[tex]x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]

⇒ [tex]x = \frac{22 \pm8 }{2}[/tex]

⇒ [tex]x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}[/tex]

⇒ [tex]x = 15 , x =7[/tex]

x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ [tex]x =7[/tex]

Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

Out of 2,000 students in a high school, 800 of them were randomly selected and asked if they want the school’s mascot to change. Out of those surveyed, 250 want it to change.

With a desired confidence level of 99% and a corresponding z*-score of 2.58, what is the margin of error for this sample survey?

Answers

Answer:800

0.31

0.69

4.2

Step-by-step explanation:

Answer:

800

0.31

0.69 (nice)

4.2

Step-by-step explanation:

edgu 2020

Lines a and b are parallel. What is the value of x? (I will mark brainliest) (please hurry)
A. 5
B. 10
C. 35
D. 55

Answers

Answer:

A.5

Step-by-step explanation:

11x+7x+90=180

11x and the unlabeled angle in the triangle are alt. interior and are equal

18x=90

divide both sides by 18

x=5

A chef buys a 1-gallon jug of milk for a cookie recipe. He first uses 1/4 of the milk. Then he uses 2/3 of the remaining milk. How much milk is left in the jug?

Answers

Answer:

1/12 of a jug is what is left

Cameron was shooting basketballs during recess. he made 30 baskets and missed 10. based on this information,how many baskets will cameron miss if he shoots a total of 8 times

Answers

Answer:

He will miss 2 shots.

Step-by-step explanation:

40 Total Shots

He missed [tex]\frac{10}{40}[/tex]

[tex]\frac{10}{40} = \frac{x}{8} \\40x = 80\\x=2[/tex]

Points A, B, and C are midpoints of the sides of right
triangle DEF
Which statements are true? Select three options. (The
formula for the area of a triangle is A = bh.)
BC = 6 cm
AC = 5 cm
BA = 4 cm
DE = 10 cm
FD = 6 cm
FE = 8 cm
The perimeter of triangle ABC = 12 cm.
The area of triangle ABC is
the area of triangle DEF.​

Answers

The correct statements of the triangle are; AC = 5 cm; BA = 4 cm; The perimeter of triangle ABC is 12 cm.

What are the correct statements of the Triangles?

As we know that a, b, and c are midpoints of the sides of right triangle that means midpoint divide the side in equal parts.

Now we have to calculate the sides of triangle ABC by using Pythagoras theorem.

Using Pythagoras theorem in ΔACF :

AC² = FA² + CF²

Thus;

AC² = 3² + 4²

AC = √25

AC = 5

Using Pythagoras theorem in ΔDAB, we have;

BA = √(5² - 3²)

BA = 4 cm

Using Pythagoras Theorem, we have;

CB = √(5² - 4²)

CB = 3 cm

Perimeter of ΔABC = Side AB + Side CB+ Side AC

Perimeter of ΔABC = 4 + 3 + 5

Perimeter of ΔABC = 12 cm

Area of ΔABC = (1/2) * 4 * 3 = 6 cm²

Area of ΔDEF = (1/2) * 8 * 6 = 24 cm²

Area of ΔABC =  (6/24) * Area of ΔDEF

Area of ΔABC = (1/4) * Area of ΔDEF

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Final answer:

Given the information provided, we can determine the lengths of the sides of triangle ABC and its perimeter and area.

Explanation:

Given that points A, B, and C are midpoints of the sides of right triangle DEF, we can determine the lengths of the sides using the information provided.

BC = 6 cmAC = 5 cmBA = 4 cmDE = 10 cmFD = 6 cmFE = 8 cm

To find the perimeter of triangle ABC, we sum the lengths of all three sides: AB + BC + CA. Substituting the given lengths, AB = BA = 4 cm, BC = 6 cm, and CA = AC = 5 cm, the perimeter is 4 cm + 6 cm + 5 cm = 15 cm.

The area of triangle ABC can be determined using the formula A = bh, where b is the base and h is the height. Triangle ABC and triangle DEF are similar triangles, so their areas are proportional. Since point A is the midpoint of DE, half the base of triangle DEF is equal to the base of triangle ABC. Substituting the given length of DE = 10 cm, the base of triangle ABC is 10 cm / 2 = 5 cm. The height of triangle ABC is equal to the length of AC = 5 cm. Therefore, the area of triangle ABC is A = 5 cm * 5 cm = 25 cm².

BRAINLIEST!!!!
5. Graph the given relation or equation and find the domain and range. Then determine whether the relation or equation is a function.
(3.9, 5.9), (–1.1, 5.9), (–4.1, 3.9), (–4.1, –2.1)

Answers

Given:

Given that the coordinates are (3.9, 5.9), (–1.1, 5.9), (–4.1, 3.9), (–4.1, –2.1)

We need to determine domain and range and also find whether the relation is a function.

Domain:

The domain is the set of all independent x - values.

Thus, we have;

[tex]Domain=\{3.9,-1.1,-4.1\}[/tex]

Thus, the domain is {3.9,-1.1,-4.1}

Range:

The range is the set of all dependent y - values.

Thus, we have;

[tex]Range=\{5.9,3.9,-2.1\}[/tex]

Thus, the range is {5.9,3.9,-2.1}

Function:

We need to determine whether the given relation is a function.

For a relation is said to be a function, if every value of x has only one image in the y - coordinate.

After plotting the graph, it is obvious that the x - value -4.1 has two images 3.9 and 2.1

Hence, the given relation is not a function.

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