Solve the system of equations.
- 5x – 3y - 9 = 0
4x – 187 - 54 = 0

Answer:

The length of the shelf is 129 cm or 1290 mm.

Step-by-step explanation:

Since Samuel will use the two boards to make the shelf, then the total length of the shelf is the sum of the lengths of each board. So in order to solve this problem we must do as shown bellow:

length shelf = length board1 + length board2

length shelf = 84 + 45 = 129 cm

In order to convert this to milimeters we must multiply the answer above by 10. So we have:

length shelf = 129*10 = 1290 mm

The length of the shelf is 129 cm or 1290 mm.

Answer: 129 cm = 1290 mm

Step-by-step explanation:

Hi, to answer this question we simply have to add the length of both boards.

Mathematically speaking:

Total length = 84 cm + 45 cm = 129 centimiters

Since:

1 cm = 10mm

To convert 129 cm to mm we have to multiply it by 10.

129 cm x 10 mm/cm =1290 mm

Feel free to ask for more if needed or if you did not understand something.

Answer:

(3,1/125) and (-1,5)

Step-by-step explanation:

plug in the first coordinate (x-coordinate) in each pair for x in the original equation and the second coordinate (y-coordinate) for g(x)

Answer:52

Step-by-step explanation:

To find this

Total ratio=3+4

=7

Find the amount share

7/4×39

=91

So, to get a share's

3/7×91

=52

Answer:

the answer is b

Step-by-step explanation:

nun

Answer:

Either 43 or 88

Step-by-step explanation:

45/3 = 15 (one witch)

21/3 = 7 (one broom)

12/3 = 4 (one spoon)

PEMDAS:

Equation: 15 + 7 x 4

if there are parenthesis and the equation looks like:

(15 + 7) x 4

the answer is 88.

if there is NOT parenthesis and the equation looks like:

15 + 7 x 4

the answer is 43.

Answer:

31

Step-by-step explanation:

witch with spoon and wand equals 15 each...wand = 7 spoon =3

Answer:

P=3x-14

Step-by-step explanation:

P=2(x+1/2 x-7)

=2x+x-14

or P=3x-14

The perimeter of the garden will be;

⇒ 3x - 7/2

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The garden is shown in figure.

Width of garden = 1/2x - 7

Length of garden = x

Now,

Since, Width of garden = 1/2x - 7

Length of garden = x

Hence, The perimeter of garden = 2 (Length + Width)

⇒ The perimeter of garden = 2 (x + 1/2x - 7)

⇒ The perimeter of garden = 2 (3/2x - 7)

⇒ The perimeter of garden = 3x - 7/2

Thus, The perimeter of the garden will be;

⇒ 3x - 7/2

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Answer: -4

Step-by-step explanation:

If you replace x for 0 it will eliminate the variable. The only remaining term without a variable is -4

Answer:

-5.2, -2.5, 2/5, 5/2

Step-by-step explanation:

Arrange it

Answer: 17.47 minutes

Step-by-step explanation:

To find the number of minutes it will take for the stew to cool to a temperature of 30°C, solve the given nonlinear equation or graph it to find the intersection point.

The given function that models the relationship between the elapsed time, m, in minutes, and the temperature of the stew, T(m), is:

T(m) = 20 + 50 - 10^(-0.0477m)

To find the number of minutes it will take for the stew to cool to a temperature of 30°C, we need to solve the equation:

30 = 20 + 50 - 10^(-0.0477m)

By isolating the unknown variable, m, we can solve for it using logarithms or graphing. However, since the equation is nonlinear, graphing is a more intuitive approach. Graph the equation and find the x-coordinate at which the graph intersects with the y-coordinate 30. This value of m will give you the number of minutes it will take for the stew to cool to 30°C.

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Given:

AC is perpendicular bisector of BD

AB ≅ AD

To prove:

ΔABC ≅ ΔACD

Solution:

In triangle ABC and triangle ACD,

Step 1: Given

AC is perpendicular bisector of BD and

AB ≅ AD (Side)

Step 2: By perpendicular bisector definition,

BC ≅ CD (Side)

Step 3: By reflexive property,

AC ≅ AC (Side)

Step 4: By SSS congruence criterion,

ΔABC ≅ ΔACD

Hence proved.

Answer:

BC=DC

Step-by-step explanation:

I did the test yourself and got it right :)

Answer:

-1

Step-by-step explanation:

The equation of a circle gives the positions of points inside or on its circumference. A point is outside the circle if the substitution in the equation results in a value greater than the square of the circle's radius.

To understand this, we need first to understand the equation of a circle which is defined in the format (x-a)² + (y-b)² = r², where (a,b) is the center of the circle and r is the radius.

In this case, (a,b) = (5,-3) and r = 4. So, the equation of the circle becomes (x-5)² + (y+3)² = 16. Any point (X,Y) that satisfies this equation is inside or at the circumference of the circle. If the computation yields a result greater than 16, the point is outside the circle.

Let's take a point for example: (3,-1). Substituting the values gives (3-5)² + (-1+3)² = 4 + 4 = 8 which is less than 16, hence, lies inside the circle. But for a point like (10,0), it results in (10-5)² + (0+3)² = 25 + 9 = 34 which is greater than 16, so the point (10,0) is outside the circle.

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Answer:

A

Step-by-step explanation:

vertical are always opposite each other

complementary are 180

supplementary are 90

Answer:

y   = 3x+3

Step-by-step explanation:

We know the y intercept since it crosses the y axis at (0,3) and we know the x intercept since it crosses the x axis at (-1,0)

We can fidn the slope

m = (y2-y1)/(x2-x1)  (0,3) (-1,0)

     =(0-3)/(-1-0)

     = -3/-1

      =3

The equation for the line is in the form

y = mx +b where m is the slope and b is the y intercept

y   = 3x+3

Answer:

C). 30 I just learned about this!

Step-by-step explanation:

If the smaller diamond is 12 and the bigger one is 36 then its times 3 and whatver you do to the top you do to the bottom so it would be 10 times 3 which would equal 30! (:

Answer:

C - 30

Step-by-step explanation:

Since one side of the smaller diamond is 12 and the side on the bigger diamond is 36 it is 3 times the perimeter on each side so since the side on the small diamond is 10 then you would times it by three to get the perimeter of the side on the bigger diamond , which is 30 .

Answer:

m = -18

Step-by-step explanation:

-34=m-16

+16. +16

-18 = m

Answer:

m = -18

Step-by-step explanation:

to evaluate for the correct answer of this problem , we would simply combine the like terms together.

solution

-34=m-16

-34 + 16 = m

-18= m

m = -18

Answer:

B

Step-by-step explanation:

81 = 9 × 9 = 3 × 3 × 3 × 3 = [tex]3^{4}[/tex]

Thus the [tex]\sqrt[4]{81}[/tex] = [tex]\sqrt[4]{3^{4} }[/tex] = 3

Hence x = 4 → B

Answer:

[tex]x^{2} \\[/tex]+3x

Step-by-step explanation:

2x(2x+1)

x(x+1)

2[tex]x^{2}[/tex]+2x-[tex]x^{2}[/tex]+x

=[tex]x^{2}[/tex]+3x

Answer:

I think you are right

Step-by-step explanation:

Answer:

YES I AM PRETTY SURE ITs :D GOOD LUCK HAVE A GREAT DAY

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

time is tricky due to the 60 minute interface. In those questions add to the lower number until you hit a rounded number.

Fortunately you don't need to use this in this problem, and can just subtract 58-27 to get 31

Answer:

No

Step-by-step explanation:

You use the formula a^2 + b^2= c^2. The biggest number is c.

So 8 ^2 + 10^2 has to equal 12^ 2

64 + 100= 144

164=144

That is not true.

Answer:

No, they are not

Step-by-step explanation:

If you simplify all 3 numbers, you get 4, 5, 6

If you graph the triangle on graph paper, it wouldn't work and there would be a gap.

3, 4, 5 triangles do work though!

Answer:

8.9 ft

Step-by-step explanation:

Use Pythagorean theorem,

a² + b² = c²

√(a² + b²) = c

The diagonal is the hypotenuse of the rectangular pool table.

So,

√(4² + 8²) = c

√(16 + 64) = c

√(80) = c

8.944... = c

Nearest tenth:

8.9

Answer: Median: 18

              Interquartile range: 4

              Range: 18

Step-by-step explanation: The median line is at 18, the interquartile range is the difference between the ends of the box, 20 - 16 = 4. The range is the difference between the ends of the line, 28 - 10 = 18. Let's take a look at how the data can be compared, from the two schools using the box plot.

From the information provided, it is clear that the

By observation, the median line is at 18. Note that the median of a distribution is the quantity that lies at the midpoint of a frequency distribution.

The interquartile range is the variance between the quantity at the end of the box, 20 - 16 = 4. The interquartile range (IQR)is defined as the mid 50% of the values in distribution when arranged from the lowest to the highest.

The range is defined as the difference between the quantities at the terminal points of the line. Hence, 28 - 10 = 18.

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2.375

Answer:

if the slash (/) is  dividing then your answer would be

608

if the slash (/) means to multiply your answer would be

2.375

Step-by-step explanation:

if you were dividing then you have to do the opposite equation.In this case the opposite of dividing is multiply. Multiply the numbers you have then it will give your missing factor.

(Same goes with multiplying)

Step-by-step explanation:

4x2 - 25b2

We can solve it by the squares so

(2x - 5b) (2x + 5b)

2) x2 - 81

The same case is here so

(x - 9) (x + 9)

The factorization of the trinomial are;

a. 4x² - 25b² = (2x + 5b)(2x - 5b)

b. x² - 81 = (x + 9)(x - 9)

To factor the trinomial 4x² - 25b², we can use the difference of squares formula, which states that a² - b² can be factored as (a + b)(a - b).

Applying this formula to 4x² - 25b², we have:

4x² - 25b² = (2x)² - (5b)²

Now, we can rewrite the trinomial as a difference of squares:

4x² - 25b² = (2x + 5b)(2x - 5b)

Therefore, the trinomial 4x² - 25b² can be factored as (2x + 5b)(2x - 5b).

To factor the trinomial x^2 - 81, we can use the difference of squares formula once again:

x² - 81 = x² - 9²

This can be written as a difference of squares:

x² - 81 = (x + 9)(x - 9)

Thus, the trinomial x² - 81 can be factored as (x + 9)(x - 9).

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Answer:

a)shape 1 is congruent to shape 2 which can be shown using a sequence of dilutions and translations

Answer:

150 ft/min

Step-by-step explanation:

The change in altitude per minute will have the units of ft/min.

We see that we are given the number of feet: 2250 ft, as well as the number of minutes: 15 min.

So, to get ft/min, we can divide 2250 ft (the distance) by 15 min (time) to get the rate: 2250/15 = 150 ft/min

Thus, the change in altitude per minute is 150 ft/min.

Hope this helps!

Answer:

-15 per minute

Step-by-step explanation:

2250/15 = 150

Since it's descending, height is decreasing.

Hence rate of change of height is -15 per minute

Answer:

hi

Step-by-step explanation:

u need to give more information plz thanks

Answer:5 centimeterts

Step-by-step explanation:it right

Answer:

If you take a number and 'subtract" it with another number, it means that you take your second number and remove that amount from the first number

If this helped, say thanks on my profile ;)

Answer:

Definition of subtraction sign. : a mathematical symbol used to indicate that a particular quantity is to be subtracted from another to which it is joined by the symbol : a symbolic representation of the relation of subtrahend and minuend —symbol −

Step-by-step explanation: