I need to find the line of the slope that passes through the points (-2,3) and (-14,-5) answer in simplest form

Answer:

Step-by-step explanation:

Triangles are similar if they have the same shape, but not necessarily the same size.

in this case we have

JK/MO = KL/ON = JL/MN

A) Use properties of similar triangles.

The measurement of angle J can be derived from triangle MNO.

Corresponding angle are congruent.

Angle J in triangle JKL correspond with angle M in triangle MNO.

Therefore:

Tangent M = opp/adj

tanM = 2/1.5

tanM = 1.3

M = tan-¹ 1.3

M = 52.43

J = M = 52.43°

B) MO in △MNO corresponds to JK in △JKL

C) JK/MO = KL/ON = JL/MN

find JL using Pythagoras theorem

JL² = KL² + JK²

JL² = 4²+3²

JL = √(16+8)

JL = 5

JK/MO = KL/ON = JL/MN

= 3/1.5 = 4/2 = 5/2.5 = 2/1

Therefore the ratio of larger triangle to small triangle is 2:1

Answer:

What is the measure of angle J?

42 degrees

Which side of △MNO corresponds to JK?

MO

What is the ratio of the larger triangle to the smaller triangle?

2/1

Step-by-step explanation:

got them all right <3333

Given:

Height of a cone = 50 m

Volume of cone = 5400π

To find:

The radius of the cone

Solution:

Volume of cone:

[tex]$V=\frac{1}{3}\pi r^2h[/tex]

[tex]$\frac{1}{3}\pi r^2h=5400\pi[/tex]

Cancel common factor π on both sides.

[tex]$\frac{1}{3} r^2h=5400[/tex]

Substitute h = 50.

[tex]$\frac{1}{3}\times r^2\times 50=5400[/tex]

Multiply by 3 on both sides.

[tex]$3 \times \frac{1}{3}\times r^2\times 50=5400\times 3[/tex]

[tex]$ r^2\times 50=16200[/tex]

Divide by 50 on both sides, we get

[tex]r^2=324[/tex]

Taking square root on both sides, we get

[tex]r=18[/tex]

The radius of the cone is 18 m.

Well it was a lucky guess but the answer is 75

The value of c that makes the vertex the same is 75.

Option C is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The vertex of the function f(x) = 2x² + bx + c has an x-coordinate given by

-b/2a, where a = 2 is the coefficient of the x² term.

The x-coordinate of the vertex is x = -b/4.

To find the y-coordinate of the vertex, we can substitute this value of x into the function f(x) and simplify:

f(-b/4)

= 2(-b/4)² + b(-b/4) + c

= b²/8 - b²/4 + c

= -b²/8 + c

We want the vertex of the new function to be the same as the vertex of f(x), so the x-coordinate of the vertex should still be -b/4.

This means that the new function must have the form

g(x) = 2x² + bx + d, where d is a constant.

We want the y-coordinate of the vertex of g(x) to be the same as the y-coordinate of the vertex of f(x), which is -b^2/8 + c.

Therefore, we must have:

g(-b/4) = -b²/8 + c

Substituting the form of g(x) and simplifying:

2(-b/4)² + b(-b/4) + d = -b²/8 + c

Simplifying further:

-b²/8 + d = -b²/8 + c

d = c

This shows that the value of d (the constant term in the new function g(x)) must be the same as the value of c (the constant term in the original function f(x)) in order for the vertex of the new function to be the same as the vertex of f(x).

Therefore,

The value of c is 75.

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The horizontal distance between Zack and the water fountain is approximately 141.1 feet.

To find the horizontal distance between Zack and the water fountain, we can use trigonometry.

The tangent function relates the angle of depression (\(\theta\)) to the opposite side (height of the tower, \(h\)), and the adjacent side (horizontal distance, \(d\)):

[tex]\[ \tan(\theta) = \frac{h}{d} \][/tex]

Given:

Height of the tower = 75 feet

Angle of depression  = 28°

We rearrange the formula to solve for \(d\):

[tex]\[ d = \frac{h}{\tan(\theta)} \]\[ d = \frac{75}{\tan(28°)} \]Calculating \(\tan(28°)\), and then the distance \(d\):\[ \tan(28°) = 0.531 \]\[ d = \frac{75}{0.531} \]\[ d = 141.1 \][/tex]

So, the horizontal distance between Zack and the water fountain is approximately 141.1 feet.

Answer:

Its D

Step-by-step explanation:

The answer would be 31.1111

Answer:

32.77

Step-by-step explanation:

Answer:

A) mean = 1.2

B) median

C) The measures of center use data points to approximate a middle value or average of a given data set

Step-by-step explanation:

The “balance” process was developed to provide another way in which the mean characterizes the “center” of a distribution. 

The mean is the balance point of the data set when the data are shown as dots on a dot plot (or pennies on a ruler). 

A) The balance point for the points 0.4, 1.4, and 1.8. Will be

(0.4 + 1.4 + 1.8)/3 = 3.6/3 = 1.2

B) The median is the measure of center that is indicated by the center of balance

The median is the value in the center of the data. Half of the values are less than the median and half of the values are more than the median. It is probably the best measure of center to use in a skewed distribution.

C) A measure of central (measure of center tendency) is a value that describe a set of data by identifying the central position of the data set. The three measures of central tendency are the mean, median and mode.

Answer:

(x² + x)/2 = 10

x² + x = 20

x² + x - 20 = 0

(x + 5)(x - 4) = 0

x = -5, 4

Answer:

2200/7 ≈ 314.2857143

Step-by-step explanation:

The formula for the area of a circle is πr²

Since the diameter is 20, the radius is going to be 10 inches

Now just plug that in and get π(10²) which equals 100π

Now multiply 100 with (22/7) and that gives you 2200/7

Answer:

157 1/7 inches

Step-by-step explanation:

I used the formula, A = pi x r squared then divided by 2, since a semicircle is half of a normal circle.

(22/7 x 10 squared divide by 2)

Answer:

51 centimeters

Step-by-step explanation:

first you square the radius, and multiply by pi or 3.14 :)

Answer:

240 inches.

Step-by-step explanation:

To scale up a measurement by a factor of 10, you need to multiply it by 10.
In this case, you want to scale up 2 feet to a larger measurement: 2 feet = 2 x 12 inches = 24 inches

Now, to scale it up by a factor of 10:24 inches x 10 = 240 inches

So, when you scale up 2 feet by a factor of 10, you get 240 inches.

i need to feed the children in my basement, mark me brainliest pls

Answer:

10

Step-by-step explanation:

First divide by six to see how much a sixth is then multiply by five

12/6 = 2

2 x 5 = 10

Answer: 10

Step-by-step explanation:

5/6 of 12

Of in mathematics is multiplication

Meaning

5/6×12

Multiply, you have

=60/6

=10

Answer:

D. the median, because it decreases the influence of outliers

Step-by-step explanation:

Answer:

d :)

Step-by-step explanation:

Answer:

1) The resistance is 2 ohms.

2) The voltage is 4.95 V.

3) The current is 150 amps.

4) The resistance is 0.05 ohms.

Step-by-step explanation:

Using formula, [tex]\text{Resistance}=\frac{\text{Voltage}}{\text{Current}}[/tex]

1) A 12 V battery produces a current of 6 amps. What is the resistance  ?

Voltage - 12 V and Current - 6 amps

[tex]\text{Resistance}=\frac{12}{6}[/tex]

[tex]\text{Resistance}=2[/tex]

The resistance is 2 ohms.

2) Silver has a resistance of 0.0198 ohms. What voltage would produce a current of 250 amps?

Resistance - 0.0198 ohms and Current - 250 amps

[tex]0.0198=\frac{\text{Voltage}}{250}[/tex]

[tex]\text{Voltage}=0.0198\times 250[/tex]

[tex]\text{Voltage}=4.95[/tex]

The voltage is 4.95 V.

3) What is the current produced by a potential dillerence of 120 volts through a resistance of 0.8 ohms?

Resistance - 0.8 ohms and Voltage - 120 V

[tex]0.8=\frac{120}{\text{Current}}[/tex]

[tex]\text{Current}=\frac{120}{0.8}[/tex]

[tex]\text{Current}=150[/tex]

The current is 150 amps.

4) What resistance would produce a current of 120 amps liom a 6 V battery"?

Voltage - 6 V and Current - 120 amps

[tex]\text{Resistance}=\frac{6}{120}[/tex]

[tex]\text{Resistance}=0.05[/tex]

The resistance is 0.05 ohms.

150A is produced by a potential difference of 120 volts through a resistance of 0.8 ohms

Given the formula:

E = IR;

where E is the voltage in Volts, I is the current in Ampere and R is the resistance in Ohms.

a) E = 12V, I = 6A, hence:

12 = 6R

R = 2 Ohms

b) R = 0.0198 Ohm, I = 250A, hence:

E = IR = 0.0198 * 250 = 4.95 V

c) E = 120V, R = 0.8 Ohm

120 = 0.8I

I = 150A

d) I = 120A, E = 6V

E= IR

6 = 120R

R = 0.05 Ohm

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No it is not necessary that Kelvin will get one head and one tail every time

Explanation:

Probability in math is equal to favorable outcomes/total outcomes

The coin has two sides a head and a tail. When we flip a coin we have 50-50 possibility of getting a head and a tail. It means with every toss we have 1/2 possibility of getting head as well as tail.

But this does not mean that when we toss a coin twice we will get one head at one toss and one tail at another toss.

There is a possibility of getting both heads as well as both the tails.

Answer:

ITS 9!!!

Step-by-step explanation:

Answer:

The answer is 9

Step-by-step explanation:

Here is a reference

Answer:

a) x-2f(x)=8

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

1/2 X = 6

X = 12 x 6

Answer:12

Step-by-step explanation:

Answer:

x = 1, -6

Step-by-step explanation:

We can use the quadratic formula (also attached) to solve this. All we need to do is substitute for the values and solve the equation like below.

a = 2, b= 10, c = -12

The answer is D

2x / 5 = 5

5 x 5 = 25

2x = 25

25/2

x= 12.5

Spend Rs. 100 to get 100 items, including ice cream, cakes, and biscuits.

To solve the puzzle, you can buy:

20 ice creams for Rs. 20

4 cakes for Rs. 20

100 biscuits for Rs. 5

This way, you will spend exactly Rs. 100 and get exactly 100 items.

The required factors of the given quadratic polynomial is

[tex]5(3x-2)(2x+1)[/tex]

Quadratic Polynomial:

The general form of the quadratic polynomial is

[tex]ax^2+bx+c[/tex]

we can factorize the quadratic polynomial into linear factors

We have given quadratic polynomial is

[tex]30x^2-5x-10[/tex]

take 5 as common

[tex]5(6x^2-x-2)[/tex]

Factorize the quadratic into linear factors now

[tex]5(6x^2-4x+3x-2)[/tex]

[tex]5(2x(3x-2)+1(3x-2))[/tex]

[tex]5(3x-2)(2x+1)[/tex]

This is the conclusion to the answer.

Hence the correct answer is (E).

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Answer:

you're welcome

Answer:

3 hours

Step-by-step explanation:

Answer:

1. Their answers differ because of approximation

2. See Explanation Below

Step-by-step explanation:

Given

Allison

[tex]Morning: 2\frac{7}{8} miles[/tex]

[tex]Afternoon: 3\frac{3}{8} miles[/tex]

Total: About 6 miles

Jennifer

[tex]Morning: 3\frac{1}{10} miles[/tex]

[tex]Afternoon: 3\frac{3}{10} miles[/tex]

Total: [tex]6\frac{4}{10} miles[/tex]

Required

How their answers differ

To understand how their answers differ; first we need to calculate the actual miles they both ran.

Total = Distance covered in the morning + Distance covered in the evening

For Allison

Total Distance = [tex]2\frac{7}{8} + 3\frac{3}{8}[/tex]

Convert mixed fractions to improper fractions

Total Distance = [tex]\frac{23}{8} + \frac{27}{8}[/tex]

Take LCM and add

Total Distance = [tex]\frac{23 + 27}{8}[/tex]

Total Distance = [tex]\frac{50}{8}[/tex]

Total Distance = 6.25 miles

For Jennifer

Total Distance = [tex]3\frac{1}{10} + 3\frac{3}{10}[/tex]

Convert mixed fractions to improper fractions

Total Distance = [tex]\frac{31}{10} + \frac{33}{10}[/tex]

Take LCM and add

Total Distance = [tex]\frac{31 + 33}{10}[/tex]

Total Distance = [tex]\frac{64}{10}[/tex]

Convert to improper fraction

Total Distance = [tex]6\frac{4}{10} miles[/tex]

From the calculation above, the total distance ran by Allison is 6.25 miles and she said she ran about 6 miles; This means that she approximated the total distance she covered.

Also from the calculation above, the total distance ran by Jennifer is [tex]6\frac{4}{10} miles[/tex] and she said she ran [tex]6\frac{4}{10} miles[/tex]; This means that she gave the actual distance she ran.

Hence, their answers differ because of approximation

Why they are both correct?

As mentioned above, the difference in their answer is approximation.

Approximation is rightly allowed in measurements as long as one is giving the right approximated value.

For Allison; the approximation of 6.25 miles is 6 miles;

For Jennifer; she gave the actual distance she ran ([tex]6\frac{4}{10} miles[/tex])

Base on this, we can conclude that both are correct

then, x-axis

then, 3

Triangle 1 is the image of triangle 2 reflected over the y-axis

Triangle 2 is the image of triangle 3 reflected over the x-axis.

Reflecting triangle 4 over the y-axis results in triangle 3.

A triangle is a three-sided polygon It is one of the most fundamental geometric forms.

Triangle 1 is on the opposite side of triangle 2. When the triangles are bisected, they contact the y-axis.

Triangle 2 is to the left of triangle 3. Triangle 3 is to the right of triangle 2. When the triangles are bisected, they contact the x-axis.

You may build the same form by "mirroring" triangle 4 across the y-axis, then rotating it 90 degrees and placing it at the same distance from the y-axis.

Hence, triangle 1 is the y-axis reflected image of triangle 2, triangle 2 is the x-axis reflected image of triangle 3, and triangle 3 is formed by reflecting triangle 4 over the y-axis.

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Answer:

D

Step-by-step explanation:

If the least it can be is 12, that means that with will have to be equal to 12

so mark out a and b

It also said the least, this means it can not be less than it.

Put these two together and you get D) k is greater than or equal to 12

Answer:

Step-by-step explanation:

Add these 2 equations. 5x-4y=35

X-4y=7

x-y=7/-4

Answer: -4

Add -12+8 or 8+(-12) and get -4

Answer:

-4

Step-by-step explanation:

NOte that - × - =+

+ × +=+

- × + =-

+ × -= +

So according to the question

8+(-2)

Which means that

8((+)×(-12))

8-12

-4

Therefore the final answer is-4

Answer:

Step-by-step explanation:

hello :

calculate :F(x) = ∫(x²-3x+2)dx

F(x) = (1/3)x^3 -(3/2)x² +2x

the area is :A =  F(1)-F(0)

F(1) = (1/3)1^3 -(3/2)1² +2(1) =5/6

F(0) =0

so A= 5/6 Uof area