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3 years ago

(7, -1) and (21,-5) What is the slope

Mathematics

1 answer:

shepuryov [24]3 years ago

4 0

Answer:

the slope is -2/7

Step-by-step explanation:

21-7= 14

-4/14 = -2/7

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Find the equation of a line that passes through the point (-2,3) and has a gradient of 3.

nadya68 [22]

Answer:

y = 3x+9

Step-by-step explanation:

The standard form of equation of a line is in the form y = mx + c

m is the gradient

c is the y intercept

Get the y-intercept

Substitute m = 3 and the point (-2, 3) into the formula y = mx+c

3 = 3(-2) + c

3 = -6+c

c = 3+6

c = 9

Get the required equation;

y = 3x + 9

Hence the required equation is y = 3x+9

5 0

3 years ago

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the di

Olin [163]

Solution: We are given:

ACT scores follow normal distribution with $\mu=20.9,\sigma =4.8$

SAT scores follow normal distribution with $\mu=1026,\sigma=209$

Now, let's find the z score corresponding to Joe's SAT score 1351.

$z=\frac{x-\mu}{\sigma}$

$=\frac{1351-1026}{209}$

$=\frac{325}{209}$

$=1.56$

Therefore, Joe's SAT score is 1.56 standard deviations above the mean.

Now, we have find the Joe's ACT score, which will be 1.56 standard deviations above the mean.

Therefore, we have:

$z=\frac{x-\mu}{\sigma}$

$1.56=\frac{x-20.9}{4.8}$

$1.56 \times 4.8 = x - 20.9$

$7.488=x-20.9$

$x=20.9+7.488$

$x=28.388 \approx 28.4$

Therefore, Joe's equivalent ACT score to SAT score 1351 is 28.4

7 0

3 years ago

Solve for x using cross multiplication.

sukhopar [10]

Step-by-step explanation:

$\frac{5x}{7} = \frac{2x - 4}{3} \\$

$5x \times 3 = 7(2x - 4) \\$

$15x = 14x - 28$

$15x - 14x = - 28$

$x = - 28$

6 0

2 years ago

Read 2 more answers

How do I show my work?

IrinaK [193]

By showing each and every step on how you answered the question

7 0

3 years ago

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Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original l

geniusboy [140]

Now out of these points, steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

The steps to copy a line segment are given below:

1. Let's start with a line segment AB that we have to copy.

2. Now mark a point C. Below or above AB, which will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so that the compass width is equal to the length of AB.

5. Without changing the compass width, now place the compass tip on point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

To learn more about the construction of the line segment visit:

brainly.com/question/19449402.

#SPJ1

4 0

2 years ago