All categories

1 year ago

What is the slope of the line containing the points (-6,4) and (2,1)

1 answer:

8 0

In order to find the slope, we need the formula (y2-y1)/(x2-x1). The x and y represent the point (x,y). (-6,4) is our first point. (2,1) is our second point. (1-4)/2-(-)6 > -3/2+6> -3/8

The slope is -3/8.

You might be interested in

Anna works as a painter. She charges S130 for paint supplies and $25 for each hour, h, she

Misha Larkins [42]

Answer:

$25(h) + $130

Step-by-step explanation:

8 0

1 year ago

Read 2 more answers

Help! <br> Which expression is equivalent? <br> On edge

Ira Lisetskai [31]

Answer: Choice B

$x^{1/8}y^{8}$

======================================================

Explanation:

The two rules we use are

$(a*b)^c = a^c*b^c$

$(a^b)^c = a^{b*c}$

When applying the first rule to the expression your teacher gave you, we can say that:

$\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}$

Then applying the second rule lets us say

$\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}$

Therefore,

$\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}$

-------------

In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

7 0

2 years ago

In the diagram below, triangle abc ~ triangle dec . What is the value of x? A. 28 b. 24 c. 22 d. 26

Lesechka [4]

Answer:

Option A.

Step-by-step explanation:

From the figure attached,

Given : ΔABC ~ ΔDEC

By the property of similarity,

"Corresponding sides of the similar triangles are proportional"

$\frac{\text{AB}}{ED}=\frac{BC}{EC}=\frac{AC}{DC}$

Since, $\frac{\text{AB}}{ED}=\frac{AC}{DC}$

$\frac{42}{6}=\frac{x}{(32-x)}$

6x = 42(32 - x)

6x = 1344 - 42x

6x + 42x = 1344

48x = 1344

x = $\frac{1344}{48}$

x = 28 units

Therefore, Option (A). x = 28 units will be the answer.

4 0

3 years ago

It takes Santa 5 minutes to fly 35 miles with the wind .It takes him 7 minutes to fly 35 miles against the wind determine the sp

Dmitrij [34]

Answer: Santa's speed in still air is 6 miles per minute

Speed of the wind is 1 mile per minute

Step-by-step explanation:

Let x represent the speed of Santa in still air. It is assumed that in still air. She is flying with the wind. If the speed of the wind is y, then him total speed is x + y

It takes Santa 5 minutes to fly 35 miles with the wind.

Speed = distance / time

It means that

x + y = 35/5 = 7

It takes him 7 minutes to fly 35 miles against the wind. This means that his total speed will be x - y

Speed = distance/time. Therefore,

x - y = 35 /5 = 5 - - - - - - 1

Substituting x = 7 - y into equation 1, it becomes

7 - y - y = 5

-2y = 5 - 7 = -2

y = -2/-2 = 1

x = 7 - y = 7 - 1

x = 6

3 0

2 years ago

I need help in this one ASAP please

Ber [7]

Step-by-step explanation:

A= 90 degree

B= 180

C=118

Student committed a minor act of plagiarism or cheating a second time in his/her work or exam for a class OR

committed a serious act of plagiarism or cheating. Serious acts include: copying or purchasing an essay or other

assignment and presenting it as your own, obtaining and using unauthorized materials (paper, electronic) or help

(verbal) during an exam, or obtaining extensive help from classmates or non-classmates for an exam. These can

result in a failing grade for the related assignment or exam

4 0

2 years ago