What is the equation of a line with slope -2 and passes through the point (0, 3)?

Note that WXYZ has vertices W(-1, 2), X(-5, 7), y(-1, -2), and Z (3, -7).

svp [43]

a. Slope of WZ = -2.25; Slope of WX = 5

b. WZ = √97; WX = √41

c. WXYZ is not a rectangle, rhombus, nor a square. We can conclude that: D. WXYZ is none of these.

<h3>Slope of a Segment</h3>

Slope = change in y/change in x

Given:

W(-1, 2), X(-5, 7), Y(-1, -2), and Z (3, -7)

a. Slope of WZ and slope of WX:

Slope of WZ = (-7 - 2)/(3 -(-1)) = -2.25

Slope of WX = (7 - 2)/(-1 -(-1)) = 5

b. Use distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ , to find WZ and WX:

$WZ = \sqrt{(3 - (-1))^2 + (-7 - 2)^2}\\\\\mathbf{WZ = \sqrt{97} }$

$WX = \sqrt{(-5 -(-1))^2 + (7 - 2)^2}\\\\\mathbf{WX = \sqrt{41} }$

c. The quadrilateral WXYZ have adjacent sides that are not perpendicular to each other and have different slopes and different lengths, so therefore, WXYZ is not a rectangle, rhombus, nor a square. We can conclude that: D. WXYZ is none of these.

Learn more about slopes on:

brainly.com/question/3493733

5 0

2 years ago

Is this true in maths if a ate many sugar will a get diabites ? remider math question

lana66690 [7]

In math (or English, for that matter), a question is never true or false. Only a statement can have such attributes.

If you make the statement "if A ate many sugar, A will get diabetes," in math it cannot be decided wheter it is true or false without additional information about the truth values of the statements "A ate many sugar" and "A will get diabetes".

7 0

3 years ago

Read 2 more answers

A polyhedron with one pentagonal base is a

alekssr [168]

I think it is an apex

3 0

3 years ago

The sequence an = 8, 13, 18, 23, ... is the same as the sequence a1 = 8, an = an-1 + 5.

harkovskaia [24]

Actually, this answer would be true. Why?

The first equation is: a(sub n) = 8, 13, 18, 23

The second is: a(sub 1)=8 ; a(sub n)= a(sub n-1)+5
if you wish to find the second term, plug two into the equation for n
8+5=13
to find the third, plug the second term, 13, in for n.
13+5=18.

Hope this helped! I know it's a bit on the late side, but at least you can get the general idea!

8 0

3 years ago

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Find the average value of the function on the given interval. f(x)=2 ln x; [1,e]

JulijaS [17]

Answer:

$f_{avg}=\frac{1}{e-1}$