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2 years ago

Quadrilateral wxyz is a paralelogram if w=50 what is wzy

Mathematics

1 answer:

slega [8]2 years ago

8 0

It means different digits.
W=50 would count as one of the digits.
Now you have to figure out what “XYZ” is.

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If Elizabeth skates 2/3 mile in 2/9 hour how far does she skate in 1 hour?

padilas [110]

Answer:

3 miles in a hour

Step-by-step explanation:

2/3÷2/9

=6/2

=3 miles in a hour

8 0

3 years ago

Write the equation of the parabola in vertex form that has the following properties: passes through the point (2, 12) and has a

tatuchka [14]

Answer:

Step-by-step explanation:

f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)

so the equation of parabola with the vertex (4, -4) is

f(x) = a(x - 4)² - 4

passes through the point (2, 12) means if x=2 then f(x)=12

12 = a(2 - 4)² - 4

12 +4 = a(-2)² - 4 +4

16 = 4a

a = 4

Therefore the equation (in vertex form) of parabla is:

4 0

3 years ago

Write a few sentences about different ways to show subtraction for a problem like 32-15.

Sliva [168]

Well the way to subtract 32 by 15 is simple you have to line them up vertically and subtract. You also have to do some borrowing so basically it will look like this
32
-
15
________
17

5 0

4 years ago

A line passes through (-2,3), (2,5), and (6,k). Find k.

Semenov [28]

We know the line runs through -2,3 and 2,5.

it also runs through 2, 5 and 6,k.

since all points are on the line, they're colinear, and therefore the line runs also through -2,3 and 6,k.

keeping in mind that line maintains a constant slope, therefore, the slope for -2,3 and 2,5, has to be the same slope as for 2,5 and 6,k.

what is the slope of -2,3 and 2,5 anyway?

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ -2}} &,&{{ 3}}~) 
% (c,d)
&&(~{{ 2}} &,&{{ 5}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{5-3}{2-(-2)}\implies \cfrac{5-3}{2+2}\implies \cfrac{2}{4}\implies \cfrac{1}{2}$

and since we know the slope of 2,5 and 6,k is the same, then,

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ 2}} &,&{{ 5}}~) 
% (c,d)
&&(~{{ 6}} &,&{{ k}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{k-5}{6-2}\implies \cfrac{k-5}{4}=\stackrel{slope}{\cfrac{1}{2}}
\\\\\\
2k-10=4\implies 2k=14\implies k=\cfrac{14}{2}\implies k=7$

4 0

3 years ago

Find the area of the rectangle below by multiplying its length and width.

horrorfan [7]

To find the area of a rectangle, we are going to use the formula: $A=lw$
where
$A$ is the area
$l$ is the length
$w$ is the width

From our problem we can infer that $l=5x-4$ and $l=(2x-5)$ . Lets replace those values in our formula to find the ara of our rectangle:
$A=(5x-4)(2x-5)$
$A=10 x^{2} -25x-8x+20$
$A=10 x^{2} -33x+20$

We can conclude that the area of our rectangle is $A=10 x^{2} -33x+20$ .

8 0

3 years ago