9514 1404 393
Answer:
WX = 33
(x, y) = (2, 10)
Step-by-step explanation:
The hash marks tell you WX is a midline, so has the measure of the average of the two bases.
WX = (PQ +SR)/2 = (27 +39)/2 = 66/2
WX = 33
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The hash marks also tell you ...
PW = WS
y +4x = 18 . . . . . . substitute the given expressions
and also
QX = XR
2y +x = 22 . . . . . substitute the given expressions
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If you solve the first equation for y, you get ...
y = 18 -4x
Substituting that into the second equation gives ...
2(18-4x) +x = 22
36 -7x = 22 . . . . . . . simplify
14 = 7x . . . . . . . . . . . add 7x-22 to both sides
2 = x . . . . . . . . . . . . divide by 7
y = 18 -4(2) = 10 . . . find y using the above relation
The values of x and y are 2 and 10, respectively.
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My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.
Answer:
a coefficient is the number before a variable for example in 18x 18 is the coefficient or in 27y its 27
Step-by-step explanation:
Answer:
the quadratic formula is ax^2 + bx + c", if the first one is expanded out I will be 6x^2+8x+27 so that's the answer
we have

see the attached figure to better understand the problem
we know that
The perimeter of the triangle is equal to

and
the area of the triangle is equal to

in this problem

we know that
The distance between two points is equal to

Step 
<u>Find the distance AB</u>

Substitute the values in the formula



Step 
<u>Find the distance BC</u>

Substitute the values in the formula



Step 
<u>Find the distance AC</u>

Substitute the values in the formula



Step 
<u>Find the distance DC</u>

Substitute the values in the formula



Step 
<u>Find the perimeter of the triangle</u>

substitute the values


therefore
The perimeter of the triangle is equal to 
Step 
<u>Find the area of the triangle</u>

in this problem

substitute the values


therefore
the area of the triangle is 
10 lbs of apples will cost $55
How? Well...
First, you would need to find the unit rate, which is 5.5
You find the unit rate by simply dividing 33 by 6. Next, after you found your unit rate, you're going to multiply that by 10. We now know that 10 x 5.5= 55. Therefore, you will need $55 for 10 lbs of apples.