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Ulleksa [173]
3 years ago
8

Three vertices of parallelogram PRTV are P(-4,-4), R(-10,0), and V(5,-1). Find the coordinates of vertex T.

Mathematics
1 answer:
ira [324]3 years ago
7 0
Slope of TV = Slope of PR
(y + 1)/(x - 5) = (0 + 4)/(-10 + 4)
(y + 1)/(x - 5) = -4/6
6(y + 1) = -4(x - 5)
6y + 6= -4x + 20
equation #1:  6y + 4x = 14

Slope of RT = Slope of PV
(y - 0)/(x + 10) = (-1 + 4)/(5 + 4)
(y - 0)/(x + 10) = 3/9
3(y - 0) = 9(x + 10)
3y  = 9x +90
equation #2:  3y  = 9x +90

<span>We now we have 2 equations with 2 variables, and we can use any method (substitution, linear combination, matrix) to solve for the x and y coordinates. 
</span>
equation #1:  6y + 4x = 14
equation #2:  3y - 9x  = 90

Multiply equation 2 by -2

equation #1:    6y + 4x = 14
equation #2:  -6y + 18x  = -180

Add together Eq. 1 & 2

22x = -166
x = -7.5

6y +4(-7.5) = 14
6y = 44
y = 7 1/3

(-7 1/2, 7 1/3)
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x = 4 ± \sqrt{73}

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4 0
3 years ago
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MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Marina CMI [18]

Question 2. :

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8 0
3 years ago
1)Evaluate 2A - 3B for A = 7 and B = -2.
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Hey Brion,

1) <span>Evaluate 2A - 3B for A = 7 and B = -2.
To solve this start by filling in the variables.
2(7) - 3(-2)

Now multiply, remember that a positive times a negative is a negative.
14 - (-6)

Finally, subtract. Remember, Keep, Change, Change (KCC). Keep the first number, change symbol (for subtraction use addition), and change the negative number to a positive number.
14 + 6 = 20

</span><span>2) If x = -3, then x 2-7x + 10 equals
Start by filling in the variables.
-3(2) - 7(-3) + 10

Now follow PEMDAS (Parentheses, Exponents, Multiplication & Division, Addition & Subtraction) to solve. Remember K.C.C (no.  1 above)
</span>-3(2) - 7(-3) + 10
<span>(-6) - (-21) + 10
(-6) + (21) + 10
15 + 10
25*****See NOTE!***
</span><span>_____________________________________________________________
Note: For #2 you may be missing a symbol between the first "x" and "2" because the answer I got above (25) is not one of your choices. Let me know what symbol is missing in the equation: </span><span>x 2-7x + 10, and I will help you solve it.</span>
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3 years ago
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