10 months ago

The two lines graphed below are not parallel. How many solutions are there to

Mathematics

1 answer:

Sonbull [250]10 months ago

5 0

Question

The two lines graphed below are not parallel. How many solutions are there to

the system of equations?

•A. Infinitely many

•B. Two

•C. Zero

•D. One

D: One is the answer

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The coordinates below represent two linear equations.

vovikov84 [41]

First write the equations in the slope-intercept form:
$y=mx+b \\ \\
m=\frac{y_2-y_1}{x_2-x_1}$

Line 1 passes through the points (-6,-6) and (-4,-3).
$m=\frac{-3-(-6)}{-4-(-6)}=\frac{-3+6}{-4+6}=\frac{3}{2} \\ \\
(-6,-6) \to x=-6, \ y=-6 \\
-6=\frac{3}{2} \times (-6) + b \\
-6=-9+b \\
b=3 \\ \\ y=\frac{3}{2}x+3$

Line 2 passes through the points (0,3) and (2,6).
$m=\frac{6-3}{2-0}=\frac{3}{2} \\ \\
(0,3) \to x=0, \ y=3 \\
3=\frac{3}{2} \times 0 + b \\
b=3 \\ \\
y=\frac{3}{2}x+3$

These are two identical lines so the system of equations has infinitely many solutions. The answer is D.

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3 years ago

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WILL GIVE BRAINLIEST: if the roots of the equation x^3 +px^2+qx+r = 0 are 2, 3, and 4, find the values of p, q, and r.

klasskru [66]

8+4p+2q+r=0
27+9p+3q+r=0
64+16p+4q+r=0
P=-9
Q=26
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2 years ago

Two fields at a state park are 1,000 maters from each other. On a map, the two fields are 8 centimeters apart. what scale is the

marshall27 [118]

Answer:

$\frac{1cm}{125 meters}$