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Vika [28.1K]
2 years ago
12

Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?

Mathematics
1 answer:
Svetlanka [38]2 years ago
7 0

Answer:

  C

Step-by-step explanation:

The first equation has a y-intercept of -3. Only one line does.

The second equation has a y-intercept of +1. Only one line does.

The point of intersection of those two lines is the point labeled C. That has coordinates that satisfy both equations. (The point is on both lines.)

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4 years ago
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3 years ago
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Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

5 0
3 years ago
If the vertex of a parabola is (-4, 6) and another point on the curve is (-3, 14), what is the coefficient of the squared expres
Luda [366]
\bf \qquad \textit{parabola vertex form}\\\\\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array}\qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex\ (-4,6)\qquad 
\begin{cases}
h=-4\\
k=6
\end{cases}\implies y=a(x-(-4))^2+6
\\\\\\
y=a(x+4)^2+6
\\\\\\
\textit{we also know that }
\begin{cases}
x=-3\\
y=14
\end{cases}\implies 14=a(-3+4)^2+6

solve for "a"
8 0
4 years ago
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