Answer:
x=4
y=3
Step-by-step explanation:
we have the following equations
3x+y=15 equation 1
5x-4y=8 equation 2
using equation 1 we have:
y=15-3x equation 3
using equation 3 in equation 2 we have:
5x-4(15-3x)=8
5x-4*15+4*3x =8
5x-60+12x = 8
17x=68
x=68/17
so we have x=4
finally in equation 3:
y = 15-3(4)
y = 15-12
y = 3
Answer:
Opens upward
Step-by-step explanation:
Since the coefficient of
is a positive number +8, then it is a parabola that opens upward
A. 2x3=6 and 6x12=72 so 78 is greater than 36
6+72=79 which is less than 90
Answer: k = -1 +/- √769
<u>Step-by-step explanation:</u>
48x - ky = 11
<u>-48x </u> <u> -48x</u>
-ky = -48x + 11
Slope:
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(k + 2)x + 16y = -19
<u>- (k + 2)x </u> -<u>(k + 2)x </u>
16y = -(k + 2)x - 19
![\frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B16y%7D%7B16%7D%20%3D%20-%5Cfrac%7B%28k%20%2B%202%29x%7D%7B16%7D%20-%20%5Cfrac%7B19%7D%7B16%7D)
![y = -\frac{(k + 2)x}{16} - \frac{19}{16}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B%28k%20%2B%202%29x%7D%7B16%7D%20-%20%5Cfrac%7B19%7D%7B16%7D)
Slope: ![-\frac{(k + 2)}{16}](https://tex.z-dn.net/?f=-%5Cfrac%7B%28k%20%2B%202%29%7D%7B16%7D)
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and
are perpendicular so they have opposite signs and are reciprocals of each other. When multiplied by its reciprocal, their product equals -1.
*
= -1
= 1
Cross multiply, then solve for the variable.
(k + 2)(k) = 16(48)
k² + 2k - 768 = 0
Use quadratic formula to solve:
k = -1 +/- √769