Let x be larger integer so x-3 is the smaller
so x^2+ x-3 = 87
x^2 +x -90=0 and factor
(x-9)(x+10)=0
x=9 or x=-10 but x must be positive
so x=9 and smaller number is 6
Answer:
y= -1
Step-by-step explanation:
A horizontal line would mean that it has no slope, since the line is not decreasing or increasing. The horizontal line drawn through (0, -1) would pass through (-2, -1), since they share the same y coordinate.
Answer:
The grandmother is who to go to for heavy metal. The grandmother has a 60% chance of getting something else while the grandfather has a 71% chance. The odds aren't good but granny is who to go with.
Answer:
![M(x,y) = (4.8,4.4)](https://tex.z-dn.net/?f=M%28x%2Cy%29%20%3D%20%284.8%2C4.4%29)
Step-by-step explanation:
Given
![P(x_1,y_1) = (6,2)](https://tex.z-dn.net/?f=P%28x_1%2Cy_1%29%20%3D%20%286%2C2%29)
![Q(x_2,y_2) = (3,8)](https://tex.z-dn.net/?f=Q%28x_2%2Cy_2%29%20%3D%20%283%2C8%29)
![m:n = PM:MQ = 3 : 2](https://tex.z-dn.net/?f=m%3An%20%3D%20PM%3AMQ%20%3D%203%20%3A%202)
Required
Determine the coordinates of M
To solve this, we make use of the following partition formula:
![M(x,y) = (\frac{nx_2+mx_1}{n+m},\frac{ny_2+my_1}{n+m})](https://tex.z-dn.net/?f=M%28x%2Cy%29%20%3D%20%28%5Cfrac%7Bnx_2%2Bmx_1%7D%7Bn%2Bm%7D%2C%5Cfrac%7Bny_2%2Bmy_1%7D%7Bn%2Bm%7D%29)
Substitute values for m, n, x's and y's
![M(x,y) = (\frac{2*3+3*6}{2+3},\frac{2*8+3*2}{2+3})](https://tex.z-dn.net/?f=M%28x%2Cy%29%20%3D%20%28%5Cfrac%7B2%2A3%2B3%2A6%7D%7B2%2B3%7D%2C%5Cfrac%7B2%2A8%2B3%2A2%7D%7B2%2B3%7D%29)
![M(x,y) = (\frac{24}{5},\frac{22}{5})](https://tex.z-dn.net/?f=M%28x%2Cy%29%20%3D%20%28%5Cfrac%7B24%7D%7B5%7D%2C%5Cfrac%7B22%7D%7B5%7D%29)
![M(x,y) = (4.8,4.4)](https://tex.z-dn.net/?f=M%28x%2Cy%29%20%3D%20%284.8%2C4.4%29)
<em>Option D is correct</em>