3.12 I got the answer by dividing 25 by 8
Answer:(1, -3).
Step-by-step explanation:
If y=2x-5 is equation (1) and 4x-y=7 is equation (2), then substitute equation (1) in equation (2):
4x - (2x - 5) = 7
4x - 2x + 5 = 7
2x = 7-5
2x = 2
x = 1
Now substitute the value of x in equation (1) to find the value of y:
y = 2 (1) - 5
y = 2 - 5
y = -3
Answer:
b?
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
<u>Given</u>:
A = (a, 14-a)
P = (3a, a^2 +13a -11)
the slope of AP is 7
a > 0
<u>Find</u>:
a
<u>Solution</u>:
The slope of AP is ...
m = (Py -Ay)/(Px -Ax)
7 = (a^2 +13a -11 -(14 -a))/(3a -a)
14a = a^2 +14a -25
25 = a^2
a = √25 = 5 . . . . . the positive solution
The value of 'a' is 5.
_____
<em>Check</em>
The point A is (a, 14-a) = (5, 9).
The point P is (3a, a^2 +13a -11) = (15, 79)
The slope of AP is (79 -9)/(15 -5) = 70/10 = 7.
