Answer:
g(-2) = -7
Step-by-step explanation:
To find g(-2), plug -2 into g(x).
g(x) = -4x² + 3x + 15
g(-2) = -4(-2)² + 3(-2) + 15
g(-2) = -4(4) + 3(-2) + 15
g(-2) = -16 + (-6) + 15
g(-2) = -1 + (-6)
g(-2) = -7
13, start with 24, right? 24 plus 6 is 30. 30 minus 12 is 18. 18 minus 5 is 13.
Since this is a scalene triangle, two sides will equal the same, meaning two angles will equal the same. So 70 has an equal on the other side, meaning 70+70=140, and x will equal the remainder, meaning x=40.
Hope that helps.
Answer:
Step-by-step explanation:
The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines
Slope of line 1:
(Yb -Ya)/(Xb - Xa) =
(-10 - (-14))/(-1 - (-3)) =
4/2 =
2
Use that slope to find the Y-intercept of line 1
y = 2x + b
-14 = 2(-3) +b
-14 = -6 + b
-8 = b
Therefore Line 1 is:
y = 2x - 8
Slope of line 2
(11 - 13)/(-1 - (-3)) =
-2/2 =
-1
Y-intercept of line 2
y = -x + b
13 = -(-3) +b
13 = 3 + b
10 = b
Therefore line 2 is
y = -x + 10
Now we have 2 equations to solve for the coordinates x and y
y = 2x - 8
y = -x + 10
Substitute y out in one of the equations
2x - 8 = -x + 10
3x = 18
x = 6
Plug x into one of the equations
y = 2(6) - 8
y = 12 - 8
y = 4
Therefore the solution is:
x=6, y=4
