Answer:
-13
Step-by-step explanation:
2x²+26x+156=0
x²+13x+78=0
x²+13x=-78
x²+13x+169/4=-143/4
(x+13/2)²=-143/4
x+13/2=(i√143)/2 or x+13/2=-(i√143)/2
x=(i√143)/2-13/2 or x=-(i√143)/2-13/2
(i√143)/2-13/2+(-(i√143)/2)-13/2=(i√143-13-i√143-13)/2=-26/2=-13
Answer:
Equation = y = -4x+7
See the graph below
Step-by-step explanation:
The equation of the line in slope intercept form is expressed as;
y = mx+c
Given
slope m = -4
y-intercept c = 7
Substitute
y = -4x + 7
Get the x intercept.
at y = 0
0 = -4x + 7
4x = 7
x = 7/4
x = 1.75
The x coordinate (1.75, 0)
Get the y intercept
at x = 0;
y = -4(0)+7
y = 0+7
y = 7
The y coordinate is (0, 7)
Answer:
R- (-10, -3)
S- (-10, -6)
Q- (-5, -3)
P- (-5, -6)
Step-by-step explanation:
Well, Q and P would be the exact same coordinates since that land directly on the reflection line.
Basically, on this graph/question you can count how far away the vertices is from the reflection line.
For example, Point R is 5 units away from the reflection line, therefore I need to count over 5 times to the left from the reflection line for point R. (Idk if that makes sense or not, ask questions if you are confused).
Answer: 12.
To solve this problem, let's first solve for x. Thi is easiest done by figuring what QR is in terms of x using two equations, both from different lines.
In the first line:
QR = 15 - 4x.
In the third line:
QR = 13x - 1 - x = 12x - 1.
Now, we have to set these equations equal to each other.
15 - 4x = 12x - 1
15 = 16x - 1
16x = 16
x = 1
Next, we take line three, 13x - 1, and substitute x as 1. The answer is 12.
The x terms add up to 4x and the numbers add up to 12
4x + 12 = 4(x + 3)
Its C
