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
Ac method
for
ax^2+bx+c
multiply a and c together
find what 2 numbers multiply to get ac and add to get b
split b up
gropu
factor
3x^2+7x+2
2 times 3=6
what 2 numbers multily to get 6 and ad to get 7
6 and 1
3x^2+6x+1x+2
(3x^2+6x)+(1x+2)
3x(x+2)+1(x+2)
(3x+1)(x+2) is factored
Answer:
x = -3/16
Step-by-step explanation:
6x + 5x - 25 = -5x - 28
11x - 25 = -5x - 28
Add 5x to both sides.
16x - 25 = -5x + 5x - 28
16x - 25 = -28
Add 25 to both sides.
16x - 25 + 25 = -28 + 25
16x = -3
Divide both sides by 16
16/16 = 1
-3/16
x = -3/16
Answer:
B. 95º
Step-by-step explanation:
Supplementary angles are ones that add up to 180º.
So if angle 1 is 85º, then the equation would be:
(x-the measure of angle 2)
X + 85 = 180
Solve for x:
X + (85-85) = 180-85
X = 95.
Hope this helps! Have a great day!
D = number of dogs washed
c = number of cats washed
d = (60 - 5c) / 7.50
The 7.50 should be underneath the brackets
