Answer:
x = -11/9
Step-by-step explanation:
7(x+3)=-2(x-5)
Distribute
7x+21 = -2x+10
Add 2x to each side
7x+21 +2x = -2x+10+2x
9x +21 = 10
Subtract 21 from each side
9x +21-21 = 10-21
9x = -11
Divide each side by 9
9x/9 = -11/9
x = -11/9
Answer:
4
Step-by-step explanation:
the third angle of the inner triangle is defined by using the rule that the sum of all angles in a triangle must be 180 degrees. let's call this angle a
180 = 48 + 16x + a
132 - 16x = a
and then we know that both angles, 28x and a together must also be 180, as they are complementing each other to cover the whole top of the base line.
so,
28x + 132 - 16x = 180
12x = 48
x = 4
The equation of a line is:
y = mx + c
The m is the gradient of the line, and the c is the y-intercept of the line
That means that the y-intercept of [y = -4x + 3] is 3
and the y-intercept of [y = -4x + 4] is 4
So the distance between the two y-intercepts is:
4 - 3 = <u>1</u>
Use distance formula
=√(3-3)^2 +(-4-4)^2
=√64
=8
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