what is the equation in slope- intercept form of the line that passes through the points (-26 -11) and (39, 34) ?
A) y = -9/13 x + 7
B) y = -9/13 x - 7
C) y = 9/13 x + 7
D) y = 9/13 x - 7
step 1
Find out the slope
m=(34+11)/(39+26)
m=45/65
simplify
m=9/13
step 2
Find the equation in slope intercept form
y=mx+b
we have
m=9/13
point (39,34)
substitute and solve for b
34=(9/13)(39)+b
b=34-27
b=7
therefore
the equation is
y=(9/13)x+7
<h2>option C</h2>
Answer:
2x²-2x-24
Step-by-step explanation:
Something has roots of 4 and -3 we can write
(x-4)(x+3)
We then attach a constant, a that will ensure that it passes through the correct point
a(x-4)(x+3)
now plug in the numbers and solve for a
a(3-4)(3+3)= -12
a(-1)(6)= -12
-6a= -12
a=2
So we have
2(x-4)(x+3)
and now it's just a matter of mulitplying/simplifying things
(x-4)(x+3)= x²-x-12
2(x²-x-12)= 2x²-2x-24
-6 - (-2)
-6 + 2
-4.
A is your answer.
Answer:
16 mm
Step-by-step explanation:
Dilation multiplies every length by the dilation factor.
E'F' = (2/5)EF = (2/5)(40 mm) = 16 mm
Answer:
see the explanation
Step-by-step explanation:
we have
Divide by 3 both sides (division property of equality)
Simplify
Subtract 2 both sides (subtraction property of equality)
