Tip, the teachers are lazy, they probably copied it from online search it up, and see if the answer key is there.
Answer:
y+10 = 2(x+1)
Step-by-step explanation:
We have two points so we can find the slope
(−1,−10) and (5,2)
m = (y2-y1)/(x2-x1)
= (2- -10)/(5 - -1)
= (2+10)/(5+1)
= 12/6
=2
The point slope form is
y-y1 = m(x-x1)
y - -10 = 2(x--1)
y+10 = 2(x+1)
If we use the other point
y -2 = 2(x-5)
Answer:
m = 1 + 2log(x)/log(y)
Step-by-step explanation:
Taking logarithms, you have ...
log(x) +m·log(y) = log(y) +3log(x)
m·log(y) = log(y) +2·log(x) . . . . subtract log(x)
m = (log(y) +2·log(x))/log(y) . . . divide by the coefficient of m
m = 1 +2·log(x)/log(y) . . . . . . . simplify a bit*
_____
* The "simplified" form will depend on your preference. Here, I like the integer 1 brought out because most logs are irrational. The result may be very slightly more accurate if we add 1, rather than log(y)/log(y)--depending on your calculator.
$78.48 / 24 = $3.27
The cost was $3.27 per gallon.
This congruency thing is all about corresponding sides and angles. In quadrilateral BCDE and OPQR, DE and QR are in corresponding positions. You don't even have to draw them out to see that. Just like you can say that angle B and angle O are corresponding, and side BC is corresponding to side OP. Match them up; that's all there is to it!
