Answer:
70
Step-by-step explanation:
Answer:
P = (2, 7)
Step-by-step explanation:
You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.
<h3>Equation for P</h3>
For some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...
P = A +q(B -A) = (1 -q)A +qB
<h3>Application</h3>
For q = 3/4, the location of P is ...
P = (1 -3/4)A + 3/4B = (A +3B)/4
Using the given point coordinates, we have ...
P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4
P = (2, 7)
35 + 15 x 4 = 60. Paola read 60 pages in total.
Answer:
1x + 5
Step-by-step explanation:
Since the area of a rectangle of width w and length l is A = l*w,
length = Area / Width.
Here, x^2 + 8x + 15
length of rectangle = ----------------------
x + 3
Use synthetic division to perform the above. The coefficients of the quadratic are a = 1, b = 8 and c = 15, and the divisor is -3 (from (x + 3).
-3 / 1 8 15
-3 -15
-------------------------
1 5 0
Since the remainer is zero (0), -3 is a root and 1x + 5 is a factor of the quadratic. This factor, representing the length of the rectangle, is 1x + 5.
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