Suppose there is a rectangle with a width and length of x and y. The area would be xy.
A rectangle with width and length 2x and 2y would have an area of 4xy.
In essence, when you multiply the lengths by 2, the area multiplies by 2 SQUARED.
4(4(x+3)) = 16(x+3).
The ratio will be the same for any value of x because the area is still being multiplied by the same 2².
Point slope form is: y - y1 = m(x - x1)
So we plug in the point we were given, and use the slope, m:
y -5 = 4(x - 2) ANSWER
Now: y - 5 = 4x - 8,
so: y = 4x - 8 +5
so: y = 4x - 3 ANSWER
(SLOPE INTERCEPT FORM IS: y =mx + b)
Answer:
1/36
Step-by-step explanation:
P(6,6) = 1/6 x 1/6 = 1/36
Answer:
<BAC = 78
<ABC = 68
Step-by-step explanation:
The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,
<BAC + <ABC = <ACD
Substitute,
(5y + 3) + (4y + 8) = (146)
Simplify,
9y + 11 = 146
Inverse operations,
9y + 11 = 146
-11 -11
9y = 135
/9 /9
y = 15
Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),
<BAC = 5y + 3
5(15) + 3
78
<ABC = 4y + 8
4(15) + 8
68
1/9^2 if that makes sense?
