Answer: a=4, b=16, c=12
Step-by-step explanation:
Use the intercept form: a(x - p)(x - q) where p & q are the intercepts.
Given: p = -3, q = -1, and y-intercept (c) = 12
a[x - (-3)][x - (-1)]
= a(x + 3)(x + 1)
= a(x² + 4x + 3)
= ax² + 4ax + 3a
y-intercept = 12
3a = 12
a = 4
Substitute a = 4
4x² + 4(4)x + 3(4)
= 4x² + 16x + 12
We're told (5,-2) is on the line, that's x=5, y=-2
First one y-5 = -7, (x+2)/3=7/3, not equal
Second one y+5=3, (x-2)/3=1, not equal
Third one y+2=0, (x-5)/3=0, TRUE, equal
Fourth one, y-2=-4 (5+5)/3=10/3, not equal
Answer: third choice y+2 = (1/3)(x+5)
16y^2 – x^2
8x^2 – 40x + 25
64x^2 – 48x + 9
52 square meters
15 square meters
104 square meters
diagram below.
Answer:
C. Because it is 5 units to the left of 3 on a horizontal number line
Step-by-step explanation:
Directed numbers are numbers which has direction i.e either a negative or positive sign before it. This implies that all numbers are directed, since a number without a sign is taken to be positive.
Thus from the given expression,
3 + (-5) = 3 - 5
= -2
So that,
3 + (-5) = -2
Expressing this on the number line, -2 is 5 units to the left of 3. Thus option C is appropriate.