9514 1404 393
Answer:
Step-by-step explanation:
The outside factor multiplies each term in parentheses.
a) 2(b+c) = 2b +2c
b) 5(7h +3m) = 5×7h +5×3m = 35h +15m
c) e(f +g) = ef +eg
One method is to round 997 up to 1000, multiply by 8, and then subtract 8 times 3. This would give you the solution of 7976.
Another method (Which I personally wouldn't use) is to recursively double 997. This is more difficult, although effective. After you double 997, double the resulting number, and then double the resulting number from that, you have the solution. This is because 2^3 is 8.
I think the answer is B.
Rotating a polygon changes it’s location not size.
Hope this is helpful.
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (5, 2), thus
y = a(x - 5)² + 2
To find a substitute (4, - 3) into the equation
- 3 = a + 2 ⇒ a = - 3 - 2 = - 5
y = - 5(x - 5)² + 2 ← in vertex form
Expand (x - 5)² and distribute by - 5
y = - 5(x² - 10x + 25) + 2
= - 5x² + 50x - 125 + 2
= - 5x² + 50x - 123 ← in standard form
y = mx + b "m" is the slope, "b" is the y-intercept (the y value when x = 0)
1. slope: -3
y-intercept: 7
y = -3x + 7
Your answer is B
y + 3x = 7 Subtract 3x on both sides
y = -3x + 7
2. y + 9(x + 3) = 0 Multiply/distribute 9 into (x + 3)
y + 9x + 27 = 0 Subtract 9x and 27 on both sides to get "y" by itself
y = -9x - 27
slope: -9
y-intercept: -27 or (0,-27)
Your answer is D
3. Point-slope form: y - y₁ = m(x - x₁)
slope: -11
(x₁ , y₁) = (-5, 7)
y - 7 = -11(x - (-5)) The two negative signs becomes a positive
y - 7 = -11(x + 5)
Your answer is C
4. For this question, I think you get it from point-slope form to slope-intercept form (I'm not sure, but you still get the same answer if you just do slope-intercept form)
slope: -4
(x₁ , y₁) = (2, -8)
y - y₁ = m(x - x₁)
y - (-8) = -4(x - 2)
y + 8 = -4(x - 2) Multiply/distribute -4 into (x - 2)
y + 8 = -4x + 8 Subtract 8 on both sides to get "y" by itself
y = -4x
Your answer is A
