(-2,2)(2,-2)
slope = (-2 - 2) / (2 - (-2) = -4/4 = -1
as far as point slope form, there can be 2 answers...
y - y1 = m(x - x1)
slope(m) = -1
using points (-2,2)...x1 = -2 and y1 = 2
now we sub
y - 2 = -1(x - (-2) =
y - 2 = -1(x + 2) <== or could be written as y - 2 = - (x + 2)
y - y1 = m(x - x1)
slope(m) = -1
using points (2,-2)...x1 = 2 and y1 = -2
now we sub
y - (-2) = -1(x - 2) =
y + 2 = -1(x - 2) <== or can be written as y + 2 = - (x - 2)
either one of those answers is ur point slope form
Answer: the answer is 8
Step-by-step explanation:
Hope this helped.
Step-by-step explanation:
area (S) = base x height, so 2.7 × 7.3 which would be 19.71 inch²
145 = -16 t² + 80 t +s
s = ?
v = v0 - at
0 = 80 - at
80 = at
s = 80 t - at²/2
s = 80 t - 80t/2
s = 40 t
Finally: 145 = -16 t² + 80 t + 40 t
16 t² - 120 t + 145 = 0
We will solve this quadratic equation:
t = [120 +√ ( (-120)²- 4 · 16 · 145 )] / 32
t = [120 + √ (14400 - 9280) ] / 32
t = (120 + 71.55) / 32 = 5.98 ≈ 6 s
Answer:D) 6 seconds
Part (a)
The angles would stay the same. This is because similar figures keep the same shape, but the size will shrink or grow.
A real world application is to simply move your head closer to the page and the figure will appear to get larger. The angles themselves stay the same but the side lengths will get larger.
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Part (b)
While the angles stay the same under a dilation operation, the side lengths do not. As the instructions state: "The side lengths are 3 times longer" (paraphrased).
So we multiply each side length in the diagram by 3
- DE = 3*JK = 3*4.5 = 13.5
- EF = 3*KL = 3*3 = 9
- FG = 3*LM = 3*2 = 6
- GD = 3*MJ = 3*2.5 = 7.5
Refer to the diagram below. I've used the resize feature to enlarge the image to make figure DEFG
