15. 3x - 2y = -2
3x - 3x - 2y = -3x - 2
-2y = -3x - 2
-2 -2
y = 1.5x + 1
y - y₁ = m(x - x₁)
y - 3 = ⁻²/₃(x - (-2))
y - 3 = ⁻²/₃(x + 2)
y - 3 = ²/₃(x) - ²/₃(2)
y - 3 = ⁻²/₃x - 1¹/₃
+ 3 + 3
y = ⁻²/₃x + 1²/₃
16. 230 = 0.2s + 150
- 150 - 150
80 = 0.2s
0.2 0.2
400 = s
17. y = 2x + 2
Answer:
<h2>x = 5</h2>
Step-by-step explanation:
|<------------------- 32 units ---------------->|
K-----------------------L-------------------------M
3x + 6 11
KL + LM = KM
3x + 6 + 11 = 32
3x = 32 - 11 - 6
x = 15 / 3
x = 5 units
Henrietta will create more bracelets per minute because sydney creates 24/40 of a bracelet per 10 seconds compared to sydney who makes 25/40 of a bracelet per 4 seconds.
Answer:
<h2>The area of the base is 144 square inches.</h2><h2>The area of each triangular face is 66 square inches.</h2><h2>Grabiel needs 408 square inches of paint.</h2>
Step-by-step explanation:
The complete problem is attached.
Notice that the figure is a square pyramid, where its base dimensions are 12 inches by 12 inches, which represents an area of
The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face
But there are four triangle faces, so 
.
Therefore, the area of each triangular face is 66 square inches.
So, the total surface area would be the sum
Therefore, Gabriel needs 408 square inches to paint the whole model.
X = 650 + 60t
The cheetah must arrive at the same place at the same time:
x = 90t
650 + 60t = 90t
30t = 650
t = 650/30 ≅ 21.7 s
It takes the cheetah a little more than 20 s running at 90 ft/s to reach the moving antelope, so assuming the antelope can maintain its speed of 60, it is safe.
