Answer:
c) 8.6
Step-by-step explanation:
Take the coordinates of the two points.
(0,8) and (7,3)
Formula:
√(x₁ - x₂)² + (y₁ - y₂)²
Substitute:
√(0 - 7)² + (8 - 3)²
√(-7)² + (5)²
√(49) + (25)
√(74) ≈ 8.6
Answer:
32 inches^3
Step-by-step explanation:
Volume = 1/2 ( base x height x length)
0.5 ( 4 x 2 x 8) = 32 inches^3
X = pencils, y = pens
8x + 6y = 8.50
4x + 4y = 5.....multiply by -2
----------------
8x + 6y = 8.50
-8x - 8y = -10 (result of multiplying by -2)
-----------------add
-2y = - 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75
4x + 4y = 5
4x + 4(0.75) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 0.50 <== pencils cost 0.50
Answer:
The height of the prism is 
Step-by-step explanation:
we know that
The volume of the rectangular prism is equal to
In this problem we have
substitute in the formula and solve for H
![H=5,376/[(14)(16)]](https://tex.z-dn.net/?f=H%3D5%2C376%2F%5B%2814%29%2816%29%5D)
Nice, already in vertex form
y=a(x-h)^2+k
(h,k) is vertex
therfor since (-3,6) is vertex
we are looking for something like
y=a(x-(-3))^2+6 simplified to
y=a(x+3)^2+6
A is ansre
