Answer:
y + 7 = -1/4(x - 4)
General Formulas and Concepts:
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = -1/4
Point (4, -7)
<u>Step 2: Write Function</u>
y + 7 = -1/4(x - 4)
Answer:
300 in³
Step-by-step explanation:
By definition, volume of a pyramid,
= (Base Area x height ) / 3
= (90 x 10) / 3
= 900/3
= 300 in³
Answer:
The height is 6 unit
The base is 2 units.
Step-by-step explanation:The given rectangle has vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1).
Answer:
Step-by-step explanation:
<u>Given vertices WXYZ:</u>
- W(-4,5), X(2,4), Y(3, -4), Z(-1, -6)
Perimeter is the sum of the side length.
<u>Use distance formula to find each side:</u>
- WX =
≈ 6.08 - XY =
≈ 8.06 - YZ =
≈ 4.47 - WZ =
≈ 11.40
<u>Find perimeter:</u>
- P = 6.08 + 8.06 + 4.47 + 11.40 = 30.01 units
Answer:
f(g(9)) = 945/16
Step-by-step explanation:
To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).
g(x) = x + 3/4
f(x) = x² - 4x - 3
f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3
f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3
f(g(x)) = x² - 5/2x + 9/16 + 3 - 3
f(g(x)) = x² - 5/2x + 9/16
Now, put a 9 wherever there is an x in f(g(x)).
f(g(9)) = (9)² - 5/2(9) + 9/16
f(g(9)) = 81 - 5/2(9) + 9/16
f(g(9)) = 81 - 45/2 + 9/16
f(g(9)) = 117/2 + 9/16
f(g(9)) = 945/16
