Answer:
y = 2x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (0, 9)
m = =
= 2
The line crosses the y- axis at (0, 9) ⇒ b = 9
y = 2x + 9 ← equation of line
Answer:
112 ft.
Step-by-step explanation:
This shape is a trapezoid. To find the area of a trapezoid, use the formula: . First find base one. The shape in the middle is a square, so the top side of the trapezoid will be worth 8 ft as well. Now add the two bases 8 + 20 to get 28 and then divide by 2 to get 14. Now multiply 14 by the height (8). 14 x 8 is 112 ft.
Hope it helps and is correct!
Answer:
5t - 18
Step-by-step explanation:
(7 - 3t) - 5(-1.6t + 5)
First, we need to distribute the right side to get rid of the parentheses.
-5 * -1.6t = 8t
-5 * 5 = -25
8t - 25
Now, we have
(7 - 3t) + 8t - 25
We no longer need the parentheses on the left side.
7 - 3t + 8t - 25
Combine like terms.
-3t and 8t are like terms.
-3t + 8t = 8t - 3t
8t - 3t = 5t
7 and -25 are like terms.
7 - 25 = -18
5t - 18
Because 5t and -18 are NOT like terms, this is as far as we can simplify. So, we have our answer.
Please let me know if you have any further questions. I'm always happy to help!
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Math Enthusiast
Answer:
8 inches
Step-by-step explanation:
Use the formula for <u>area of a triangle</u>:
A = bh/2
"A" for area
"b" for base
"h" for height
What we know:
A = 34in²
h = 8 1/2 in
<u>Substitute</u> the known values into the formula
A = bh/2
(34in²) = b(8 1/2 in)/2
<u>Isolate "b"</u> to solve for the length of the base
(34in²) * 2 = b(8 1/2 in)/2 * 2 Multiply both sides by 2.
(68in²) = b(8 1/2 in)
(68in²)/(8 1/2 in) = b(8 1/2 in)/(8 1/2 in) Divide both sides by (8 2/1 in)
(68in²)/(8 1/2 in) = b Simplify and move variable to left
b = (68in²)/(8 1/2 in)
How to divide a mixed fraction:
Convert to improper fraction
Reformat division
Flip the second fraction
Combine into numerator
Length of base
Therefore the base is 8 inches.