Answer:
1080 m^2 Don't submit m^2 in your answer.
Step-by-step explanation:
Givens
The catch is to find h
To do that, use a^2 + b^2 = c^2
a b and c are in the same 1/2 triangle.
a = 48/2 = 24 m
b = h = ?
c = 51 meters
Solution
a^2 + b^2 = 51^2 Substitute for b^2 = h^2
24^2 + h^2 = 51^2 Expand 24^2 and 51^2
576 + h^2 = 2601 Subtract 576 from both sides
h^2 = 2601 - 576
h^2 = 2025 Take the square root of both sides
h = 45
Area
Area = 1/2 b * h
Area = 1/2 48 * 45
Area = 1080
Remark
Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.
To find the area, you need to use all of 48 because 48 is the full length of the base.
Answer:
60
Step-by-step explanation:
1/6(x+6)=11
1/6x+1=11
1/6x=11-1
1/6x=10
1/6/1/6=10/1/6
10x6=60
pls brainliest
Answer:
x-intercept ⇨ -1/3
y-intercept ⇨ 1
Step-by-step explanation:
⟺ Finding the x-intercept, substitute y = 0
Move 1 to subtract the another side.
Then move 3 to divide -1, leaving only x as a subject since we want to find the x-intercept.
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⟺ Finding the y-intercept, substitute x = 0
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Tips:
Here's the tips about finding the intercepts of the graph.
⟺ For x-intercept, It's like solving an equation to find the x-term.
⟺ For y-intercept, It's like using the constant to answer.
As for y = mx+b where m = slope and b = y-intercept.
For a linear function, It's not necessary to substitute x = 0 just to find y-intercept as we can answer the constant as our y-intercept.
First you open 2 parenthesis with x in each one:
(x )(x )=0
Then, you place the sign of the second term (the x term) in the first parenthesis.
(x+ )(x )=0
Next, you multiply the signs of the x term and the sign of the constant (the third term).
Since + × - = -, then you place a -.
(x+ )(x- )=0
You look at the constant (-18) and the second term (3). What two numbers multiplied give you -18 but subtracted (since the signs inside the parenthesis are opposite) give you 3? Those numbers are 6 and 3.
Since the result of the substraction need to be 3, you place the 6 with the + sign and the 3 with the negative sign (if you think of it, 6-3=3 but 3-6 = -3. That's the reason behind placing the numbers)
(x+6)(x-3)=0
Therefore,
x+6=0 or x-3=0
x=-6 or x=3
Your roots are -6 and 3.
