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Lorico [155]
4 years ago
11

Find the area of the triangle.

Mathematics
1 answer:
madreJ [45]4 years ago
8 0
Start by finding the area of each smaller right triangle.
Right triangle area = (1/2)hb -> h = height & b = base
b = 4 & h = 3
(1/2)(4)(3) = 6
6*2 = 12 (there are two right triangles)
The area of the entire triangle is 12yd^2
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Write the inverse function for the function, ƒ(x) =1/2x + 4. Then, find the value of ƒ^ -1(4). Type your answers in the box.
Kipish [7]

Answer:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

Step-by-step explanation:

f(x) = \frac{1}{2} x + 4\\x = \frac{1}{2} f^{-1}(x) + 4\\x - 4 = \frac{1}{2} f^{-1}(x)\\2x - 8 = f^{-1}(x)\\f^{-1}(x) = 2x - 8

Let's test it

f^{-1}(f(x)) = 2(f(x)) - 8\\f^{-1}(f(x)) = 2( \frac{1}{2}x + 4) - 8\\f^{-1}(f(x)) = \frac{2}{2}x + 8 - 8\\f^{-1}(f(x)) = x

So we do indeed have the inverse function, so using that we can plug in the values requested:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

4 0
3 years ago
One printing press can print the whole school newspaper in 12 hours, while another press can print in 18 hours. How long will th
rusak2 [61]

Answer:

7 Hours 12 Minutes

Step-by-step explanation:

So they one of the printer increases at a rate of 1/12 and the other increases at a rate of 1/18. Since you don't know the time it actually takes, you will replace both numerators with and x. (x/12 and x/18). You want to set these up so that they are adding. (x/12 + x/18=1). Since you're adding, you want to change it to the same denominator. The lowest is 36 so you multiply x/12 by 3/3 (so you don't unbalance the equation) and x/18 by 2/2. You'll end up with 3x/36 + 2x/36= 1 which will simplify to 5x/36=1. Multiply each side by 36 to leave the variable by itself. It becomes 5x=36 and when you divide it by 5 you get 7.2. So it's seven and .2 hours, which is equivalent to7 and 1/5 of an hour or 7 hours and 12 minutes.

8 0
3 years ago
Please help pretty please.
Masteriza [31]

Answer:

reflection then translation

Step-by-step explanation:

you reflected of the y axis and then you translated 2 left and 5 up which brings you to 3

3 0
1 year ago
Credit unions are not subject to federal regulations. A. True B. False
Stolb23 [73]

Answer:

The correct answer is (FALSE)

Step-by-step explanation:

(APEX)

6 0
3 years ago
Find the area of that with explanations thanks
TEA [102]

Answer:

900m or 300m

Step-by-step explanation:

45 x 20 = 900

30 x 10 = 300

3 0
3 years ago
Read 2 more answers
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