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raketka [301]
3 years ago
10

Find the values of x for which the combined function h(x) = is undefined if f(x) = 5x + 1 and g(x) = x2 - 9.

Mathematics
1 answer:
Rama09 [41]3 years ago
5 0
We need to know the definition of the "combined function" h(x).  I'm going to guess--by looking at answers--that the function is h(x)=\frac{f(x)}{g(x)} making it

h(x)=\frac{5x+1}{x^2-9}

This function is undefined wherever the denominator is equal to 0 (division by zero is undefined).  Factor the denominator.

h(x)=\frac{5x+1}{(x+3)(x-3)}

The two values of x that make the denominator 0 are 3 and -3, otherwise written x=\pm 3.
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What is the area of a right triangle with a hypotenuse of 12 and 1 leg is 10??
Agata [3.3K]
Hey there! :)

Area of triangles → (base × height) ÷ 2

The base and height are the 2 legs. You have to find the length of the other leg to find the area, using the Pythagorean Theorem.

a² + b² = c² → c² - a² = b²

c = 12
12² = 12 × 12 = 144

a = 10
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144 - 100 = 44

√44 = 6.6
_____________________________________________________________

Area of triangles → (base × height) ÷ 2

Base: 10
Height: 6.6

6.6 × 10 = 66

66 ÷ 2 = 33

The area is 33 

Hope this helps :)


5 0
3 years ago
PLEASE HELP! WILL MARK BRAINLIEST!
julsineya [31]
First of all, you would use the FOIL method for -5(a + 3). This means to just multiply -5 to all of the values in the parenthesis. This would equal:

-5a -15 = -55

Then after, you would add 15 for both sides and get -5a = -40

Divide by -5 on both sides, you get a = 8.

Here is a visual representation: https://puu.sh/zPxLC/a16740d0ce.png

7 0
3 years ago
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What are the equivalent ratios of 5/8
Jobisdone [24]

Answer:

60/96

Step-by-step explanation:

4 0
3 years ago
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