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Bond [772]
3 years ago
13

Find the measure of b

Mathematics
1 answer:
amid [387]3 years ago
3 0

Answer: 90°

Step-by-step explanation:

Angle b is vertical to the angle that has a measure of 90°

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If f(x) =4x^2 + 1 and g(x) =x2 -5, find (f+g)(x)
Lilit [14]

The value of (f+g)(x) is 5 x^{2}-4

Explanation:

Given that the functions f(x)=4 x^{2}+1 and g(x)=x^{2}-5

We need to determine the value of (f+g)(x)

The value of (f+g)(x) can be determined by substituting the value of f(x) and g(x) and simplifying the terms.

Thus, let us assign f(x)=4 x^{2}+1 in the function (f+g)(x), we have,

4 x^{2}+1+g(x)

Now, let us assign g(x)=x^{2}-5 in the function (f+g)(x), we get,

4 x^{2}+1+x^{2}-5

Grouping the like terms, we have,

4 x^{2}+x^{2}+1-5

Adding the like terms, we get,

5 x^{2}-4

Hence, the value of (f+g)(x) is 5 x^{2}-4

3 0
3 years ago
Four times the sum of a number and 6 is equal to 2
olga55 [171]

Answer:

5.5

Step-by-step explanation:

The equation that models this problem is

4(x+6)=2 ->

4x+24=2 ->

4x=-22

x=5.5

3 0
3 years ago
a rectangle has a perimeter of 22 feet. the width is 5 feet less than the length. find the length and width of the rectangle​
alexira [117]

Answer:

the length is 8ft

the width is 3ft

Step-by-step explanation:

Step one:

given

perimter= 22ft

let the length be x

width = x-5

Step two

the expression for the perimeter of a rectangle is

P=2L+2W

substituting our data

22= 2(x)+2(x-5)

open brackets

22=2x+2x-10

collect terms and solve for x

22+10=4x

32=4x

divide both sides by 4

x= 32/4

x= 8ft

the length is 8ft

the width = x-5= 8-5= 3ft

8 0
3 years ago
When 4x+8y = 24 and y=5, what's the value of x?
ankoles [38]

Answer:

x=10

hope that help!!!!

6 0
3 years ago
Why is the decimal in 125.6 there how did it get there?
irakobra [83]

Answer:

I’m not sure. If your joking or.

4 0
3 years ago
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