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meriva
4 years ago
8

Find the length of the missing side.

Mathematics
1 answer:
Amiraneli [1.4K]4 years ago
7 0
25m+20m is 45
so do 90-45 and you’ll get 45
to check your answer you can do 45+25+20 which gives you 90
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Solve this equation by completing the square: x2 + 4x – 13 = –8
marishachu [46]

Answer:

x = 1 or x = -5

Step-by-step explanation:

We are given;

  • The quadratic equation, x² + 4x - 13 = -8

We are required to solve the equation using the completing square method.

To do this, we use the following steps;

Step 1: We make sure the coefficient of x² is one

x² + 4x - 13 = -8

Step 2: Combine the like terms (take the constant term to the other side)

x² + 4x - 13 = -8

x² + 4x = -8 + 13

we get

x² + 4x  = 5

Step 3: We add the square of half the coefficient of x on both sides of the equation

Coefficient of x = 4

Half of coefficient of x = 2

Square of half the coefficient of x = 2² (4)

We get;

x² + 4x + (2²)  = 5 + (2²)

Step 4: Put x and 2 under one square and the solve the other side of the equation.

We get

(x + 2)² = 5 + 4

(x + 2)² = 9

Step 5: Get the square root on both sides of the equation;

(x + 2)² = 9

√(x + 2)² = ±√9

(x + 2)= ±3

Therefore;

x+2 = + 3 or x + 2 = -3

Thus, x = 1 or -5

The solution of the equation is x = 1 or x = -5

6 0
3 years ago
What is the range of f(x)= -3^x+4
V125BC [204]

Answer:

A. The set of all real numbers less than 4

Step-by-step explanation:

The range of the parent function y=3^x is y\in (0,\infty)

The graph of the function y=-3^x is reflected across the x-axis graph of the parent function, so the range of the function y=-3^x is (-\infty,0)

The graph of the function y=-3^x+4 is translated 4 units up graph of the function y=-3^x, so the range of the function y=-3^x+4 is (-\infty,4) or the set of all real numbers less than 4.

7 0
4 years ago
Plz help answer fast
Tems11 [23]

Answer:

You see x is just the multiplied side of the opposite one, and you know 180 is half of 360 (full degrees). X=10 divided by 9 which is more than one, and the answer that belongs in the box is 10 divided by 9 is 180x10 and thats your answer :)

3 0
2 years ago
HELP ME!!!
UkoKoshka [18]

Answer:

d

Step-by-step explanation:

4 0
4 years ago
What is the domain of the relation given below?<br><br> {(2,-5), (4,7), (0, 2), (9, -1)}
Natali5045456 [20]

Answer:

Domain: (2, 4, 0, 9)

Step-by-step explanation:

x-axis is domain: (2,4,0,9)

y-axis is range: (-5,7,2,-1)

5 0
3 years ago
Read 2 more answers
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