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sesenic [268]
2 years ago
8

Find the equation that results from completing the square in the following equation. x^2−20x+75=0

Mathematics
1 answer:
Ymorist [56]2 years ago
8 0

The equation that results from completing the square in the following equation. x^2−20x+75=0 is (x+2)^2 = 10

<h3>What is completing the squares method for solving the quadratic equations in one variable?</h3>

The method "completing the squares", as per the name suggests, try to make the quadratic equation of the form such that the x variable is totally covered in single squared term, as the square of a linear expression in x.

GIven;

x^2−20x+75=0

Subtract 75 from each side

x^2−20x+75 - 75 = -75

Take the coefficient of x

20

Divide by 2

10

Square it

100

Add it to each side

x^2 +5x + 100 = -75 + 100

(x+2)^2 = 10

Take the square root of each side

x+2 = 10

x = 8

Learn more about this concept here;

brainly.com/question/23364759

#SPJ1

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Find the value of h(-67) for the function below.
Lelu [443]

Answer:

D. 3,158

Step-by-step explanation:

h(-67) means to plug the x in h(x)=-49x-125 into the function as -67

The function will then be:

h(-67)=-49(-67)-125

Multiply -49 and -67

h(-67)=3283-125

subtract

h(-67)=3158

so the answer is D

Hope this helps!  

4 0
3 years ago
Which integer is the smallest -6, 0, 3,6 -3,4 -4
Lina20 [59]

Answer:

-6

I hope this helps!

3 0
3 years ago
How do I put this in slope intercept form from the line in the graph? #4
vichka [17]
You're given the y-intercept, which is (0,5), so to complete the slope intercept form, you now need to find the slope. slope is the change in y over the change in x, so take points (4,-1) and (2,2) for instance and apply the formula; -1-2= -3 and 4-2=2, so the change in y is -3 and the change in x is 2. to find the slope, you divide change in y by change in x, which is -3/2. from here, you can gather that the slope intercept form is y= -3/2x + 5
5 0
3 years ago
Simplify the expression: (a/b)^k
PilotLPTM [1.2K]

Answer:

A^k/b^k

Step-by-step explanation:

A/b^k=a^k/b^k

3 0
3 years ago
Can she get some help
Artemon [7]

Answer:

-55

Step-by-step explanation:

the sqeuence seems to be subtracting by 2 everytime.

so it will be -1,-3,-5,-7,-9,-11,-13,-15,-17,-19,-21,-23,-25,-27,-29..

the answer will be 27*-2(-54) -1(because we start at -1 , not 0)

5 0
3 years ago
Read 2 more answers
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