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3 years ago

Which of the following is the result of the equation below after completing the square and factoring? x^2-4x+2=10

Mathematics

1 answer:

Tamiku [17]3 years ago

6 0

9514 1404 393

Answer:

B. (x-2)^2=12

Step-by-step explanation:

The constant that completes the square is the square of half the coefficient of the x-term. That value is (-4/2)^2 = 4.

There is already a constant of 2 on the left side of the equal sign, so we need to add 2 to both sides to bring that constant value up to 4.

x^2 -4x +2 = 10 . . . . . . . given

x^2 -4x +2 +2 = 10 +2 . . . . complete the square (add 2 to both sides)

(x -2)^2 = 12 . . . . . . . . . write as a square

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Step-by-step explanation:

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3 years ago

Find the value of k so that the line through the given points has the given slope.

Kay [80]

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We have the points (1, k) and (-1, -4) and the slope m = 3/2. Substitute:

$\dfrac{-4-k}{-1-1}=\dfrac{3}{2}\\\\\dfrac{-4-k}{-2}=\dfrac{3}{2}\qquad\text{multiply both sides by (-2)}\\\\-4-k=-3\qquad\text{add 4 to both sides}\\\\-k=1\qquad\text{change the signs}\\\\\boxed{k=-1}$

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3 years ago

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3 years ago

Read 2 more answers

Amir buys a new car for £16470. The value of the car will depreciate by 2% each year. Work out how much amir's car will cost aft

Ronch [10]

Answer:

Amir's car will cost £10348.88 after 23 years.

Step-by-step explanation:

I finally found a UK human!

This is compound interest so you have to find a decimal multiplier and multiply that with £16470 to the power of 23.

The decimal multiplier would be 0.98. This is because you do 100% - 2% as depreciating basically means a decrease, which gives you 98% and then you divide that by 100 to get your decimal multiplier - 0.98.

16470 × $0.98^{23}$ = £10348.88

I hope that helps you!! ^-^

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3 years ago

C program to generate prime numbers from 1 to 100.Also count prime numbers.

Musya8 [376]

Answer:

Step-by-step explanation:

#include <stdio.h>

int main()

{

int num1, num2, flag_var, i, j;

/* Ask user to input the from/to range

* like 1 to 100, 10 to 1000 etc.

printf("Enter two range(input integer numbers only):");

//Store the range in variables using scanf

scanf("%d %d", &num1, &num2);

//Display prime numbers for input range

printf("Prime numbers from %d and %d are:\n", num1, num2);

for(i=num1+1; i<num2; ++i)

{

flag_var=0;

for(j=2; j<=i/2; ++j)

{

if(i%j==0)

{

flag_var=1;

break;

}

if(flag_var==0)

printf("%d\n",i);

}

return 0;

}

8 0

3 years ago

Which of the following is the result of the equation below after completing the square and factoring? x^2-4x+2=10￼

Which of the following is the result of the equation below after completing the square and factoring? x^2-4x+2=10