A quadratic equation is shown:x2 - 14x + 41 = 0
Which of the following is the first correct step to write the above equation in the form (x - p)2 = 9, where p and q are integers?
x2 - 14x + 41 + 8 = 0 + 8
x2 - 14x + 41 + 9 = 0 + 9
x2 - 14x + 41 - 8 = 0 - 8
x2 – 14x + 41 - 9 = 0 - 9

Answers

Answer 1
Answer:

Answer:

The correct answer is the first option

Step-by-step explanation:

Quadratic Equation

The standard form of a quadratic equation is

ax^2+bx+c=0

Sometimes we need to change the expression of the same equation to the form

(x-p)^2=q

To accomplish that change, we usually modify the left-hand expression to make it look like the square of a binomial.

The given quadratic equation is

x^2-14x+41=0

Recall the square of a binomial is

(x-p)^2=x^2-2px+p^2

The first term is already present. The second term gives us the value of p:

-2px=-14x

Solving

p=7

Now we need to produce the third term p^2=49. We only have 41, thus we need to add 8 to both sides of the equation:

x^2-14x+41+8=0+8

The correct answer is the first option


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7X minus one equals 6X -1 fin th value of x

Answers

Given the x or y value of a 2-variable equation solution, find the value for the other variable in the solution. Practice solving one-variable equations like 20 - 7x

Simplify: 3a + 5a PLS ANSWER ILL GIVE BRAINLIEST

Answers

Answer:

the answer is 8a

Step-by-step explanation:

becuase the numbers are simply being added, you can just add 3+5.

for example, say a=3

3(a)+5(a)=3(3)+5(3)

9+15=24

but 3+5(a)=8(a)

8(3)=24

Answer:

8a2

Step-by-step explanation:

In this 45-46-90 triangle , I have been given the length of a leg . How do I find the length of the hypotenuse

Answers

Answer:

nothing actually Iteursitskysjtskydjtsitsitsitskgditdkgd elhsitdlhclufluclydlhcogogjdy

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Sum of the interior angles of any triangle equal 180° .

Thus ;

The angle which facing to the side 4 is 45°.

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Hint:

In a right triangle, the side facing the 45° angle is √2 / 2 times the hypothenuse .

Thus ;

( √(2) )/(2) x = 4 \n

Multiply sides by 2

2 *  ( √(2) )/(2) x = 2 * 4 \n

√(2) x = 8 \n

Divide sides by 2

( √(2)x )/( √(2) )  =  (8)/( √(2) )  \n

x =  (4 * 2)/( √(2) )  \n

x =  (4 *  √(2) *  √(2)  )/( √(2) )  \n

x = 4 √(2)  \n

x = hypothenuse = 4 √(2)

Done...

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Find an equation for the line parallel to 3x-5y=2 with​ y-intercept (0,1/5). Write the answer in ​ slope-intercept form.

Answers

y= 3x/5 - 2/5 .i think

Could someone help me out with this.

Answers

Answer:

45 units

Step-by-step explanation:

Since both figures are similar, the ratio of their similar sides will be equal to a constant. Hence;

8/10 = 12/EH

8EH = 12 * 10

8EH = 120

EH = 120/8

EH = 15

Perimeter of EFGH = 15 + 10 + 5 + 15 = 45 units

6) Write an equation and solve: Twice a number, increased by 3 is 7.A) 2
B) 5
C)8
D) 20

Answers

Answer:

A)2

Step-by-step explanation:

2×x + 3=7

2x+3=7

2x=7-3

2x=4

divide both sides by the coefficient of x which is 2

2x=4

x=2