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4 years ago

Enter the correct value so that each expression is a perfect-square trinomial. x2 – 10x +

Mathematics

1 answer:

Marrrta [24]4 years ago

6 0

Use the formula ( $\frac{b}{2}$ )^2

in order to create a new term to complete the square.

(x−5)2−25

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First try to solve the equation by factoring. If you are unable to solve the equation by factoring, solve the equation by using

tatuchka [14]

Answer:

-0.5 ,0.75

Step-by-step explanation:

$4 \times t^{2}=t+6
$

$\therefore 4 \times t^{2}-t-6 = 0$

$therefore t=\frac{1\mp\sqrt{1+24}}{8}$

[ $=\frac{1\mp\sqrt{25}}{8}$

= -0.5,0.75

3 0

3 years ago

consider the function f(x) = x2 2x – 15. what are the x-intercepts of the function? left-most x-intercept: ( , 0) right-most x-i

eimsori [14]

we have

$f(x)=x^{2} +2x-15$

we know that

The x-intercept is the value of x when the value of the function is equal to zero

in this problem

Find the roots of the function

equate the function to zero

$x^{2} +2x-15=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2} +2x=15$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2} +2x+1=15+1$

$x^{2} +2x+1=16$

Rewrite as perfect squares

$(x+1)^{2}=16$

Square root both sides

$(x+1)=(+/-)\sqrt{16}$

$(x+1)=(+/-)4$

$x=-1(+/-)4$

$x1=-1+4=3$

$x2=-1-4=-5$

$x^{2} +2x-15=(x-3)(x+5)$

therefore

<u>the answer is</u>

the x-intercepts are the points $(3,0)$ and $(-5,0)$

3 0

3 years ago

Read 2 more answers

The volume, V, of a right cone varies jointly with the square of the radius of the base, r, and the height, h. When r = 6 and h

Sveta_85 [38]

Answer:

V=πr^2(h/3)

Step-by-step explanation:

V=π6^2(8/3)

6 0

4 years ago

(-3, 8) and (6,6)<br> I can’t find the AWNSER to this question

Vadim26 [7]

Answer:

The slope is 3/4

Step-by-step explanation:

7 0

3 years ago

In a game, 3 people are chosen in the first round. Each of those people chooses 3 people in the second round and so on. How many

tatiyna

Answer:

729 people chosen

Step-by-step explanation:

4 calculations in head when 3^2 = 9

3 calculations in head when 3^3 = 27

2 calculations in head when 3^4 = 81

1 calculations in head when 3^5 = 243

Answer found 3^6 = 729.

3 = 1st = 3^1

9 = 2nd = 3^2 3(3)

27 = 3rd = 3^3 9(3)

81 = 4th = 3^4 27(3)

243 = 5th = 3^5 81(3)

729 = 6th = 3^6 243(3)

4 0

3 years ago