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2 years ago

Find the product of (x − 5)2. (1 point) Group of answer choices x2 + 10x + 25 x2 − 10x + 25 x2 − 25 x2 + 25

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

7 0

Answer:

$x^2 - 10x + 25$

Step-by-step explanation:

Hello!

Expand the square using the Distributive Property.

<h3>Expand</h3>

$(x - 5)^2$
$(x - 5)(x-5)$

Distributive x - 5 to each factor

$x(x - 5) -5 (x - 5)$
$x^2 - 5x - 5x+25$
$x^2 - 10x + 25$

The answer is $x^2 - 10x + 25$ .

We can also use a special binomial product formula.

Formula: $(a - b)^2 = a^2 - 2ab + b^2$

$(x - 5)^2 = x^2 - 2(x)(5) + 5^2$
$(x - 5)^2 = x^2 - 10x + 25$

We get the same answer both ways.

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How much is f(10) if f=x^2-2

dangina [55]

To find this value, simply substitute the number 10 in for x in your equation:

$f(x) = x^2 - 2$

$f(10) = 10^2 - 2 = \boxed{98}$

The answer is 98.

8 0

3 years ago

In a triangle, the sum of the measures of the first two angles is 12 less than the measure of the third angle. In addition, the

USPshnik [31]

The measure of the three angles are 56, 28 , 192 degree

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three vertices an three angles.

It is given to make system of equations

Let the measure of the first , second and third angle be x, y and z

the sum of the measures of the first two angles is 12 less than the measure of the third angle.

x +y = z -12 ----1

the measure of the first angle is twice as big as the measure of the second angle.

x = 2y

Now equation 1 will be

z - 3y = 12

x +y+z = 180

2y +y +z = 180

3y +z = 180 ----2

z - 3y = 12------3

On solving the system of equation 1, 2

2z = 192

z= 96 degree

3y = 180-96

y = 28

x = 56

Therefore the measure of the three angles area 56, 28 , 192 degree.

To know more about Triangle

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8 0

2 years ago

What is the solution of √x-5 = x-11

PIT_PIT [208]

Hey!

To solve x in this equation we must first add five to both sides to get $\sqrt{x}$ on its own.

<em>Original Equation :</em>
$\sqrt{x} - 5 = x - 11$

<em>New Equation {Added 5 to Both Sides} :</em>
$\sqrt{x} =x-6$

Now we must square both sides of the equation.

<em>Old Equation :</em>
$\sqrt{x} =x-6$

<em>New Equation {Changed by Squaring Both Sides} :</em>
$x= x^{2} -12x+36$

And now we must solve the new equation.

Step 1 - Switch sides
$x^{2} -12x+36=x$

Step 2 - Subtract x from both sides
$x^{2} -12x+36-x=x-x$

Step 3 - Simplify
$x^{2} -13x+36=0$

Now we need to solve the rest of the equation using the quadratic formula.

$\frac{-(-13)+ \sqrt{(-13) ^{2}-4*1*36 } }{2*1}$

${13+ \sqrt{(-13)^{2}-4*1*36 }=13+ \sqrt{25}$

$\frac{13+ \sqrt{25}}{2}$

$\sqrt{25}=5$

$\frac{13+5}{2}$

$\frac{18}{2}$

9

$\frac{-(-13)- \sqrt{(-13) ^{2} -4*1*36} }{2*1}$

4

<em>So, this means that in the equation $\sqrt{x} -5=x-11$ ,</em> x = 9 <em>and </em>x = 4.

Hope this helps!

- Lindsey Frazier ♥

4 0

3 years ago

in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is

puteri [66]

Answer:

Step-by-step explanation:

a=12 (height)

c=13 (hypotenous)

b=? (base)

By using Pythagoras theorm

We have, hypotenous sq=base sq+height sq

Let b =base SO, base sq=hypotenous Sq-height Sq

=>base Sq =13sq-12sq

Base Sq =169-144

Base Sq =25

Base =5 (shifting the sq)....

Hope it's helpful

5 0

3 years ago

I REALLY REALLY NEED HELP ON THIS I DON'T UNDERSTAND IT!!!!!!!!!!!!!!!!!

vodka [1.7K]

Answer:

Step-by-step explanation:

in order for it to be a triangle the angles have to add up to equal 180

5+75+100=180 so its not a

10+80+90=180 so its not b

20+60+100=180 so its not c

45+45+45=135 so its d because the angles dont add up to 180

50+50+80=180 so its not e

8 0

3 years ago

Read 2 more answers