1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zysi [14]
3 years ago
7

Expand and simplify (x+5)(x-2)

Mathematics
1 answer:
salantis [7]3 years ago
8 0

Answer:

{x}^{2} - x - 12 = (x + 3)(x - 4)

{x}^{2} + 3x + 2 = (x + 2)(x + 1)

{x}^{2} + 3x - 10 = (x + 5)(x - 2)

Step-by-step explanation:

F [First terms] - Multiply the first terms in each set of parentheses FARTHEST TO THE LEFT

O [Outside terms] - Multiply the first term in the first set of parentheses FARTHEST TO THE LEFT by the last term in the second set of parentheses FARTHEST TO THE RIGHT

I [Inside terms] - Multiply the last term in the first set of parentheses FARTHEST TO THE RIGHT by the first term in the second set of parentheses FARTHEST TO THE LEFT

L [Last terms] - Multiply the last terms in each set of parentheses FARTHEST TO THE RIGHT

{x}^{2} - x - 12 = {x}^{2} - 4x + 3x - 12

{x}^{2} + 3x + 2 = {x}^{2} + x + 2x + 2

{x}^{2} + 3x - 10 = {x}^{2} - 2x + 5x - 10

I am joyous to assist you anytime.

You might be interested in
I'm confused about how to find x.
NikAS [45]
Hi! so you would find x by adding the corners up to 180 degrees.

steps:
Add the corners
90+(2x+1)+(5x+5)
7x+96=180
then subtract 96 from 180
you’d get 7x = 84
then divide 7 on both sides and get x=12
7 0
3 years ago
A hockey player knows that the two goal posts of a hockey net are 1.83 meters apart. The player tries to score a goal by shootin
Luden [163]

The distance the player is from the right post is = 5.1 meters

<h3>Calculation of distance using Pythagorean theorem</h3>

The Pythagorean theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

Formula for the Pythagorean theorem =

a²= b²+c²

From the diagram given,

The hypotenuse (a) = x²

b= 1.82²

c = 4.8²

x² = 1.82² + 4.8²

x²= 3.3124 + 23.04

x²= 26.3524

a= √26.3524

a= 5.1 meters.

Learn more about distance here:

brainly.com/question/2854969

#SPJ1

3 0
2 years ago
How many square feet of outdoor carpet will we need for this hole?
Mamont248 [21]

Answer:

The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²

Step-by-step explanation:

The picture below is what you are referring to .

The whole area of the shape forms a rectangle. A triangle and a  rectangle has been cut off from the whole carpet rectangle. The square ft or area of the carpet is the subtraction of the area of the rectangle and triangle cut off from the whole area of the rectangle .

Area of the rectangle = Lb

where

L = 12 ft

b =  5 ft

area = 12 × 5  = 60 ft²

The cut off triangle area

area = 1/2 × base × height

area = 1/2 × 4 × 3

area = 12/2 = 6 ft²

The cut off rectangle area

area = Lb

area = 3 × 2

area = 6 ft²

The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²

7 0
3 years ago
Evaluate f(x)3x + 8 for x = 1.<br><br> A. -11<br> B. 5<br> C. 11<br> D. 3
mariarad [96]

Answer:11

Step-by-step explanation:

f(x)=3x+8

f(1)=3(1)+8

f(1)=3+8

f(1)=11

5 0
3 years ago
There are 9 students in a service club. The club is making gift baskets for children in a hospital. Each club member donated 4 c
VladimirAG [237]

Answer:

Step-by-step explanation:

Let x represent the number of toys that each club member donated.

There are 9 students in a service club.

If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be

9 × 4 = 36

If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be

9 × x = 9x

A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be

9x + 36 = 63

4 0
3 years ago
Other questions:
  • Prove: The opposite sides of a parallelogram are equal.
    9·1 answer
  • If y varies directly as x and y = 21 when x = 5, find x when y = 42.
    5·1 answer
  • Look at the figure which step should be taken next to construct a line parallel to AB
    10·2 answers
  • What is the value of x enter your answer you answer in the box
    6·1 answer
  • ALL OF A SUDDEN EVERYONE IS CLUELESS IN GEOMATRY?!?! COME ON!!! I LITERALLY HAVE 12 MINUTES LEFT! HELP ME PLEASE! I AM STRESSED
    13·1 answer
  • Select the correct answer
    10·1 answer
  • Help me please?/+854​
    12·1 answer
  • June uses 12eggs to make cupcakes she used 4 eggs for each batch of cupcake which expression can be used to find the number of b
    6·2 answers
  • Estimate how many times larger 6.1×10^7 is than 2.1×10^−4. PLEASE WILL GIVE BRAINLIEST!!!!!! cmon plsssss
    7·1 answer
  • Can someone help me with this question its overdue
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!