Which of the following variable expressions would represent the area of a rectangle if its length was represented by x+5 and its width was represented by x-2?

x[tex]x^{2} +3x+10\\
x^{2} +3x-10\\
x^{2} -10x+3\\
x^{2} -10[/tex]

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Remember that the area of a rectangle is given by the formula [tex]A=lw[/tex].

We know that the length is [tex](x+5)[/tex] and the width is [tex](x-2)[/tex]. Therefore, the area will be:

[tex]A=(x+5)(x-2)[/tex]

Expand. Use the Distribute Property. This yields:

[tex]A=(x+5)(x)+(x+5)(-2)[/tex]

Multiply:

[tex]A=(x^2+5x)+(-2x-10)[/tex]

Combine Like Terms:

[tex]A=x^2+(5x-2x)-10\\A=x^2+3x-10[/tex]

Therefore, our answer is B.


Related Questions

5(r + 3) = 3r + 35.
What is the answer and please show how you got it

Answers

Answer:

r =10

Step-by-step explanation:

5(r + 3) = 3r + 35.

Distribute

5r+15 = 3r+35

Subtract 3r from each side

5r+15-3r = 3r+35-3r

Combine like terms

2r +15 = 35

Subtract 15 from each side

2r+15-15 =35-15

2r = 20

Divide by 2

2r/2 =20/2

r =10

5(r + 3) = 3r + 35
Remove parentheses
5r + 15 = 3r + 35
Move the terms
5r - 3r = 35 - 15
Collect like terms
2r = 20
Divide both sides
R = 10

Represent the situation below as an integer.
Diego owes his father $25.

Answers

Answer

-25$

Step-by-step explanation:

2.3r-y+6=21
Find r when y=7
Find y when r=4.23

Answers

Step-by-step explanation:

2.3r - 7 + 6 = 21

2.3r - 1 = 21

2.3r = 22

r = 22/2.3

r = 9.6

2.3(4.23) - y + 6 = 21

9.73 - y + 6 = 21

15.73 - y = 21

-y = 5.27

y = -5.27

Find the equation, function and describe. (100 points)

X
1
2
3
4
5
6
7

Y
5
2.5
1.6667
1.25
1
.83333
.71429

Answers

Answer:

257890 is the function of the equation

Step-by-step explanation:

mark me BRAINLIEST

name 3 lines that are not perpendicular to y=2x-3

Answers

y=−1/2x+6 y
−2x=3
need to find a perpendicular line to this line that passes through the point (2,5) y=−1/2x+6
Added the 5
from the left side.

Is this correct? My answer was 61.5

Answers

Answer:

yes 61.5 is correct

Step-by-step explanation:

find the product :
(127)(-65)

Answers

Answer:

-8255

Step-by-step explanation:

Which pairs of matrices are inverses?

Answers

Answer:

B is the answer

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Simplify the equation

Answers

I believe it is 9/12x + 12

Based on the regression output, which of the following is the predicted time, in minutes, that it took to gather the items if the order has 22 items?

Answers

Answer:

The predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

Step-by-step explanation:

Regression Output :

Predictor                            Coefficient

Constant                             3.0979

Square root of items          2.7633

R.sq.- 96.7%

So, with this data the regression equation is,

[tex]\hat{y}=3.0979+2.7633x[/tex]

Now we are supposed to find the predicted time, in minutes, that it took to gather the items if the order has 22 items

Substitute x =22 in equation

[tex]\hat{y}=3.0979+2.7633(22)[/tex]

[tex]\hat{y}=63.8905[/tex]

Hence the predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

Answer:

this doesnt even relate to the answer. blasphomy.

Step-by-step explanation:

show your work
10n = 40

Answers

Answer:

4

Step-by-step explanation:

10n=40

10n/10=40/10

n=4

n = 40/10
n = 4

Then, We know,

10n = 40
10 * 4 = 40
40 = 40 (True)

A cube-shaped box has a volume of 64 cubic inches. If the box is packed full of cubes with edge lengths of 1 inch, how many cubes can fit along one side of the box?

Answers

Answer:

B)

-cube root of 64 to find the length of the cube shaped box

-length of cube shaped box is 4 inches

-So 4 divided by 1 to find how many cubes can fit

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The radius of a semicircle is 2 centimeters what is the semicircular diameter

Answers

I’m not sure if a semicircle would be the same as a normal circle but D=2R so 4

The vet said Lucy's cat Mitten weighs 8 2/6 pounds. This is 1 5/6 pounds more than Mittens weighed last year. How much did Mitten weigh last year?​

Answers

She weighed 7 1/4 I think

Answer:She weighed 7 1/4

Step-by-step explanation: just took the test

What is the image of the point (-2,4) after a rotation of 270° counterclockwise about the origin?

Answers

Answer:

(4, 2) the formula for 270 rotation counterclockwise is (y,-x)

Step-by-step explanation:

Here is a polygon Draw a scaled copy of the polygon using a scale factor of

Answers

Uhh what’s the question

Grade Math
Do Not Reproc
26. What is the solution to the equation 3(4x – 11) + 15 = -6(-x + 7)?
А
X=-30
B
x= -10
C X=-4
D
x= -1

Answers

The answer is C. X=-4

Which one is the answer ?? Plzz

Answers

Answer:

answer is c

Step-by-step explanation:

you have to find x first and try any of the equation if you get y and it is the same of the graph and thats the answer

7.18 x 10^3 is more than, the same as, less than 3610

Answers

Answer:

Greater than because the answer would be 7,180

Step-by-step explanation:

The answer is “more than” if you solve this problem it is 7180!

sara can ride her bicycle 3 miles in 12 minutes. at this rate how many miles can she ride her bicycle in 60 minutes?
a. 5
b. 10
c. 15
d. 20

Answers

Answer:

A. 5

Explanation:

12 times 5 is 60

Solve: 3y+5=-1 . What’s the solution?

Answers

Answer:

hmmm

Step-by-step explanation:

The answer is y=-2 hope this helps

A right rectangular prism is shown.​
To the nearest thousandth of an inch, what is the length of the diagonal, dd?

Answers

Answer:

15.56 in.

Step-by-step explanation:

i'm pretty sure i did it right, but im not sure. i haven't done geometry in like over 2 years.

find the hypotenuse of the triangle with 7 in. and 12 in. as your legs with the Pythgorean theorem (a^2 + b^2 = c^2, c equals the hypotenuse)

use that number you just got (I got [tex]\sqrt{193}[/tex]) and use it as one leg, and 7 in. as the other leg, with d as your hypotenuse

use the Phythagorean theorem again to find d, andddd... you've got your answer!

    Length of diagonal 'd' of the right rectangular prism given in the picture will be 14.765 inches.

Pythagoras theorem:     Pythagoras theorem is applicable in a right triangle.     Pythagoras theorem is given by the expression,

             (Hypotenuse)² = (Leg 1)² + (Leg 2)²

By applying Pythagoras theorem in right tringle ΔCBE,

(CE)² = (BC)² + (BE)²

(CE)² = 5² + 12²

CE = √169 = 13 inches

Similarly, apply Pythagoras theorem in right triangle ΔDCE,

(DE)² = (CD)² + (CE)²

d² = 7² + (13)²

d² = 49 + 169

d = √218

d = 14.7648

d ≈ 14.765 inches

             Hence, measure of diagonal 'd' will be 14.765 inches.

Learn more about the Pythagoras theorem here,

https://brainly.com/question/12306722?referrer=searchResults

x-intercept=3, y-intercept=-4 put into slope intercept form

Answers

y = mx + c

y intercept= (0,-4) , x intercept = (3,0)

m = (y2-y1)/(x2-x1)

m = (0-(-4))/(3-0)

m = 4/3

0 = (4/3)(3)+ c

c = -4

Thus, the equation is y = 4/3 x -4

Hope it helps :)

Mark it as Brainliest answer pls :)

Solve for x.
-3x = 15
X= -5
X= 5
X= 45

Answers

the answer would be positive 5 i believe

8) Two lines intersect as shown.
(2x + 20)
60°
What is the value of x?
A 20
B 40
C 50
D60

Answers

Answer:

  A.  20

Step-by-step explanation:

Vertical angles are congruent, so ...

  2x +20 = 60

  x +10 = 30 . . . . . divide by 2

  x = 20 . . . . . . . . .subtract 10

what are the two characteristics we look for when trying to solve a quadratic equation?


A. A positive coefficient for x^2 & the equation set equal to 0


B. Factor and cancel


C. Distribute like terms


D. There is no such thing as a quadratic equation

Answers

Answer:

Answer A makes the most sense by far.  

Step-by-step explanation:

Answer A makes the most sense by far.   However, strictly speaking, the coefficient of x^2 does not have to be positive if we're using the quadratic formula.  Using some other approach, such as factoring, obtaining a positive coefficient for x^2 is helpful.

I NEED HELP OR I FAIL PLEASE HELP ME!!!!

Answers

Answer:

The answer is A, ST and WX

Step-by-step explanation:

The answer is A because ST and WX are the same size and shape, just mirrored.

16x2 - 8x + 1 is an example of a ______​

Answers

Answer:

the answer would be an equation

2. Write a quadratic equation with roots (-2,0) and (4,0) that has a minimum value
of -36

Answers

Answer:

f(x) = 4*(x+2)*(x-4) factorized formula

f(x) = 4x^2 - 8x - 32 polynomical formula

Step-by-step explanation:

Lets assume the factorized formula of a quadratic function:

f(x) = a*(x-x1)^2 * (x-x2)^2

where "a" is a coefficient and x1, x2 are the roots of the function. Then replacing the given roots:

f(x) = a*(x+2)*(x-4)

because its told us that -36 is the minimum value of the function we can say that its concave, then this value is actually the component in the Y axis of the vertex. To find the component in the X axis of the vertex we have to make the adding between the roots and divide this value by 2, this last is because a quadratic function is a symetrical function. Lets call the component at the X axis of the vertex as Xv, then:

Xv=(x1+x2)/2

Xv=(-2+4)/2

Xv=1

Therefore now we have a point of the function and its P=(1,-36) this point is the vertex of the function too.

Now the last thing to do is to find the value of the coefficient "a". We can find it by replacing the point of the vertex obtained before.

-36 = a*(1+2)*(1-4)

-36 = a*(3)*(-3)

-36 = a*(-9)

4 = a

Finally the equation is:

f(x) = 4*(x+2)*(x-4)

if we expand this function we find the polynomical form of this function

f(x) = 4x^2 - 8x - 32

2 po
2) At the sixth-grade school dance, there are 132 boys, 89 girls, and 14
adults. Write the ratio of the number of girls to the TOTAL number of
people at the dance. *
NO SPACES and use a colon:

Answers

Answer:

Step-by-step explanation:

Girls:Total number of people

89:235

89:47

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