A rectangle has a height of a^2+3 and a width of a^2 +2a+5

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answers

Answer 1

Answer:

Area = a^4 + 10 a^2 + 6 a + 15

Step-by-step explanation:

Height: a^2+3

Width: a^2 +2a+5

Area of the entire rectangle = Height x Width

So we have to multiply both expressions and apply distributive property:

Area = (a^2 + 3) x (a^2 + 2a + 5)

Area = a^2 x (a^2 + 2a + 5) + 3 x (a^2 +2a + 5)

Area = a^4 + 2a^2 + 5a^2   + 3a^2 + 6a + 15

grouping terms of same power of a:

Area = a^4 + (2+5+3)a^2 + 6a + 15

Area = a^4 + 10 a^2 + 6 a + 15


Related Questions

You can buy 5 pounds of grapes for $9.95. What is the cost c if you buy 4 pounds of grapes?

Answers

Answer:

$7.96

Step-by-step explanation:

The equation 9.95/5=x would give you the price of one pound of grapes.

So, now that you have x, you would find out how much it costs if you bought 4 pounds.

4*x=7.96

(x = 1.99)

here give him brainliest

The sum of three consecutive even numbers is 558. What is the 1st number

Answers

Answer:

The first number is 184

Step-by-step explanation:

Hope this helps u!! :D

Please help! the photo is below

Answers

Answer:

3 x 3 x 3 x 3 x 3

3x3x3x3x3

=243

UwU your welcome

Plz HeLp MeEeEeEe...............

Answers

Answer:

14.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mean is 3.5

Write the simplest polynomial function for each set of zeros

Zeros = -2, 5, -1

Answers

Answer:

the answer should be y = x^3 - 2x^2  - 13x - 10

Step-by-step explanation:

x = -2 5 -1

x + 2 = 0

x - 5 = 0

x + 1 = 0

f(x) = (x + 2) (x + 1)

x(x) + 2(x) + x(1) + 2(1)

x^2 + 2x + x + 2

x^2 + 3x + 2

f(x) = (x^2 + 3x + 2) ( x - 5)

x^2(x) + 3x(x) + 2(x) + x^2(- 5) + 3x(- 5) + 2(- 5)

x^3 + 3x^2 + 2x - 5x^2 - 15x - 10

x^3 - 2x^2 - 13x - 10

f(x) = x^3 - 2x^2 - 13x - 10

Step-by-step explanation:

this is your answered give me point

1/5 x 3/4 in simplest form

Answers

we need to multiply : 1/5*3/4 multiply 1 by 3 on the tops so we have 3/5*4 5*4=3/20

The [tex]\frac{1}{5} \times \frac{3}{4}[/tex] in simplest form is [tex]\frac{3}{20}[/tex].

Given that,

The one fraction is [tex]\frac{1}{5}[/tex].And, the other fraction is [tex]\frac{3}{4}[/tex].We need to multiply both the fractions and then write in the simplest form.

Based on the above information, the calculation is as follows:

[tex]= \frac{1}{5} \times \frac{3}{4}\\\\= \frac{3}{20}[/tex]

Therefore we can conclude that the [tex]\frac{1}{5} \times \frac{3}{4}[/tex] in simplest form is [tex]\frac{3}{20}[/tex].

Learn more: brainly.com/question/6201432

please help due in 3 min

Answers

Answer:

(h*h)(10) is the same as h(10)*h(10). Let's find the value of h(10) first. To do this, replace every x with 10 like so

Step-by-step explanation:

h(x) = 6-x

h(10) = 6-10

h(10) = -4

So,

h(10)*h(10) = (-4)*(-4)

h(10)*h(10) = 16

The final answer is 16

Answer:

h≤6 that should be the answer

In a triangle ABC, AC=24 cm, BC=30 cm, and m∠C=40°. Determine the area of the triangle. Round to nearest square centimeter.

Answers

Answer:

The area of the triangle is 231 cm² to the nearest square centimeter

Step-by-step explanation:

We can find the area of a triangle has the lengths of two sides and the measure of the included angle by using the trigonometry

A = [tex]\frac{1}{2}[/tex] × s1 × s2 × sinФ, where

s1 and s2 are the two sides of the triangleФ is the angle included between s1 and s2

In ΔABC

∵ AC = 24 cm

s1 = 24

∵ BC = 30 cm

s2 = 30

∵ m∠C = 40°

Ф = 40°

→ By using the rule of the area above

∵ A = [tex]\frac{1}{2}[/tex] × 24 × 30 × sin(40°)

∴ A = 231.4035395 cm²

→ Round it to the nearest square centimeter

A = 231 cm²

The area of the triangle is 231 cm² to the nearest square centimeter

Jailene is mixing marshmallows and
Rice Krispies to make Rice Krispy
treats. The number of cups of
marshmallows, m, needed for r
cups of Rice Krispy r is described by
the equation r= 1.5m.
How many cups of marshmallows
are needed to mix with 3 cups of
Rice Krispies?

Answers

Answer:

m = 2

Step-by-step explanation:

The number of cups of  marshmallows, m, needed for r  cups of Rice Krispy r is described by  the equation :

r= 1.5m ...(1)

We need to find the no. of marshmallows  are needed to mix with 3 cups of  Rice Krispies.

Pu r = 3 in equatin (1) :

[tex]m=\dfrac{r}{1.5}\\\\m=\dfrac{3}{1.5}\\\\m=2[/tex]

So, there are 2 cups of marshmallows .

Mark earned $13.50 mowing lawns on Saturday. On Sunday, he spent $6.95 when he purchased a movie ticket. He needed to borrow money from a friend to complete his purchase of a snack. How much money did Mark pay for the snack if he owes his friend $5?

Answers

Answer:

$11.55

Step-by-step explanation:

He spent 6.95 of the 13.5 which means he has 6.55 left. He then borrows 5 more dollars to buy snacks, so 6.55+5=11.55.

Answer:

$11.55

Step-by-step explanation:

hope this helped

Write y – 3 = 23 (x – 2) in standard form. PLEASE HELP BEST ANSWER AND EXPLANATION WILL GET BRAINLIEST!!

Answers

Answer:

Y=23x-43

Step-by-step explanation:

Distribute 23 to (x) and (-2) = 23x-46

The bring the -3 the other side

Y=23x-43

What is additive inverse for 23 ?

Answers

Answer:23

Step-by-step explanation:

:)

Additive inverse of 23 will be -23

Its the opposite which is negative on the number line

The air temperature is −12 °C at sunrise and rises 3 °C every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x − 12. Find the intercepts

Answers

Answer:

4 and -12

Step-by-step explanation:

The standard form of writing the linear equation of a line is expressed as;

f(x) = mx + c where;

m is the slope

c is the intercept

Given the function  f(x) = 3x − 12

x intercept occurs at f(x) = 0

0 = 3x - 12

3x = 12

x = 12/3

x = 4

Hence the x intercept is 4

y intercept occurs at x = 0

f(x) = 3(0) - 12

f(x) = -12

Hence the y intercept is at -12

Which expression is equal to 567.083?
A
(5×100)+(6×10)+(7×1)+(8×100)+(3×1000)
B
(5×100)+(6×10)+(7×1)+(8×110)+(3×1100)
C
(5×100)+(6×10)+(7×1)+(8×1100)+(3×11000)
D
(5×100,000)+(6×10,000)+(7×1000)+(8×10)+(3×1)

Answers

Answer:

the answer is D

Step-by-step explanation:

u just have to add them all up

Use the slope formula. What is the slope of a line that passes through the points (3. 12) and (4. 16)? Type the
number

Answers

Answer:

The slope is 4.

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=16-12/4-3

m=4/1

m=4

Answer:

I think its m = 1/4

Step-by-step explanation:

subtract 4 from 3 and 16 from 12 and you will get the answer

ahhhhhhhhhhhh I dont know this ​

Answers

Answer:

what does it say.........................

Answer:

They can make 10 smoothies

Step-by-step explanation:

15/3cups= 5

5x2=10

so 10 smoothies

Tristan takes 7 quizzes each week. After attending 5 weeks of school this quarter, how
many quizzes will Tristan have taken in total?

Answers

Answer:

35 quizzes

Step-by-step explanation:

7 quizzes for each week of school means that the equation will be

7×5

(7, five times)

7×5= 35

therefore, 35 quizzes done in the quarter

Please I need ASAP. First one to answer will get Brainyist.

Answers

Answer:

I'm just here for my points sorry bro

Answer:

1, 2, 3, 4, 2

Calculate the product using partial products.

38.4 x 200

Correct answers only please!

Answers

7,680
To my knowledge, but if someone else answers, maybe trust them

solve asap please help

Answers

Answer:

345

Step-by-step explanation:

The multiplying factor is 100% + 7% = 107% = 1.07

The number of bacteria after 5 months is

246 × [tex](1.07)^{5}[/tex]

≈ 345 ( to the nearest whole number )

Answer:

345 and brainliest pls

Step-by-step explanation:

Are the triangles congruent? and why?
SAS
SSS
AAS
ASA
HL
NOT CONGRUENT

Answers

Answer: NOT CONGRUENT

Step-by-step explanation:

Answer:

They are congruent because of ASA.

Step-by-step explanation:

Since these points are at the same rate, we can safely assume that it is congruent based on these given statements below.  It is also ASA because angle B and angle C are mentioned in the given statements and there is a side explanation which is BC and EF which makes them angle-side-angle.

Need Help please stuck on this one.

Answers

Answer:

option D

Step-by-step explanation:

According to Pascal's triangle

1

1 1

1 2 1

1 3 3 1

it is clear the second term will have an integer coefficient of 3

Therefore 3(x)²(-1)¹

3x²(-1)=-3x²

*BRAINIEST & 25 POINTS*

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

thank u so much dost pls give me extra free point Pls mark as a brilliant pls dost

PLEASE HELP ME ASAP
Jeff is 6 years older than Sam. In 4 years, he will be twice as old as Sam was 5 years ago. Find their ages now. I need both equations too. I know one is y+6=x but idk the other one.... thx
Plz dont just take the points.... i mean you can but uhhh idk why steal points on a homework site.... thats kinda lame... anyways thx to whoever helps me!!!! <3333

Answers

Answer:

7 years

Step-by-step explanation:

if the area of a circle is 98​

Answers

Answer:

[tex]7 \sqrt{2} [/tex]

Step-by-step explanation:

given : area =98π

we know area of a circle = π r^2

hence

πr^2=98π { cancelling both π }

r^2=98

[tex]r = \sqrt{98} [/tex]

[tex]r = 7 \sqrt{2} [/tex]

hope it helps

When Mr. Davidson preheated his oven, the oven's temperature rose 3 degrees in 1 6 of a minute. At that rate, how much will the oven heat up in 1 minute?

Answers

Answer:

18 degrees

Step-by-step explanation:

When Mr. Davidson preheated his oven, the oven's temperature rose 3 degrees in 1/ 6 of a minute. At that rate, how much will the oven heat up in 1 minute?

Solving the above question

1/6 minute = 3 degrees

1 minute = x

Cross y

1/6x = 3 × 1

x = 3 ÷ 1/6

x = 3 × 6

x = 18 degrees

The oven will heat up 18 degrees in 1 minute

I need help getting the reasons and statements

Answers

Given:

[tex]\overline{HG}||\overline{JI},\overline{GI}\cong \overline{IK}[/tex] and [tex]\angle HIG\cong \angle JKI[/tex]

To prove:

[tex]\angle H\cong \angle J[/tex]

Solution:

In [tex]\Delta GHI[/tex] and [tex]\Delta IJK[/tex],

Statements                                               Reasons

[tex]\overline{HG}||\overline{JI},\overline{GK}[/tex] is transversal.                       (Given)

[tex]\angle HGI\cong \angle JIK[/tex]                                          (Corresponding angles)

[tex]\overline{GI}\cong \overline{IK}[/tex]                                                     (Given)

[tex]\angle HIG\cong \angle JKI[/tex]                                          (Given)

Two angles and their included side are congruent in both triangles. So,

[tex]\Delta GHI\cong \Delta IJK[/tex]                                         (ASA postulate)

[tex]\angle H\cong \angle J[/tex]                                                    (CPCTC)

Hence proved.

The monthly gross receipts for the ABC Copy Creation house amounted to $20,834.34. Unfortunately the expenses amounted to $18,750.91, but this did give the owner of the company some profit. What was the profit for the month?

Answers

Answer:

the Profit for the month is $2,083.43

Step-by-step explanation:

The computation of the profit for the month is shown below:

Profit for the month is

= Monthly gross receipts - expenses

= $20,834.34 - $18,750.91

= $2,083.43

hence, the Profit for the month is $2,083.43

We simply applied the above formula so that the correct value could come

And, the same is to be considered

PLEAAE HELPPPPPPPP I NEED ITTTT PLEASEEE

Answers

Answer:

4. c + b/a

Step-by-step explanation:

ax - b = c (Given)

ax = c + b (Add b on both sides)

x = c + b/a = (Divide a on both sides)

find the missing side length​

Answers

this is the answer!square root 109
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