Danielle is making a quilt with triangles and squares. There are 4 colored triangles inside each square. The base and height of each triangle is x + 4 inches as shown. Which polynomial represents the area of the colored triangles in square inches?

Answers

Answer 1

Answer:

[tex](2x^2+16x+32)\ \text{sq. inches}[/tex]

Step-by-step explanation:

b = h = Base = Height of triangle = [tex](x+4)\ \text{inches}[/tex]

Area of one triangle

[tex]A=\dfrac{1}{2}bh=\dfrac{1}{2}(x+4)(x+4)[/tex]

There are 4 colored triangles so total area of the triangles is

[tex]4A=4\times \dfrac{1}{2}(x+4)(x+4)\\\Rightarrow 4A=2(x+4)^2\\\Rightarrow 4A=2(x^2+8x+16)\\\Rightarrow 4A=2x^2+16x+32[/tex]

The area of the colored triangles is [tex](2x^2+16x+32)\ \text{sq. inches}[/tex]

Danielle Is Making A Quilt With Triangles And Squares. There Are 4 Colored Triangles Inside Each Square.

Related Questions

Mia’s office recycled a total of 9 pounds of paper over 3 weeks. After 7 weeks, how many pounds of paper will mia’s office have recycled

Answers

Answer:

12

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

You find the unit rate of 9:3 and its 3 then multiply three by 7 and thats

21.

3х + 4 = 2х + 10
what is the answer? i’m struggling to work this out.

Answers

Answer:

x=3

Step-by-step explanation:

3x+4=2x+10

-3       -3

4= -1x+10

-10     -10

-6= -1x

divide by -1

x=6

Thats how you do it

Answer:

x=6

Step-by-step explanation:

first you have to subtract 4 from both sides

3x=2x+10-4

then simplify 2x+10-4 to 2x+6 so you will get

3x=2x+6

-2 -2

(^^you subtract 2x from both sides )

then you get your answer which is x=6

6. The graph of a linear function is shown on the coordinate grid.
101
(-4, 6)
x
20-9-8-7-
(1,-9)
What is the y-intercept of the graph of the linear function?

Answers

Answer:

From the graph, it is clear that:

at x=0, the value of y=-6

Therefore, the y-intercept of the graph of the linear function: (0, -6)

Step-by-step explanation:

We know that the y-intercept of the graph of the linear function can be determined by setting x=0 and solving for y

As the graph crosses the y-axis at x=0

From the graph, it is clear that:

at x=0, the value of y=-6

Therefore, the y-intercept of the graph of the linear function: (0, -6)

Answer:

From the graph, it is clear that:

at x=0, the value of y=-6

Therefore, the y-intercept of the graph of the linear function: (0, -6)

Step-by-step explanation:  

We know that the y-intercept of the graph of the linear function can be determined by setting x=0 and solving for y

As the graph crosses the y-axis at x=0

From the graph, it is clear that:

at x=0, the value of y=-6

Therefore, the y-intercept of the graph of the linear function: (0, -6)

2z-6=20..............

Answers

Answer:

[tex]\bf\pink{13}[/tex]

Step-by-step explanation:

Given :-[tex]\sf\blue{2z - 6 = 20}[/tex]

To Find :-Finding / solving to get the 'z' value

Solution :-

[tex]\Rightarrow \: \:\sf\purple{ 2z - 6 = 20}[/tex]

Move the constant to right hand side and change its sign

[tex]\Rightarrow \: \:\sf\green{ 2z = 20 + 6}[/tex]

Add the numbers

[tex]\Rightarrow \: \:\sf\purple{ 2z = 26}[/tex]

Calculate both side of equation by 2

[tex]\Rightarrow \: \:\sf\green{ 2z \div 2 = 20 \div 2}[/tex]

Any expression divided by itself equals to 1

[tex]\Rightarrow \: \:\sf\purple{z = 26 \div 2}[/tex]

Calculate the quotient

[tex]\Rightarrow \: \:\sf\pink{z =13}[/tex]

[tex]\bf\red{Hope \: it \: helps}[/tex]

The diagonals of this rhombus are 8 and 16 units long. Their intersection creates four right angles, two 4-unit-long segments, and two 8-unit long segments. Given this information, find the area of the rhombus in square units (Use only the digits 0 – 9 and the decimal point, if needed, to enter a number).

Answers

Answer:

[tex]64\ \text{sq. units}[/tex]

Step-by-step explanation:

Area of a rhombus is the product of the length of the diagonals divided by two.

Length of one diagonal is 8 units and the other diagonal is 16 units

Area is given by

[tex]A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}[/tex]

The area of the rhombus is [tex]64\ \text{sq. units}[/tex]

Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.

[tex]A=4\times \dfrac{1}{2}\times 4\times 8\\\Rightarrow A=64\ \text{sq. units}[/tex]

One number is 6 less than another number. Their sum is 50. What is the smaller number?

If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?


x + y = 50 and -x + y = 6
x + y = 50 and x - y = 6
x + y = 50 and x + y = 6
x - y = 50 and x + y = 6

Answers

Answer:

y = 2x - 6

Step-by-step explanation:

I am saving up to buy a PS5, which costs $499. I already have $240 saved up and I get another $30 every week. When will I be able to buy a PS5? Express your answer with a table, graph, and equation.

Answers

Answer:

So if you have 259 and you need 499 subtract and you get 259 is how much you need 259 divided by 30 is 8.63333333333 rounding up you will need to wait about 9 more  weeks

Step-by-step explanation:

Good luck and have fun!

solve the system of linear equations by graphing x=3 y=-1/2

Answers

Answer:

x=5 hope this helps

Step-by-step explanation:

1,682 inches rounded to the narest tenth is 1.6 inches? true or falce

Answers

Answer:

False

Step-by-step explanation:

False because that’s just what it is

Round 545 to the nearest hundred

Answers

Answer:

500

Step-by-step explanation:

Answer:

500

When rounding to the nearest hundred, like we did with 545  we use these rules

first you would have to round the number up to the nearest hundred if the last two digits in the number are 50 or above.

then you would have to   round the number down to the nearest hundred if the last two digits in the number are 49 or below.

lastly you would have to  see if  the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

1. It's a 3-digit whole number 2. It's divisible by 4 3. It's divisible by 5 4. It's divisible by 11 5. It's divisible by 3​

Answers

Answer: 660 is divisible by 2,4, 5, 11 and 3

find the slope of the line that passes through the two given points (-5,7)and (3,-1)​

Answers

Answer:

Slope=-1

Step-by-step explanation:

slope is   ΔY/ΔX

ΔX = 3 – -5 = 8

ΔY = -1 – 7 = -8

In parallelogram PQRS if m

Answers

Answer:

m∠RSP = 130°

Step-by-step explanation:

In parallelogram,opposite angles are equal.

m∠RSP = m∠PQR

m∠RSP = 130°

Answer:

∠RSP=130

Step-by-step explanation:

It is given that ∠PQR = 130°

∴∠RSP = 130° (vertically opposite angles are equal in a parallelogram)

PLSSSS HELP ME I WILL GIVE BRAINLIEST, A HEART, AND 5 STARS PLSSS HELP ME THIS IS DUE BY THE END OF TODAY

Answers

Answer:

who wanna talk im bored

Answer:

B

Step-by-step explanation:

Can you please help me with this? the question is What is Andrew's mistake? and find the correct answer?

Answers

Answer:

there is no -1 it must be one so it is now 3/4 x 4/3=12/2=1

Step-by-step explanation:

When you divide by a fraction, you must take its reciprocal and multiply.
Andrew did not do that,

So, (-3/4) / (4/3) becomes (-3/4) x (3/4)
The answer is -9/16.

Eli has a loan of $24,650. This loan has a simple interest rate of 3% per year. What is the amount of interest that Eli will be charged on this loan at the end of two years?

Answers

Answer:

$1479

....,..........

Answer:

If your talking about how much they are going to pay ONLY interest for two years then it is $1,479. $1,479 is the amount of money they will be paying for two years ONLY FOR INTEREST.

Step-by-step explanation:

3% of 24,650 is 739.5. That is for one year. 739.5 times 2 for two years is 1,479. Just in interest they will be paying a total of 1479 for two years. Let me know if I'm right. This should be right though. Hope it helped :)

help !! which one is it?

Answers

The third one is correct

find the area of the circle​

Answers

Answer:

200.96

Step-by-step explanation:

A = 3.14(8^2)

3.14 * 8 * 8

3.14 * 64

200.96

Answer:

if it is 1.1 times 8 that would be 8.8, but if it is just 11 times 8 that would be 88.

Step-by-step explanation:

why sad? be happy :v

Answers

Answer:

Because two of my uncles got shot and my moms friend committed suicuide. This all happened this year. That’s why I’m sad.

Step-by-step explanation:

What is the answer.”what is the slope and the y-intercept of the line on the graph below.

Answers

Answer: A: Slope = -4, y-intercept 1

Step-by-step explanation:

To find slope, do rise over run. The y-intercept is where the line crosses the y-axis.

What is the vertex of this parabola? y= 2x² + 4x +5

Answers

Answer:

vertex = (- 1, 3 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = 2x² + 4x + 5 ← is in standard form

with a = 2, b = 4, then

[tex]x_{vertex}[/tex] = - [tex]\frac{4}{4}[/tex] = - 1

Substitute x = - 1 into the equation for corresponding value of y, that is

y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3

vertex = (- 1, 3 )

find the slope of the line y=-3/8x-7/6

Answers

Answer:

The slope is -3/8

Step-by-step explanation:

Y= mx+b

m or mx is the slope while b is the y intercept

-3/8 hope it helps :)

a bag contains 10 red marbles, the ratio of red marbles to blue marbles is 5 to 1 find the numbers of blue marbles in the bag

Answers

Answer:

The Answer is 2 blue marbles.

Step-by-step explanation:

The numbers of blue marbles in the bag will be 2.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

a bag contains = 10 red marbles

the ratio of red marbles to blue marbles is = 5:1

That is :

5 ratio of marbles is equals to = 10 marbles

now,

1 ratio of marbles is equals to = 2 marbles

Therefore, the numbers of blue marbles in the bag will be 2.

Read more about ratio at:

https://brainly.com/question/17869111

#SPJ2

how do you use scientific notation to estimate the hours in a year

Answers

Answer:

8.760 x 10^3

Step-by-step explanation:

There are 8760 hours in 1 year. So, you can convert this to scientific notation by moving the decimal from 8760 three times to the left:  8760. → 8.760  And since it was moved three times, put an exponent of 3 to the 10:  10^3  So, you get 8.760 x 10^3 hours in a year.

Hope this helps! :)

what are the x intercepts of h(x) in h(x) = -x(x-2)

Answers

Step-by-step explanation:

symbolab would be a great thing to use, itll tell you the steps and the answer

9
A beach ball has a diameter of 28 inches. Which expression uses the formula for the volume
of a sphere correctly?
(1 Point)
O 3/47 (14)
4/3(78)
O 4/37 (28)
4/377 (14)

Answers

Answer:

a ball strecker

Step-by-step explanation:

I don't understand this at all. Please help.



- A confused eighth grader.

Answers

Answer:

T

Step-by-step explanation:

All the other ones are functions because their relations all start with different numbers except T, where it has 3 two times.


Help please I would really appreciate it

Answers

Answer:

Step-by-step explanation:

4x+81=13x+36

answer is 5°

Match each inequality with its solutions set

Answers

Answer:

1. will be 2×1+1<_3

2. with 1+3×-2>_5

3. with 5--2×3>_11

4.5×2+7>_17

Fran and Alex ride their bicycles from school. Fran rides 3 miles west and 2 miles south to get home. Alex rides 4 miles east and 3 miles north to get home. How many miles apart are Fran's and Alex's homes?

Answers

Answer:

The number of miles the homes of Fran's and Alex's homes are apart is approximately 8.602 miles

Step-by-step explanation:

The given displacements, d in vector form are;

For Fran;

3 miles west and 2 miles south gives d₁ = -3·i - 2·j

For Alex;

4 miles east and 3 miles north gives d₂ = 4·i + 3·j

The number of miles apart between Fran's and Alex's homes = d₂ - d₁

d₂ - d₁ = 4·i - (-3·i) + 3·j - (-2·j) = 7·i + 5·j

∴ The number of miles between Fran's and Alex's homes = 7·i + 5·j

The magnitude in miles in the distance between Fran's and Alex's homes = √(7² + 5²) = √74

∴ The magnitude in miles in the distance between Fran's and Alex's homes ≈ 8.602 miles

The magnitude in miles in the distance between Fran's and Alex's homes = The number of miles the homes of Fran's and Alex's homes are apart

∴ The number of miles the homes of Fran's and Alex's homes are apart ≈ 8.602 miles

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