(5, 4) (7,10)
find the slope

Answer:

[tex]Area =\frac{10x + 15}{2}[/tex] in both cases

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have the following given parameters

Green Section: Dimension: x by 2

Orange Section: Dimension: 2 by [tex]1\frac{1}{2}[/tex]

Purple Section: Dimension: 3 by (x + [tex]1\frac{1}{2}[/tex])

Solving (a): Area of the flag as a sum of each section

We simply calculate the area of each section.

[tex]Area = Length * Width[/tex]

For the green section;

[tex]Area = x * 2[/tex]

[tex]Area = 2x[/tex]

For the orange section

[tex]Area = 2 * 1\frac{1}{2}[/tex]

[tex]Area = 3[/tex]

For the purple section

[tex]Area = 3 * (x + 1\frac{1}{2})[/tex]

[tex]Area = 3 * (x + \frac{3}{2})[/tex]

[tex]Area = 3x + \frac{9}{2}[/tex]

Total Area = Sum of the above areas

[tex]Area = 2x + 3 + 3x + \frac{9}{2}[/tex]

Collect Like Terms

[tex]Area = 2x + 3x+ 3 + \frac{9}{2}\\[/tex]

[tex]Area = 5x+ \frac{6+9}{2}[/tex]

[tex]Area = 5x+ \frac{15}{2}[/tex]

[tex]Area =\frac{10x + 15}{2}[/tex]

Solving (b): Area of the flag as a product

From the attachment,

[tex]Length = 2 + 3[/tex]

[tex]Length = 5[/tex]

[tex]Width = x + 1\frac{1}{2}[/tex]

[tex]Area = Length * Width[/tex]

[tex]Area = 5(x + 1\frac{1}{2})[/tex]

[tex]Area = 5(x + \frac{3}{2})[/tex]

[tex]Area = 5x + \frac{15}{2}[/tex]

Take LCM

[tex]Area = \frac{10x + 15}{2}[/tex]

Answer:

a = -4

a = 3

Step-by-step explanation:

Hope that helps

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

y = 7x - 8 → (1)

y = 5x - 2 → (2)

A

Solving by substitution

Substitute y = 7x - 8 into (1)

7x - 8 = 5x - 2 ( subtract 5x from both sides )

2x - 8 = - 2 ( add 8 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 7(3) - 8 = 21 - 8 = 13

Solution is (3, 13 )

B

The point of intersection of the graph of the 2 equations is the solution to the above equations.

That is point of intersection = (3, 13 )

Answer:

2 positive unit tiles is needed

Step-by-step explanation:

Given the expression x^2 – 3x – 10, the partial factorization is as shown;

x^2 – 3x – 10

=  x^2 +2x – 5x – 10

= x(x+2)-5(x+2)

= (x-5)(x+2)

Note that negative values are represented as tiles labelled below (negative tiles) while positive values are tiles labelled above (positive tiles)

From the second line we can see that first term 1 is labeled + x squared, second is labelled +2x (two positive tiles above), then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.

Hence base on the partial factorization and the underlined statement, we can see that 2 positive unit tiles is needed to complete the factorization

Answer:

B i think

Step-by-step explanation:

Answer:

the first tree is 5ft and the second one is 6ft

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

Answer:

B

i think i need 20 words so B

Answer:

B

Step-by-step explanation:

Answer:

14/24 can be a answer?

Step-by-step explanation:

Hope this helped :)

Answer:

The estimated total to the nearest dollar is $31, so he cannot afford both items.

Step-by-step explanation:

10.58 rounded is 11

19.50 rounded is 20

11+20=31

Answer:

I think it would be last one. Based on the idea that 10.58 would round up to 11.00, and the DVD would add up to 20.oo

that would equal 31.00, and he only has 30.00 to spend.

So I would say D.

Step-by-step explanation:

Answer:

y = 3

Step-by-step explanation:

The equation of a line is;

y = mx + c

Now, when f(0) = 3, it means at x = 0, y = 3.

Thus;

3 = 0 + c

3 = c

Also, f(−6) = 3

Thus;

3 = -6m + 3

6m = 3 - 3

6m = 0

m = 0/6

m = 0

Thus,equation is;

y = c

y = 3

Answer:

It will take 32/24, or 1 1/3 days, for 24 men to get the job done.

Step-by-step explanation:

Answer: 2$ per sharpie

Step-by-step explanation:24 - 10= 14     7 x 2 =14

Answer:

Step-by-step explanation:

the probability of a die showing an even number is 3/6 i.e, 1/2. for one role the probability of getting an even number is 1/2, therfore for a thousand role = 1000 x 1/2 = 500 times.

Answer:

y = x^3 + x^2 − 20x

Step-by-step explanation:

Find the factors from the roots, then multiply the factors together.

f(x) = x³ + x² − 20x that is equation when x is equal to -5, 4, or 0 and for no other values of x.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Given that

f(x) = (x + 5)(x - 4)(x)

Multiply the factors together.

f(x) = (x + 5)(x² - 4x)

we have to open the brackets above

f(x) = x³ - 4x² + 5x² - 20x

Rearrange the likewise terms and apply the arithmetic operations,

f(x) = x³ + x² − 20x

This equation is true when x is equal to -5, 4, or 0 and for no other values of x.

Learn more about the polynomial here:

brainly.com/question/11536910

#SPJ2

Answer:

1. Addition property

2. Division property

3.  Given

next question

1. Distributive

2. Addition

3. Division

4. Given

Step-by-step explanation:

Answer:

x = 56

Step-by-step explanation:

[tex] \frac{1}{3} (x + 4) = 20 \\ \\ x + 4 = 20 \times 3 \\ \\ x + 4 = 60 \\ \\ x = 60 - 4 \\ \\ x = 56[/tex]

Answer:

slope = -5

Step-by-step explanation:

y = mx + b

m = slope

In this case m = -5

Answer:

As below

Step-by-step explanation:

1)    4*pi*[tex]5^{2}[/tex]= 314.159 [tex]cm^{2}[/tex]

2)    s = 4 * pi *[tex]r^{2}[/tex]

[tex]\sqrt{s / (4*pi)}[/tex] =r

[tex]\sqrt{(23716/81)/ (4 * pi)}[/tex] = r

15.1643... = r   :)

Answer:

95.40

Step-by-step explanation:

first u do 10% and that is 47.7

then 20% is 47.7 times 2 and that is 95.40

Answer:

[tex]\huge\boxed{\sf \$ \ 95.4}[/tex]

Step-by-step explanation:

Commission = 20 % of $477

[tex]\sf = \frac{20}{100} * \$ \ 477\\\\= 0.2 * \$ \ 477\\\\= \$ \ 95.4\\\\He \ got \ a \ commission \ of \ \$ \ 95.4\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

for every one cat there are 4 dogs

Step-by-step explanation:

11 : 44

11÷1 : 44÷11

1 : 4

Answer:

25

Step-by-step explanation:

25 times 25 =625

Answer:

25

Step-by-step explanation:

for questions like these it is best to use a calculator

if you use a TI 84 calculator then press the blue button that says "2nd" and

then on that same column there will be a button that says [tex]x^{2}[/tex]

press these buttons then enter the number that you want to find the square root of

then press "enter" and your answer will be there

1/8

Step-by-step explanation:

The probability of rolling an even number on one roll is 3/6 = 1/2. Assuming the rolls are independent, the probability of rolling an even number 3 times is ...

 (1/2)(1/2)(1/2) = 1/8

The probability that Nancy rolls all even numbers in 3 rolls is 1/8

Answer:

0.125

Step-by-step explanation:

fastbridge

Answer:

top one

Step-by-step explanation:

Answer: It's B.

Step-by-step explanation: this is 1st grade math. good luck!

Answer: 2<p<6

Step-by-step explanation:

p < 6

p > 2

if we were to flip that second one, p > 2, we get 2 < p.

now we combine that with the other inequality.

2 < p < 6

Answer:

[tex]6\sqrt{30}[/tex]

Step-by-step explanation:

Answer: You and your friends spent $8.35 for tips.

Step-by-step explanation:

Answer:

18 feet

Step-by-step explanation:

Answer:

It is C. 3

Step-by-step explanation:

Hope this helped have an amazing day!