Simplify the following expression 5(3x + 7)

A)

The four small squares are all 3x3, so the perimeter is 3+3+3+3 = 12.

12 * 4 = 48

We can find the perimeter of the large diamond shape using the Pythagorean theorem, a^2 + b^2 = c^2

a = 4

b = 4

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

c = 5.65685425

So the perimeter of the large diamond shape is

5.65685425+5.65685425+5.65685425+5.65685425 = 22.627417

48+22.6 = 70.6

B)

The areas of the small squares are 3x3 = 9

9 * 4 = 36

The area of the large diamond shape is

5.65685425 * 5.65685425 = 32

36 + 32 = 68

Step-by-step explanation:

Remainder Theorem states that if polynomial f(x) is divided by a linear binomial of the for (x - a) then the remainder will be f(a). Factor Theorem states that if f(a) = 0 in this case, then the binomial (x a) is a factor of polynomial f(x).

Answer:

Neither

Step-by-step explanation:

Parallel lines need to have the same slopes, but lines A and B have different slopes, so parallel is off the list.

Perpendicular lines need slopes that multiply to -1, meaning one of them must be negative. This is not possible if both are greater than 1, making them positive. The lines cannot be perpendicular.

If they are the same line, they need the same slopes. However, they have different slopes, making this option impossible.

We are left with neither.

Answer:

Commission = $768

Total amount commission in 2011 = $41,472

Step-by-step explanation:

Commission = Sales × 12% of sales

Commission = $6,400 × .12

Commission = $768

Number of weeks in a year = 52 weeks

Total amount commission in 2011 = Commission per month × Number of

                                                            weeks in a year

Total amount commission in 2011 = $768 × 52

Total amount commission in 2011 = $41,472

Answer:

its 5 boxes

Step-by-step explanation:

Answer:

97.5

Step-by-step explanation:

Supplementary means the angles add up to 180°

So,

m∠A = 180 - m∠B

m∠A = 180 - 82.5

m∠A = 97.5

Answer:

[tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

1. Use the slope formula:

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

2. Using the x and y values from both points (it doesn't matter which order you choose the points in as long as you keep their numbering consistent, i.e. point 1 = [tex](x_1, y_1)[/tex] and point 2 = [tex](x_2, y_2)[/tex]) plug into the formula.

[tex]slope=\frac{4-(-2)}{-18-6}[/tex]

3. Simplify the fraction.

[tex]slope=\frac{6}{-24} =-\frac{1}{4}[/tex]

Answer:

..

Step-by-step explanation:

If HV= 12 and we are trying to find UV. We just need to divide by 2 because UV is half. UV=6

Answer:

14.0

Step-by-step explanation:

First, find the area of the whole circle using the equation pi * r^2.

pi * (7^2) = 49pi

Then, to only get the area of a quarter of the circle, divide this number by 4.

49pi/4 = 38.485

Then, to get only the shaded region, you have to find the area of the triangle and subtract it from the area of the quarter circle. The area of the triangle is found using 1/2 * b * h.

1/2 * (7*7) = 24.5

Then subtract that number from the previous one.

38.485 - 24.5 = 13.985

You need to round this to 3 significant figures, so it would be 14.0.

Hope this helps

Answer: 2nd, 4th, and 5th options

Step-by-step explanation:

The x-intercept is where the graph meets the x axis line and is also known as being the roots/zeros of an expression. hope this helps

Answer:

2

Step-by-step explanation:

Answer:G(-5)=21,  G(-1)=5 G(0)=1 G(2)=-7 G(10)=-39

Step-by-step explanation:

1) 300 squared cm

2) 105 squared cm

3) about 165.75 squared cm

4) about 211.4 squared cm

Answer:

pretty sure 60, 5 x 12

Step-by-step explanation:

just do 5 x 12 if there's 12 tiles and their measurement is 5 inches each

Answer:

y=-3x+5

Step-by-step explanation:

y=mx+b

m=slope or gradient (=-3)

y=-3x+b  

Add your points

(2, -1)

-1=(-3 x 2)+b

-1= -6+b

-1+6=b

b=5

y=-3x+5

Answer:

[tex]\boxed {\boxed {\sf y= -3x+5}}[/tex]

Step-by-step explanation:

We are asked to find the equation of the line that passes through the point (2, -1) and has a slope of -3.

We are given a point and the slope, so we can use the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

In this formula, m is the slope and (x₁, y₁) is the point the line passes through.

The line has a slope of -3 and passes through (2, -1).

Substitute the values into the formula.

[tex]y--1= -3 (x-2)[/tex]

[tex]y+1= -3 (x-2)[/tex]

Distribute the -3 on the right side. Multiply each term inside the parentheses by -3.

[tex]y+1 = (-3*x) + (-3*-2)[/tex]

[tex]y+1=(-3x) + (6)[/tex]

[tex]y+1=-3x+6[/tex]

Subtract 1 from both sides of the equation to isolate the variable y.

[tex]y+1-1=-3x+6-1[/tex]

[tex]y=-3x +5[/tex]

The equation of the line is y= -3x+5.

Answer:

Step-by-step explanation:

step by step explanation

Answer:

P = 9/25

Step-by-step explanation:

yeah-ya........ right?

Answer:

3x-10=x+15+25

3x-10=x+40

3x-x=40+10

2x=50

x=50/2

x=25

Answer:

n=6

Step-by-step explanation:

-4n=-24

4n=24

n=24÷4

=6

Answer:

A group of boxes in a table that go side to side (horizontal) are called: Grids.

:)

A group of boxes in a table that go side to side (horizontal) are called Grids.

What is a grid answer?

Learn more about grid

brainly.com/question/28586483

#SPJ2

Answer:

Option 3 or C

Triangle NPM ~ Triangle NQR

Step-by-step explanation:

Answer:

5/12 of a gallon

Step-by-step explanation:

5 divided by 12 is 5/12

Answer:

a² - b² = (a+b)(a-b)

Step-by-step explanation:

= 2x² - 7x²

=(2x + 7x)(2x - 7x)

Answer:

-5x²

Step-by-step explanation:

combine like terms in 2x²-7x²

Answer:

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Answer:

In mathematics the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Here's ur perfect answer

Answer:

-5 is more positive than -6. SO bigger, I think means less negative, so -5.

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

On a number scale, -5 is bigger than -6 because it is less negative than -6. You can also think about it in context: if the temperature was -5 degrees it would be warmer than -6 degrees so is therefore bigger!

Hope this helps!

Answer:

c i think

Step-by-step explanation:

I'm sorry if not

Step-by-step explanation:

the most usual firm of line equation is

y = ax + b

a is the slope of the line and is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-interception (the bake of y when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.

the slope a :

x changes by +3 (from 3 to 6)

y changes by +8 (from -1 to 7)

so, the slope is +8/+3 = 8/3

our line equation now looks like

y = (8/3)x + b

let's simply use the first point

-1 = (8/3)×3 + b

-1 = 24/3 + b = 8 + b

-9 = b

and the full line equation is

y = (8/3)x - 9

Answer:

I'm pretty sure it is LINEAR.

I may be wrong

Step-by-step explanation:

BRAINLIEST?

Answer:

linear

Step-by-step explanation:

the inputs are not the same.

im not exactly sure, but im taking this lesson and thats what i learned :)

Answer:

5x-15=x+13

Step-by-step explanation:

I don't know which equation you want me to simplify, so I assume it is, 5(x – 3) = x + 13?