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Answer:

y = -2x+7

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b  where m is the slope and b is the y intercept

y = -2x +b

Substitute the point into the equation and solve for b

5 = -2(1)+b

5 = -2+b

Add 2 to each side

5+2 = -2+b+2

7=b

y = -2x+7

Answer:

x=10  or x=-4

Step-by-step explanation:

|x-3|=7

There are two solutions, one positive and one negative

x-3 = 7   and x-3 = -7

Add 3 to all sides

x-3+3 = 7+3           x-3+3 = -7+3

x = 10                    x = -4

Well, if we are taking the absolute value, of |x - 3| = 7, then you have a total of two cases. 7 can be either positive or negitive.

Knowing this, we can write out our two cases as:

|x - 3| = 7, or

|x - 3| = -7

Using these two equations, we can solve the equations for our values of x:

First Case:

|x - 3| = 7

x - 3 = 7

x = 10

Second Case:

|x - 3| = -7

x - 3 = -7

x = -4

So, our two cases show us that x can equal -4, or 10.

Answer:

ALL POSSIBLE DIMENSIONS OF THE RECTANGLE (whole numbers):

1 cm and 36 cm (Perimeter = 74 cm)

2 cm and 18 cm (Perimeter = 40 cm)

3 cm and 12 cm (Perimeter = 30 )

4 cm and 9 cm (Perimeter = 26)

6 cm and 6 cm Perimeter= 24 (squares are also considered rectangles, this is a square because of equal sides)

The rectangle with the greatest perimeter consists of the dimensions 1 cm and 36 cm.

EXPLANATION:

I listed all possible factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

And have come up with 5 possible dimensions with numbers from the listed factors above (when the dimensions of each rectangle are multiplied the result will be 36/the area)

Multiplication is used because the area of a rectangle is length x width

And I used the formula for perimeter:

2 (l + w)

And found the greatest perimeter (74 cm) that belongs to the rectangle with the dimensions 36 cm and 1 cm.

Answer:https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/v/scale-drawing-example-2

Step-by-step explanation:

this with help

Answer:

0

Step-by-step explanation:

99

Answer:

[tex]\displaystyle f[g(2)] = 3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle f(x) = -2x - 1\text{ and } g(x) = -x[/tex]

And we want to find the value of:

[tex]\displaystyle f[g(2)][/tex]

First, evaluate g(2):

[tex]\displaystyle \begin{aligned} g(2) &= -(2) \\ &= -2\end{aligned}[/tex]

Substitute:

[tex]\displaystyle f[g(2)] = f(-2)[/tex]

Evaluate f(-2):

[tex]\displaystyle \begin{aligned} f(-2) &= -2(-2) - 1 \\ &= 4 - 1 \\ &= 3\end{aligned}[/tex]

Therefore:

[tex]\displaystyle f[g(2)] = 3[/tex]

Answer:

[tex]x = 2.4[/tex]

Step-by-step explanation:

Step 1:  Find the length of AB

[tex]\frac{ED}{EA} = \frac{EC}{EB}[/tex]

[tex]\frac{15}{12} = \frac{18}{12+x}[/tex]

Cross Multiply

[tex]15(12+x) = 12(18)[/tex]

Distribute

[tex](15*12)+(15*x) = 216[/tex]

[tex]180 + 15x = 216[/tex]

Divide

[tex]15x / 15 = 36 / 15[/tex]

[tex]x = 2.4[/tex]

Answer:  [tex]x = 2.4[/tex]

Answer:

not a function

Step-by-step explanation:

A function has a one to one relationship

No input value can have more than one output value

-2 as an input goes to both 4 and -1 so it has more than 1 output

This is not a function

Rewrite the fractions so they have a common denominator

1/2 = 6/12

2/3 = 8/12

3/4 = 9/12

Now add them together:

6/12 + 8/12 + 9/12 = 23/12 rewrite to a mixed number: 1 and 11/12 total cups

Answer:

Step-by-step explanation:

1. Convert to decimals.

[tex]6\frac{3}{4}[/tex] = 6.75 cups of sugar - Total Sugar

[tex]1\frac{1}{2}[/tex] = 1.50 cups of sugar - Muffin Sugar

[tex]1\frac{3}{4}[/tex] = 1.75 cups of sugar - Nutbread sugar

2. Subtract muffin sugar from total sugar

6.75 cups total sugar  -  1.50 cups fir muffins = 5.25 cups remaining

3. Divide remaining sugar by amount used per loaf nutbread

5.25 cups sugar / 1.75 cups for each loaf nutbread = 3

3 Loaves of nutbread were made.

Answer:

(5,0)(3,0)

Step-by-step explanation:

x^2 - 8x + 15 = 0

(x - 5)(x - 3) = 0

x - 5 = 0

x = 5

x - 3 = 0

x = 3

Answer:

158. surface area = 108π

volume = 216√3π

159. surface area = 4√97π+16π

volume = 144π

Answer:

Lesser x = -10

greater x = -2

Step-by-step explanation:

Find the zeroes:-

[tex]f(x)=(x+6)^{2} -16=0[/tex]

[tex](x+6)^{2} -16=0[/tex]

[tex](x+6)^{2} =16[/tex]

[tex]\sqrt{(x+6)^{2} }=\sqrt{4^{2} }[/tex]

[tex]x+6=[/tex] ± [tex]4[/tex]

[tex]x+6=4[/tex]

[tex]x=4-6[/tex]

[tex]x=-2[/tex]

or, [tex]x+6=-4[/tex]

[tex]x=-4-6[/tex]

[tex]x=-10[/tex]

So, [tex]x=-10, \: or\: x=-2[/tex]

OAmalOHopeO

Answer:

LESSER X=-10

GREATER X=-2

Hope it helps:)))

have a marvellous day every single day!

Step-by-step explanation:

Answer:possible

Step-by-step explanation:

Answer:

Two ways to solve is to just do column addition or split 200+50+7 and add it to 400+30+8 first add 200+400 = 600, 50+30=80, 7+8 = 15. Add 600+80+15= 695.

Step-by-step explanation:

Answer:

695

Step-by-step explanation:

Answer:

2x+5 = 2x-10

2x = 2x-15

0 = -15???

This equation has NO SOLUTION.

Let me know if this helps!

Answer:

40.5 ft²

Step-by-step explanation:

*First we’ll split the shape into multiple smaller ones. The two ends make separate triangles while the middle makes a rectangle. From there you can solve for their areas.

*Each triangle is the same size, so when solving them, the area of one can just be duplicated. To find the height of each triangle, we take the total base of 8 ft and subtract the top 5.5 ft to get 2.5 ft. After that you’ll divide by 2 (for each triangle) so the height of each one is 1.25 ft.

Triangle:

A = 1/2bh

A = 1/2 (6) (1.25)

A = 3.75 ft²

Both triangles:

A = 3.75 (2)

A = 7.5 ft²

Rectangle:

A = lh

A = 5.5 (6)

A = 33 ft²

Total:

A = 7.5 + 33

A = 40.5 ft²

Answer:

Step-by-step explanation:

The shape can be broken down into 2 identical triangles and one rectangle.

Area of 2 triangles= 2(1/2×base×height)

= 2(1/2×6×2.5) = 15ft²

Area of Rectangle = length × breadth

= 6 × 5.5 = 33ft²

Area of figure = Area of 2 triangles + Area of Rectangle

= (15 + 33) ft² = 48ft²

The Taylor is right and Lupita is wrong.

It is required to Construct a math argument.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

In 2000 census, the population of a city was 935,426.

In 2010 census, the population of the same city was 934,578.

1. Taylor is correct because in the thousands place there is a a five for 2000 and 2010 it’s a 4.

2. Lupita is wrong it should be seventy-two thousand five hundred sixty.

Therefore, the Taylor is right and Lupita is wrong.

Learn more about statement  here:

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Answer:

-0.3n + 0.6

Step-by-step explanation:

if we write out the entire expression we have:

0.5n - 0.3 - 0.8n + 0.9 (two negative signs create a positive sign)

then we add and subtract

and receive

-0.3n + 0.6

Answer:

-0.3n + 0.6

Step-by-step explanation:

We can eliminate the parentheses, obtaining:

0.5n - 0.3 - 0.8n + 0.9

and then combine like terms, obtaining:

-0.3n + 0.6

Answer:

jhv

Step-by-step explanation:

kjbb

Answer:

alexander

Step-by-step explanation:

Answer:

Step-byit is alexander

Answer:

el ancho es

18

 pulgadas y la longitud es

2

×

18

=

36

 pulgadas.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

Scale factor:

When applied to the area consider k² as a scale factor.

The actual area:

The area on the map:

Answer:

i think the answer is 25pi

The circumference of the circle is 26π, having center at point (3,-7) and a point on the circle is (8,5).

A circle is a round-shaped picture, that has no corners or edges, in geometrical figure it has the largest area for any given length or parameter.

The point of center of the circle 0 = (3, -7).

And the point on the circle C = (8, 5).

The radius of the circle = the distance between center and point on circle

Use the formula to find distance between two points,

The distance between two points A(x₁, y₁) and B(x₂, y₂)

Distance

= √(x₂ - x₁)² + (y₂ - y₁)²

= √(8-3)² + (5 + 7)₂

= √5² + 12²

= √25 + 144

= √169

= 13

The radius of the circle r = 13.

The circumference of the circle = 2πr = 2 x π x 13 = 26π.

The circumference of the circle is  26π.

To know more about Circle on:

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Answer:

Push-Ups: 15, 30, 45, 60, 75

Sit-Ups: 30, 60, 90, 120, 150

Step-by-step explanation:

Multiply the number of push-ups by 2 to find the number of sit-ups.

Answer: For the push ups fill them up with the numbers 45, 60, and 75/ For the sit-ups fill them up with 90, 120, and 150./ But I'm pretty confused to find the overall example would you try to explain a bit more.

Step-by-step explanation:

Answer:

Question 1's answer is 75 mph

Question 2's answer is 30 minutes

Step-by-step explanation:

Answer:

1. 65mph

2. 1/2 hour

Step-by-step explanation:

1. The equation is D=R×T. Since the distance was 130 miles and the time was 2 hours, rewrite the equation as 130=2R. Divide both sides by 2 and you get R=65

2. Using the equation, write 35 miles as distance and 70 mph as rate: 35=70T. Divide both sides by 70: T=0.5, which is equal to 1/2 hour, or 30 minutes.