Point-Slope Form Practice
What is the equation of the line in point-slope form that has a slope of -1 and passes through the point (-2,-5)?

Answer:

8

Step-by-step explanation:

The factored form of the given expression is 8(4x+7).

GCF stands for Greatest Common Factor, it is the highest common factor of each of the term in the expression.

Express each term of the given expression in the form of factors.

32x+56=8·4·x+8·7

From both terms, the highest common factor, that is, GCF is 8.

Factor out 8 from the terms.

8(4·x+7)=8(4x+7)

Thus, the factored form of the given expression is 8(4x+7).

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[tex] \frac{20}{100} (100x) = \frac{80}{x} (100x) \\ \frac{20}{ \cancel{100}}( \cancel{100} \: \: x) = \frac{80}{ \cancel{x}} (100 \cancel{x}) \\ 20x = 80(100) \\ 20x = 8000[/tex]

[tex]x = \frac{8000}{20} \longrightarrow \frac{800 \cancel{0}}{2 \cancel{0}} \\ x = \frac{800}{2} \longrightarrow \frac{ \cancel{800} \: \: 400}{ \cancel{2} \: \: 1} \\ x = 400[/tex]

Substitute x = 400 in the equation.

[tex] \frac{20}{100} = \frac{80}{400} \\ \frac{ \cancel{20} \: \: \: 1}{ \cancel{100} \: \: \: 5} = \frac{ \cancel{80} \: \: \: 1}{ \cancel{400} \: \: \: 5} \\ \frac{1}{5} = \frac{1}{5} [/tex]

The equation is true for x = 400. Therefore the answer for equation is x = 400.

[tex] \large\boxed{x = 400}[/tex]

Answer: 400

Explain: Just do 80/20 and get 4 then do 100 times 4

回答：400

説明：80/20を実行して4を取得し、次に100回4を実行します

Answer: c. add 32

Step-by-step explanation:

Answer:

add 32

Step-by-step explanation:

it will solve for x

Answer:

2/3

Step-by-step explanation:

rise 4 run 6 simplifies to 2/3

Step-by-step explanation:

Consider the given expression,

Let,

x=

6+

6+

6+

6..........∞

Now,

x=

6+x

x

2

=6+x

x

2

−x−6=0

x

2

−3x+2x−6=0

x(x−3)+2(x−3)=0

(x−3)(x+2)=0

x=3or−2

Hence,this is the answer.

Answer:

14x-4w+14y

Step-by-step explanation:

9x+5x-8w+4w+9y+5y

=14x-4w+14y

Answer:

180 feet tall

Step-by-step explanation:

36 divided by 9.8 = 3.673469388

3.673469388 x 49 = 180 ft

Answer:

14 ft

Step-by-step explanation:

116 divided by 12 because there are twelve inches in a foot

Answer:

-8,-6

Step-by-step explanation:

The completed table for y = 2x - 4 is ( - 2, 0), (- 1, - 6), and (0, -4)

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function y = 2x - 4.

Now at x = - 2 we'll simply put the numerical value of x in y.

y = 2(2) - 4.

y = 4 - 4.

y = 0.

( - 2, 0).

At x = - 1.

y = 2(-1) - 4.

y = - 2 - 4.

y = - 6.

(- 1, - 6).

At x = 0.

y = 2(0) - 4.

y = 0 -4.

y = -4.

(0, -4)

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Answer: See explanation

Step-by-step explanation:

By the Triangle Inequality Theorem, the length of the side must be greater than 1 ft because the sum of two side lengths must be greater than the length of the third side. The third side must be less than 7 ft but greater than 1 ft.

Triangle inequality: 1 < x < 7

Hope that helped!

Answer:

11/20

Step-by-step explanation:

16/20 - 1/4

rewrite 1/4 with same denominator (multiply by 5)

16/20 - 5/20 = 11/20

Answer:

False

Step-by-step explanation:

Answer:True

Steby-step explanation:

Answer:

160

Step-by-step explanation:

To solve this we will use the equation

Distance= Velocity * Time

We will first need to calculate the time flown

So we have

960=480*time

Divide and get time=2

We now need to find the new velocity considering wind speed and we can do this by writing a new equation

We have

640=velocity*2

divide and get that velocity=320

This is the speed that the plane was going with the wind resistane which means that to calculate the wind resistance you subtract 320 from the plane's normal speed of 480

so 480-320=160

Answer: h(35) = 43

Step-by-step explanation: The question is asking you to solve the equation if t = 35:

h(t) = 50 - t/5

h(35) = 50 - 35/5 <— I substituted 35 in for t.

h(35) = 50 - 7

h(35) = 43

Answer:

The answer is 43

Step-by-step explanation:

[tex]h(t) = 50 - \frac{t}{5}[/tex]

[tex]h(35) = 50 - \frac{35}{5}[/tex]

[tex]h(35) = 50 - 7[/tex]

[tex]h(35)=43[/tex]

Answer:

13

Step-by-step explanation:

I used the calculator heheh

Hope It Helps

Answer:

An equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

[tex]y-1=\frac{1}{4}\left(x+4\right)[/tex]

Step-by-step explanation:

Given the points

Finding the slope between the points (-4,1) and (4,3)

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

[tex]\left(x_1,\:y_1\right)=\left(-4,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:3\right)[/tex]

[tex]m=\frac{3-1}{4-\left(-4\right)}[/tex]

Refine

[tex]m=\frac{1}{4}[/tex]

Point slope form:

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

where

in our case,

substituting the values m = 1/4 and the point (-4,1) in the point slope form of line equation.

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

[tex]y-1=\frac{1}{4}\left(x-\left(-4\right)\right)[/tex]

[tex]y-1=\frac{1}{4}\left(x+4\right)[/tex]

Thus, an equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

[tex]y-1=\frac{1}{4}\left(x+4\right)[/tex]

Answer:

Third Option ∠XYW ≅∠ZYW

Step-by-step explanation:

Line bisector cuts an angle in half.

Answer:

9

Step-by-step explanation:

42 / 7 = 6

48 / 8 = 6

54 / 6 = 9

Answer:

the answer is 9

Step-by-step explanation:

the number are being multipled by 6

Answer:

Option E

Step-by-step explanation:

Central angles of a regular polygon = [tex]\frac{360}{n}[/tex]

Here, n = Number of sides of the regular polygon

Therefore, central angle of the regular polygon = [tex]\frac{360}{8}[/tex] = 45°

From the picture attached,

m∠AOB = [tex]\frac{45}{2}[/tex] = 22.5°

By tangent rule,

tan(∠AOB) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(22.5°) = [tex]\frac{AB}{OB}[/tex]

AB = OB[tan(22.5°)]

AB = 5(0.414213)

     = 2.07 in

Therefore, area of ΔAOC = 2 × (Area of ΔABO)

                                          = [tex]2(\frac{1}{2})(\text{Base})(\text{Height})[/tex]

                                          = AB × OB

                                          = 2.07 × 5

                                          = 10.35 in²

Since, area of the given regular octagon = 8 × (Area of ΔAOC)

                                                                    = 8(10.35)

                                                                    = 82.5 in²

Therefore, Option (E) is the answer.

Answer:

3(2) + 15= 21; 3(3) +15= 24; 3(5) + 15= 30

Step-by-step explanation:

just plug in your x values and then solve

Using the two points given, we can plug them into  m = (y2 -- y1) / (x2 -- x1)

(-2,4)  (3,-2)

-2-4/ 3--2 = -6/5

Therefore the slope of the line would be [tex]-\frac{6}{5}[/tex]

or D