Draw a line representing the rise and a line representing the run of the line. State the slope of the line in simplest form.

Draw A Line Representing The Rise And A Line Representing The Run Of The Line. State The Slope Of The

Answers

Answer 1

The slope of the line is 7 x - 8 y + 56 = 0  0r 8 y = 7x - 56

What does it mean by slope of a line ?

The ratio of the difference between the y- and x-coordinates of the two points that make up the line must be calculated. The slope of the line is the value that is obtained. It displays how the line's y-axis climb compares to its x-axis run.

Given : The two points are A( 0, 7 ) and B ( -8 , 0 )

The formula of the slope of the line is

y₂ - y₁ = m ( x₂ - x₁ )

And m = y₂ - y₁ / x₂ - x₁

m = - 7 / - 8 = 7/8

therefore , y - 0 = 7/8 ( x + 8 )

8 y = 7x + 56

7 x - 8 y + 56 = 0

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Related Questions

30 points asap
The equation y = –117.5 x + 31,379.9 gives the population y of a city x years after 1975. What is the real-world meaning of the rate of change and the y-intercept?

Rate of Change: The city’s population decreases by about 118 people each year. Y-intercept: In 1975, the city’s population was about 31,380 people.

Rate of Change: The city’s population decreases by about 31,380 people each year. Y-intercept: In 1975, the city’s population was about 118 people.

Rate of Change: The city’s population decreases by about 1975 people each year. Y-intercept: In year 0, the city's population was about 118 people.

Answers

The equation y = –117.5 x + 31,379.9 gives the population y of a city in x years after 1975 , in real world ,

Rate of Change means The city’s population decreases by about 118 people each year , and Y-intercept means  In 1975, the city’s population was about 31,380 people.

In the question ,

the equation that gives the population y of a city in x years is

y = –117.5 x + 31,379.9

let us find the population for 1976

So , x = 1 ,

we get , y = –117.5(1) + 31,379.9

y = –117.5 + 31,379.9

y = 31262.4

So, the population in the year 1976 is 31262.4

change in population = population in 1976 - population in 1975

= 31262.4 - 31,379.9

= -117.5

≈ -118

to find the population in the year 1977

x = 2 ,

we get , y = –117.5(2) + 31,379.9

= –235 + 31,379.9

= 31144.9

change in population = population in 1977 - population in 1976

= 31144.9 - 31262.4

= -117.5

≈ -118

From above , we can see that the population is decreasing in the year 1976 and 1977 , by  118 people,

hence , we can say that , the city’s population decreases by about 118 people each year

For population in 1975 , we put x=0 ,

So , y = –117.5(0) + 31,379.9

= 31379.9

≈ 31380

Therefore , the equation y = –117.5 x + 31,379.9 gives the population y of a city in x years after 1975 , in real world ,

Rate of Change means The city’s population decreases by about 118 people each year , and Y-intercept means  In 1975, the city’s population was about 31,380 people .

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Did anybody see my question for 24 I really need help

Answers

Answer:

48

hope its right sorryyyy

NuHome Movers charges $95 per hour for loading/unloading services and $80 per hour for packing/unpacking services. Their charge is $2.50 per mile for truck rental. Jay is moving a distance of 200 miles and needs 9 hours of loading/unloading and 7 hours of packing/ unpacking. What will his moving cost be if the service also charges 7.25% tax on the total?​

Answers

Answer:

Total moving cost = $2,053.84

Step-by-step explanation:

Let's write down Jay's requirements and costs associated

9 hours of loading/unloading at $95 per hour = 95 x 9 = $855

7 hours of packing/unpacking at $80 per hour = 80 x 7 = $560

200 miles of transportation at $2.50 per mile = 2.50 x 200 = $500

Total before-tax cost of moving = $855 +  $560 + $500 = $1, 915

Sales Tax is additional at 7.25%

Sales Tax amount = 1915 x 7.25%

= 1915 x 7.25/100 = 138.8375 = $138.84

Total cost including sales tax = 1915.00 + 138.84 = $2,053.84

What is the measure of m?n20m5= [?]?]Vm =Give your answer in simplest form.Enter

Answers

To answer this question, we need to remember the next theorem:The

We have that the hypotenuse is the largest side of a right triangle. In this case, it is equal to (5 + 20) = 25 units.

The leg of the right triangle we need to find is m, and we know that the projection of m on the hypotenuse is 5 units.

Theref

What’s the answer plss I need help asp

Answers

Answer:

I am 80% positive that it is DE but there is still that other 20% so keep in mind I am not entirely sure

What is the answer to the problem for sin, sec, tan. I don’t really need a detailed explanation just the answer. Thank you.

Answers

Answer:

[tex]\begin{gathered} \sin(\theta)=-0.35 \\ \\ sec(\theta)=-1.07 \\ \\ \tan(\theta)=0.38 \end{gathered}[/tex]

Step-by-step explanation:

Remember that for a given terminal point of an angle, we define those trigonometric functions as following:

[tex]\begin{gathered} \sin(\theta)=\frac{y}{\sqrt{x^2+y^2}} \\ \\ sec(\theta)=\frac{\sqrt{x^2+y^2}}{x} \\ \\ \tan(\theta)=\frac{y}{x} \end{gathered}[/tex]

This way, we'll have that:

[tex]\begin{gathered} \sin(\theta)=-0.35 \\ \\ sec(\theta)=-1.07 \\ \\ \tan(\theta)=0.38 \end{gathered}[/tex]

The northern hemisphere of planet earth has an inner core that is made up of iron and nickel. This iron nickel core is 30% of the volume of the northern hemisphere. If the diameter of the earth is 8,000 miles, what is the volume of iron-nickel core?

Answers

It turns out that the dynamo effect depends on the presence of up to 20% nickel in the Earth's core, a metal that behaves very differently from iron under extreme temperatures.  Unlike the northern hemisphere mineral-rich crust and mantle, the core is made almost entirely of metal—specifically, iron and nickel. The shorthand used for the core's iron-nickel alloys is simply the elements' chemical symbols—NiFe. Elements that dissolve in iron, called siderophiles, are also found in the core.

Explain about the volume of iron nickel core?The core is almost entirely comprised of metal, notably iron and nickel, in contrast to the crust and mantle, which are rich in minerals. Iron-nickel alloys found in the core are denoted by their chemical symbols, NiFe. The core also contains siderophiles, or substances that dissolve in iron.volume calculation for the earth. Since the Earth is nearly spherical, its volume (V) may be determined using the formula V = 4/3 pi x r3, where r is its radius.The core of the earth is made up of iron, nickel, and other heavy metals like gold since they are the heaviest of all the metals and gravitated into the center of the planet.

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In the diagram, ABC is a straight line.

Work out the size of the angle marked x.

Answers

Answer:

See below

Step-by-step explanation:

1   note the other angle at d = 62   ( isosceles triangle)

2  x = 180 - 62 - 62 -25

Answer:

x = 31°

Step-by-step explanation:

since AB = BD then Δ ABD is isosceles with base angles congruent, so

∠ ADB = ∠ BAD = 62°

the sum of the 3 angle in Δ ABD = 180° , so

∠ ABD = 180° - 62° - 62° = 180° - 124° = 56°

∠ ABD and ∠ CBD are a linear pair and sum to 180° , so

56° + ∠ CBD = 180° ( subtract 56° from both sides )

∠ CBD = 124°

the 3 angles in Δ CBD sum to 180° , then

x + 124° + 25° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

determine whether the function has a minimum or maximum f(x)=-2/3x+5 if x<0 -x if 0 4 -x^2+4x+4 if x>4

Answers

The function has no minimum or maximum

How to determine the minimum or the maximum of the function

The function is given as

f(x) = -2/3x + 5 if x < 0

f(x) = -x^2 + 4x + 5 if x > 4

The above function is a piecewise function

And the type of functions in the piecewise function are

Linear functionQuadratic function

A linear function does not have a minimum or a maximum

This means that the function would have no minimum or maximum

Hence, the minimum or the maximum value of the function does not exist

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In the space provided below, solve the inequality x/8 - 13 > -6 for x algebraically. Show all work. ​

Answers

Answer:

x > 56

Step-by-step explanation:

x/8 - 13 > -6

x/8 > 7

x > 56

The half-life of a radioactive kind of uranium is 2 years. How much will be left after 4 years, if you start with 776 grams of it?

Answers

ANSWER

194 grams

EXPLANATION

We have that the half life of the uranium is 2 years.

This means that it will take 2 years for the uranium to decay to half of its original value.

The formula for exponential decay is:

[tex]y=ab^t[/tex]

where y = the value after the decay

a = initial value

b = rate of decay.

t = number of years

First, we have to find b.

We have that 776 grams of uranium will decay to half its amount (388 grams) in 2 years. This means that:

[tex]\begin{gathered} 388\text{ = 776 }\cdot b^2 \\ \Rightarrow b^2\text{ = 388 / 776} \\ b^2\text{ = 0.5} \\ b\text{ = }\sqrt[]{0.5} \\ b\text{ = 0.707} \end{gathered}[/tex]

Therefore, after 4 years (t = 4), the amount of uranium left will be:

[tex]\begin{gathered} y\text{ = 776 }\cdot(0.707)^4 \\ y\text{ = 776 }\cdot\text{ 0.25} \\ y\text{ = 194 grams} \end{gathered}[/tex]

That is the amount of uranium that will be left after 4 years.

Theatre tickets cost either $30 or $42. One evening twice as many $30 tickets are sold as $42 tickets and the total money taken is $18564. Find the total number of tickets that are sold.​

Answers

Ratio = 1:2
1 + 2 = 3
18564 / 3 = 6188
6188 x 2 = 12376
Ratio = 6188:12376
6188 / 42 = 148 tickets
12376 / 30 = 413 tickets
413 + 148 = 561 tickets

3
1
1. How many groups of 1/8 are in 3?
8
2. Evaluate.
5
groups
|||

Answers

Answer:

answer to question 1: 24

Explanation: (btw sorry i couldn't answer question 2) multiply 8 times 3 and you get the answer

The required group of number is 24 of 1/8 in 3.

What is algebra?

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

The given numbers are 1/8 and 3.

Let there are n number of groups of 1/8 in 3.

To find the value of number of groups n,

Use equation form,

1/8 n = 3

n = 3 x 8

n = 24.

There are 24 groups of 1/8 in 3.

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Calculate the volume of liquid that would fill the bowl of the glass. SHOW ALL WORK!!

Answers

Answer:

49.7 cm³

Step-by-step explanation:

We need to find the volume of the cone with:

Diameter = 5 cm andSlant height = 8 cm

First, find the height, using Pythagorean, where hypotenuse of the triangle is 8 cm and base is the radius = 5 cm/2 = 2.5 cm:

[tex]h = \sqrt{8^2-2.5^2} =\sqrt{57.75} =7.6[/tex]    (rounded)

Find the volume of the cone:

[tex]V=\pi r^2h/3=3.14*2.5^2*7.6/3 = 49.7[/tex]   (rounded)

Next questionA man uses a loan program for small businesses to obtain a loan to help expand his vending machine business. The man borrows $27,000 for 3 years with a sirinterest rate of 1.5%. Determine the amount of money the man must repay after 3 years.The man must repay

Answers

Simple interest formula (not compound interest formula) is used here, as much as i know.

the formula is:

f = p * (1 + r * n).

f is the future value

p is the present value

r is the interest rate per time period

n is the number of time periods

Given

[tex]\begin{gathered} P=27000 \\ r=1.5\%=\frac{1.5}{100}=0.015 \\ n=3years \end{gathered}[/tex]

Therefore, we have

[tex]f=27000(1+0.015\times3)=\text{ \$}28215[/tex]

Hence, the answer is

[tex]\begin{equation*} \text{\$}28215 \end{equation*}[/tex]

Adam's school is 12 miles from his house. It takes his older brother
20 minutes to drive him to school.
If Adam's brother drives s mph faster than usual, how fast will
they reach the school?

Answers

^ = 20, so the answer is 20

Andre is setting up rectangular tables for a party. He can fit 6 chairs around a single table. Andre lines up 10 tables end-to-end and tries to fit 60 chairs around them, but he is surprised when he cannot fit them all. IS THE RELATIONSHIP PROPORTIONAL

THIS IS DUE TODAY ​

Answers

He can’t fit them all because he can only put 4 chairs per table because it is an rectangle



Reason is because a rectangle has 4 sides at here for he can only put 4 chairs per table

Guys i need helps is this right?​

Answers

you are correct!!! the answer is F.

I need help finding the measurements of the numbered angles Question 1 and 2

Answers

In figure one the value of   ∠2 = 65 °  ∠1 = 115° .

In figure two the value of   ∠2 = 74°  ∠1 = 106°.

What are corresponding angles in parallels lines?

In the case of parallel lines, corresponding angles are congruent. Corresponding pairs are all angles that are situated in the same location with respect to the parallel and transversal lines. According to the definition of corresponding angles, when three parallel lines intersect two of them, the angles that are present at each intersection and are in the same relative position are said to be corresponding angles. Alternate angles, co-Interior angles, and matching angles are three facts regarding angles in parallel lines that we use to do this. When a transversal crosses two parallel lines, alternate and matching angle pairs coincide. Only when a transversal crosses two parallel lines perpendicularly are consecutive angles congruent. When a transversal intersects two parallel lines, however, subsequent angles are not necessary.

Figure 1

Given angle = 65°

=  ∠2

Cause they are corresponding angles.

∠1  + ∠2 = 180°

∠1   = 115

Figure 2

Given angle = 74 °

= ∠ 2

Cause they are corresponding angles.

∠1  + ∠2 = 180°

∠1   = 106°

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I have a question about exponential functions I will submit a photo

Answers

The values are given as:

(a) Approximate the value of e^6 to 4 decimal places:

The value of

[tex]e^6=403.42879[/tex]

The approximate value to 4 decimal places is 403.4288.

(b) Approximate the value of e^(-0.66) to 4 decimal places:

[tex]\text{The value of e}^{-0.66}=0.5168513344916[/tex]

Approximated value to 4 decimal places is 0.5168..

Please help me asap (20 points)

Answers

Answer:

1.7^28/1.6^21 the second option.

Step-by-step explanation:

Which table represents a linear function?
x y
1 3
2 7
3 11
4 15

x y
1 3
2 8
3 15
4 21

x y
1 3
2 9
3 3
4 9

x y
1 3
2 9
3 27
4 81

Answers

The first table represents a linear function.

What is a linear function?

A linear function is one that changes at a constant rate. Any linear function has an increase or decrease that is constant. The slope of the line, denoted by the letter m in the equation y = mx + b, is this constant rate of change.

Given are the tables with values of x and y.

In a table of linear functions, the ratio of the difference in y values to the difference in x values is consistently constant.

The first table is given as:

x y

1 3

2 7

3 11

4 15

Only table 1 in the provided tables represents a linear function.

This is because the equivalent values of y change by 4 when the value of x changes by 1.

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What is the length of side BC to one decimal place?

Answers

Answer:

BC ≈ 9.0

Step-by-step explanation:

using the tangent ratio in the right triangle

tan42° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{10}[/tex] ( multiply both sides by 10 )

10 × tan42° = BC , then

BC ≈ 9.0 ( to 1 dec. place )

I need help on this question

Answers

I think the equation would be this:

F(x) = -(x-4)^2 +9

(Negative slope, and vertex is point (4,9))

Help!! Which of the following is a true statement of the figure ?

Answers

Answer:

3rd option

Step-by-step explanation:

In the 3rd option, two sides from each triangle in the large triangle are compared.

Walter Slater sells appliances and earns 2.5% commission in addition to his salary. Last month he sold
$63,000 in appliances. How much was his commission check?

Answers

Answer:

1575

Step-by-step explanation:

Comment

You are just asked to figure out the commission. The rule is to place 100 underneath what is given as the %. In effect, % = x / 100 in decimal form. In this case x = 2.5

So the % is 2.5/100 = 0.025 as a decimal

So commission is 63000 * 0.025 = $1575 commission

please help this worth half ny grade​

Answers

Answer:

see image

Step-by-step explanation:

See attached image

Sid burrowed a single payment loan at $10,000 at an interest rate of 5.5%. The term of the loan is 120 days. What is the maturity value of his loan at exact interest?

Answers

[tex]A=P(1+i)^t[/tex]

For this case

P = 10 000

i=0.055

t=120

After you compute the formula you would get

A = 6 170 141

If you leave $2500 in an
account earning 9% interest, compounded daily, how
much money will be in the account after 4 years?

Answers

The amount of money that will be in the account after 4 years is $3,583.16

How many times is interest compounded annually?

The fact that the interest rate of 9% in this scenario is compounded daily means that the interest is compounded every day of the year, 365 days in a year, hence, our future value formula needs an adjustment for daily compounding as shown below:

FV=PV*(1+r/m)^(n*m)

FV=the accumulated balance in the account after 4 years=unknown

PV=amount invested or deposited initially=$2500

r=annual interest=9%

m=number of times in a year that interest is compounded=365

n=number of years=4

FV=$2500*(1+9%/365)^(4*365)

FV=$3,583.16

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Standard Form & Scientific Notation• 3 examples of converting from standard form to scientific notation• 3 examples of converting from scientific notation to standard form

Answers

Required:

We need to convert from standard form to scientific notation and also scientific notation to standard form.

Explanation:

a) Convert from standard form to scientific notation:

1) Consider the number 4,520,000.

The given number can be written as follows.

[tex]4,520,000=452\times10000[/tex]

[tex]=452\times10^4[/tex]

[tex]=452\times10^4\times\frac{10^2}{10^2}[/tex]

[tex]=452\times\frac{10^4\times10^2}{10^2}[/tex]

[tex]=\frac{452}{100}\times10^6[/tex]

[tex]=4.52\times10^6[/tex]

The scientific notation of s

[tex]4.52\times10^6[/tex]

2) Consider the number

[tex]35.98\times10^3[/tex]

Multiply and divide by 10.

[tex]35.98\times10^3=35.98\times10^3\times\frac{10}{10}[/tex]

[tex]=\frac{35.98}{10}\times10^3\times10[/tex]

[tex]=3.598\times10^4[/tex]

The scientific notation is

[tex]3.598\times10^4[/tex]

3) Consider the number.

[tex]600.89\times10^{-8}[/tex]

Multiply and divide by 100.

[tex]600.89\times10^{-8}=600.89\times10^{-8}\times\frac{100}{100}[/tex]

[tex]=\frac{600.89}{100}\times10^{-8}\times10^2[/tex]

[tex]=6.0089\times10^{-6}[/tex]

The scientific notation is

[tex]6.0089\times10^{-6}[/tex]

b) convert from scientific notation to standard form:

1)

Consider the notation:

[tex]6.285\times10^{-5}[/tex][tex]Use\text{ }10^{-5}=\frac{1}{100000}.[/tex]

[tex]6.285\times10^{-5}=\frac{6.285}{100000}[/tex]

[tex]=0.00006285[/tex]

The standard form is 0.00006285.

2) Consider the notation.

[tex]7.9\times10^4[/tex][tex]Use\text{ }10^4=10000.[/tex]

[tex]7.9\times10^4=7.9\times10000[/tex]

[tex]=79000[/tex]

The standard form is 79,000.

3) Consider the notation.

[tex]9.008\times10^5[/tex][tex]Use\text{ }10^5=100000.[/tex]

[tex]9.008\times10^5=9.008\times100000[/tex]

[tex]9.008\times10^5=900800[/tex]

The standard form is 900,800.

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