Prove the following statement: If the x- and y-intercepts of a line are identical nonzero numbers, the line must have a slope of -1.
What is the x-intercept you are using?
What is the y-intercept you are using?
Show what you did to prove the slope is -1

Answers

Answer 1

Answer:

Step-by-step explanation:

Proof:

If:

x intercept is at a number nonzero "a"

so the point where it intersects the x-axis is at (a,0)

y-intercept is at the same nonzeronumber "a"

so the point where it intersects the y-axis is at (0,a)

Then:

slope between point (a,0) and (0,a) is m= (y2-y1)/(x2-x1) = 0-a/a-0=-a/a= -1

x intercept is 2 (for example)

so the point where it intersects the x-axis is at (2,0)

y-intercept is 2

so the point where it intersects the y-axis is at (0,2)

slope between point (2,0) and (0,2) is m= (y2-y1)/(x2-x1) = 0-2/2-0=-2/2=-1


Related Questions

Verify experimentally that the angle opposite to the longer side is greater than
the angle opposite to the shorter side in any triangle (at least two figures are
necessary)

Answers

Answer:

If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). You may prove this theorem by taking a point P on BC such that CA = CP.

Step-by-step explanation:

That's how you can prove which side is bigger

Acellus help slope intercept

Answers

Greetings.

The answer is y = 2x + 7.

Explanation:

If you are an expert in graph then you are able to find the slope without calculating. (Rise over Run by looking at the graph.)

We can also find the slope by calculating m-value.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]   ---> Rise Over Run

But how are we gonna calculate if we don't have any two given ordered pairs?

The answer is, we can just pick two ordered pairs that are part of the graph, or rather say that the graph passes through.

The graph passes through (-3,1) and (-2,3).

Then we can calculate the slope by using rise/run.

[tex]m=\frac{3-1}{-2-(-3)}\\m=\frac{2}{-2+3}\\m=\frac{2}{1}\\m=2[/tex]

Thus, the slope is m = 2.

However, we are not done yet. We just only found out the slope. We need to find the y-intercept too.

From Linear Function - [tex]y=mx+b[/tex]

Where m = slope and b = y-intercept.

Since b = y-intercept, we don't need to calculate/substitute x = 0. We simply find which number the graph has y-intercept at.

Which is (0,7), the y-intercept.

Then we substitute b = 7 as y-intercept.

Thus the answer is [tex]y=2x+7[/tex]

There are 125 people on a mountain trail. If 55 people on the trail are children, what percentage of the people on the trail are children?

Answers

Answer:

44%

Step-by-step explanation:

.44 x 125 equals 55 n

Answer:

The percentage of people who were children = 44%

Step-by-step explanation:

Total people = 125Children on the trail = 55

We need to determine the percentage of the people on the trail who are children.

All we need is to divide 55 by the total number of people i.e. 125 and then multiply the result by 100.

so

Children percentage = 55 / 125 × 100

                                   = 0.44 × 100

                                   = 44%

Therefore, the percentage of people who were children = 44%

Write an equation for the n th term of the arithmetic sequence 56, 48, 40, 32, ....

Answers

Answer:

-8n+64

Step-by-step explanation:

Pls help 2 and 3!!!!!!!!!

Answers

Answer:

2)

d. -1 1/2

3)

c. 21 1/2

Step-by-step explanation:

A T-shirt company charges a design fee of $25 and then sells the shirts for $10 each. The total cost y can be represented by the equation y = 10x + 25, where x represents the number of T-shirts. The graph of the equation is shown. Describe what the slope and y-intercept represent.

Answers

Answer:

y-intersept is the design fee

I don't get this find all missing angles what does it mean how do I do it

Answers

First, you can find angle 1 by using the triangle angle formula, stating that all angles add up to 180 deg. Thus, angle 1 is equal to 180-72-57= 51 deg.

Next, you can find angle 2 by using the right angle shown. This means that angle 2 plus 72 deg = 90 deg. Thus, angle 2 is equal to 90-72= 18 deg.

For angle 3, notice that it is bordering the other angle on a straight line. A straight line is equal to 180 deg. This means that angle 3 + 57 deg = 180 deg. Thus, angle 3 is equal to 180-57= 123 deg.

Angle 4 can be found by using the triangle angle formula used for angle 1. In this case, angle 2+3+4 will equal 180 deg. Thus, angle 4 is equal to 180-18-123= 29 deg.

Answer:

1= 51

2= 18

3= 123

4= 39

Step-by-step explanation:

First you must know that all triangles equal 180. From there you can add and subtract the known numbers to get your answers. For example with angle 1, because you are give 72 and 57 you must add them together to get 129 then subtract that from 180 to get 51. You can do similar steps for all the angles to receive the answers.

Find the value of the power 6 to the -4th

Answers

Answer:

6 to the -4th is 7.716 x 10^-4

Step-by-step explanation:



What is |-8|?
-16
-8
08
16

Answers

Answer:

it's 8

Step-by-step explanation:

lol girl I did this in the first day of school in 6th and I got the same answer , -8 is a negative, your supposed to put it back to a non negative when something is negative change it back to positive it's 8!

Simplify 8x + 9d + 3x -5d
Please Do Show Your Work Explanation

Answers

Answer:

The answer is =4d+11x

Step-by-step explanation:

8x + 9d + 3x -5d

=9d-5d+8x+3x

=4d+11x

Answer:

putting in arranged and sum the like terms

8x+3x+9d-5d

11x+4d

Two pounds of cashews cost $19, and 8 pounds cost $76.
Number of pounds 2 3 8
Cost ($) 19 28.50 76
Is the relationship between the cost and the number of pounds of cashews a proportional relationship? Explain.

How can you use your equation to find the cost of 6 pounds of cashews?

Would it be possible to prove this is proportional or not proportional without the table? Explain how you know.

Please reply quickly thanks : )

Answers

Answer:

Yes there is a proportinal relationship because when I did 19 divided by 2 I got 9.5 and when I do 76 divided by 8 I got 9.5 so its proportinal. Yes I can find how much money 6 pounds is its 57. And yes I can do it without a table because all you have to do is divide the 19 and 2 and the other 2 numbers and if there the same then its proportinal.

Step-by-step explanation:

BRAINLIEST MAYBE???

What is the simple interest earned when the principal is $500 at a rate of 10% held in the ban for 8 months?

Answers

S.I= PRT /100

where,

P = price $500

R = rate 10%

T = time =8months

= $500*10*8/100

= $40,000/100

S.I = $400

Please give me the correct answer ​

Answers

Answer:

i dont think so.

Step-by-step explanation:

PLZZZ HELP GIVING BRAINLIST Match each expression to its value.

1. 7 - 5
-2
2. -7 + 5
2
3. -7 - 5
12
4. 7 - (-5)
-12

Answers

Answer:

1. 0

2. 5  

3. 0.416666667

4.0

1. 2
2. -2
3. -12
4. 12

Your friend says that there are 36 feet in 12 yards. Is your friend correct? Explain your reasoning?

Answers

Answer:

Your friend is correct.

Step-by-step explanation:

3 feet - 1 yard

36 / 12 = 3

Lucy rides her bicycles 240 feet. A wheel of her bicycle turns 40 times as the bicycle travels this distance. What is the diameter of the wheel?

Answers

5 okiiieeeeere hope this helps

Three concert tickets cost $27. At this rate, what is the cost per ticket?

Answers

Hello.

To find this, divide the cost per amount.

In this case, the cost of the tickets is $27, and the amount is 3.

Divide 27 by 3.

27 / 3 = 9

Each ticket costs $9.

Answer:

$9 per ticket

Step-by-step explanation:

all you do is divide 27 by 3 and get 9

given: 2c=d-2b, c=a-b, d=a+b prove: a=b

Answers

Answer:

D

Step-by-step explanation:

Find the degree measure of the angle with the given radian measure. (Round your answer to one decimal place.)

Answers

Answer:

108 degrees

Step-by-step explanation:

Since we are not given the radian measure. Let the radian measure be 3π/5 rad;

Using the conversion;

πrad = 180°

3π/5 rad = x

Cross mulriply;

π * x = 180 * 3π/5

x =  180 * 3/5

x = 36 * 3

x = 108 degrees

Hence the degree measure is 108 degrees

Note that the same conversion can be used to convert other values in radians

PLEASE HELP ME!
100 POINTS!
A cylinder has a volume of 20x®y4 units cubed. If the base of the cylinder has an area of
5x"y2 units squared, which of the following expressions represent the height of the cylinder?
(Hint: V = Bh)
O 100x®y
O 15wy?
o 4x®y?
O 4xy?

Answers

Answer:

100xy

Step-by-step explanation:

The height of the cylinder is 4x³y² unit.

The correct option is A.

What is a cylinder?

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

Given:

A cylinder has a volume of 20x⁶y⁴ units cubed.

The base of the cylinder has an area of 5x³y² units squared.

And the volume of the cylinder V = Base area x height.

So, 20x⁶y⁴ = 5x³y² (height).

The height of the cylinder = 20x⁶y⁴/ 5x³y²

The height of the cylinder = 4x³y²

Therefore,  4x³y² is the height of the cylinder.

To learn more about the cylinder;

https://brainly.com/question/16134180

#SPJ5

The complete question is given in the attached image.

Find the distance from San Antonio to El Paso.


633 mi


344 mi


558 mi


261 mi

Answers

Answer:

558

Step-by-step explanation: I just took the quiz!

Distance from San Antonio to El Paso in Miles is 558 miles

Find:

Distance from San Antonio to El Paso in Miles

Computation:

We know that

Distance from San Antonio to El Paso is 888 km

So,

1 km = 0.621371 miles

Distance from San Antonio to El Paso = 888 × 0.621371

Distance from San Antonio to El Paso in Miles = 558 miles

Learn more:

https://brainly.com/question/19679508?referrer=searchResults

4/ PLEASE HELP ME ON THIS. ASAP

Answers

Answer: a,b,d,e are all right beacuse they all relate to the question

Step-by-step explanation:

c how ever is no shown on the graph and is therefor wrong

please answer to the above question​

Answers

Answer:

b

Step-by-step explanation:

I did this assignment and got the highest grade

bölenin 8,bölümün 68 olduğu bir bölme işleminde bölünen sayı en fazla kaç olur​

Answers

Cevap:

68 bölü 8, bundan çıkardığım şey, yanılıyorsam cevabımı sil. Ancak 68 bölü 8 = 8,5

6. Lars walks his dog 4 times farther than Michelle
walks her dog. Michelle walks her dog 0.23 mile.
How far does Lars walk his dog?

Answers

Answer:

0.92

Step-by-step explanation:

The population of a city is estimated to decline according to the model P(t)=197000e^-0.014t, where t is the number of years present. What does the model predict the population will be in 13 years?

Answers

N nxhdhshsjshfjfjrjr

14) The value of y varies directly with x, and y = 3.6 when x = 6. Find y when x= 48.
Please and thank you. I needed now. Please help

Answers

Answer: y = 28.8

Step-by-step explanation:

By using ratios

if the values vary with each other, then they will increase the same amount. 6x8 is 48. So 3.6 x 8 is your answer, 28.8

Find the inverse: f(x) = -3 -4/3 x

Answers

Answer:

3+4/3x

Step-by-step explanation:

Write an expression to represent a number plus 4.

Answers

Answer:

n + 4

Step-by-step explanation:

n represent the number we are adding to 4 obviously

And 4 is 4 obviously

Hope this helps!

t-4 . that's so easy !

i need help with this question please

Answers

Answer: it C

Step-by-step explanation: if it not incorrect sorry for the wrong answer

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