Mathematics College

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

Earl runs 50 meters in 20 seconds. How many meters does Earl run per second?

Answers

Answer:

2.5 meters

Step-by-step explanation:

Answer:

Earl can run 2.5 meters in one second.

Step-by-step explanation:

We know that Earl can run 50 meters in 20 seconds. That means he can run 150 meters in one minute and 9,000 meters (or 9 kilometers) in one hour. 50 meters / 20 seconds = ? meters / 1 second

50 meters / 20 seconds = x / 1 second

(50 x 1) = (20) (x)

50 = 20x divide both sides by 20 to get the "x" alone

50 / 20 = x

2.5 = x

The circulation of a newsletter decreased from 3,200 to 2,400. What was the percent of the decrease in circulation?

Answers

Answer:

75%

Step-by-step explanation:

Complete the pattern. 1, 2, 4, 8, 16, __, __, __

Answers

Answer:

1,2,4,8,16,32,64,128

Step-by-step explanation:

You just multiply the number by two to get the next number in the pattern

What is the ideal number of children to have in a family? The following data represent the ideal number of children for a random sample of 900 adult Americans. ​

Answers

Answer:

4

Step-by-step explanation:

In most modern family’s they usually have 4 or 2

Tell whether the function shown by the table below is linear or nonlinear.
X
y
0
-3
1
2.
2.
7.
3
12.
4
17
D
A linear
B.
nonlinear

Answers

It’s number 5 b your welcome

A line includes the points (-15, 5) and (-12, 5). What is its equation in slope-intercept form?
form

Answers

Answer:

y=5

Step-by-step explanation:

y=mx+b is slope intercept form

(x + 1)^2 -8 (x-1 +16)

Answers

Answer: x2−6x−119

Step-by-step explanation:

provided in the screenshot below

interact if u in k12

Answers

Answer:

im in k12, hello and how are you on this fine day? :D

Step-by-step explanation:

Answer:

asdfghjkl

Step-by-step explanation:

Jason and his twin brother, Seth, are painting the walls in their bedroom. It took Jason 50 minutes to paint a 160-square-foot wall. It took Seth 30 minutes to paint a 120-square-foot wall. Who painted faster?

Answers

Answer:

Jason

Step-by-step explanation:

Answer:

It's Seth

Step-by-step explanation:

ldentify the location of the values used to create a box
plot.

A=
B=
C=
D=
E=

Answers

A minimum
B Q1 ( first quartile )
C Median
D Q3 ( third quartile)
E maximum

I hoped that helped.

Answer:

A minimum

B Q1 ( first quartile )

C Median

D Q3 ( third quartile)

E maximum

Step-by-step explanation:

HOPED THIS HELPED YOU OUT! AND TO EVERYONE THAT NEEDS THE HELP WITH THIS QUESTION

have a GOD-LIKE day

please help me pplease

Answers

Answer:

B)

Step-by-step explanation:

its b because it doesnt have to turn to slow down

Please help me asap please
Which functions are even? Check all of the boxes that apply.
f(x) = x2 – 3x + 2
7x) = -2)
f(x) = |x|

Answers

Answer:

C) f(x) = |x|

Step-by-step explanation:

Determine if Odd, Even, or Neither

         f (x) = |x|

Find f (−x) by substituting −x for all occurrence of x in f (x). f(−x) = |−x|

Make −x positive.

        f(−x) = |x|

A function is even if  f(−x) = f(x).

Check if  f(−x) = f(x).

        |x| = |x|

Since |x| = |x|, the function is even.

The distance between two cities on a map is 4.125 inches.
Find the actual distance if the scale on the map is 2=inches
40 miles.

A. 41.25

B 50

C 82.5

D 165

Answers

Answer:

This is really easy it's D

Step-by-step explanation:

Answer:

It's C: 82.5

Step-by-step explanation:

Interest on $5,255 at 12 percent for 30 days (use 360 days) is:​

Answers

Answer:

$52.55

Step-by-step explanation:

I=(5255×12×30/360)/100

I=(5255×12×1/12)/100

I=5255/100=52.55

Can you help please?

(4x + 3) - (5x-7)

Answers

Answer:   -x + 10

===============================

Work Shown:

(4x+3) - (5x-7)

4x+3 - 5x+7 ..... distribute the negative

(4x-5x) + (3+7)

-x + 10

Answer:

(4x +3) - (5x - 7) (distribute the - sign through the second expression and drop the parenthesis)

4x +3 -5x +7 (combine like terms. subtract 5x from 4x and add 3 and 7)

-x +10  (this is your answer)

Step-by-step explanation:

Which is greater 0.691 or 3.5

Answers

Answer:

3.5 is greater

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

it is known as common sense

A baker sells bread for $3 a loaf and rolls for $1 each. The baker needs to sell $12 worth of baked goods by
the end of the day.
Use the graph to approximate how many loaves of bread the baker must sell if 6 rolls are sold, where b is
the number of loaves of bread and r is the number of rolls.

Answers

Answer:

2 loaves of bread

Step-by-step explanation:

3b + r = 12

3b + 6 = 12

b = 2

Answer:

2

Step-by-step explanation:

What is slope of the equation? 7x -2y = -10

Answers

Answer:

m = 7/2

Step-by-step explanation:

Brainliest Please!!?!!!!

Answer:

m=7/2

Step-by-step explanation:

Find the value of 2x+y when x=4 and y3

Answers

Answer:

11

Step-by-step explanation:

Replace the values of x and y into the equation.

2(4) + 3 = 8 + 3

            = 11

Here’s your answer it’s gonna be 11!!

A truck travels from a factory to a gas station in 2 minutes. It stops at the gas station for 5 minutes. The truck then returns to the factory in 3 minutes, which graph best rep
distance, y, in miles, of the truck from the factory after a certain amount of time, x, in minutes? (5 points)
Factory
Trucks
Die
SAVE & EXIT
SUBMIT ALL ANSWERS
08:27

Answers

Answer:

y is the question -distance, y, in miles, of the truck from the factory after a certain amount of time, x, in minutes?-  witch is what we are figuring out

Step-by-step explanation:

11. The cost of shipping a package varies directly with the weight of the package. A 5
pound package costs $3.40 to ship. What would be the price of a package that weighs
1
12
pounds?
2
TAAR
x+b
+/-
*
med

Answers

Answer:

76.16

Step-by-step explanation:

5/3.40  =  112/x:

first combine like terms, which gives you

5x  =  3.40 × 112

next multiply 3.40 by 112 (simplifying) so you get

5x  =  380.8

last you divide 380.8 by 5x getting your answer of $76.16

hope this helped! :)

If a rectangle has the sides 5x-3 and 6x-4 what is the area and perimeter

Answers

Step-by-step explanation:

[tex]A = lw[/tex]

[tex]A=(5x-3)(6x-4)[/tex]

[tex]A=30x^2-20x-18x+12[/tex]

[tex]A=30^2-28x+12[/tex]

[tex]P=2(l + w)[/tex]

[tex]P = 2(5x - 3 + 6x - 4)\\P=2(x-7)\\P=2x-14[/tex]

Answer:

[tex]Perimeter = 22x - 14[/tex]

[tex]Area = 30 {x}^{2} - 38x + 12[/tex]

Step-by-step explanation:

Length of rectangle (l) = 5x - 3

Weidth of rectangle (w) = 6x - 4

Perimeter of the rectangle = [tex]2(l + w)[/tex]

[tex] = > 2(5x - 3 + 6x - 4)[/tex]

[tex] = > 2(11x - 7)[/tex]

[tex] = > 22x - 14[/tex]

Area of the rectangle = [tex]l \times w[/tex]

[tex] = > (5x - 3)(6x - 4)[/tex]

[tex] = > 5x(6x - 4) - 3(6x -4)[/tex]

[tex] = > 30 {x}^{2} - 20x - 18x + 12[/tex]

[tex] = > 30 {x}^{2} - 38x + 12[/tex]

Does anyone know how to solve this ratio?

Answers

Answer:

The answer to this question is 11:3

A map is made of a park. The scale from the park to the map is 36 mi to 9 cm. The length of Great Oaks Trail is 3 cm on this map. What is the actual length of the Great Oaks Trail?

Answers

Answer:

yes rhudurueufuurehhehduruejjdjdif

Answer:

11 miles

Step-by-step explanation:

3 centimeters is 1/3 of 9 centimeters so whatever you do to that you do the other number, so you divide 36 by 3 which is 11

Write the slope-intercept equation for the graph.

Answers

Answer:

y = 1/2(x) -1

Answer:

y = 2x-1

Step-by-step explanation:

I'm pretty sure this is the answer! I hope this helps! Stay safe! :D

What is 5j + 3m - 2j - j2 - 8 + 3??

Answers

Subtract 2j from 5j

3j+3m-j2-8+3

Simplify the expression

Add -8 and 3

3j+3m-j^2-5

Move 3j

3m-j^2+3j-5

Reorder 3m and -j^2

-j^2+3m+3j-5


Laura can finish payroll in 3
hours. It takes Ben 5 hours
to do the same job. If they
work together, how long
should it take them?
hours

Answers

Answer:

1/2

Step-by-step explanation:

First we divide 3 and 5, which gives us 0.6, then we use the LA Hypothalamus formula which is x2, so then we substitute the x with 0.6, 0.6 multiplied by 2 is 1.2, so then we transform it to a fraction, your welcome

Answer:

15/8

Step-by-step explanation:

QUESTION 2
Solve the equation for exact solutions.
arccos x + arccos 2x = arccos
1/2

Answers

The third one is the correct answer

X+23
2x-17
What is the value of x?

Answers

Answer:

a value

Step-by-step explanation:

Answer:

Simplifying

4x + -23 = 2x + 17

Reorder the terms:

-23 + 4x = 2x + 17

Reorder the terms:

-23 + 4x = 17 + 2x

Solving

-23 + 4x = 17 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-23 + 4x + -2x = 17 + 2x + -2x

Combine like terms: 4x + -2x = 2x

-23 + 2x = 17 + 2x + -2x

Combine like terms: 2x + -2x = 0

-23 + 2x = 17 + 0

-23 + 2x = 17

Add '23' to each side of the equation.

-23 + 23 + 2x = 17 + 23

Combine like terms: -23 + 23 = 0

0 + 2x = 17 + 23

2x = 17 + 23

Combine like terms: 17 + 23 = 40

2x = 40

Divide each side by '2'.

x = 20

Simplifying

x = 20

Step-by-step explanation:

Find the median: In a particular year, approximately 1.7 million people took the mathematics section of a college achievement test. Of these, 44% scored less than 490, 45% scored less than 500, 48% scored less than 510, 51% scored less than 520, and 57% scored less than 530. In what interval is the median score? The median score is in the interval â–¼(Choose one).

Answers

Answer:

the median score would be between 510 and 520

Step-by-step explanation:

The computation of the median score is shown below

In the case of the continuous probability distribution, the median value is the mid value in which the number is equal to fall to above or below it

Here

P(X = median) = 0.5 = 50%

So the median score would be between 510 and 520

Hence, the same is to be considered

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