What is the slope of the line that passes through the points (-10, 8) and
(-15, – 7)? Write your answer in simplest form.

Answers

Answer 1

Answer:

[tex]slope=3[/tex]

Step-by-step explanation:

Use the following equation the find the slope:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}[/tex]

Rise over run is the change in the y-axis over the change in the x-axis from one point to the other. This is also known as the "slope". Insert the known values:

[tex](-10_{x1},8_{y1})\\\\(-15_{x2},-7_{y2})\\\\\\\frac{-7-8}{-15-(-10)}\\\\\frac{-7-8}{-15+10}[/tex]

Solve:

[tex]\frac{-7-8}{-15+10}=\frac{-15}{-5}[/tex]

Simplify. Two negatives make a positive:

[tex]\frac{-15}{-5}=\frac{15}{5}[/tex]

Simplify fraction by dividing top and bottom by 5:

[tex]\frac{15}{5}=\frac{3}{1} =3[/tex]

The slope is 3.

:Done

Answer 2

The slope of the line that passes through the points (-10, 8) and  (-15, -7) is 3 and thsi can be determined by using the point-slope formula.

Given :

The line that passes through the points (-10, 8) and  (-15, -7).

The following steps can be used in order to determine the slope of the line that passes through the points (-10, 8) and  (-15, -7):

Step 1 - The slope formula when two points are given is:

[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope and [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.

Step 2 - Substitute the known terms in the above formula.

[tex]\rm m = \dfrac{-7-8}{-15+10}[/tex]

Step 3 - Simplify the above expression.

[tex]\rm m = \dfrac{15}{5}[/tex]

m = 3

For more information, refer to the link given below:

https://brainly.com/question/2514839


Related Questions

How would you write The difference of 9 and the square of a number

Answers

Answer:

9 - n^2

Step-by-step explanation:

Answer: 9-x^2

Step-by-step explanation:

no work needed

HELP HELP HELP Sally can paint a room in 4 hours. Joe can paint a room in 6 hours. How
long will it take if they paint the room together? I’m not sure if it’s 1.4

Answers

Answer:

2 hrs, 24 min

Step-by-step explanation:

Sally:  in one hour, she can paint 1/4 of the room.

Joe: in one our, he can paint 1/6 of the room

Hour one: 1/4+1/6=3/12+2/12=5/12

1÷5/12=1*12/5=12/5

12/5= 2 & 2/5 hours, or 2.4 hours, or 2 hrs 24 minutes

Answer: 2.4 hours

Step-by-step explanation:

1/4 1/6

LCM

3/12+2/12=5/12 repricical 12/5 =2.4

zero of the zero polynomial is​

Answers

Answer: zero of the zero polynomial is additive identity where all the coefficients including constant are zero.

hope you understand. Pls make me in brainliest

Step-by-step explanation:

Answer:

A zero polynomial is a a constant polynomial, whose coefficients all equal 0. There are an infinite number of 0's in a zero polynomial. Any value of x can be a zero of a zero polynomial, which is why there are an infinite number of 0's in a zero polynomial.

Step-by-step explanation:

I need help in this question

Answers

Answer:

C. 12/15

Step-by-step explanation:

2/3, 6/9, and 18/27 all simplify to 2/3. 12/15 does not.

Answer:

C. 12/15

Step-by-step explanation:

As it is mentioned above, the below text is the explanation, if you were here for the answer, it is above.

The question is asking which ratio is not equivalent. To simplify a ratio, divide all of the numbers in the ratio by the same number until they cannot be divided anymore.

So when we look at A. we see that you can not simplify 2/3 anymore. Hence:

A (simplified version): 2/3

When we look at B. we see that the ratio, or fraction, is 6/9. The numerator, or the top number, is 6, while the denominator (the number on the bottom), is 9. The GCF (The greatest common factor, or GCF, is a term used to describe the biggest number that can divide evenly into two or more numbers. Sometimes, this is also referred to as the greatest common divisor, GCD, or highest common factor, or HCF. A factor is a smaller number that can divide evenly into that number) of 6 and 9 is 3. So we divide the numerator and the denominator (both) by 3 to get to 2/3. Hence:

B (simplified version): 2/3

Now, when we look at C. we see that the ratio is 12/15. What is the GCF of 12/15? The GCF is 3. So we divide the numerator and the denominator by 3 to get:

C (simplified version): 4/5

Moving on to D. Let's make it quick. The ratio is 18/27. The GCF is 9. So we divide the numerator and the denominator by 9 to get::

D (simplified version): 2/3

If:

A (simplified version): 2/3

B (simplified version): 2/3

C (simplified version): 4/5

D (simplified version): 2/3

The one fraction that is not equivalent? I'll let you figure that out for yourself!

Hope I was able to help zahrahimran1 (and anyone else)! Have a nice rest of the day!

PlZ HELP NOW ASAP!!!

Answers

Answer:

x=33

Step-by-step explanation:

x for ?

sinx=opposite/hypotenuse

sinx=162.5/298=0.54530201

convert to degrees using arcsin(0.54530201)= 33.043

33 degrees rounded to the nearest ones

what is mathematics let's check your mind who know this I will give 10 on a​

Answers

Answer:

Mathematics includes the study of such topics as quantity, structure, space, and change; It has no generally accepted definition.

Step-by-step explanation:

Answer:

Mathematics is like the study of numbers and relationships I guess.

Step-by-step explanation:

All branches of math seems to use relationships or numbers, whether it be ratios for Algebra, geometry stuff like SinCosSine and Tangent.

Basic Arthimetics seems to use ratios when counting, or patterns, ect.


What is the volume of the cylinder?
5767 cm3
2887 cm3
967 cm3
1921 cm3

Answers

Calculate the area of the base circle: pigreco • r^2 = 3,14 • (6)^2 = 3.14 • 36 = 113 cm2
Now you have to moltiplicate to the high, so: 113 • 16 = 1808 cm3

Solve the equation for x.
5x - ( 4x - 1) = 2
1
a.
C.
1
9
bi
b. - 1
d.
1

Answers

Answer:

x = 1

Step-by-step explanation:

5x - (4x - 1) = 2

Let's get rid of the parenthesis

Multiply whatever is in the parenthesis by -1 since there is a minus sign before it

5x - 4x + 1 = 2

Move common terms to one side, so subtract 1 from both sides

5x - 4x + 1 = 2

           -  1  - 1

5x - 4x = 1

Subtract the 5x by 4x

x = 1

Answer:

x = 1

Step-by-step explanation:

5x - (4x - 1) = 2

5x - 4x + 1 = 2  {Distribute property  (-1) is distributed with 4x  and (-1)}

Combine like terms

x + 1 = 2

Subtract 1 from both sides

x = 2 - 1

x = 1

Simplify: 5^(x+2)-4×5^x÷21×5^x​

Answers

Answer:

(1/21)(21×5^(x+2)-4×5^2x)

Step-by-step explanation:

5^(x+2)-4×5^x÷21×5^x

= 5^(x+2)-4×5^2x/21

= 1/21(21×5^(x+2)-4×5^2x)

If f(x) = 2(x − 5), find f(8). 4 6 8 16

Answers

Answer:

f(8) = 6

Step-by-step explanation:

Plug in 8 as x in the function:

f(x) = 2(x − 5)

f(8) = 2(8 - 5)

f(8) = 2(3)

f(8) = 6

Answer:

[tex]\large \boxed{\mathrm{6}}[/tex]

Step-by-step explanation:

[tex]f(x)=2(x-5)[/tex]

Replace x with 8 to find f(8).

[tex]f(8)=2(8-5)[/tex]

Evaluate.

[tex]f(8)=2(3)[/tex]

[tex]f(8)=6[/tex]

Boston wheel chair marathon how long would it take to run a 30 mile race

Answers

G all please come to mpu-xcny-did

I'm really confused with this plz help

Answers

Answer:

4 terms

constant 10

third term is -7z

coefficient of the second term is 3

Step-by-step explanation:

-5x+3y -7z +10

There are 4 terms, -5x, 3y ,-7x, 10

The constant is the term without the variable ( letter)

The constant is 10

The third term is -7z

The coefficient is the number in front of the variable

The coefficient of the second term 3y is 3

For part a, we are asked how many terms does this expression have.

Well a term can be a number, a variable, or it can

even be a number times one or more variables.

So the terms would be -5x, +3y, -7z, and +10.

For part b, we are asked what is the constant.

Usually, constants are numbers all by themselves.

So here, the constant would be 10.

In part c, we are asked what is the third term.

Well, looking at the expression, we can see that -7z is the third term.

Finally, what is the coefficient of the second term.

The coefficient is the number before your variable.

So here, the coefficient would be 3.

The Cartesian coordinate system can be applied to three-dimensional solids. Instead of two axes, the coordinate system has three. What are the labels? Check all that apply.
A. z
B. y
C. a
D. x
E. w

Answers

Answer:

its z y and x

Step-by-step explanation:

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The cost of milk is modeled by a linear equation where four quarts (one gallon) costs $3.09 while two quarts
(half-gallon) costs $1.65. Write the linear equation that expresses the price in terms of quarts. How much would
an eight-quart container of milk cost?

Answers

Answer:

linear equation to express the price is:

y=0.72x+0.21

An eight quarts will cost :  $5.97

Step-by-step explanation:

linear equation represent y=mx+b

let x=quarts ( x=4, x=2)

y= price (3.09 and y=1.65 )

two points (4,3.09) and (2,1.65)

need to find the slope m:

y2-y1/x2-x1

(1.65-3.09)/(2-4) ⇒ m=0.72

y=0.72x+b  find b at point (2,1.65)

1.65=0.72(2) +b  ⇒ b=0.21

y=0.72x +0.21

check : point (4,3.09)

y=0.72(4) +0.21

y=3.09  ( correct)

An eight quarts will cost :

y=0.72(8)+0.21

y=5.97 dollars

Find the value of f(2).
y = f(x)

Answers

Answer:

2

Step-by-step explanation:

Looking at the graph, it is 2.

if the morning temperature started at -7 celsius but warmed during the day to 24 celsius . What is the temperature change

Answers

Answer:

31° change

Step-by-step explanation:

If we want to find the change between two numbers, we need to imagine it like a number line.

<-------------0------------->

Let's plot -7 and 24 on this number line.

<----------[tex]-7[/tex]--0------------24>

If we want to get from -7 to 0, we increase by 7. To get from 0 to 24, we increase by 24.

So the total change is [tex]7 + 24 = 31[/tex].

Hope this helped!

Which graph represents the given equation?
y
=
NICO
+ 4r – 2

Answers

Equations can be represented on graphs by plotting the corresponding x and y values. The graph of [tex]y = \frac{3}{2}x^2 + 4x - 2[/tex] is option (B).

Given that:

[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]

First, we check the y intercept of [tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]

This is when [tex]x = 0[/tex]

So, we have:

[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]

[tex]y = \frac{3}{2} \times 0^2 + 4\times 0 - 2[/tex]

[tex]y = - 2[/tex]

This point is represented as: [tex](0,-2)[/tex]

Next, check the equation when [tex]x = 1[/tex]

So, we have:

[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]

[tex]y = \frac{3}{2} \times 1^2 + 4\times 1 - 2[/tex]

[tex]y = 3.5[/tex]

This point is represented as: [tex](1,3.5)[/tex]

From the list of given options (see attachment).

Only graph B has the [tex](0,-2)[/tex] and [tex](1,3.5)[/tex] on its curve.

Hence, option (B) is correct.

Read more about equation of graphs at:

https://brainly.com/question/1971145

Answer:

Equations can be represented on graphs by plotting the corresponding x and y values. The graph of is option (B).

Step-by-step explanation:

y intercept is -2y = 3/2x^2 + 4x – 2y = 3/2(0^2) + 4(0) – 2 = -2and x intercepts are0 = 3/2x^2 + 4x – 2aboutx =  0.43050087, -3.09716754

HELP IM BEING TIMED!!

Answers

Answer:

Value of x is 8

Step-by-step explanation:

Given:

[tex]\sqrt{\frac{896z^{15}}{225z^6} }=\frac{xz^4}{15} \sqrt{14z}\\\\Computation: \\\\From\ squaring\ both\ side\\\\ {\frac{896z^{15}}{225z^6} }=\frac{x^2z^8}{225} ({14z})\\\\896z^9=14x^2z^9\\\\896=14x^2\\\\64=x^2\\\\x = 8[/tex]

So, Value of x is 8

Determine the intercepts of the line.
y= 10x - 32
y-intercept:
x-intercept:

Answers

Answer:

see below

Step-by-step explanation:

To find the x intercept set y =0 and solve for x

0= 10x - 32

32 = 10x

Divide by 10

3.2 = x

The x intercept

( 3.2,0)

To find the y intercept set x =0 and solve for y

y= 0 - 32

y = -32

( 0, -32)

Answer:

(0, -32)

(3.2, 0)

Step-by-step explanation:

The line is in slope intercept form. It is easy to identify the y-intercept.

[tex]y=mx+b[/tex]

The y-intercept is (0,-32). '-32' replaces the 'b' in the equation.

To find the x-intercept, set the value of 'y' to zero and solve for 'x'.

[tex]0=10x-32\\\\0 + 32 = 10x-32+32\\\\32=10x\\\\\frac{32}{10}=\frac{10x}{10}\\\\\frac{32}{10}=x\\\\\rightarrow \frac{32/2}{10/2}=\frac{16}{5}\\\\ \boxed{x=\frac{16}{5}}[/tex]

The x intercept is (16/5, 0).

This can also be expressed as (3.2, 0).

Hope this helps.

What is the perimeter (in centimeters) of a rectangle with length 4.5 cm and width 8.2 cm

Answers

Answer:

25.4 cm

Step-by-step explanation:

will make it simple and short

2*b + 2*h

2*4.5 + 2*8.2 = 25.4 cm

Hey there! I'm happy to help!

The perimeter is the distance around the rectangle.

In a rectangle, there are two pairs of opposite sides, and those opposite sides are equal. They are known as the length and the width.

In a rectangle, you have two sides that have the same length and two that have the same width. If you add these all up, you get the perimeter.

If our length is L and our width is W, we can write this equation.

P=2L+2W

So, we can plug in our lengths and widths to find the perimeter!

P=2(4.5)+2(8.2)

P=9+16.4

P=25.4

Therefore, our perimeter is 25.4 cm.

Have a wonderful day! Feel free to message me if you have any questions! :D

Theorem 8.9 : The line segment joining the mid-points of two sides of a triangle is parallel to the third side.
prove this theorem

Answers

Answer:

The essence of Mathematics lies in its freedom

I need help. What is (-5/3)²

Answers

Answer:

Exact form:

25/9

Decimal form:

2.(7)

Mixed fraction form:

2 7/9

Step-by-step explanation:

Hope you found this helpful

Answer:

(-5/3)² = 25/9

Step-by-step explanation:

(a/b)ⁿ = aⁿ / bⁿ

(-5/3)² = -5² / 3² = 25 / 9

help me please I need
[tex] {x}^{2} + 2x + 6 \\ {x}^{2} + 4x + 2[/tex]

Answers

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION..

hey, can i please get your intro? would you like to be my friend?

Myself Ojasvi

Class 8, 13

India

Answer ASAP
Given that the point X(3, -2) is rotated 90° counterclockwise about the point (-1, 4).
What are the coordinates of X', the image of X? (1 point) *
1) X'(5,8)
2) X'(-7, 8)
3) X'(4,1)
4) X'(-2, -3)

Answers

Answer:

4) x -2,-3 hope it helps to you

4, you can graph it or do the math by taking the differences of the x and y values and swapping them

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Okay follow these patterns and you will always get your answer

Cone = (13)πr2h, where r is the radius and h is the height.

Cube = s2, where s is the length of the side.

Cylinder = πr2h, where r is the radius and h is the height.

Rectangular prism= l×w×h, where l is the length, w is the width and h is the height.

Sphere = (43)πr3, where r is the radius.

ANSWER: (D) 904.78 cm^3

Approximate 0.007349 to 3 significant figures​

Answers

Answer:

Hey there!

That would result in 0.00735.

Let me know if this helps :)

Hence, the significant figures are [tex]0.00735.[/tex]

What is the approximation?

An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding. A calculation can be approximated by rounding the values within it before performing the operations.

Here given that,

Approximate [tex]0.007349[/tex] to  significant figures​

So, the significant figures are [tex]0.00735.[/tex]

Hence, the significant figures are [tex]0.00735.[/tex]

To know more about the approximation

https://brainly.com/question/29580932

#SPJ2

LAST QUESTION TO MY SUMMER HOMEWORK PLEASE HELP 'BRAINLIEST i will give 25 POINTS at ONCE also its a simple question please answer it quickly I thank you very much and will answer a non math question if you would like.

Answers

Answer:

Step-by-step explanation:

here,

132 degree + 54 degree + x + 90 degree = 360 degree ( angles around a point)

therefore ,

x+ 276 degree =360 degree

x = 360-276

x= 84 degree

hope it helps and pls do mark my answer as the brainliest.............

The chance of Jake winning a 100m race is 3/5. What is the probability of him losing the same race​?

Answers

Answer:

2/5 (because the chance winning the race is 3/5 and the remaining is 3/5 when we add 3/5 , 2/5 the answere is 5/5 when we subtract 3/5 from 5/5 the answere is 2/5

In the expression 3v - 8, what is the variable a= V b= - c= 3 d= 8

Answers

Answer:

a. v

Step-by-step explanation:

Given

[tex]3v - 8[/tex]

Required

Identify the variable

Literary, variable means things that change in values;

Going by this definition, we have that:

3 -> This is not a variable because its value will always be 3

v -> This is a variable because its value can change once its value changes, the result of the expression will also change

- -> This is not a variable; it is an arithmetic operator to subtract

8 -> This is not a variable because its value will always be 8

Take for instance

[tex]v = 2[/tex]

[tex]3v - 8 = 3 * 2 - 8 = 6 - 8 = -2[/tex]

When [tex]v =5[/tex]

[tex]3v - 8 = 3 * 5 - 8 = 15 - 8 = 7[/tex]

Notice that there's a difference in both results;

This is as a result of v being a variable

Using the Distributive Property to factorize the equation 3x2 + 24x = 0, you get

Answers

Answer:

3x(x+8)=0

x=0,-8

This is how to solve for x.

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