a. Find the slope of the line that passes through these points.

The slope is
(Type an integer or a simplified fraction.)

b. Is the slope between (1,4) And (3,12) the same as the slope between (3,12) and (4,16)?
Explain.


O A. Yes. Both slopes are equal to
(Type an integer or a simplified fraction.)

O B. No. The slope between (1,4) and (3,12) is equal to (4,16)

. The slope between (3,12) and
th

A. Find The Slope Of The Line That Passes Through These Points.The Slope Is(Type An Integer Or A Simplified

Answers

Answer 1

slope formula :  [tex]\bold{ \sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

a.                          coordinates : (3,12) and (4,16)

[tex]\sf \rightarrow \dfrac{16-12}{4-3}[/tex]

[tex]\sf \rightarrow \dfrac{4}{1}[/tex]

[tex]\sf \rightarrow 4[/tex]

b.                          coordinates : (1,4) and (3,12)

[tex]\sf \rightarrow \dfrac{12-4}{3-1}[/tex]

[tex]\sf \rightarrow \dfrac{8}{2}[/tex]

[tex]\sf \rightarrow 4[/tex]

⇒ A. Yes. Both slopes are equal to 4


Related Questions

Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular box with the dimensions shown below. He's trying to figure out how much gift wrap he needs to cover the entire box. Should he calculate the total surface area or the lateral surface area? Pick the right measurement and then calculate it for him.

In your answer, specify whether he should use total surface area or lateral surface area. Calculate the one you choose, give that measurement of the box, and then explain how you calculated it.

Answers

The surface area of the box is 1048 square inches

How to calculate the total surface area of the box

The formula for calculating the surface area of the prism is expressed as:

Surface area = 2(lw + wh +lh)

Given the following

l = 20in

w = 8in

h = 13in

Substitute the given parameters'

Surface area = 2(lw + wh +lh)

Surface area = 2(20(8) + 8(13) +20(13))

Surface area = 2(160+104+260)

Surface area = 1048 square inches

Hence surface area of the box is 1048 square inches

Learn more on surface area of box here: https://brainly.com/question/26161002

If 5^2x = 1, what is the value of 'x' ?​

Answers

Answer:

x = 0

Step-by-step explanation:

5^0 is 1, meaning that x must equal to 0 for the answer to be 5^0.

X = 0.04 because 5^2 (0) = 0 not 1

let f(x)=3x+4 and g(x)=2x-5 find (f-g)(x)

Answers

Step-by-step explanation:

find; (f-g)(x)

(f(x) - g(x))

f(x) = 3x + 4, g(x) = 2x - 5

3x + 4 - 2x + 5

x +9

Bobby has 58 of a pepperoni pizza in his refrigerator. He eats 14 of this for his lunch. Of the following, which is the best estimate of the fraction of the original pizza left after Bob's lunch?

Answers

Answer:

5/32

Step-by-step explanation:

Charmaine got a prepaid debit card with $15 on it. for her first purchase with the card, she bought some bulk ribbon at a craft store. the price of the ribbon was 21 cents per yard. if after that purchase there was $12.27 left on the card, how many yards of ribbon did charmaine buy?

Answers

Answer:

15- 12.27 = 2.73

2.73 is how much she spent on the ribbon.

2.73/ 0.21 = 13

She purchased 13 yards.

Dont undersrand this at allll...

Answers

Answer:

2.3 2 1/3

Step-by-step explanation: you add up all the bikes then divide them by 3 because that's the number of people

2.3 is your answer, you have to do the equation

The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5:2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?​

Answers

Answer:

70 dolls

Step-by-step explanation:

Hello!

The ratio is 5:2, which are division of  a whole. They can be represented as 5x and 2x.

Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.

Equation:

5x - 15 = 2x + 15

Solve:

5x - 15 = 2x + 155x - 30 = 2x5x = 2x + 303x = 30x = 10

So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.

The total sum is 70 dolls.

Please help! will give brainlest! locks in 30 min!

Answers

Answer:

[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Simplify the expression:

sin [tex]\frac{3pi}{4}[/tex]

Rewrite the angle as a sum or difference with its reference angle:

sin (pi - [tex]\frac{pi}{4}[/tex])

Simplify the expression

(sin [tex]\frac{pi}{4}[/tex])

Evaluate the expression:

[tex]\frac{\sqrt{2} }{2}[/tex]

hope this helps and is right!! p.s. i really need brainliest :)

Simplify: 14-30/ 2 (- 4)

Thanks! :)

Answers

Answer:

The answer is 2

-16/-8=2

Determine the length of a chord whose central angle is 90 degrees in a circle with a radius of 15 inches

Answers

Answer:

14.6

Step-by-step explanation:

The box-and-whisker plot below represents some data set. What is the minimum value of the data?

Answers

Answer:

minimum value is: the left whisker

Step-by-step explanation:

box an whisker plot: left line is the minimum, first part of the box is Q1, where the box has a middle line it is called Median, the other end of the box is Q3, the right line is called the maximum whisker.

Hope this helps

Solve for area and perimeter in each of the following problems.

Answers

Answer:

1. perimeter =2(l+w)

                    =2(17+10)

                   = 54 yards

Are of the perimeter=l times b

                                =17 x 10

                                =170 yd square

Just follow this concept for all of them. It the same thing. Good Luck!!

Step-by-step explanation:

Jin's family took a road trip to Niagara Falls. Jin slept for the last 24 miles of the trip. If the total length of the trip was 400 miles, what percentage of the total trip had they travelled when Jin fell asleep?

Answers

Answer:

94%

Step-by-step explanation:

400-24=376

Find 376 out of 400 as a decimal:

376/400 = 0.94

0.94x100 = 94%

PLEASE HELP!! Need by 3/29/22!
Find the area of these shapes

Answers

Answer:

Step-by-step explanation:

area of A=15*18=270 cm^2

area of B=15*18=270 cm^2

area of C=1/2 ×x×18=9x cm²

area of D=1/2×15×18=135 cm²

Find ℒ{f(t)} by first using a trigonometric identity. (write your answer as a function of s. ) f(t) = cos2(t)

Answers

The Laplace transform of f(t) = cos² t is equal to the following expression: [tex]\mathcal {L} \{\cos^{2} t\} = \frac{1}{2\cdot s} - \frac{s}{2\cdot (s^{2}+2)}[/tex].

How to determine the Laplace transform of a non-simple trigonometric expression

In this we need to rewrite the given function in terms of sines and cosines, whose Laplace transforms are well known. There is the following trigonometric formula:

[tex]\cos ^{2} t = \frac{1-\cos 2t}{2}[/tex]   (1)

Now we proceed to apply the Laplace transforms:

[tex]\mathcal {L} \{f(t)\} = \frac{1}{2}\cdot \mathcal {L} \left\{1 \right\}-\frac{1}{2}\cdot \mathcal {L}\left\{\cos 2t\right\}[/tex]

[tex]\mathcal {L} \{\cos^{2} t\} = \frac{1}{2\cdot s} - \frac{s}{2\cdot (s^{2}+2)}[/tex]

The Laplace transform of f(t) = cos² t is equal to the following expression: [tex]\mathcal {L} \{\cos^{2} t\} = \frac{1}{2\cdot s} - \frac{s}{2\cdot (s^{2}+2)}[/tex]. [tex]\blacksquare[/tex]

Remark

The statement is poorly formatted, the correct form is shown below:

Find [tex]\mathcal {L}\{f(t)\}[/tex] by first using a trigonometric expression. (Write your answer as a function of s). f(t) = cos² t

To learn more on Laplace transforms, we kindly invite to check this verified question: https://brainly.com/question/2088771

Jim rented a truck for one day. there was a base fee for $19.95 and there was an additional charge of 91 cents for each mile driven. Jim had to pay $243.81 when he returned the truck. For how many miles did he drive the truck?

Answers

First you’ll subtract the base fee, which is 19.95 from the price payed, 243.81

243.81
-19.95
223.86

Now take 223.86, your remainder and divide it by .91, you will get 246, meaning Jim traveled 246 miles.

Answer: Jim travelled 246 Miles.

Answer:

Jim travelled 246 Miles.

Step-by-step explanation:

Complete the table.
Milkshakes Cost

Answers

Answer:

811

Step-by-step explanation:

i d k

Helpppppp!!!
(Show work)

Answers

Answer:

Step-by-step explanation:

Write an equivalent expression to 16x + 20 using factoring.

Answers

Answer:

4(4x + 5)

Step-by-step explanation:

4 goes into both 16 and 20.

4×4 is 16 and

4×5 is 20.

When factoring you put the nunber you factored out typically, in front. Then the remaining factor goes in a set of parenthesis.

This is like undoing distributive property.

16x + 20

= 4(4x+5)

16x+20

Take 2 common

2(8x+10)

Again take two common

2(2(4x+5)

Simplify

4(4x+5)

Done

In the image below, why must triangle A'B'C be similar to ABC?

(Don't mind the chosen answer)

Answers

Answer: Option (3)

Step-by-step explanation:

You can get 2 pairs of corresponding angles from the parallel segments, meaning that they are similar by angle-angle.

gi i need help with this question if you can help me asap that whould be great​

Answers

It is 20 pluse 2 _hdjeihee

The first three terms of a geometric sequence are as follows.
-3, 15, -75
Find the next two terms of this sequence.
Give exact values (not decimal approximations).

Answers

Here the common ratio is -5

next terms will be 375 and -1875

What is the value of w in the equation 2(2w − 16) = 0?

Answers

Answer:

[tex]w=8[/tex]

Step-by-step explanation:

[tex]2(2w-16)=0\\4w-32=0\\4w=32\\w=8[/tex]

Answer:

w = 8

Step-by-step explanation:

2(2w − 16) = 0

Divide each side by 2

2w-16 = 0

Add 16 to each side

2w-16 +16 =0 +16

2w = 16

Divide each side by 2

2w/2 = 16/2

w = 8

Describe the correlation you would expect with these data sets.
(i) The height of a person and the speed at which they can run.
(ii) The age of a second car and its value.
(iii) Time spend watching TV and exam score
(iv) Height and income
(v) Sale of the apartment and high cost​

Answers

Answer:

(i) no correlation as one variable is not dependent on the other.

(ii)  The age of a car does affects its value.  Therefore, the age will be the independent variable (x-axis) and the value will be the dependent variable (y-axis).  Unless the car is a classic, sought-after car, as the age increases, its value decreases, so this will be a negative correlation.

(iii)  The time spent watching TV may affect exam score (since the more time spent watching TV equals less available time to spend studying).  Therefore, the time spent watching TV will be the independent variable (x-axis) and the exam score will be the dependent variable (y-axis).  As time spent watching TV increases, the exam score could potentially decrease, so this will be a negative correlation.

(iv)  no correlation, since one variable is not dependent on the other.

(v)  The cost of an apartment may affect its sale, but there are many factors that can affect this such as location of the apartment and the buyers it appeals to.  The cost will be the independent variable (x-axis) and the sale will be the dependent variable (y-axis).  In usual circumstances, we would expect to see as the cost of an apartment increases, the sale may decrease, as less and less buyers can afford to buy it, so this will be a negative correlation.

A square rug has an area of 256 square feet. What is the perimeter of the rug?

Answers

Answer:

64

Step-by-step explanation:

[tex]\sqrt{256}[/tex] = 16 (length of each side)

A square (rug) has 4 sides.

Add to find perimeter:

16 + 16 + 16 + 16

= 64

Answer: 8ft

Step-by-step explanation:

4A= 256

4A/4     =    256/4

A = 64

A = a²

64 = 4²

a² = 64

a = ±√64

a = ±8

∴a = ±8

Hence, the length of a side of each rug is 8ft.

On May 1, Anna purchased a new condo. She pays a monthly maintenance fee of $230. Her monthly property taxes equal 13.5% of the monthly fee. How much will Anna pay in property taxes for this calendar year?​

Answers

Answer:

$31.05

Step-by-step explanation:

You can get this answer by changing percent (13.5%) to just 13.5, or in other words, a decimal. you also change 230. to a decimal by by moving the decimal point two times to the left to get 2.30. You can then get your answer by multiplying the values together (2.30 x 13.5)

You have a cup of lemonade. Each ice cube has a length of 2 cm, a width of 1 1/4 cm and a height of 3 cm. What is the volume of one of the ice cubes? Show your steps and Explain how you used math to come to your decision.

Answers

volume : 7.5 cm²

volume of cube : length * width *  height

[tex]\hookrightarrow \sf Length \ * Width \ * \ Height[/tex]

[tex]\hookrightarrow \sf 2 \ * 1\dfrac{1}{4} \ * \ 3[/tex]

[tex]\hookrightarrow \sf 2 \ * \dfrac{5}{4} \ * \ 3[/tex]

[tex]\hookrightarrow \sf \dfrac{15}{2}[/tex]

[tex]\hookrightarrow \sf 7.5 \ cm^2[/tex]

Answer:

[tex]\sf volume=7 \frac12 \ cm^3[/tex]

Step-by-step explanation:

Formula

volume of cuboid = length × width × height

Given dimensions of the ice cube:

length = 2 cmwidth = 1 1/4 cmheight = 3cm

Substituting the given values into the formula:

[tex]\sf \implies volume=2\times 1 \frac14 \times 3[/tex]

Converting to improper fractions:

[tex]\sf \implies volume=\dfrac21\times \dfrac54 \times \dfrac31[/tex]

                  [tex]\sf =\dfrac{ 2\times 5 \times 3}{1 \times 4 \times 1}[/tex]

                  [tex]\sf =\dfrac{30}{4}[/tex]

Dividing the numerator and denominator by the highest common factor:

[tex]\sf \implies volume=\dfrac{30 \div 2}{4 \div 2}[/tex]

                  [tex]\sf =\dfrac{15}{2}[/tex]

Converting the improper fraction into a mixed number:

[tex]\sf \implies volume=7 \frac12 \ cm^3[/tex]

Please help extremely confused

Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included)​

Answers

Answer:

basic geometry and trig ratios

Step-by-step explanation:

sin 10 = 500/x

x = 500/sin 10

x = 2 879,4 m

What information is included in this loan agreement that would NOT be included if Ron had gotten a loan from a bank or credit union?

Answers

Ron Is broke I think

on a coordinate plane, the endpoints of line segment JL are
J(-6,-4) and L(6,8). Point K lies on line segment JL and divides it into two
line segments such that the ratio of JK to KL is 5:1. What are the
coordinates of point K?*

Answers

Answer: (4,6)

Step-by-step explanation:

We are splitting the line segment into 6 parts, so we can start by finding the displacement in the x and y coordinates.

The change in x is 12, and the change in y is 12.

This means that for each of the 6 parts we are splitting the segment into, the value of x will change by 2, and so will y.

This means that to find K, we can subtract one of these displacements from point L.

This means that K has coordinates (6-2, 8-2)=(4,6)

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