What is the slope of the line through the points (-4, 2) and (-16, -6)

Answers

Answer 1

Answer:

[tex]m = \frac{2}{3}[/tex]

Step-by-step explanation:

Use the following equation:

slope [tex](m) = \frac{y^2 - y^1}{x^2 - x^1}[/tex]

Set the variables with the points:

[tex](x_1 , y_1) = (-16 , -6)\\(x_2 , y_2) = (-4 , 2)\\[/tex]

Plug in the corresponding numbers to the corresponding variables in the equation:

[tex]m = \frac{2 - (-6)}{-4 - (-16)}[/tex]

[tex]m = \frac{2 - (-6)}{- 4 - (-16)} = \frac{2 + 6}{16 - 4} = \frac{8}{12}[/tex]

slope [tex]m = \frac{8}{12}[/tex] [tex]= \frac{2}{3}[/tex]  (simplified)

~

Answer 2

Answer:

2/3

Step-by-step explanation:


Related Questions

Find the perimeter and area of a rectangle of cardboard measuring 15.9 cm by 11.7cm

Answers

the area is 186.03. lw = 15.9(11.7) = 186.03

WILL GIVE BRAINLYIST
A-5 pound bag of apples cost $3.50 use the way completed table to identify equivalent ratios and then answer the questions.

Apples *? 5 ? 15
Cost 0.70 3. 50 7 ?

Apples cost $___ per pound.

Answers

i think the answer is 11.024

A die is thrown. What is the probability of getting 6?
(a) 0
b 1/6
c 1/2
d 1​

Answers

Answer:

1/6

Step-by-step explanation:

There are 6 sides on a die, labeled 1,2,3,4,5,6

P(6) = number of 6's / total numbers

     = 1/6

Michael has 20 table tennis balls and 16 table tennis paddles. He wants to sell packages of balls and paddles bundled together. What is the greatest number of packages she can sell with no leftover balls or paddles?

Answers

You need to find the hcf of 16 and 20 which is 4

Alright, I need help! ​

Answers

Answer:side B middle length!

Step-by-step explanation:

Solve this equation, and show work. worth 40 points.

Answers

Recall the following property of exponents:

[tex]a^b\cdot a^c=a^{b+c}[/tex]

[tex]\implies 216^{-3k}\cdot 216^{-2k}=216^{-3k-2k}=216^{-5k}[/tex]

Now, notice that 6² = 36 and 6³ = 216, which means that

[tex]216^{-5k}=36^{2k-1} \iff (6^3)^{-5k}=(6^2)^{2k-1}[/tex]

Recall another property of (real) exponents:

[tex](a^b)^c=a^{bc}[/tex]

[tex]\implies(6^3)^{-5k}=6^{3(-5k)}=6^{-15k}\text{ and }(6^2)^{2k-1}=6^{2(2k-1)}=6^{4k-2}[/tex]

So we have

[tex]216^{-5k}=36^{2k-1} \iff 6^{-15k}=6^{4k-2}[/tex]

Since both sides are equal powers of 6, that must mean that the exponents must be equal, so

[tex]-15k=4k-2[/tex]

Solve for k :

[tex]-15k-4k=(4k-4k)-2[/tex]

[tex]-19k=-2[/tex]

[tex]k=\dfrac{-2}{-19}=\boxed{\dfrac2{19}}[/tex]

Dimensions of a rectangular section of forest land are 5.5×10 to the 5th m in 4.2 times complete the following sentences

Answers

Answer:

Step-by-step explanation:

2.31x10⁴

If Kim reduces the weekly number of hours she works by one-fourth and her current weekly income is $520.00, what is her new weekly income?

Answers

Answer:

$390    you divide 520 by 4 so 520/4=130   now we subtract 130 from 520, 520-130=390

Step-by-step explanation:

Solving this question requires basic arithmetic formula and fractions.

New weekly income = $390

Let's call the number of hours kim works weekly as "x"

If she reduces this number of hours by one-fourth and her current weekly income is $520, then it means the amount to be deducted is;

[tex]\frac{1}{4}[/tex] × $520 = $130

Thus, her new weekly income will be;

$520 - $130 = $390

Read more at; brainly.com/question/11407386

Help. What is the slope of the line in the graph?

Answers

Hello,

As you have not provided the graph, I can teach you how to answer the question.

You are solving for the slope of the line. The slope can be found by using the following equation:

slope (signified by the variable m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Note that the numbers does not exactly matter, only that what you set as variable [tex]x_1[/tex], the y inside that coordinate will also be [tex]y_1[/tex], and likewise for point 2.

For example, let us say your points for your line is (3 , 6) and (10 , 4)

Let:

[tex](x_1 , y_1)[/tex] [tex]= ( 3 , 6)[/tex]

[tex](x_2 , y_2) = (10 , 4)[/tex]

Plug in the corresponding numbers to the corresponding variables:

slope [tex]m = \frac{4 - 6}{10 - 3} = - \frac{2}{7}[/tex]

The given points will result in a [tex]-\frac{2 }{7}[/tex] slope.

Hope this helps!

Which equation represents a line with a slope of zero?
O y= 2x
O y=-3x+
O y=4
O x=-5

Answers

Answer:

y = 4

Step-by-step explanation:

In y =mx+b (slope -intercept form ),

We have m to be the slope

The first and the second equations contains the slope (coefficient of x)

The fourth option clearly states the slope is -5

That leaves with the third option with only a y-intercept.

Answer:

y=4

Step-by-step explanation:

y=4 on the graph would look like this -------------------------- and it would have a slope of zero. It's not x = -5 because that would have an undefined slope |.

And the first two the slope is the number in front of the x.

Hope this helped!!!

                                                                                                                       

A company requires a password to access a data storage vault. The password must be 4 characters long and may
contain digits and lowercase letters only.
How many passwords are possible if characters can be repeated? Enter your answer as a number, like this: 425

Answers

Answer:

There are 36 possibilities per character (26 lower case letters + 10 numbers), so the total number of permutations are 36^4 = 1,679,616

Step-by-step explanation:

PLEASE HELP

Which of the following is the inverse of f(x)=3-x/5

Answers

Answer:

f^-1(x) = 3 - 5x, second option

Step-by-step explanation:

To determine the inverse simply interchange the variables and solve for y;

f(x) = 3 - x / 5 -> Interchange the variables

x = 3 - y/5 -> Multiply either side by 5

5x = 3 - y -> Subtract three from either side

- y = 5x - 3 -> Divide either side by - 1

y = - 5x + 3

Your solution is f^-1(x) = 3 - 5x

(WILL GIVE BRAINLIEST)

What is 3/5 written as a percent?
A. 6%
B. 30%
C. 60%
D. 167%

Answers

Answer:

60%

Step-by-step explanation:

1/5 equals 20 % and thus 3/5 is 20 % multiplied by 3 so 60 %

Answer: "Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as  

x/100

.

We can then rewrite this as:  60%.

what is the rate in 20 chairs 2 rows​

Answers

Answer:

10 chairs one row 20 divided by 2

Answer:20/2      Unit rate 10

Step-by-step explanation:

Clay thinks the next term in the sequence​ 2, 4,... is 6. Given the same​ pattern, Ott thinks the next term is​ 8, and Stacie thinks the next term is 7. What conjecture is each person​ making? Is there enough information to decide who is​ correct?

Answers

No there is not enough info sorry if it’s wrong imma lil slow

Clay and ott are correct but stacie is wrong.

What is an Arithmetic progression?

An Arithmetic progression (AP) is a special type of progression in which the difference between two consecutive terms is always a constant. The terms of an arithmetic progression series is a a+d, a + 2d, a + 3d, a + 4d, a + 5d,…

Given here, the sequence as 2,4,6..... thus this is an arithmetic sequence with common difference 2 and therefore the subsequent terms are as follows : 2,4,6,8,18......

∴ Clay and Ott predicted correctly.

Hence, Clay and ott are correct but stacie is wrong.

Learn more about an A.P here:

https://brainly.com/question/1610404

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what is 8,526 divide by 9

Answers

Answer:

Use a calculator but otherwise it is 947.3333

Step-by-step explanation:

first 8000 divided by nine which is 888.8888

second is 500 wich is 55.5555

third is 20 divided by nine wich is 2.2222222

fourth is 6 divided by nine wich is 0.66666667

fith add all of them which is around 947.3333

Five pounds is equal to 2.268 kilograms. How many kilograms is 2 pounds?
0.4536
0.9072
1.8144
4.536

Answers

Five pounds is equal to 2.268 kilograms.

Answer:

B) 0.9072

Step-by-step explanation:

In AFGH, h = 9.6 inches, f = 2.5 inches and 2G=78°. Find the length of g, to the
nearest 10th of an inch.

Answers

Answer:9.4

Step-by-step explanation:

comment section

State weather the following can be expressed as a ratio 12g and 45kg

Answers

Answer:

The anwser is always Jesus

Step-by-step explanation:

Also there is no following

The ratio of 12gm and 45 kg in simplest form is 3750 : 1.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Are two weights in different measurement forms, To write them as a ratio we have to make their scale of measurement equal.

We know 1kg is equal to 1000 grams.

Therefore, 45 kg is equal to 45000 grams.

So, The ratio of 12gm and 45 kg is 45000 : 12.

22500 : 6.

11250 : 3.

3750 : 1.

learn more about proportion here :

https://brainly.com/question/7096655

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multiply [3] [-4] [2]

Answers

Answer: -24

Explanation: you multiply 3 times 4 times two, but then count the negative signs and if its and odd number add it if its even then its positive.

mr.little earned $320 for working 2 eight hours shifts at the lumber yard .what is his hourly wage?

Answers

Answer:

Step-by-step explanation:

320$ divided by 16 (two 8 hr shifts) = 20 dollars an hour

- Fifteen percent of what number is 66?

Answers

Answer:

440

Step-by-step explanation:

In other words, you know that 15 percent of a number is 66 and you want to know what that initial number is. Therefore, you can derive that 15 percent of 440 equals 66. 67 is 15 percent of what number?

The answer to this question is 440.

how many fifths are there in 8 3/5?​

Answers

Answer:

43 becuase 8 3/5 times 5

Step-by-step explanation:

2. Add 62 to the difference of
90 and 36.​

Answers

Answer:

116

Step-by-step explanation:

(difference = subtract)

90 - 36 = 54

adding 62 to 54 = 116

answer

62+(90-36)

62+54

116

What is the equation of a line that is perpendicular to this line and goes through the
given point?
y = 3x + 2 (3,-4)

Answers

Answer:

x + 3y + 9 = 0

Step-by-step explanation:

y=3x + 2

Coefficient of x = 3

Gradient (m) of line y= 3x + 2 is 3

Since the line passing through point

(3,-4) is perpendicular to line y=3x + 2

hence gradient (m) of the line is -1/3;

And hence it equation is given as;

y - y1 = m(x - x1)

y - (-4) = -1/3(x - 3)

multiplying through by 3;

3 × y + 3 × 4 = 3 × -1/3(x - 3)

3y + 12 = -1(x - 3)

3y + 12 = -x + 3

x + 3y + 12 - 3 = 0

x + 3y + 9 = 0

Your firm needs $630 for one quarter to finance a deficit. Interest charges are 2% per quarter. Your bank
requires a 10% compensating balance. How much must your firm borrow in order to obtain the needed funds?
$700.00
$705.00
O $693.00
$715.91

Answers

The answer is $700


Hope this helps

3. If (5,5) is the endpoint of a line with the midpoint at (0,0), where is the
other endpoint?

Answers

If (5,5) is the endpoint of a line and the midpoint is (0,0) then the other endpoint of the line is (-5,-5).

Completează tabelul de mai jos:
Predecesor
Predecesor Predecesor
par
impar
Număr
Răsturnat
Ok Succesor
Succesor
par
23 148
300 000
111 111
101 101
729 143

Answers

i’ll what is this language

A child walks 3/10 of a mile in 1/5 hour. At this rate, how far will the child walk in 1 hours ?

Answers

Answer:

1.5 miles

Step-by-step explanation:

.3 miles/12 minutes x 5/5 = 1.5 miles/ 1 hour

As men age, their testosterone levels gradually decrease. This may cause a reduction in lean body mass, an increase in fat, and other undesirable changes. Do testosterone supplements reverse some of these effects? A study in the Netherlands assigned 237 men aged 60 to 80 with low or low-normal testosterone levels to either a testosterone supplement or a placebo. The report in the Journal of the American Medical Association described the study as a "double-blind, randomized, placebo-controlled trial." Explain each of these terms to someone who knows no statistics.1) Explain the term "double-blind" study?2) True or False: :"Randomized means that the subjects were selected randomly from the population of men aged 60 to 80 with low or low-normal testosterone levels."3) Explain the meaning of the term "placebo-controlled" trial?

Answers

Answer:

Answered below.

Step-by-step explanation:

1) A double - blind study is simply an experiment in which neither the participants nor the people who carry out the experiment know who is receiving any particular treatment. This method is usually used in order to prevent a biased view in research results.

2) True because randomized simply means that subjects were assigned to the group randomly.

3) Placebo - controlled trial simply means that there was a control group that received only a placebo treatment which is mainly designed not to have real effect.

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