What is the point slope form of the line with slope 2/5 that passes through the point (-4, -7)?
y+7=2/5(x+4)
y-7=2/5(x-4)
y-4=2/5(x-7)
y+4=2/5(x+7)

Answers

Answer 1

Answer:

A. y + 7 = 2/5(x + 4)

Step-by-step explanation:

gradient (m) = 2/5(x1, y1) → (-4, - 7)x1 = -4y1 = -7

so,

[tex] \rm y - y1 = m(x - x1)[/tex]

[tex] \rm y - ( - 7) = \frac{2}{5} (x - ( - 4))[/tex]

[tex] \boxed{ \rm y + 7 = \frac{2}{5} (x + 4)}[/tex]


Related Questions

Two angles are supplementary. One angle measures (3x+8) and the other measures (6x+64) what is the value of X?

Answers

3x+8+6x+64=180 (definition of supplementary angles)
9x+72=180 (Simplify)
9x=108 (Subtraction property of equality)
x=12

Find the area of the shaded region

Answers

I think it could be b

Answer:

A

Step-by-step explanation:

8-6=2

6×2=12

12×2=24

Put your answer in cm^2

Liana is putting a border around a right triangle and needs to figure out the triangle's height. If the triangle has a base length of 9 cm and a total area of 27 cm², what is the height?

Answers

Answer:

6

Step-by-step explanation:

Can y’all help me on question 19?!

Answers

Answer:

Its D

Step-by-step explanation:

That is D
Just my multiplying the 2 five times and since it asks you in exponential form you do 2^5 so D will be you’re answer

Who can solve this question?I will mark them as branlist.​

Answers

Answer:

See below

Step-by-step explanation:

[tex] \overrightarrow a= \bigg(\frac{5}{\sqrt 34},\:\frac{3}{\sqrt 34}\bigg)[/tex]

We have to show that [tex] \overrightarrow a[/tex] is an unit vector.

To show this, we will find the modulus of [tex] \overrightarrow a[/tex] and if its value is 1, it will be a unit vector.

So,

[tex] | \overrightarrow a| = \sqrt{\bigg(\frac{5}{\sqrt 34} \bigg) ^{2}+\bigg(\frac{3}{\sqrt 34}\bigg)^{2} } \\ \\ | \overrightarrow a| = \sqrt{\frac{25}{ 34} +\frac{9}{ 34} } \\ \\ | \overrightarrow a| = \sqrt{\frac{25 + 9}{ 34} } \\ \\ | \overrightarrow a| = \sqrt{\frac{34}{ 34} } \\ \\ | \overrightarrow a| = \sqrt{1} \\ \\ | \overrightarrow a| = 1[/tex]

Thus, [tex] \overrightarrow a[/tex] is a unit vector.

Whats 3642o x 3234d +99? :/

Answers

Answer:

It's 5

Step-by-step explanation:

Thank you very much for the points :DD

Have a nice day!

What is the image of the point (-2,7) after a rotation of 180° counterclockwise
about the origin?

Answers

The answer to the question is that question i was the first one in eyesight

180° rotation of any point about the origin gives the value with an alternate sign thus it will be (2,-7).

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane.

Given a point let's say A(-2,7)

If we rotate any point on coordinate geometry by 180 degrees about the origin then the horizontal and vertical distinctions will remain the same but the sign will change as shown below.

A(-2,7) ← Second quadrent

A'(2,-7) → Fourth quadrant

Hence "180° rotation of any point about the origin gives the value with an alternate sign thus it will be (2,-7)".

For more about coordinates,

brainly.com/question/7869125

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A sample of 5 integers selected is shown. Does this sample represent the general rule for picking an integer from 1 to 25 in the population of integers from 1 to 1,000? Explain.

Answers

Answer:

No

Step-by-step explanation:

The general rule for picking sample from a population at random ensures that all members of the population have equal chances of being selected.

Therefore to select 5 samples in the range 1 - 25 from a population of integers from 1 - 1000.

Firstly, befure we start selecting our samples directly from the population since we are not interested in all integers, we seperatw the integers belonging to our target samples from the population first, the we select 5 samples out of the sepwratwd integers between 1 - 25. This ensures that all our 5 samples will have integers between 1 - 25 becausw integers 1 - 25 is the range we want our specs to be within and not between 1 - 100.

However, from the trial samples recorded none of the samples have integer between 1 - 25 ; jnecw, the samples must have been chosen directly from the entire population of 1 - 1000

Harley invested $6,300 into an account that earns 3.5% simple interest. What is the total balance of the account after 5 years

Answers

Answer:

$7402.50 I think

Step-by-step explanation:

3.5(5)= 17.5 percent

175/1000* 6300= 17.5*63= 1102.5

6300+ 1102.5=  7402.5

if my answer helps please mark as brainliest.

This que
Diners frequently add a 15% tip when charging a meal to a credit card. What is the price of the meal without the tip if the amount charged is $48.30? How much was the tip?
The price of the meal without tip is $
The amount of the tip is $
Enter your answer in each of the answer boxes.
.

Answers

Answer:sup

Step-by-step explanation:

Note: Triangle may not be drawn to scale.


Suppose a = 10 and b = 2.


Find an exact value or give at least two decimal places:


sin(A) =



cos(A) =



tan(A) =

Answers

Answer:

Step-by-step explanation:

more info

Exact values are follows:

sin A = 0.98

cos A = 0.20

tan A = 5

What is Trigonometric function?

In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

What is Pythagorean theorem?

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Given,

a = 10, b = 2

Draw the figure using the given data

Apply Pythagorean theorem to find the third side or hypotenuse

[tex]c^{2}=a^{2} +b^{2}[/tex]

[tex]c^{2}=10^{2}+2^{2}\\c^{2}=100+4\\ c^{2}=104\\ c=\sqrt{104}[/tex]

c = 10.19 units

We know sin θ = Opposite side / Hypotenuse

Sin A = [tex]\frac{10}{10.19}[/tex]

sin A = 0.98

cos θ = Adjacent side / Hypotenuse

cos A = [tex]\frac{2}{10.19}[/tex]

cos A =0.20

tan θ = Opposite side / Adjacent side

tan A = [tex]\frac{10}{2}[/tex]

tan A  = 5

Hence, the Exact values are follows:

sin A = 0.98

cos A = 0.20

tan A = 5

Learn more about Trigonometric functions and Pythagorean theorem here

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plz help me with this problem

Answers

Answer:

2/3 + 1/8 = 3/11 or 1-(2/3 + 1/8)=8/11

Step-by-step explanation:

To be honest addition or subtraction would be most used in theese types of problems so I think its 2/3 + 1/8 = 3/11 or either 1-(2/3 + 1/8)=8/11

Compare the original trapezoid and the enlarged trapezoid.

Trapezoid A B C D has side lengths 4 centimeters, 2 centimeters, 5 centimeters, 2 centimeters. Trapezoid W X Y Z has side lengths 10 centimeters, 5 centimeters, 12.5 centimeters, 5 centimeters.

What is the perimeter of trapezoid ABCD?


What is the perimeter of trapezoid WXYZ?


What is the scale factor for this enlargement?

Answers

Answer:

13, 32.5, 2.5

Step-by-step explanation:

Answer:

The answer is in the photo

Step-by-step explanation:

use inductive reasoning to predict the next line in the sequence of computations.
1=1×1
1+7=2×4
1+7+13=3×7​

Answers

Answer:

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

Step-by-step explanation:

The computation of the next line in the sequence is shown below:

As we can see that there is an increase of 6 in the left side and on the right hand side there is an increase of one

So,

1 = 1 × n

1 + (1+6) = 2 × n

1 + (1+6) + (1+6+6) = 3 × n

So, the next line would be  

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

i.e.

1 + 7 + 13 + 19 = 4 × 10

As 1 + 7 + 13 + 19 = 40

And 40 = 4 × 10

Help??I have 4 questions and im confused on all of them

Answers

So you you are trying to find the area of sphere so you would use this formula
A=4•3.14•r^2

And you already know that the radius is 6 so you would go ahead and plug in the numbers
A=4•3.14•4^2

4^2 is 16 so your final equation would be
A=4•3.14•16

And your answer is

=452.39

Please help I urgently need it, I’ll give brainliest to whoever answers and 20 points!

Answers

Answer:

92.3

Step-by-step explanation:

Home to gas station: (0,0) to (6,2) = 6.3

Gas station to friends house: (6,2) to (4,-7) = 9.2

Freinds house to movie theatre: (4,-7) to (-7,-3) = 11.7

Movie theatre to ice cream: (-7,-3) to (-8,2) = 5.1

Ice cream to park: (-8,2) to (7,7) = 15.8

Park to friends house: (7,7) to (4,-7) = 14.3

Friends house to grocery store: (4,-7) to (-4,8) = 17

Grocery store to home: (-4,8) to (0,0) = 8.9

Add them together =

Complete the statement with the term that makes it true.
If there is no data for a value within the range, there still needs to be a
for that value in a frequency table.
O column
Orow
Otable

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Suppose two angles in a coordinate plane, one measuring 80° and the other measuring 160°, were both rotated 180° about the origin and then

translated 40 units down. Which of these would be a measure of one of the resulting angles? Select all that apply

Answers

Answer:

120 and 40

Step-by-step explanation:

Given

[tex]\angle 1 = 160[/tex]

[tex]\angle 2 = 80[/tex]

Rotation = 180 degrees

Translation = 40 units down

Required

A measure of the resulting angles

180 degrees rotation

Rotation only affects the positioning of angles and does not change the measure of the angles.

So, the measure of both angles remain unchanged.

40 units down translation

This will reduce the measure of both angles by 40 degrees.

So:

[tex]\angle 1 = 160 - 40 = 120[/tex]

[tex]\angle 2 = 80 - 40 = 40[/tex]

Work out the difference between 77.5 and 2.27.

Answers

Answer:

75.23 is the answer for 77.5-2.27

FOR THE SMART MATH PEOPLE
WILL GIVE BRAINLIEST

Answers

This figure shown is NOT a square because a square has all angles are 90º.

It is a rhombus and a parallelogram because they both have a parallel sides(At least 2). NOW GIVE ME BRAINLIEST!!!!

A $24,000 car depreciates at a rate of 15% annually. What is that average rate of change from year 6 to year 10?

Answers

It would be 2,760 I’m pretty sure you just need to do the maths like multiple division add

The first five terms in a pattern of numbers are shown. 2.4, -3.4, -9.2, 15, -20.8, If the pattern continues, which expression can be used to find the n term? A 5.8 - 3n B -- 3 -- 5.8 C8.2 -- 5.8 D 5.8 - 8.2n​

Answers

Answer: C, 8.2 - 5.8n

The expression for the nth term will be 8.2 - 5.8n. Then the correct option is C.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The first five terms in a pattern of numbers are shown. 2.4, -3.4, -9.2, -15, -20.8. Then the equation is given as,

At x = 1, y is 2.4.

2.4 = m + c           ...1

At x = 2, y is -3.4.

-3.4 = 2m + c          ...2

From equations 1 and 2, then we have

m = -3.4 - 2.4

m = - 5.8

Then the value of 'c' is given s,

2.4 = -5.8 + c

c = 8.2

Then the equation is given as,

y = 8.2 - 5.8x

If the pattern continues. Then the expression for the nth term is given as,

y = 8.2 - 5.8n

The expression for the nth term will be 8.2 - 5.8n. Then the correct option is C.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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whats 3/2 divided by 8/3 in fraction form

Answers

Answer:

9/16

Step-by-step explanation:

3/2 / 8/3 =

3/2 x 3/8 = 9/16

Hope that helps!

An agricultural company is trying to decide which type of fertilizer to use on its crops. The company concerned with the average yield on its crops as well as the variance of their yields. In a sample of 41 different fields with using fertilizer A, the average crop yield per acre is 185 tons with a standard deviation of 35 tons. In a separate sample of 61 different fields using fertilizer B, the average crop yield is 175 tons with a standard deviation of 28 tons. When testing the hypothesis that there is no difference between the average yields using the different fertilizers, if the test statistic is 1.53 and the critical value is 2.57 then what is your conclusion concerning the null hypothesis?

Answers

Answer:

We do not reject the null

Step-by-step explanation:

Given that :

Sample size, n = 41

Test statistic ; Zstatistic ;= 1.53

Critical value ; Zcritical ; = 2.57

The null hypothesis H0 ;

H0: μ1 - μ2 = 0

Alternative hypothesis, H1 ;

H1: μ1 ≠ μ2

Decision region :

Reject Null ; if |Zstatistic ≥ Zcritical|

Zstatistic > Zcritical

Result :

1.53 < 2.57

Zstatistic < Zcritical

Hence, we do not reject the null ; there is no significant evidence that there is difference in the average yield of the two samples.

The diameter of a circle is 100cm what is the circumference of the circle use 3.14 for​

Answers

Given diameter (D) = 100

Radius = D/2 = 50

Circumference = πD

= 100π

= 314.15926535898

Bill charges 20 dollars to come to your house. He also charges 12 dollars for each hour that he works there. If the total price of Bill’s visit is $116 how many hours was he there?

Answers

Answer:

He was there for 8 hours.

Step-by-step explanation:

Which is the equation of a line that has a slope of -7 and a Y intercept of 2

Answers

Answer:

y = -7x + 2

Step-by-step explanation:

the given is a square pyramid. The side length of the base of the pyramid is 28 millimeters. The volume of the pyramid is 1296 cubic mm. What is the height of the pyramid​

Answers

Hi! the answer is 2+[8x1296] because you break the 28 and the 1296 stays the same

Samuel use the distributive property to simplify the expression -6(-2 - 10x) - 7x And came up with the answer 53X -12, which is wrong.

What was Samuels mistake

Answers

Answer:

-6 x -2 = 12

-6 x -10x = 60x

12 - 60x

60x - 7x = 53x

12 - 53x

He flipped it the wrong way its supposed to be 12 - 53x not 53x - 12.

$17.99
with an
11.25% tax

Answers

Answer:

your final price is 19.02

your ta rate is 5.75

Step-by-step explanation:

your

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