passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to ?
A.
5x − 3y = 0
B.
-x + 3y = 0
C.
-5x − 3y = 0
D.
3x + 5y = 0
E.
-3x + 5y = 0

Answers

Answer 1

ANSWER

[tex]- 5x - 3y = 0[/tex]

EXPLANATION

The line that passes through the origin has equation of the form:

y=mx

Where m is the slope.

Since the line is parallel to the line through A(-3, 0) and B(-6, 5), they have the same slope.

The slope is given by:

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

[tex]m = \frac{5 - 0}{ - 6 - - 3} = - \frac{5}{3} [/tex]

Hence the required equation is:

[tex]y = - \frac{5}{3} x[/tex]

Multiply through by 3,

[tex]3y = - 5x[/tex]

In standard form, the equation is

[tex] - 5x - 3y = 0[/tex]

Answer 2

Answer:

The answer is C. -5x - 3y = 0


Related Questions

find the measure of the arc or central angle indicated ​

Answers

Answer:

230 degrees

Step-by-step explanation:

Solve for m. 7m + 8 = 8m

Answers

Answer:

8

Step-by-step explanation:

7m+8=8m

7m-8m= -8

Whenever you move a number for the opposite side , you change the sign. For example, the number is 6 , then you move it to the other side. The sign becomes negative 6.

-m=-8

The m cannot be a negative sign. So you multiply it by -1 and for -8.

-1(-m)= -1(-8)

m= 8

Double check answer if you want to:

7m+8=8m

Substitute the answer for m.

7(8)+8=8(8)

64=64

So the answer is correct. m=8

Round to two decimal places

Answers

Answer:

D. 0.43, because 13 of the 30 days were cloudy

Step-by-step explanation:

The fist thing that you should do is divide 100 by 30.  We will do this so taht our percentages add up to 100.  When we do this we get 3.333.  Next we need to multiply this by the nubert of cloudy days 13 to get the answer D.

last month month Rogers spent 56.00 dollars on games this month he only spent 43.68 dollars he spent blank percent less this month​

Answers

Answer:

78%

Step-by-step explanation:

If the volume of a sphere is 288πcm3, what is the radius of the sphere in centimeters?

Giving brainliest and 30 points!

Answers

The formula for volume of a sphere is 4/3 x PI x r^3

Solve for r:

288PI = 4/3 x PI x r^3

Divide both sides by PI:

288 = 4/3 x r^3

Divide both sides by 4/3:

216 = r^3

Take the cubic root of 216 for r:

r = ∛216

r = 6

The radius is 6 cm.

Which equation matches the function shown in the graph? A) y = x + 4 B) y = 4x + 2 C) y = 2x + 4 D) y = -2x + 4

Answers

The equation that matches the function shown in the graph is y = 2x + 4

Which equation matches the function shown in the graph?

From the question, we have the following parameters that can be used in our computation:

The graph

A linear equation is represented as

y = mx + c

Where

m = slope

c = y-intercept

From the graph, we have the point (0, 4)

This means that

c = 4

So, we have

y = mx + 4

Using the point (-2, 0) on the graph, we have

-2m + 4 = 0

This gives

2m = 4

m = 2


Recall that

y = mx + 4

So, we have

y = 2x + 4

Hence. the equation is y = 2x + 4

Which is the correct graph for the function f(x)=3x^2-6x-2

Answers

Answer:

see attached picture

Step-by-step explanation:

I got this by using the free app desmos, you should check it out!

Which equation would be help solve the following problem? The height of a triangle is 5m less than its base. The area of the triangle is 42m^2.
Find the length of the base?


42=x(x-5)

42=1/2(x)(x-5)

42=x^2-5

42=1/2(x^2-5)

First correct answer will make brainliest

Answers

Answer:

Part 1) [tex]42=\frac{1}{2}x(x-5)[/tex]

Part 2) The length of the base is [tex]x=12\ m[/tex]

Step-by-step explanation:

Part 1) Which equation would be help solve the following problem?

Let

x----> the length of the base of a triangle

y----> the height of a triangle

we know that

The area of a triangle is

[tex]A=\frac{1}{2}xy[/tex]

[tex]A=42\ m^{2}[/tex]

so

[tex]42=\frac{1}{2}xy[/tex] ------> equation A

[tex]y=x-5[/tex] -----> equation B

Substitute equation B in equation A  

[tex]42=\frac{1}{2}x(x-5)[/tex]

Part 2) Find the length of the base

we have

[tex]42=\frac{1}{2}x(x-5)[/tex]

solve for x

[tex]84=x^{2}-5x\\x^{2}-5x-84=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]x=12\ m[/tex]

see the attached figure

Which equation represents the line that passes through (-8,11) and (4,7/2)?

Answers

Answer:

y = -5/8x +6

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (7/2 -11)/(4--8)

    = (7/2 - 22/2)/(4+8)

    = (-15/2)/(12)

   = -15/24

Divide top and bottom by 3

   -5/8

Then we can use point slope form to write the equation

y-y1 = m (x-x1)

y- 11 =-5/8(x--8)

y- 11 =-5/8(x+8)

Distribute

y-11 =-5/8 x -5

Add 11 to each side

y-11 = -5/8x -5+11

y = -5/8x +6

Show proooof, pls!!!!!!

Answers

answer for this question is 3.85 units squared

Answer:

[tex]\boxed{\text{38.5 units}^{2}}[/tex]

Step-by-step explanation:

The polygon is a trapezoid on its side.

The formula for the area of a trapezoid is  

A = ½(a + b)h,

where a and b are the lengths of the parallel sides and h is the distance between them.

AD = a = 2 – (-2) = 2 + 2 = 4 units

BC = b = 2 – (-5) = 2 + 5 = 7 units

AB = h = 3 – (-4) = 3 + 4 = 7 units

A = ½(4 + 7) × 7 = ½ × 11 × 7 = 38.5 units²

[tex]\boxed{\text{A = 38.5 units}^{2}}[/tex]

Please solve this question

Answers

There is no question to answer here ?

Answer:

the answer is your mother

What is the sum of n natural numbers: 1+2+...+n?

Answers

Answer:

S = 1/2 n (n+1)

Step-by-step explanation:

1 + 2 + 3 + ... + n

Now write in reverse order:

n + n-1 + n-2 + ... + 1

Add together:

n+1 + n+1 + n+1 + ... + n+1

n (n+1)

Since this is double the sum:

S = 1/2 n (n+1)

Answer:

1/2n(n+1)

Step-by-step explanation:

2 questions here. What does the equation of line mean on number 7? And how do I do 8?

Answers

Equation of line is doubling

2x - 9y=14
[tex]2x - 9y = 14 [/tex]

Answers

Answer:

Step-by-step explanation:

first draw you line down on the equal sign take 2x and devide itso it should be 14/2 you should get 7 2x is no longer there then bring down 9y and add d to 14 thats 23 so its x =23

We need to solve for x.

2x - 9y = 14

Move the 9y to the right side and use inverse operations.

2x = 14 + 9y

Divide both sides of the equation by 2.

x = 7 + 9/2y or x = 7 + 4.5y

I will attach a picture of the graph as well in case that’s what you were looking for.

Help me with this page

Answers

Answer:

There is no page!

Step-by-step explanation:

Answer:what page?

Step-by-step explanation:

Which of the following is not true regarding sets of numbers ?

Answers

D. All rational numbers are integers

All rational numbers are integers

Step-by-step explanation:

Using the slope and y-intercept, graph the line represented by the following equation. Then select the correct graph. 2y + 4 = 0

30 POINTS

Answers

Answer:Hello there!

2y + 4 = 0

2y = -4

y = -2

My assumption is that you'd graph this as a horizontal line at (0,-2) but PLEASE double check with your teacher/instructor because I'm not sure if I'm right.

Hope this helped!

Step-by-step explanation:

Answer:

Step-by-step explanation:

You'll need to share the graphs mentioned in this problem statement.

One can solve  2y + 4 = 0  for y and thus obtain an equation which is easy to graph:

2y + 4 = 0 becomes

2y = -4, or

 y = -2

The graph of this function is the horizontal line y = -2.  Find (0, -2) on your set of coordinate axes and plot a dark dot there.  Then draw a horizontal line thru it.  This line has a slope of zero (0) and a y-intercept of -2.

y= 89.5 + 0.409x Is a line of regression corresponding to a set of data which compares.
The number of commuters to number of paelinf spots at a given station.
The Metro-North Station of Greenwich, CT, has 2804 commuters. Find the predicted number of parking spots at the Metro-North Station.

A.) 1057 spots
B.) 2894 spots
C.) 6637 spots
D.) 1237 spots​

Answers

Answer:

D.) 1237 spots

Step-by-step explanation:

We have been given the following regression line;

y= 89.5 + 0.409x

It is reasonable to argue that the number of commuters determines the number of parking spots and as such commuters is our explanatory variable (x). On the other hand, the number of parking spots is our response or dependent variable (y).

We are required to predict the number of parking spots at the Metro-North Station of Greenwich which has 2804 commuters. We are simply asked to determine the value of y when x is 2804 using the regression line;

y = 89.5 + 0.409(2804)

y = 1236.336

y = 1237

The circumference is 90 find the area

Answers

Answer:

A≈644.58

Step-by-step explanation:

Someone help me out please

Answers

Answer:     2 to 1          and          2;1

Step-by-step explanation:

in general there are 3 ways to write these ratios. A fraction, the one using to, and the ones with semicolans. This is how you will always want to write your ratios on the problems you are solving with your ratios when it asks that.

Answer:

[tex]\frac{2}{1}, 2:1,[/tex]2

Step-by-step explanation:

We can actually use three forms here.

[tex]\frac{x}{y}[/tex]

[tex]x:y[/tex]

x to y.

Use the format for a ratio.

[tex]x:y[/tex]

So

[tex]x=2 \\ y = 1[/tex]

Now we can plug in.

[tex]\frac{2}{1} \\ \\ 2:1 \\ \\[/tex]

2 to 1

5 min left please help

Answers

Answer: it’s definetly C

Step-by-step explanation:

The answer is C.

Hope this helps!

A triangle ABC is inscribed in a circle, such that AB is a diameter. What are the measures of angles of this triangle if: measure of arc AC = 70°.

Answers

Answer:

Part 1) The measure of angle C is 90°

Part 2) The measure of angle B is 35°

Part 3) The measure of angle A is 55°

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises.

step 1

Find the measure of angle C

The diameter divide the circle into two equal parts

so

If AB is a diameter

arc AB=180°

∠C=(1/2)[arc AB]

∠C=(1/2)[180°]=90°

step 2

Find the measure of angle B

arc AC=70°

∠B=(1/2)[arc AC]

∠B=(1/2)[70°]=35°

step 3

Find the measure of angle A

The sum of the internal angles of a triangle must be equal to 180 degrees

so

∠A+∠B+∠C=180°

substitute

∠A+35°+90°=180°

∠A=180°-(35°+90°)

∠A=55°

a parallelogram has one side that is 9 millimeters and one side that is 13 millimeters. What is the perimeter of the parallelogram?​

Answers

Answer: The answer would be 44 millimeters.

Step-by-step explanation: A parallelogram has to sets of congruent sides. One set has two sides that are 9 millimeters and the other set has two sides that are 13 millimeters. 9+9 = 18, 13+13= 26 and 18+26= 44!

Final answer:

To calculate the perimeter of the parallelogram with sides of 9 millimeters and 13 millimeters, you add the lengths of opposite sides and multiply by 2. The perimeter is 44 millimeters.

Explanation:

The perimeter of a parallelogram is calculated by adding the length of all four sides. Since a parallelogram has opposite sides that are equal in length, if one side is 9 millimeters and another side is 13 millimeters, the other two sides will also be 9 millimeters and 13 millimeters respectively. The formula to find the perimeter (P) is P = 2(a + b), where a and b are the lengths of the sides.

Using this formula:

Let a = 9 mm and b = 13 mm.

Then, P = 2(9 mm + 13 mm).

P = 2 × 22 mm.

P = 44 mm.

Therefore, the perimeter of the parallelogram is 44 millimeters.

Cheryl is now x years old. Her cousin is ⅓ Cheryl’s age. Find her cousin’s age in terms of x.

Answers

x/3= her cousins age

How do I simplify this equation?

Answers

Answer:

[tex]\large\boxed{\sqrt[3]{3^{15}}=243}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{3^{15}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt[3]{3^{5\cdot3}}=\sqrt[3]{(3^5)^3}\\\\\text{use}\ \sqrt[n]{a^n}=a\\\\=3^5=243[/tex]

A rectangular solid has sides of 10 cm, 6.5 cm, and 8.3 cm. What is its volume and surface area? Volume (to the nearest tenth) = cm3 Surface area (to the nearest tenth) = cm2

Answers

Answer:

V = 539.5 cm³SA = 403.9 cm²

Step-by-step explanation:

The formula of a volume of a rectangular prism:

V = lwh

The fomula of a surface area of a rectangular prism:

SA = 2(lw + lh + wh)

l - length

w - width

h - height

We have l = 10cm, w = 6.5cm and h = 8.3cm. Substitute:

V = (10)(6.5)(8.3) = 539.5 cm³

SA = 2[(10)(6.5) + (10)(8.3) + (6.5)(8.3)] = 2(65 + 83 + 53.95)

= 2(201.95) = 403.9 cm²

A company car traveled 3,325 miles on a business trip and used 95 gallons of gas. What was the average miles per gallon for the trip?

Answers

Answer:

The average would be 35 miles. If you divide 3,325 by 95 then every gallon is 35. Have a nice day

:)

Step-by-step explanation:

Answer:

35 miles per gallon.

Step-by-step explanation:

The simplest way to solve this problem is to just simplify the fraction given to you.

if random samples (of size n) students are taken from a specific school district Michigan and asked about their school involvement what conclusions can we expect to draw from samples?

A we can use the sampling distribution to infer about the behavior of all students in the specific district

B we can use a sampling distribution to infer about the behavior of all students in the Michigan

C we can use the sampling distribution to infer about the behavior of all students in the neighboring school district

D we can use the sampling distribution to infer about the behavior of our students in the US

Answers

Answer:

A we can use the sampling distribution to infer about the behavior of all students in the specific district

Step-by-step explanation:

A sample is usually studied or analyzed in order to make inference about the population. It will be more time consuming and costly to study the entire population due to the large number of participants.

In our case, the samples are obtained from a specific school district Michigan. This implies that the researcher is interested in this particular school district and is thus our population of interest. Therefore, we can use the sampling distribution to infer about the behavior of all students in the specific district

We can use the sampling distribution to infer about the behavior of all students in the specific district  

What graph best represents the solution to the inequality

y−2x>−8

Answers

Answer:

A

Step-by-step explanation:

Alexander found the means-to-MAD ratio of two data sets to be 0.8.

What can he conclude about the distributions?


They are similar.

They are different.

They are identical.

They are somewhat similar.







Answers

Answer:

"They are similar"

Step-by-step explanation:

The means-to-MAD ratio tells how similar two distributions are to each other.

If the ratio is

< 1, this means they are similar

between 1 and 2.5, they are somewhat similar

> 2.5, this means they are different

We see the ratio given is 0.8, which is  < 1, so the distributions are similar.

first answer choice is right.

Answer:

The answer is A.

Step-by-step explanation:

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