Find an equation for the line with the given properties. Express your answer using the general form or the slope-intercept form of the equation of a line.

Slope=-3; containing the point (2,-2)

the equation is

Answers

Answer 1

Answer:

\(y=-3x+4\)

Step-by-step explanation:

To get the equation in the slope-intercept form first, put the equation in slope-point form using the information given. The slope-point form is \(y-(-2)=-3(x-2)\). Then solve for y.

Distribute -3 to \((x-2)\),

\(y-(-2)=-3x+6\)

Then, add -2 to both sides,

\(y=-3x+4\)

This is your final answer; the slope is -3 and the y-intercept is 4. There are also a few other ways to solve but I find this the easiest.


Related Questions

ASAPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!

ASAPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!

Answers

10 9/14 bc the 2/7 becomes 4/14. 4/14 + 5/14 = 9/14. 3 + 7 = 10

The instructor wants to give an A to the students whose scores were in the top of the class. What is the minimum score needed to get an A

Answers

Answer:

The minimum svore required to get an A is 85.3.

Step-by-step explanation:

Complete Question

Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 75 and a standard deviation of 8.

The instructor wants to give an A to the students whose scores were in the top 10% of the class. What is the minimum score needed to get an A?

Solution

Scores in the top 10% of the class will have a minimum greater than the remaining bottom 90% of the class.

If the minimum score for the top 10% of the class is x'

P(X ≤ x') = 90% = 0.90

If the z-score of this minimum score of the top 10%, x', is z'.

P(X ≤ x') = P(z ≤ z') = 0.90

using the z-distribution tables

z' = 1.282

But the z-score of any value is given as the value minus the mean divided by the standard deviation.

z = (x - μ)/σ

So,

z' = (x' - μ)/σ

Mean = 75

Standard deviation = 8

z' = 1.282

1.282 = (x' - 75)/8

x' = (1.282 × 8) + 75 = 85.256

= 85.3 to 3 s.f.

Hope this Helps!!!

6 tickets for 48.00 dollars what is the unit price?

Answers

Answer:

8

Step-by-step explanation:

that's a six tickets for $48 there for F1 tickets we don't know the price of each ticket...divide 48/6

solve for x line LK is 59; line LM no measurement; line MK no measurement; angle L is 90 degrees and angle K is 58 degrees

Answers

The value of x which I suppose is the angle M is calculated to be 32°

Calculation of angles in a triangle

In a right-angled triangle KLM, it is a known fact that the sum of the three angles in any triangle is 180°.

Since angle L is a right angle and has a measure of 90°, we can find angle M by subtracting the sum of angles K and L from 180°.

Thus,

angle M = 180° - angle K - angle L

= 180° - 58° - 90°

= 32°

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step by step please

step by step please

Answers

Solution:

We know that:

Given equation: 1/4(x - 2) = 3 - (x + 1/6)

Simplify the distributive property.

1/4(x - 2) = 3 - (x + 1/6)=> x/4 - 2/4 = 3 - x - 1/6

Further simplify both sides.

x/4 - 2/4 = 17/6 - x

Subtract 17/6 both sides.

x/4 - 2/4 - 17/6 = 17/6 - 17/6 - x=> x/4 - 6/12 - 34/12 = -x=> x/4 - 40/12 = -x

Subtract x/4 both sides.

x/4 - x/4 - 40/12 = -x - x/4=> -40/12 = -5x/4

Use cross multiplication.

=> -160 = -60x

Divide -60 both sides.

-160/-60 = -60x/-60=> x = 160/60 = 2 40/60 = 2 2/3

What is the value of x when 1/3x = 9 1/2​

Answers

I'll help.

\( \frac{1}{3}x = 9 \frac{1}{2} \)

\(x = ?\)

\( \frac{1}{3} x = \frac{19}{2} \)

\(x = \frac{57}{2} \)

"How it can be 57 ?"

The number 19 is multiplied by the number 3 at the bottom left.

19 × 3 = 57.

Is y=-3x+6 linear or nonlinear

Answers

Answer:

373737373737373383847484

This equation is in the form y = mx + b and when a function

is written in this form, we know that it's a linear function.

Another way to tell that it's a linear function is

that the variable is raised to the first power.

What are the coordinates of V" in the image of △TUV under (x,y)--> (-3y, 3x) given T(-1,-1), U(-1, 2) and V(2, 1) ?

Answers

Therefore , the solution of the given problem of coordinates comes out to be image triangle's edges are thus located at (3, -3), (-6, -3), and

(-3, 6).

Describe coordinates.

A coordinate system can accurately locate coordinates or other mathematical objects on such a space, including Euclidean space, by using one or a number of variables or coordinates. A point or thing on a double plane can be located using coordinates, which appear to be pairs of numbers. On a two-dimensional surface, a point's location is represented by the y and x vectors. a collection of images used to identify specific locations.

Here,

In the transformation, the values x = -1 and y = -1 are substituted to produce the picture of vertex T(-1,-1) as follows:

=> (-3(-1), 3(-1)) = (3, -3)

Thus, the point is the picture of T. (3, -3).

Similar to this, the picture of vertex U(-1, 2) is created by changing x = -1 to y = 2, which results in:

=> (-3(2), 3(-1)) = (-6, -3)

Thus, the idea is the image of U. (-6, -3).

In the change, x = 2 and y = 1 are substituted to create the image of vertex V(2, 1), which results in:

=> (-3(1), 3(2)) = (-3, 6)

Thus, the point is the picture of a V. (-3, 6).

The image triangle's edges are thus located at (3, -3), (-6, -3), and (-3, 6).

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Graph the line with slope -3 passing through the point (1,-5)

Answers

The equation of the line in the standard form exists 3x - y = 2.

What is the equation of a line?

The equation of a line is a representation of a line on an x-y plane that illustrates the relationship between x and y for each point on the specific line. When x and y are variables and a, b, and c are constants, a line has the standard form ax + by = c.

Y = mx + b is the slope-intercept form of a line, where x and y are variables, m is the line's slope, and b is the line's y-intercept.

The one-point formula reads: y - y₁ = m(x - x₁). to describe the equation of a line traveling through the point (x1, y1) and having a slope of m.

We are asked to graph a line with a slope = -3, passing through the point (1, -5).

We use the one-point formula to determine the equation of this line, with slope m = -3, (x₁, y₁) = (1, -5).

Substituting these values in the equation y - y₁ = m(x - x₁), we get

Let the equation be y - -5 = -3(x - 1)

simplifying the equation, we get

y = -3x + 3 - 5

y = -3x - 2

3x - y = 2

The equation of the line in the slope-intercept form exists y = -3x - 2

The equation of the line in the standard form exists 3x - y = 2.

We draw the locations (1,-5) (because it is obvious that the line goes through this location) and (0, 2) (since the y-intercept is at 2 and the line passes through the point (0, 2)) in order to graph this line. We draw a line connecting these places, then we expand it on both sides to create the necessary line.

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Graph the line with slope -3 passing through the point (1,-5)

Help ASAP Find the measure of 2.

21
69
111

Help ASAP Find the measure of 2.2169111

Answers

Answer:

69°

Step-by-step explanation:

m∠1 + 111° = 180° ⇒ m∠1 = 69°

m∠1 = m∠2 = 69°

Given the third term is 12 and the rate of change is 3. What is the first 5 terms ?

Answers

Answer:

6, 9, 12, 15, 18

Step-by-step explanation:

If the third term is 12, then to find the first term subtract 3 twice (or just subtract 6) to get 6. To find the rest of the terms add 3 accordingly. The equation to find this would be:

a_n = 6 + (n-1)3

Solve the triangle. Round your answers to the nearest tenth. 27 degrees

Sorry never mind! Got it! Can’t delete!

Answers

One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.

The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.

To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.

To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.

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The area of a triangle is 75 square units with a scale factor of 1 to 4 Find the area of the preimage preimage

Answers

The area of the pre-image is 300 square units

Area of triangle

A triangle is a 2D shape that has a 3 sides and angles. The formula for calculating the area is expressed as;

Area= 1/2 * bh

where

b is the base of the triangle

h is the height of the triangle

Given the following parameters

Area of triangle = 75 square inches

If the area is increased with with a scale factor of 1 to 4, then

Area of pre-image = 4 * 75

Area of pre-image = 300 square units

Hence the area of the pre-image is 300 square units

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Name a point on the given line, then find the slope of the line. y + 2 = 3/2 (x + 7)

Answers

Answer:

y = (3/2)x + 17/2

Slope: 3/2

Step-by-step explanation:

y + 2 = 3/2 (x+7)

y + 2 = (3/2)x + 21/2

y = (3/2)x + 21/2 - 2

y = (3/2)x + 21/2 - 4/2

y = (3/2)x +17/2

"What is the rest wavelength of an emission line observed at 2148 nanometers in a galaxy 100
Megaparsecs away from the Milky Way? Your answer should be significant to four digits."

Answers

The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.

The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.

In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.

Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.

The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.

To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)

Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.

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HELP ME PLEASEEEEEEE

HELP ME PLEASEEEEEEE

Answers

Answer:

(-3, -2)

Step-by-step explanation:

The point is at -3 on the x, and -2 on the y. make sure to include x first in the coordinates! (x, y)

brainliest plz if someone else answers

use a model to solve 52×37​

Answers

Answer:

She said it was this

Step-by-step explanation:

1924

use a model to solve 5237

Michael has 5 quarts of honey he is putting into jars. He separates each quart into fourths and wants to put 1/4 quart in each jar. How many jars can he fill?

Answers

ANSWER: ⇒ 20

Formulate:

5 ÷ ¹/₄

Calculate:

⁵/1/₄

Divide a fraction by multiplying its reciprocal:

5 × 4

Calculate the product or quotient:

20

Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations? A line includes points 1 comma negative 3 and 3 comma negative 7. A line includes points 3 comma negative 7 and 6 comma negative 6. 4x + 2y = −2 x − 3y = 24 The slopes are different, and the y-intercepts are different. The slopes are different, and the y-intercepts are the same. The slopes are the same, and the y-intercepts are different. The slopes are the same, and the y-intercepts are the same.

Answers

The following can be determined about the slopes and y-intercepts of the system of equations: A. The slopes are different, and the y-intercepts are different.

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.

Based on the information provided above, we have the following system of equations in standard form:

4x + 2y = −2

x − 3y = 24

By rewriting system of equations in slope-intercept form, we have:

y = -2x - 1  ⇒ m = -2, b = -1

y = x/3 - 8  ⇒ m = 1/3, b = -8

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i dont understand this

i dont understand this

Answers

We can Add 7 black beads to make ratio 3 : 1.

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3    

Both sides divisible by 3; reduce ratio

= 3 : 1        

Which is Correct ratio

Hence, There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore , we need to add 7 black beads.

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Referring to the figure, the two rectangles shown have
equal areas. Find the value of x.

Referring to the figure, the two rectangles shown have equal areas. Find the value of x.

Answers

Answer:

x = 2

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

given the rectangles have equal areas then equating the two areas gives

4x × 9 = 4(6x + 6) , that is

36x = 24x + 24 ( subtract 24x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2


Find the value that makes each equation true.

A. 110%n=11 n=

B.
(328 x 128) x k = 328 x (82 x 128)

K=

Answers

Answer:

A. \(n=100\)
B. \(k=0\)

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.

Andrew is building a gate in his fence in the shape of a trapezoid.

What is the area of the gate?

Andrew is building a gate in his fence in the shape of a trapezoid.What is the area of the gate?

Answers

ANSWER: 16FT  

SOLUTION IN IMAGES

Andrew is building a gate in his fence in the shape of a trapezoid.What is the area of the gate?
Andrew is building a gate in his fence in the shape of a trapezoid.What is the area of the gate?

Sheila has 5 times as many markers as dave. together they have 18 markers. How many markers does sheila have

Answers

Answer:

15

Step-by-step explanation:

Let, x, represent the value of Dave's markers. You then make the equation (5x+x=18) because both markers combined is 18 and Sheila has 5 times the markers of Dave so her value would represent 5x. Solving the equation would get you x=3 BUT THAT IS THE VALUE OF DAVE'S MARKERS! The question asks for Sheila's with is 5*3. So the answer is 15 markers.

Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10​

Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10

Answers

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

How to find the elements in a set?

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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a shopkeeper buys chewing gum from a wholesale dealer $1 for five pieces. Then he sells it to the customer at $1 for four pieces. what is his profit percentage?​

Answers

Answer:

9

Step-by-step explanation:

it should be that should be the answer it should be 9 bcuz he bout gum for 1 he got 5 peaces so dets 5$ then someone else got sumthing for 1$ and they got 4 peicea so thats 4$ 5+4 is 9

Fran and Jill made a new years resolution to ride bikes. Fran rode 40 miles last week
and plans to ride 55 miles per week. Jill rode 70 miles last week and plans to ride 45
miles per week. Predict the week in which Fran and Jill will have ridden the same
number of miles.

A.) 4 weeks

B.) 3 weeks

C.)They will never ride the same number

D.) 5 weeks

Answers

If Fran and Jill made a new years resolution to ride bikes.  it will take 3 weeks for Fran and Jill to have ridden the same number of miles..

How to find the number of weeks?

Let's assume that it takes "x" number of weeks for Fran and Jill to ride the same number of miles.

In the first week, Fran rides 40 miles, and Jill rides 70 miles.

In the "x"th week, Fran will have ridden a total of 40 + 55x miles.

In the "x"th week, Jill will have ridden a total of 70 + 45x miles.

For Fran and Jill to ride the same number of miles in "x" weeks, we need to solve the following equation:

40 + 55x = 70 + 45x

Simplifying this equation, we get:

10x = 30

x = 3

Therefore, it will take 3 weeks for Fran and Jill to have ridden the same number of miles.

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The American Population is living longer. Along with the longevity of life comes additional challenges with both medical and Psychiatric problems. Your patient is about to be discharged from a short-tern rehab center. You overhear the daughter confiding in the nursing student that she cannot handle her mother and will be looking for a Memory care unit to put her mother in. You also hear the student nurse who was raised in a foreign country state, " I would NEVER put my mother in a home. I would take care of her woth my two sisters junti she dies.

what considerations might you make withthis students. Address the cultural differneces in elder care and adress the conself od "Role Strain" in caring for special populations.

Answers

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

What is the cultural Strain?

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

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Which expression is equivalent to 12(6x+12)? A. 6x+14 B. 12x+1 C. 3x+12 D. 3x+14 please answer

Answers

Step-by-step explanation:

B.12x + 1

if it helps brainiest lol

nevermind i dont nedd help

nevermind i dont nedd help

Answers

Answer:

question (a)  equals 980

Step-by-step explanation:

question (a) would equal 980 because if they charge $490 for 20 yards, they would charge $980 for twice the amount of dirt, so it is twice the price

20    (x2)   40

------    =    ------

490  (x2)  980

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