What is the equation of the line passing through the points (-2, 2) and (3,-1)?
A.
5
y=--x+ -
3 3
4
B.
C.
y = x-4
3 4
y=-*+-
5 5
D
y = -3x + 8

Answers

Answer 1

Answer:

Step-by-step explanation:

+ Because of " the line passing through the points (-2, 2) and (3,-1)", that means this line has its equation y = ax + b where

[tex]a=\frac{2-(-1)}{-2-3} =\frac{2+1}{-5} =-\frac{3}{5}[/tex]

So we write its equation: y = -3/5 x + b.

+ Then, now, we replace x = -2 and y = 2 into y = -3/5 x + b for finding b like:

2 = -3/5 * (-2) + b or 2 = 6/5 + b

so b = 2 - 6/5 = 4/5.

And this line has its equation: y = -3/5 x  + 4/5.

Mẹthod 2:

we have a formule for a line that passes 2 points [tex](x_{0},y_{0}) , (x_{1},y_{1}) ,x_{0}\neq x_{1}[/tex]

Here is: [tex]\frac{x-x_{0} }{x_{1}-x_{0} } = \frac{y-y_{0} }{y_{1}-y_{0} }[/tex]

Then, we can write for this case:

[tex]\frac{x-(-2)}{3-(-2)} =\frac{y-2}{-1-2} \\\frac{x+2}{5} =\frac{y-2}{-3} \\-3(x+2) = 5( y-2)\\-3x-6=5y-10\\3x+5y-4=0\\or\\y=-\frac{3}{5}x+\frac{4}{3}[/tex]

P.S: You type wrongly the signs?


Related Questions

alejandro rosario or mattia polibio?

Answers

Answer:

Alejandro Rosario

Step-by-step explanation:

he is just really cute, well both of them are, but his personality seems nice.

Answer:

ale

Step-by-step explanation:

Dustin works in a department store. He earned $89.00 for working 10 hours last week. At this rate, how much would Dustin earn for working 38 hours?​

Answers

Answer:

$338.20

Step-by-step explanation:

Find out how much Dustin gets for one hour of work, since you are given how much Dustin earns in 10 hours, you divide it by 10 (the number of hours) to find one hour,

89/10=8.9

$8.9 per hour

So 38 hours would be

8.9 x 38= $338.20

Answer:

$338.20

Step-by-step explanation:

Mr. Massy started baking cupcakes at 7:15 a.m. The cupcakes finished baking at 7:40 a.m. How long did it take the cupcakes to bake?

Answers

Answer:

25 minutes

Step-by-step explanation:

If the cupcakes started baking at 7:15, then it takes 25 minutes to get to 7:40.

Answer:

he took 25 min

Step-by-step explanation:

40-15 =25

A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:

Exactly two balls are yellow

Answers

Answer:

1/6 is the probability. im pretty sure





The one-to-one functions g and h are defined as follows.
=g, , −7 1, , −4− 8, , 6 7 , 7− 3

=hx−2x3
Find the following

Answers

Answer:

g^−1(7) = 6

h^−1(x) = x/2 + 3/2

(h^−1 ∘ h)(3) = 3

Step-by-step explanation:

If

g(6) = 7

Then

g^−1(7) = 6

h(x) = 2x - 3

Isolate x:

2x = h(x) + 3

x = h(x)/2 + 3/2

Replace x with h^−1(x) and h(x) with x:

h^−1(x) = x/2 + 3/2

We know that:

(h^−1 ∘ h)(x) = x

then:

(h^−1 ∘ h)(3) = 3

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:

Answers

Answer:

80? bc yhu cant use solution a because it only has 35...i think

Step-by-step explanation:

if im wrong sorry

The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.

From the information given, we can set up the following equations:

Equation 1: The total amount of solution is 90 ounces, x + y = 90

Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90

Simplifying Equation 2:
0.35x + 0.80y = 36

To solve these equations, we can use substitution or elimination. Let's use the substitution method.

From Equation 1, we can express x = 90 - y and substitute it into Equation 2:

0.35(90 - y) + 0.80y = 36

31.5 - 0.35y + 0.80y = 360

45y = 4.5y = 10

Substituting y = 10 back into Equation 1:

x + 10 = 90

x = 80

Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

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The lowest point of elevation in the United States is at Death Valley National Park in California at 282 feet below sea level. The Dead Sea in Israel is 1,360 feet below sea level. Write a division expression that could be used to find how many times greater the Dead Sea lies below sea level than Death Valley. Then determine how many times greater. Round to the nearest whole number.

Answers

Answer:437

Step-by-step explanation:I took the test

ASAP PLS

How many cubic centimeters of water can this paper cone cup hold?
8 centimeters
192 cubic centimeters
1447 cubic centimeters
9 centimeters
216 cubic centimeters
487 cubic centimeters
Vcone =

Answers

Answer:

48π

Step-by-step explanation:

The radius is 4 and the height is 9

V=1/3*π 4^2*9

Simplify:

48π

Which of these graphs represents a function


A.w
B.x
C.y
D.z

Answers

the graph the represent a function is D.z because it shows an actual function

The correct option is D. The graph z is representing a quadratic function.

What is a quadratic function?

In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.

The general form of the quadratic functions is represented as below:-

y = ax² + bx + c

Where a,b, and c are the constants x and y are variables.

The graph of the quadratic functions will be parabolic on the x-y plane.

Therefore, the correct option is D. The graph z is representing a quadratic function.

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In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. Find the perimeter of PQRS.

Answers

Answer:

100 units

Step-by-step explanation:

Lengths of diagonals:

PR = 14

QS = 48

Since all 4 sides are equal in length, it's a rhombus

Length of each side:

sqrt[(14/2)² + (48/2)²]

sqrt(625)

25

Perimeter = 4 × 25

= 100

The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.

What is the perimeter of the shape?

The complete stretch of a shape's border is referred to as the perimeter in geometry. A shape's periphery is calculated by summing the lengths of all of its sides and borders. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.

In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. The diagonal of the rhombus intersect at a right angle. Then the side length of the rhombus is given as,

a² = (14 / 2)² + (48 / 2)²

a² = 49 + 576

a² = 625

a = 25

Then the perimeter of PQRS will be given as,

P = 4a

P = 4 x 25

P = 100 units

The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.

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there are 12 inches in 1 foot
write an equation to find the number of inches in any number of feet

Answers

Answer:

divide the number of inches by 12

Step-by-step explanation:

1/12=x/12 then you would cross multiply it

WILL MARK THE BRAINLIEST!!!!!
[only answer the 2nd and the 3rd]

Answers

Answer:

2. 120 cm^2

3. 3,750 cm^2

Step-by-step explanation:

To find the surface area of a rectangular prism, find the surface area of each side, then add them together.

2. There are two different shapes of faces on this prism (as with all rectangular prisms). One face's surface area has a measure of 4 cm by 6m. To find the surface area of that face, multiply each side length. 4 * 6 = 24. Let's call this length A.

Then, find the surface area of the other face. The other face has a measurement of 4 cm by 3 cm. 4 * 3 = 12. Let's call this length B.

Now, find the amount of each face on the prism. Length A appears 4 times: the front, back, top, and bottom are all the same shape. Length B appears 2 times: the left and right sides. Therefore, multiply length A's surface area by 4 and length B's surface area by 2.

24 * 4 =  96

12 * 2 = 24

Lastly, add both numbers together.

96 + 24 = 120

Adding the label, we get the final answer: 120 cm^2.

3. Now, apply the same steps to problem #3.

One face has a measurement of 45 cm by 25 cm. This means that the surface area of that face is 1,125 cm. Let's call this length A.

The other face has a measurement of 15 by 25. This means that the surface are of that face is 375 cm. Let's call this length B.

Length B appears 4 times, and length A appears twice. Evaluating 375 * 4, we get 1,500. Evaluating 1,125 by 2, we get 2,250.

Lastly, adding 2,250 to 1,500 and adding the label, we get the final answer: 3,750 cm^2.

Please help will be greatly appreciated

Answers

Answer:

Step-by-step explanation:

Hands you please help

(1/3)^3 Evaluate the expression. This question is designed to test your intelligence.

Answers

Answer:

1/27

Step-by-step explanation:

That means

1/3 * 1/3 * 1/3

1/9 * 1/3

1/27

Answer:

1/27

Step-by-step explanation:

(1/3)^3

1/3*1/3*1/3

1/27

what are the dimensions of a square with a perimeter of 48 inches

Answers

Answer:

Each side is 12 inches long. The area is 144 square inches.

Answer:

12 by 12 inches

Step-by-step explanation:

12 times 4  (congruent) sides =48

PLEASE HELP ON THIS QUESTION! I WILL MARK YOU BRAINLIEST IF CORRECT :) TYY

Answers

Answer:

no it's not a reflection

Step-by-step explanation:

a reflection would not be upside down like that, it would be the same thing rotated

4) If z/3 = 6, what is z equal to?

Answers

Answer:

z/3 = 6

multiply both sides by 3

z/3 * 3 = 6*3

z = 18

Which ordered pair is a solution of the equation?
2x + 4y = 6x - y

a. only 4,5
b. only 5,4
c. both 4,5 and 5,4
d. neither

pls answer​
ill mark brainliest

Answers

You Answer is: 4x - 5y = 0

Answer:

b. only 5,4

Step-by-step explanation:

In the diagram below, triangle A’B‘C‘ is a transformation of triangle ABC, and Triangle A”B”C” is a transformation of Triangle A’B’C’. Which of the following transformation will lead triangle ABC to triangle A”B”C”?





a) reflection followed by a rotation

b) translation followed by a rotation

c) translation followed by a reflection

Answers

Answer:

B. i think?

Step-by-step explanation:

what is the greatest common factor of 33,15

Answers

Answer:

The answer is 3

Step-by-step explanation:

Help please

0.3 [. ] 0.4
What is the decimal
<,> or =

Answers

The answer to that is

Please please please please please please thank please please please help me please ASAP

Answers

Answer:

4

Step-by-step explanation:

3x^2 + 2(y-1)/x+y^2

3(4)^2 + 2(3-1)/4+3^2

3x16+2x2/4+9

48+4/13

52/13

4

A concert hall sells tickets in three different price ranges. For each price range, there are both adult and child
rates.
Concert Hall Prices
Adult Child
Rates.
Which statement describes the relationship between the adult ticket prices (a), in dollars, and the child ticket
prices (c), in dollars?

Answers

It would be a.
Each child price is 1/4 of the adult one, so the equation would be adult price•1/4= child price. Or, c=1/4a (both the equations do the same thing)

Emma can run 4.5 miles in 36 minutes. How many miles can she run in 2 hours if she keeps a constant pace?

Answers

Answer:

13.34

Step-by-step explanation:

Answer:

15 miles is the answer, I hope this helps

Step-by-step explanation:

1. Set up a proportion

2. Convert 2 hours to 120 minutes

3. Cross multiply then divide the remaining number in the proportion

Will Give Brainliest
Which function can be used to model the graphed geometric sequence?

f(x + 1) = Five-sixthsf(x)
f(x + 1) = Six-fifthsf(x)
f(x + 1) = Five-sixths Superscript f (x)
f(x + 1) = Six-Fifths Superscript f (x)

Answers

Answer:

f(x + 1) = Five-sixths Superscript f(x)

Step-by-step explanation:

Answer:

The answer is A. f(x + 1) = Five-sixthsf(x)

Step-by-step explanation:

PLEASE HELP ME
I NEED IT

Answers

Answer:

[tex]\sqrt{24}[/tex]

Step-by-step explanation:

[tex]4\frac{4}{9}[/tex] cannot be correct because it equals 4.4.

[tex]\sqrt{20}[/tex] cannot be correct because it equals 4.5.

480% is 480/100 which equals 4.8 which is also not correct.

Therefore, [tex]\sqrt{24\\}[/tex] is correct because it is greater than 4.8 and less than 5.0.

The chart below shows the distribution of weeds in a yard.

A circle graph titled Lawn weeds. The largest proportion is crab grass, then dandelion, then clover, then chickweed.

A lawn-care specialist chooses a random sample from the yard and determines the number of weeds in the sample. The results of the sample are shown in the table below.

Weed Type
Number
Dandelion
2
Clover
3
Crab Grass
2
Chickweed
2

Which explains whether or not this is a representative sample?
Yes, this is a representative sample because each type of weed is represented in the sample.
Yes, this is a representative sample because each type of weed is represented approximately the same number of times in the sample.
No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
No, this is not a representative sample because each type of weed should be represented exactly the same number of times in the sample.

Answers

Answer:

Its c,No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

What is the solution to the equation sqrt5X-7= sqrt3X+5?
x = 1
x = 6
x = 12
x = 24

Answers

Answer:

X=6

Steps are in the picture

Which is the longest length?
a 1 yd. 20 in.
b 1yd. 1 ft.
С
40 in.
d 3 ft.

Answers

Answer:

a-1yd20in

Step-by-step explanation:

a-4ft 8in

b-4ft

c-3ft 4in

d-3ft

Answer:

it's A, one yard and 20 inches

Step-by-step explanation:

If you convert them all to inches,  a yard and a 20 inches are equal to 56 inches, so you can rule out the 40 inches answer. a yard and a foot are equal to 48 inches, so we can rule out that also. 3 feet is equal to 36 inches, because we know that a foot is equal to 12 inches. so you are left with A. 1 yard and 20 inches.

The diameter of a circle is 8 cm. Which equation can be used to find its circumference? WILL MARK BRAINLIEST
A. C =π×88
B. C=π × 4
C. C = 16×π
D. C=π × 8

Answers

Answer:

The equation is D. C= π × 8.

Step-by-step explanation:

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