Write the equation of a line with the given slope that goes through the given point.
7) through: (3, -5), slope = -1
5
8) through: (3, 2), slope
3

Write The Equation Of A Line With The Given Slope That Goes Through The Given Point.7) Through: (3, -5),

Answers

Answer 1

Answer:

  7) y +5 = -(x -3)

  8) y -2 = 5/3(x -3)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

7) y +5 = -(x -3)

8) y -2 = 5/3(x -3)


Related Questions

Which equations are true equations?


Select all correct answers.

24/2^2=50−62−8


56÷8+32=2⋅23


82−52=42−7


39−3⋅6=6⋅104+4

Answers

Answer: 24/2^2=50−62−8

Step-by-step explanation:

The equations which is true equation is 24/2² = 50−6²−8.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

1. 24/2² = 50−6²−8

LHS = 24/2² = 24/4 = 6

RHS = 50−6²−8 = 6

2. 56÷8+32=2⋅23

LHS = 56÷8+32 = 7 + 32 = 39

RHS = 2⋅23 = 46

3. 8²−5² =4²−7

LHS = 8²−5² = 39

RHS = 4²−7 = 21

4. 39−3⋅6=6⋅104+4

LHS = 39−3⋅6 = 35.4

RHS = 6⋅104+4 = 528

Hence, we can conclude that the equation 24/2² = 50 − 6² − 8 is true.

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Holly spent a total of $28 to buy candy for his soccer team. He bought chocolate that cost $2 per bag and gummy that cost $3 per bag. There are 12 people on the team and each person only get one snack. x = bag of pretzel y = bag of chip
How many bars of chocolate did Holly buy?

Answers

Answer:

8 chocolate bars

Step-by-step explanation:

I don’t anderstands but i wanna help

Answers

What do you Exactly want help with

nicole is making carrot bread. she needs 5 cups of carrots for every 2 cups of sugar. what is the ratio of cups of sugar to cups of carrots that nicole will need?

Answers

Answer:

2:5 ratio.

for every 2 cups sugar, she needs 5 cups carrots

hope this helps

Please help on both. I’m not sure of my answrs before I submit. Thank u :)

Answers

Seems pretty good good job

I need Unit 3 parallel and perpendicular lines Homework 5 slope of lines it’s due today!

Answers

14. Slope (m) of PQ = -4

Slope (m) of RS = 1/4

The lines are perpendicular.

15. mPQ = -3

mRS = 3

They are neither perpendicular nor parallel lines.

16. mPQ = 0

mRS = 0

The lines are parallel.

17. x = -6

18. x = -2

What are the Slopes of Parallel and Perpendicular Lines?

If two lines have the same slope (m), then both lines are parallel to one another. On the other hand, if the slopes of two lines are negative reciprocals to each other, then both lines are regarded as perpendicular lines because the product of their slopes is equal to -1.

Slope (m) = change in y / change in x

14. Slope (m) of PQ = (-3 - 17) / (1 -(-4))

Slope (m) of PQ = -20/5 = -4

Slope (m) of RS = (4 - 3) / (-5 -(-9))

Slope (m) of RS = 1/4

(1/4)(-4) = -1, therefore, the lines are perpendicular.

15. Slope (m) of PQ = (-1 - 14) / (2 -(-3))

Slope (m) of PQ = -15/5 = -3

Slope (m) of RS = (-10 - 8) / (-2 - 4)

Slope (m) of RS = -18/-6 = 3

They are neither perpendicular nor parallel lines.

16. Slope (m) of PQ = (-1 - (-1)) / (-3 - 2)

Slope (m) of PQ = -0/-5 = 0

Slope (m) of RS = (9 - 9) / (-7 -(-11))

Slope (m) of RS = 0/4 = 0

The lines are parallel.

17. If CD║EF, their slope will be equal. Therefore:

Slope of CD = slope of EF

(-4 - 16)/(2 - x) = (4 - 14)/(-2 -(-6))

-20/(2 - x) = -10/4

-20/(2 - x) = -5/2

Cross multiply

-20(2) = -5(2 - x)

-40 = -10 + 5x

-40 + 10 = 5x

-30 = 5x

-30/5 = x

-6 = x

x = -6

18. Slope of JK = slope of l

(-5 -(-8))/(-1 - x) = 6/2

3/(-1 - x) = 3

3(-1 - x) = 3

-3 - 3x = 3

-3x = 3 + 3

-3x = 6

-3x/-3 = 6/-3

x = -2

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Write the equation for 5x+ 2 y= 3 in slope-intercept form PLEASE HELP ME

y= -5/2x+ 3x

y=5/3x -3/5

y= -2/5x + 3/5​

Answers

Answer:

y=-5/2x+3/2

Step-by-step explanation:

5x+2y=3

2y=3-5x

2y=-5x+3

y=-5/2x+3/2

2 x 3 2 x 7 = what Prime Factorization ?

A. 42

B. 84

C. 126

D. 252

Answers

Answer:

It's B

And Prime Factorization is when 2 numbers have the same answer.

Example: 3x8=24 and 4x6=24

Step-by-step explanation:

PLEASE HELP ME I NEED HELP

Answers

Answer:

  3052.1 in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = 4/3πr³ . . . . r is the radius

The radius is half the diameter, so is 9 in. Then the volume is ...

  V = (4/3)(3.14)(9 in)³ = 972(3.14) in³ ≈ 3052.1 in³

I need help with this

Answers

Answer:

What do you need help with? Try uploading a picture or copying the question

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

Step-by-step explanation:

y = 4/3x

you can see the line passes through (0,0)

the next point it passes through is (3,4)

(y2-y1)/(x2-x1)

(4 - 0)/(3 - 0)

4 / 3

the slope = 4/3

meaning it goes up 4 and right 3 from point to point

HELP ME FAST 15 POINTS

Answers

Answer:

Option 2

Step-by-step explanation:

An inverse ralation is where the x and y coordinate values are reversed. In other words you just need to switch the x's and y's.

So from the definition above the right answer is

{(3,0),(2,-5),(7,4),(2,-8)}

The maximum weight of a shipping container is 125 pounds.
What is the maximum weight in kilograms?
Round to the nearest kilogram.

Answers

Answer:

57kg

Step-by-step explanation:

The maximum weight of a shipping container would be 57 kilograms.

What are units of measurement?

The units of measurement are a collection of units used to quantify various physical quantities. Since ancient times, humans have measured these things using a variety of units, including length, mass, volume, current, and temperature.

The maximum weight of a shipping container is 125 pounds which are given in the question.

We have to determine the maximum weight in kilograms

We know that the unit conversion of pounds to kilograms as

1 pound ≈ 0.45359237 kilogram

Multiply by 125 to get

125 pounds = 0.45359237 × 125 kilograms

125 pounds = 56.69904625 kilograms

Round to the nearest kilogram,

125 pounds = 57 kilograms

Therefore, the maximum weight of a shipping container would be 57 kilograms.

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can anyone please solve this​

Answers

Answer:

Its ether 3 or 4.

Step-by-step explanation:

its more than likely its 4 but I wasn't %100 sure.

Pls help me
With the hard math problem

Answers

Answer:

A) For the first 10 minutes, the train travels 4 miles.B) The train stops at two stations before it arrives at Springfield. The first station is 4 miles from Metro center. The second station is 8 miles from Metro center.C) The longest time the train travels without stopping is 10 minutes.D) It takes 20 minutes to get from Metro center to Springfield

Hoped this helped.

[tex]BrainiacUser[/tex]

How many screeches are equal to 20 meows? 20 meows = 12 laughs 3 laughs = 2 purrs 40 purrs = 120 screeches Explain how you got there.

Answers

Answer:

24 screeches = 20 meows.

Step-by-step explanation:

Calculate purrs:

12/3 = 4

4*2= 8

Use purrs to calculate screeches:

Set up a proportion: [tex]\frac{8}{x} = \frac{40}{120}[/tex]Solve proportion by cross-multiplying8*120 = 960960/40 = 24 screeches

I don’t know how to simplify this fully;15x/5xy

Answers

Answer:

3/y

Step-by-step explanation:

15x

5xy

you would divide top and bottom by 5x, since it is their only common divisor.

you would then get 3/y. hope this helps

Verify the following identity:

[tex]\dfrac{1-\sin t}{\cos^2t}+\dfrac{1}{1-\sin t}=2\sec^2t[/tex]

Answers

We will simplify the left hand side of the equation to look like the right

[tex]\displaystyle \frac{1-sin(t)}{cos^{2}(t)} + \frac{1}{1 - sin(t)}[/tex]

taking the LCM

[tex]\displaystyle \frac{[1-sin(t)]^{2} + cos^{2}(t)}{[cos^{2}(t)][1 - sin(t)]}[/tex]

expanding the binomial in the numerator

[tex]\displaystyle \frac{[1 + sin^{2}(t) - 2sin(t) + cos^{2}(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]

Since sin²x + cos²x = 1

[tex]\displaystyle \frac{[2 - 2sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]

factoring out the 2 from the numerator

[tex]\displaystyle \frac{2[1 - sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]

1-sin(t) will cancel out

[tex]\displaystyle \frac{2}{cos^{2}(t)}[/tex]

since cos²(t) = 1/(sec²(t))

[tex]2 sec^{2}(t)[/tex]

which is equal to the right hand side of our given equation.

So we verified the identity!

Answer:

[tex]\rm 2 \sec {}^{2} T[/tex](Verified identity)

Step-by-step explanation:

Please refer to the attachment for calculations.

I hope this helps!

What is the average rate of change for this quadratic function for the interval
from x= -5 to x= -3?
A. 16
ОО
B. -8
C. 8
D. -16

Answers

Answer:

hi the answer should be C or 8

Step-by-step explanation:

Hope this helps!

Answer:

8

Step-by-step explanation:

The average rate of change is given by

f(x2) -f(x1)

---------------

x2-x1

x2 = -3  and x1 = -5

Looking at the graph

f(x2) = f(-3) = 1

f(x1)= f(-5) =-15

Substituting these values into the equation

1 - (-15)

---------------

-3 - (-5)

1+15

----------

-3 +5

16

----

2

8

7. A shopkeeper sold a pen set for 180 at a profit of 30. To make a profit of 26%, what should be the selling price of the pen set? 1otor​

Answers

[tex]\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}[/tex]

[tex]selling \: price \: of \: pen = 180 \: rs \\ profit = 30 \: rs \\ cost \: price = selling \: price - profit \\ = > 180 - 30 \\ = > 150 \: rs[/tex]———————————required profit = 26%

so ,

[tex]new \: selling \: price = 150 + \frac{26}{100} \times 150 \\ = > 150 + 39 \\ = > 189 \: rs[/tex]

———————————thuѕ, thє nєw ѕєllíng prícє σf pєn ѕєt wíll вє rѕ. 189

hσpє hєlpful~

Based on the information given the selling price of the pen set is $189.

Using this formula

Selling price=Selling price of pen+(Profit percentage× Selling price of pen)

Let plug in the formula

Selling Price=$150 +( 26% ×$150)

Selling Price=$150 +$39

Selling Price=$189

Inconclusion  the selling price of the pen set is $189.

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Find the roots of the equation
x^2 +7= 2x
express your answer in simplest a +bi form

Answers

[tex]x^2+7=2x\\\\\implies x^2 -2x +7 =0\\\\\text{Apply quadratic formula,}~ x =\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{in this case,}~ a = 1, b= -2 ~\text{and}~ c = 7\\\\\\x= \dfrac{-(-2) \pm \sqrt{(-2)^2 -4\cdot 1 \cdot 7}}{2\cdot 1}\\\\\\\implies x =\dfrac{2 \pm \sqrt{-24}}{2}\\\\\\\implies x = \dfrac{2 \pm i\sqrt{24}}2\\\\\implies x =\dfrac{2 \pm i2\sqrt{6}}2\\\\\implies x = \dfrac{2\left(1 \pm i \sqrt 6\right)}2\\\\\implies x = 1 \pm i\sqrt 6\\\\[/tex]

[tex]\text{Hence,}~ x = 1-i\sqrt 6 ~\text{or}~ x = 1+i\sqrt 6[/tex]

is 4.57691 rational?

Answers

Answer:

Possibly

Step-by-step explanation:

Depending on how the number is depicted, there are some easy tells. If the number is an integer, or a finite decimal, or decimal with an infinitely repeating portion (like ), or a fraction with integers, finite decimals, or repeating decimals

-4x -2 + 3x - 10 How many terms are there? SIMPLIFY. What is the coefficient of x?

Answers

Answer:

Number of coefficients of x: 2 coefficients (-4 and 3)

Number of terms: They're 4 terms. (-4x, -2, + 3x, and -10)

Simplified: - x - 12

Step-by-step explanation:

1) Subtract the numbers.

-4x - 12 + 3x

2) Combine like terms.

- x - 12

Danielle wants to buy a magazine for $11. The sales tax is 5%. How much would the total cost of the magazine be with tax included?

Answers

Answer:

$11.55

Step-by-step explanation:

If we convert the percentage to 1.05 and multiply it by 11, it's 11.55.

Can someone plz help :(((((

What is the area, in square inches, of the rectangle?

Answers

Answer:

What are the side lengths?

James has $7.60 in nickels and quarters. He has 4 fewer nickels than quarters. How many of each coin does he have? ​

Answers

26 quarters, 22 nickels

does 12 11 and 7 make a right triangle

Answers

Answer: no

Step-by-step explanation: hope it helps

the monthly income of a family is rs 2500 the ratio of the expenditure and saving is 3:2 find amount of saving.​

Answers

Answer:

The amount of saving is Rs.1000.

Step-by-step explanation:

Solution :

Let the,

>> Expenditure = 3x>> Saving = 2x

So, solving for x.

[tex]{\dashrightarrow{\tt{Expenditure + Saving = 2500}}}[/tex]

[tex]{\dashrightarrow{\tt{3x + 2x = 2500}}}[/tex]

[tex]{\dashrightarrow{\tt{5x = 2500}}}[/tex]

[tex]{\dashrightarrow{\tt{x = 2500 \div 5}}}[/tex]

[tex]{\dashrightarrow{\tt{x = \dfrac{2500}{5}}}}[/tex]

[tex]{\dashrightarrow{\tt{x = \cancel{\dfrac{2500}{5}}}}}[/tex]

[tex]{\dashrightarrow{\tt{x =500}}}[/tex]

[tex]{\star{\underline{\boxed{\tt{\red{x =500}}}}}}[/tex]

Hence, the value of x is 500.

Thus,

>> Expenditure = 3 × 500 = Rs.1500>> Saving = 2 × 500 = Rs.1000

[tex] \rule{300}{1.5}[/tex]

What is the length of DF?
F
За
IT
E
G
a +6
D
DF =

Answers

Answer:

  18

Step-by-step explanation:

Triangles FEG and DEG are congruent by SAS, so DG = FG.

  a+6 = 3a

  6 = 2a

  3 = a

  3a = 3·3 = 9 = FG = DG

DF = 9+9 = 18

Given g(x)=-x+4g, solve for x when g(x)=8

Answers

Answer:g(-4)=8

Step-by-step explanation:

Answer:

Step-by-step explanation:

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