Through: (-5,3) , perp. To y=5x+2

Answers

Answer 1

Answer:

Slope of the given line=-5

Slope of the perpendicular line=1/5 [reciprocal with opposite sign]

Required equation is (y+4)=1/5(x+5)

5y+20=x+5

x-5y=15

Without using slope

Equation of the given line is 5x+y=3

Equation of the perpendicular line is x-5y=k [interchange the coefficient of x and y

and put opposite sign for y and equating the equation to k]

This line passes through (-5,-4)

-5+20=k therefore k=15

The required equation is x-5y=15


Related Questions

Right Answers Only!

In a bag full of small balls, 1/4 of these balls are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?

Answers

Answer:

6

Step-by-step explanation:

First, find common denominators for the fractions given. In this case, it will be 24. Remember that what you multiply to the denominator, you multiply to the numerator:

(1/4) x (6/6) = 6/24

(1/8) x (3/3) = 3/24

(1/12) x (2/2) = 2/24

(6/24) + (3/24) + (2/24) = (6 + 3 + 2)/24 = (11)/24

11/24 of the balls are NOT white.

Find the amount that are white. Subtract 11/24 from the total, 24/24:

24/24 - 11/24 = 13/24

Multiply:

26 * (1/8)/(13/24) = (26/8)/(13/24) = (13/4) * (24/13) = (24/4) = 6

6 is the amount of blue balls there are in the bag.

~

Hey!

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

1/4 are green.

1/8 are blue.

1/12 are yellow.

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

Solution:

= 1/4 + 1/8 + 1/12

= 6/24 + 3/24 + 2/24

= 11/24

1 - 11/24 = 13/24

13/24 are white.

13x/24 = 26

13x/24 * 24 = 26 * 24

13x = 624

13x/13 = 624/13

x = 48

To find how many blue balls just divide by 8.

48/8 = 6

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

Answer:

There are 6 blue balls.

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

Hope This Helped! Good Luck!

2 thousands 7 tens dividido en 10

Answers

2700 divide by 100 is 270

last question of my homework pls <3​

Answers

Answer:

J(2, 5 )

Step-by-step explanation:

Using the section formula

[tex]x_{J}[/tex] = [tex]\frac{1(-2)+2(4)}{2+1}[/tex] = [tex]\frac{-2+8}{3}[/tex] = [tex]\frac{6}{3}[/tex] = 2

[tex]y_{J}[/tex] = [tex]\frac{1(1)+2(7)}{2+1}[/tex] = [tex]\frac{1+14}{3}[/tex] = [tex]\frac{15}{3}[/tex] = 5

Thus J = (2, 5 )

Which number line best represents the solution set for the inequality 3(8-4x)<6(x-5)

Answers

There you go!!! Let me know if you have questions also!! Please check me out as a tutor with quick tutor app for IOS!! My name on there is Oziel Tijerina!! All you have to do is create a profile. Thanks

Malik stops at the grocery store to buy a bag of diapers and 2 cans of formula. He spends a total of $37. The next week he stops and buys 2 bags of diapers and 5 cans of formula for a total of $87. How much does a bag of diapers cost? How much is one can of formula?

Answers

Answer:

The cost of one bag of diapers is $11 and the cost of one can of formula is $13

Step-by-step explanation:

Let

x -----> the cost of one bag of diapers

y ----> the cost of one can of formula

we know that

[tex]x+2y=37[/tex] -----> equation A

[tex]2x+5y=87[/tex] ----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

The solution is the point (11,13)

see the attached figure

therefore

The cost of one bag of diapers is $11 and the cost of one can of formula is $13

Final answer:

The cost of one bag of diapers is $11, and the cost of one can of formula is $13, as determined by solving a system of two linear equations that describe Malik's purchases.

Explanation:

The student is presented with a system of linear equations based on the purchases made by Malik at different times. The purchases involve a bag of diapers and cans of formula, with the total amounts spent being provided. This information can be turned into a system of equations to solve for the price of one bag of diapers and the price of one can of formula.

Let D represent the cost of one bag of diapers and F represent the cost of one can of formula. From the given information, we can construct the following equations:

D + 2F = $37 (Equation 1: One bag of diapers and two cans of formula cost $37)

2D + 5F = $87 (Equation 2: Two bags of diapers and five cans of formula cost $87)

Now, let's solve this system of equations using the method of substitution or elimination. For simplicity, let's use the elimination method:

Multiply Equation 1 by 2, so it can be arranged to eliminate D:
2D + 4F = $74

Subtract Equation 1 modified from Equation 2:
(2D + 5F) - (2D + 4F) = $87 - $74,
which simplifies to F = $13.

Now plug the value of F back into Equation 1:
D + 2($13) = $37,
D + $26 = $37,
therefore D = $37 - $26,
D = $11.

Therefore, the cost of a bag of diapers is $11, and the cost of one can of formula is $13.

Simplify 6-square root 25/4

Answers

Answer:

1/4 or 0.25

Step-by-step explanation:

sqr root 25 = +- 5, but in this case we only worry about the positive root values

we exchange root 25 or 5 to get a new equation (6-5)/4

we solve the numerator (6-5= 1) then divide by the denominator to get 1/4 or 0.25

By the process of simplification, the required answer is 0.25

What is simplification?

At first, it is important to know about mathematical expression. Mathematical expression consist of numbers connected by addition, subtraction, multiplication and division.

Simplification is the process of reduction of mathematical expression into a simple form.

Here,

[tex]\frac{6 - \sqrt{25}}{4}\\\frac{6-5}{4}\\\frac{1}{4}\\0.25[/tex]

The required answer is 0,25

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Please answer with a detailed explanation. Thank you!

Answers

Answer:

This answer is 8

Step-by-step explanation:

It actually is very simple. For this question you do not even need the g(x) equation to continue, so put it aside for now. F(x) means that whatever number that will take the place of x will be used in this equation. If f(x)=3x-1, then f(3)=3(3)-1

This happens because the 3 in f(3 tells you to substitute x for 3 in the equation. ) So just plug in 3 for x and solve to get the answer 8.

Answer:

This answer is 8

Step-by-step explanation:

Circle Q is shown. Secant L N and tangent P N intersect at point N outside of the circle. Secant L N intersects the circle at point M. Arc M P is y, arc L P is x, and arc M L is z.
Which equation is correct regarding the measure of ∠MNP?

m∠MNP = One-half(x – y)
m∠MNP = One-half(x + y)
m∠MNP = One-half(z + y)
m∠MNP = One-half(z – y)

Answers

Answer: FIRST OPTION.

Step-by-step explanation:

By definition, the "Angle formed by a Tangent and a Secant" is:

[tex]Angle\ formed\ by\ Tangent\ and\ Secant=\frac{1}{2}({Difference\ of\ Intercepted\ Arcs)[/tex]

In this case you can identify in the figure that the Intercepted Arcs are:

 [tex]LP=x[/tex] and [tex]PM=y[/tex]

And the Angle formed by the tangent and the secant is:

[tex]\angle MNP[/tex]

Therefore, the following equation can be used to calculate the measure of the angle ∠MNP:

[tex]m\angle MNP=\frac{1}{2}(LP-PM)\\\\m\angle MNP=\frac{1}{2}(x-y)[/tex]

This matches with the First option.

Answer:

A.

Step-by-step explanation:

is 3 power of 2 a rational,integer whole number or real

Answers

Answer:

All four sets of numbers

Step-by-step explanation:

3 to the power of 2 is 9.  real numbers are all numbers, whole numbers are the counting numbers plus zero, integers are whole numbers with their opposites ( 3 and -3), rational numbers are any numbers that can be written as a fraction, or is a decimal with an end or a repeated pattern to it.

6(k-5)<-6, solve for k

Answers

Answer:

k > 4

Step-by-step explanation:

Answer:

k< 4

Step-by-step explanation:

6(k-5)<-6

divid by : 6       (k-5)<-1

add : 5    k<-1+5

k< 4

What does ‘? m/s = 25.2 km/h’ mean and how do you complete it?
Thanks x

Answers

Answer:

Answer is 7

Step-by-step explanation:

you can see in above picture

Step-by-step explanation:

This is a unit conversion problem it seems.

Basically, you're trying to take 25.2 km/h and turn that into m/s.

Let's convert hours to seconds first, so you can sort of see what I mean:

[tex]\frac{25.2km}{1 hour}*\frac{1hour}{60 minutes}*\frac{1minute}{60seconds}[/tex]

So now we've done the first part of the equation, dealing with hours to seconds. See how we now have seconds in the denominator instead of hours? (Keep in mind, we don't want to multiply everything until the very very end!)

Now let's turn kilometers into meters (kilo- means thousand):

[tex]*\frac{1000meters}{1kilometer}[/tex]

Now that we have that, let's multiply out the full equation to get our answer!

[tex]\frac{25.2*1000}{60*60} =7[/tex]

Therefore our answer is the nice and satisfying 7.

Answer:

7

Use the given D to find the range of each function: a f(x)=3x−5, D={−1, 0, 3}

Answers

Answer:

Given the domain D = {-1, 0, 3}, the range of f(x) = 3x - 5, is {-8, -5, 4}.

Step-by-step explanation:

To find the range you have to replace the values indicated by the domain in the function (range refers to "y" values of the function).

f(-1) = -8

f(0) = -5

f(3) = 4.

So the range for the given domain is  {-8, -5, 4}.

Answer:  The required range of the given function is {-8, -5, 4}.

Step-by-step explanation:  We are given to find the range of the following function :

[tex]f(x)=3x-5,~~D=\{-1,0,3\}.[/tex]

Since the domain D contains points -1, 0 and 3, so the range will be the following set :

{f(-1), f(0), f(3)}.

We have

[tex]f(-1)=3(-1)-5=-3-5=-8,\\\\f(0)=3\times0-5=-5,\\\\f(3)=3\times3-5=4.[/tex]

Thus, the required range of the given function is {-8, -5, 4}.

Darelene has 3/4 lb. of almonds. She needs to share it equally among 6 freinds. How many will each freind be given ( please show step by step explanation)

Answers

Answer:

1/8 lb. of almonds for each of her 6 friends

Step-by-step explanation:

So i'm doing this in school too. This is how I would do it.

She has 3/4 lb. of almonds, and she needs to split it with 6 friends.

So what you would do is do 3/4 ÷ 6/1

To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply. Cancelling by a common factor of 3 gives 1 /8.

I hope this helps!

You are on a hockey team your time on the ice is 12 minutes per game per season is 20 games how many minutes do you play during the season

Answers

I’m not 100% sure but I think 240 minutes because if you play 12 minutes 20 times then it’s 240 per season

For h(x) = x - 5, find the value of x for which h(x) = -7.

Answers

Answer:

x=2

Step-by-step explanation:

2x+1=5

2x+1−1=5−1

2x+0=4

2x=4

2x2=42

2

x2

=2

x=2

Final answer:

To find the value of 'x' for h(x) = -7 in the function h(x) = x - 5, you would solve the equation for 'x' which results in x = -2.

Explanation:

To find the value of 'x' when h(x) = -7 for the function h(x) = x - 5, you have to solve the equation for 'x'. This involves setting the function equal to -7, and then solving for x. Here are the steps:

Set up the equation: h(x) = -7 => x - 5 = -7 Add 5 to both sides of the equation to isolate the variable 'x': x = -7 + 5 Solve the equation: x = -2

So, the value of x for which h(x) = -7 in the function h(x) = x - 5 is -2.

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Round 10.213 to the nearest whole number.

Answers

Answer:

10.2

Step-by-step explanation:

remove .13 from there

Answer:10

Step-by-step explanation:

10.213

10.(2)13

if it smaller than 5 you round down

if its larger than 5 you round up

Malik stops at the grocery store to buy a bag of diapers and 2 cans of formula. He spends a total of $37. The next week he stops and buys 2 bags of diapers and 5 cans of formula for a total of $87. How much does a bag of diapers cost? How much is one can of formula?

Answers

Answer:

Diapers costs $11 and formula is $13.

Step-by-step explanation:

Let's name diapers as A and formula as B.

Simply the equations:

1A + 2B = $37(1)

2A + 5B = $87(2)

Clear D from one equation.

A = $37 - 2B(1)

Replace D into the other equation.

2*($37 - 2B) + 5B = $87(2)

$74 - 4B + 5B = $87

$74 + B = $87

B = $87 - $74 = $13

Find A, now knowing B.

A = $37 - 2($13)

A = $37 - $26 = $11

Answer:

Cost of a bag of diapers is $11 and cost of one can of formula is $13.

Step-by-step explanation:

Let cost of each diaper = $D and cost of each cans of formula = $C

Malik shops a bag of diapers and 2 cans of formula.

He spends total of $37.

So the equation will be

D + 2C = 37 -------(1)

Next week he stops and buys 2 bags of diapers and 5 cans of formula.

He spends total $87.

Equation for this purchase will be

2D + 5C = 87 ----------(2)

Multiply equation (1) by 2 and subtract it from equation (2).

2(D + 2C) - (2D + 5C) = 2×37 - 87

2D + 4C - 2D - 5C = 74 - 87

-C = - 13

C = 13

From equation (1)

D + 2×13 = 37

D + 26 = 37

D = 37 - 26

D = 11

Therefore, cost of a bag of diapers is $11 and cost of one can of formula is $13.

Given right triangle PQR, which represents the value of sin(P)? StartFraction R P Over R Q EndFraction StartFraction R P Over P Q EndFraction StartFraction R Q Over P Q EndFraction StartFraction R Q Over P R EndFraction

Answers

Answer:

StartFraction R Q Over P Q EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle PQR the function sine of angle P is equal to divide the opposite side to angle P (segment RQ) by the hypotenuse (segment PQ)

so

[tex]sin(P)=\frac{RQ}{PQ}[/tex]

therefore

StartFraction R Q Over P Q EndFraction

Answer:

Answer C

Step-by-step explanation:

The value of the 6 in 5426.37 is 1/10 of the value of the 6 in which number
A. 4643.92
B. 6129.83
C. 2371.67
D. 1565.44

Answers

Answer:

D

Step-by-step explanation:

the value of 6 in 5426.37 is 6 which is 1/10 of 60 so the answer is 1565.44

The answer is D. 1565.44

Graph the image ere of (-1,-7) after a reflection over the line x=-5

Answers

Answer:

See picture

Step-by-step explanation:

80 POINTS
What is the product of 1.7 × 10−13 and 3.5 × 1025?
1.8 × 10(12)
2.06 × 10(12)
3.5 × 10(12)
5.95 × 10(12)

Answers

Answer:

[tex]\large\boxed{5.95\times10^{12}}[/tex]

Step-by-step explanation:

[tex]\left(1.7\times10^{-13}\right)\times\left(3.5\times10^{25}\right)\\\\=(1.7\times3.5)\times\left(10^{-13}\times10^{25}\right)\qquad\text{use}\ a^n\times a^m=a^{n+m}\\\\=5.95\times10^{-13+25}\\\\=5.95\times10^{12}[/tex]

Answer:

its D give the guy who answered above the brainlist

Step-by-step explanation:

Verbal expression for 3n-2

Answers

Answer:

three times a number n reduced by two.

2/3•2 would be the expression

HELP ASAP PLZ !! Is triangle MNP a dilation of triangle JKL? Explain why or why not.

Answers

Final answer:

To confirm if triangle MNP is a dilation of triangle JKL, one must examine the ratios of the corresponding sides. In a dilation, a figure's size changes but its shape and the angles between its sides remain the same, and the lengths of the sides remain proportional. Without the specific measurements, it's not possible to definitively say if MNP is indeed a dilation of JKL.

Explanation:

To determine if triangle MNP is a dilation of triangle JKL, we need to examine the ratios of the corresponding sides. Dilation in mathematics is a transformation that alters the size of a figure without changing its shape or the angles between its sides. In a dilation, the lengths of the sides are proportional.

For example, if triangle MNP has sides that are twice as long as the corresponding sides of triangle JKL, then MNP is a dilation of JKL by a factor of 2.

If the sides of triangle MNP do not maintain the same proportionality with triangle JKL, then triangle MNP is not a dilation of triangle JKL. Therefore, without concrete values or further details, it's difficult to definitively answer whether MNP is a dilation of JKL.

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If KM bisects JKL, m JKL = 92, and MKL = (5x+1), find the value of x.

Answers

Answer:

x = 9

Step-by-step explanation:

The trick here is knowing that JKM and MKL are equal, which means MKL is equal to JKL/2. From that knowledge, we can solve.

MKL = JKL/2

5x + 1 = 46

5x = 45

x = 9

The value of the x is 9 if KM bisects JKL, m JKL = 92, and MKL = (5x+1).

Since KM bisects JKL, it divides the angle JKL into two congruent angles. Therefore, angle MKL is equal to angle JKL divided by 2.

Given that angle JKL is 92 degrees, we can find the value of x by setting up the following equation:

5x + 1 = 92/2

First, we simplify the right side of the equation:

92/2 = 46

Now, we can solve for x:

5x + 1 = 46

5x = 46 - 1

5x = 45

x = 45/5

x = 9

Therefore, the value of x is 9.

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- Dareonna went to get a no-chip manicure. Usually it cost $50 but there is a special going on today
and it is half off. How much will she pay to get her nails done today?

Answers

Answer:

$25

Step-by-step explanation:

because of the special sale going on, and the price being half off. You only need to divide the cost by 2.

50 ÷ 2 = 25

$25. That’s the best answer.

A reasonable estimate for 597 x 52 is

Answers

Answer: 30,000

Step-by-step explanation: Round 597 to nearest hundred and 52 to nearest ten.

Final answer:

To estimate 597 x 52, round 597 to 600 and 52 to 50, then multiply to get 600 x 50 = 30,000. Therefore, a reasonable estimate is 30,000.

Explanation:

The student has asked for a reasonable estimate for 597 x 52. To provide an estimate, we can round numbers to simplify the multiplication. In this case, we can round 597 to 600 and 52 to 50. Now, let's multiply these rounded numbers.

First, multiply 6 by 50, which equals 300.Then, since we rounded up to the hundreds, we recall that 600 is 10 times greater than 60, so we must multiply 300 by 10, which equals 3000.

Therefore, a reasonable estimate for 597 x 52 is 30,000.

what's the slope intercept for (-4,-7) and (-6,9)​

Answers

Answer:

[tex]y = -8x - 39[/tex]

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{7 + 9}{4 - 6} = -\frac{16}{2} = -8[/tex]

Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:

y - y₁ = m(x - x₁)

y - 9 = -8(x + 6)

y - 9 = -8x - 48

+ 9 + 9

______________

y = -8x - 39

__________________________________________________________

y + 7 = -8(x + 4)

y + 7 = -8x - 32

- 7 - 7

______________

y = -8x - 39

** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

if 3 pizzas serve 12 people, how many pizzas are needed for a pizza party with 68 people

Answers

Answer:

17

Step-by-step explanation:

if 3 pizzas serve 12 people then 17 pizzas can serve 68 people.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, 3 pizzas serve 12 people.

Assuming y = kx.

12 = 3k.

k = 4.

Now,

68 = 4x.

x = 17

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solve the inequality 18-5z+6z>3+6

Answers

18-5z+6z>3+6(combine like terms)
18-z>9(subtract 18)
-z>-9(divide by negative one to make z positive)
Z>9( which then makes 9 positive)

What is 7ab(2a+4b-6)

Answers

Answer:

[tex]14a^{2}b[/tex] + [tex]28ab^{2}[/tex] - 42ab

Step-by-step explanation:

Final answer:

The expression 7ab(2a+4b-6) simplifies as 14a^2b + 28ab^2 - 42ab by distributing 7ab to each number within the parentheses.

Explanation:

This question involves distribution which is a property in Mathematics. To simplify the expression

7ab(2a+4b-6), you need to distribute or multiply 7ab with each number within the parentheses. When we do this step-by-step:

7ab times 2a = 14a2b7ab times 4b = 28ab27ab times -6 = -42ab

So, the expression 7ab(2a+4b-6) simplifies as 14a2b + 28ab2 - 42ab.

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