35 POINTSThe line contains the point (-8,7) and is perpendicular to 3x+2y=-7 The equation of the line is:

Answers

Answer 1

Answer:

The answer is

[tex]y = \frac{2}{3} x + \frac{37}{3} [/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the perpendicular line we must first find the slope of the original line

We must first write the equation in the general form above in order to find the slope

3x + 2y = - 7

2y = - 3x - 7

Divide both sides by 2

y = - 3/2x - 7/2

Comparing with the general equation above

Slope = - 3/2

Since the lines are perpendicular to each other the slope of the perpendicular line is the negative inverse of the original line

Slope of perpendicular line = 2/3

So the equation of the line using point (-8,7) and slope 2/3 is

[tex]y - 7 = \frac{2}{3} (x + 8) \\ y - 7 = \frac{2}{3} x + \frac{16}{3} \\ y = \frac{2}{3} x + \frac{16}{3} + 7[/tex]

We have the final answer as

[tex]y = \frac{2}{3} x + \frac{37}{3} [/tex]

Hope this helps you


Related Questions

Divide rs 21000 between Nisha and Nishan so that Nisha gets double than Nishan

Answers

let the nisha be x and nishan be y

Step-by-step explanation:

ATQ

your statement is x=2y

Why did I get this question wrong?

Answers

Answer:

9.25

Step-by-step explanation:

M₄ means the area using 4 rectangles with heights equal to the function evaluated at the midpoints.

The width of each rectangle is (4−0)/4 = 1.

The area of each rectangle is:

M₁ = (1) (1.12) = 1.12

M₂ = (1) (1.80) = 1.80

M₃ = (1) (2.69) = 2.69

M₄ = (1) (3.64) = 3.64

The total area is therefore:

M = 1.12 + 1.80 + 2.69 + 3.64

M = 9.25

A normal population has the mean of 10 and the variance of 25 . A random sample of size n-28 is selected.
(a) Find the standard deviation of the sample mean. Round your answer to two decimal places (e.g. 98.76)
(b) How large must the sample be if you want to halve the standard deviation of the sample mean?

Answers

Answer:

Step-by-step explanation:

Given that:

population mean = 10

variance [tex]\sigma^2[/tex] = 25  ; [tex]\sigma[/tex] =[tex]\sqrt{ 25}[/tex] = 5

sample size n = 28

The standard deviation of the sample mean:

= [tex]{\dfrac{5}{\sqrt{28}}[/tex]

= 0.95

To halve the standard deviation of the sample mean, the size of how large the sample will be can be computed as follows:

[tex]\dfrac{sd_1}{sd_2} = \dfrac{\dfrac{\sigma}{\sqrt{n}} }{\dfrac{\sigma}{\sqrt{n}} }[/tex]

[tex]\implies \dfrac{\dfrac{5}{\sqrt{28}} }{\dfrac{5}{\sqrt{28}} }[/tex]

[tex]= \dfrac{5}{\sqrt{28}} \times \dfrac{\sqrt{28}}{5}[/tex]

= 2

n = 4 × 28

n = 112

The standard deviation is 0.95 and if the standard deviation is halved then the sample mean is 112.

What is a standard deviation?

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

A normal population has a mean of 10 and a variance of 25.

A random sample of sizes n-28 is selected.

A.  The standard deviation will be

[tex]\sigma = \dfrac{\sqrt{Var(x)}}{n} \\\\\sigma = \dfrac{\sqrt{25}}{\sqrt{28}} \\\\\sigma = 0.95[/tex]

B.  The sample be if you want to halve the standard deviation of the sample mean

[tex]\rm \dfrac{SD_1}{SD_2} = 2 = \dfrac{\sqrt{n}}{\sqrt{28}}\\\\n = 4*28 \\\\n= 112[/tex]

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(30 points) the line contains the point (5,-7) and is parallel to 4x+ 3y =-9 The equation of the line is:

Answers

Answer:

  4x +3y = -1

Step-by-step explanation:

To find the new constant for the equation, use the given x- and y-values:

  4(5) +3(-7) = 20 -21 = -1

The equation of the parallel line in standard form is ...

  4x +3y = -1

Which of the following sets are equal? A = {2, 3, 4} n B = {XER 1 4 x < 5} n C = { ERI 1 < x < 5} n D = {xEZ| 1 < x < 59} n E = {xez | 1 < x < 59} n

Answers

Answer:

Step-by-step explanation:

The question is not too clear. check the attachment for better view of the question.

From the options The set A = {2, 3, 4} will be compared to other options to determine which of the remaining set is equivalent to the set A.

x e R means the values in the set are real numbers and real numbers can either be rational or irrational. R= Hence the real numbers between  1 and 5 are not restricted to only positive integer values but also decimal numbers. and since set A does nit contain ant rational number, hence both set B and C are not equivalent to set A.

Also, set B is not equivalent to set C even though the values in both sets are integers. They are not equal because 1 is included in set B but not in set C.

Set D and E are equivalent because they both contains integers between 1 and 5. Integers are positive whole numbers between 1 and 5 since the both sets doesn't contain any negative value. Hence the set A = set D = set E

Select all that apply which expressions are equivalent to 6X +12
(A) 6(x+12)
(B) x(6+12)
(C) 3(2x+4)
(D) 2(3x+6)
(E) 6(x + 2)

Answers

C,D, and E are the answers.

3(2x+4),  2(3x+6) and 6(x + 2) are the expressions are equivalent to 6X +12

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 6X +12

We have to find the equivalent expressions of 6x+12

Let us take 6 as a common factor we get

6(x+2)

so 6(x+2)  is equivalent expression of 6X +12

Now let us take 3 as common factor

3(2x+4)

so 3(2x+4)  is equivalent expression of 6X +12

Now let us take 2 as common factor

2(3x+6)

so 2(3x+6)  is equivalent expression of 6X +12

Hence,  3(2x+4),  2(3x+6) and 6(x + 2) are the expressions are equivalent to 6X +12

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Simplify 0.5x-2y > 3

Answers

I will assume you want it in the form of y>mx+b

0.5x-2y>3

0.5x-3>2y

0.25x-1.5>y

Answer:

[tex]x>4y+6[/tex]

Step-by-step explanation:

[tex]0.5x-2y>3[/tex]

First, we will have to add 2 to both sides.

[tex]0.5x-2y+2y>3+2y[/tex]

This equals to

[tex]0.5x>2y+3[/tex]

Now, we will make this into a fraction and divide. We will divide by 0.5.

[tex]\frac{0.5x}{0.5} >\frac{2y+3}{0.5}[/tex]

Now that we divided, we got our answer!

[tex]x>4y+6[/tex]

Hope this helps!

I need help with d ASAP plz explain

Answers

Answer:

a. g(0)= 1

b. f(-2)= 0

d. g(x-2)= 5x-9

Step-by-step explanation:

a. g(x)=5x+1  *substitute 0 for x*

g(0)= 5(0)+1

g(0)= 1

b. f(-2)= [tex](-2)^2-4[/tex]   *substitute -2 for x*

f(-2)= 4-4 =0

c. g(x-2)= 5(x-2)+1 *substitute x-2 for x*

 g(x-2)= 5x-10+1    *distributive property*

g(x-2)=5x-9          *simplify*

find the absolute value of -0.909?

Answers

no further can be done to that number

0.909 is the  absolute value of -0.909

What is Number system?

A number system is defined as a system of writing to express numbers.

The given number is a decimal number

-0.909

Minus zero point nine zero nine

We need to find the absolute value of -0.909

Absolute value of a Decimal is its numeric value without its sign

The absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.

0.909 is the  absolute value of -0.909

Hence,  0.909 is the  absolute value of -0.909

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Select all that apply.
Which expressions are equivalent to 6x +18?
6(2+3)
3(2x + 6)
2 (32 +9)
6(x + 18)
3(x+6)

Answers

3(2x+6) , 6(x+18) is the corrects answers!
Hope this helps!

The expression equivalent to 6x + 18 is 3(2x + 6) thus option (B) is correct.

What is an expression?

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that are all constrained and create an equation.

Expression is very useful to determine the end or root value of constraint.

As per the given,

6x + 18

Take 3 as common,

3(2x + 6)

Hence "The expression equivalent to 6x + 18 is 3(2x + 6)".

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c
Which equation could you use to solve for x in the proportion 5
- 2
Vx
4X= 14
4x=45
5x= 13
5x = 36
ANSWER QUICK!!

Answers

Answer:

4x= 14

Step-by-step explanation:

I get paid $40 a month. If i want 5 less each month, how much should i get paid every week?

Answers

Answer:

$5 each week

Step-by-step explanation:

$40 a month

$10 a week

$10-$5 is $5 each week

If you want to be paid $5 less, then every month you will be paid $35

There the amount that you get paid every week will be:

35 ÷ 4 ( 1 month have 4 weeks )

= $8.75

answer reeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

36 and 49

Step-by-step explanation:

6x6 and 7x7

Find the equation of the tangent line to the curve at the given point?
y = x cot(x) at the point with x-coordinate= π/4

Answers

Answer:

The equation of the tangent line

[tex]y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )[/tex]

Step-by-step explanation:

Step(i):-

Given function y = x cot (x) ....(i)

Differentiating equation (i) with respective to 'x' , we get

[tex]\frac{dy}{dx} = x (-Co sec^{2} (x)) +cot(x) (1)[/tex]

Step(ii):-

The slope of the tangent line

[tex]\frac{d y}{d x} = -x Co-sec^{2} (x) +cot x[/tex]

[tex](\frac{d y}{d x} )x_{=\frac{\pi }{4} } = -\frac{\pi }{4} Co-sec^{2} (\frac{\pi }{4} ) +cot \frac{\pi }{4}[/tex]

We will use trigonometry formulas

[tex]Cosec(\frac{\pi }{4} ) = \sqrt{2}[/tex]

[tex]sec(\frac{\pi }{4} ) = \sqrt{2}[/tex]

[tex]Cot(\frac{\pi }{4} ) = 1[/tex]

Now the slope of the tangent

[tex]\frac{dy}{dx} =-\frac{\pi }{4} (\sqrt{2})^{2} )+1[/tex]

[tex]\frac{dy}{dx} =-\frac{\pi }{2} +1[/tex]

Step(iii):-

Given

Substitute [tex]x=\frac{\pi }{4}[/tex] in y = x cot (x)

               [tex]y = \frac{\pi }{4} cot (\frac{\pi }{4} )[/tex]

              [tex]y = \frac{\pi }{4}[/tex]

The point of the tangent line  [tex](x ,y ) = (\frac{\pi }{4} , \frac{\pi }{4} )[/tex]

The equation of the tangent line

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

[tex]y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )[/tex]

Which set of numbers could be the side lengths of a right triangle?
A. 3,4,6
B.4,5,7
C. 5, 12, 13
D. 7. 20, 21
E. 8, 15, 16

Answers

A 3,4,6 Oh my God its so very hard

Name 3 rays in this geometric construction
E
A
D
B
Your answer

Answers

Do you have a picture or anything that you could show us?

4(2x+6)=5(x+5)+2 Infinite solutions Infinite solutions No solution No solution One solution; x=0One solution; x is equal to 0 One solution; x=1

Answers

Answer:

x = 1

Step-by-step explanation:

Solve for x:

4 (2 x + 6) = 5 (x + 5) + 2

Hint: | Distribute 5 over x + 5.

5 (x + 5) = 5 x + 25:

4 (2 x + 6) = 5 x + 25 + 2

Hint: | Group like terms in 5 x + 2 + 25.

Grouping like terms, 5 x + 2 + 25 = 5 x + (25 + 2):

4 (2 x + 6) = 5 x + (25 + 2)

Hint: | Evaluate 25 + 2.

25 + 2 = 27:

4 (2 x + 6) = 5 x + 27

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

8 x + 24 = 5 x + 27

Hint: | Move terms with x to the left hand side.

Subtract 5 x from both sides:

(8 x - 5 x) + 24 = (5 x - 5 x) + 27

Hint: | Combine like terms in 8 x - 5 x.

8 x - 5 x = 3 x:

3 x + 24 = (5 x - 5 x) + 27

Hint: | Look for the difference of two identical terms.

5 x - 5 x = 0:

3 x + 24 = 27

Hint: | Isolate terms with x to the left hand side.

Subtract 24 from both sides:

3 x + (24 - 24) = 27 - 24

Hint: | Look for the difference of two identical terms.

24 - 24 = 0:

3 x = 27 - 24

Hint: | Evaluate 27 - 24.

27 - 24 = 3:

3 x = 3

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 x = 3 by 3:

(3 x)/3 = 3/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

x = 3/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

Answer:  x = 1

What number should be placed in the box to help complete the division calculation?
(Long division setup showing an incomplete calculation). 13 is in the divisor, 4231 is in the dividend, and 3 hundreds and 2 tens is written in the quotient. 3900 is subtracted from 4231 to give 331. An unknown value represented by a box is being subtracted from 331.

Answers

Answer:

299

Step-by-step explanation:

Identify the line(s) of symmetry for kite ABCD.
les )
A)line BD
B)line AC
C)line EF
D)no line of symmetry

Answers

Answer:Line BD

Step-by-step explanation:

The top is shorter than the bottom, so it can't be AC. EF will only have about half of the section covered. BD is symmetrical so it can't be no lines. So it must be BD.

67.9 is ten times as much as what number?
A. 6.79
B. 6,790
C. 607.9
D. 6.7

Answers

Answer:

6.79

Step-by-step explanation:

6.79 x 10 = 67.9

The unknown number z would be 6.79

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have been given that 67.9 is ten times as much as unknown number;

Let the unknown number be z;

Z x 10 = 67.9

Now divide by 10 on both sides, we get;

Z = 67.9/10

Z = 6.79

Therefore,

6.79 x 10 = 67.9

Hence, the unknown number z would be 6.79

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Find the product of -3/5 • -1.5.

Answers

Answer:

0.9

Step-by-step explanation:

I am not sure how to really explain but the 2 negatives equal a positive. So if there is 2 Negatives also know as -     = a positive. And a positive is just the the opposite of a negative

The product of the given fractions is 3/25.

The given fractions are -3/5 and -1/5.

What is the product of fractions?

The product of two fractions can often be expressed by an equivalent fraction where the numerator and denominator have been divided by a common factor. The product of two fractions is the product of the numerators and the product of the denominators.

Now, multiply the given fractions

-3/5 × -1/5

Multiply numerators and write the result in numerator and multiply denominators and write the result in denominator.

That is, -3/5 × -1/5 = 3/25

Therefore, the product of the given fractions is 3/25.

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Lydia owns a food truck that sells tacos and burritos. She only has enough supplies to make 115 tacos or burritos. She sells each taco for $4 and each burrito for $6.75. Lydia must sell at least $680 worth of tacos and burritos each day. If 32 tacos were sold, determine the minimum number of burritos that the Lydia must sell in order to meet the requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer:

Lydia must sell 552 burritos

Step-by-step explanation:

552 burritos . Hope it’s helps ...!!!

Solve for y. 6 x + 2y = z​

Answers

The answer to this question is 7

Answer:

[tex]y = \frac{z}{2} -3x[/tex]

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents & roots

Multiplication

Division

Addition

Subtraction

& is the order of operation.

First, subtract 6x from both sides:

6x (-6x)  + 2y = z (-6x)

2y = z - 6x

Next, divide 2 from both sides:

(2y)/2 = (z - 6x)/2

y = (z - 6x)/2

y = (z/2) - 3x

[tex]y = \frac{z}{2} -3x[/tex]  is your answer.

~

ILL GIVE YOU BRAINLIST !!

Nick's mom gave him $10 allowance. His little sister was given $4 less than Nick. Write an expression for the amount that Nick's little sister was given

Answers

Answer:

Let x be the amount Nick's little sister is given.

x = 10 - 4

Find the slope of the given line, if it is defined. 2x + 1 = 0

Answers

Given :

A line 2x + 1 =0 .

To Find :

The slope of the given line .

Solution :

We know , slope of line is given by the tangent of the angle between the x-axis and the line .

Now, for line 2x + 1 =0 i.e [tex]x=\dfrac{-1}{2}[/tex] .

The line is perpendicular to x-axis and cuts the x-axis at [tex]\dfrac{-1}{2}[/tex] .

Therefore , the angle between the line and x-axis is [tex]90^o[/tex] .

So , slope [tex]m=\tan\ 90^o[/tex] i.e undefined .

Therefore , the slope of given line is not defined .

Hence , this is the required solution .

46 winners divided $33 equally. what decimal is equivalent to the fraction of a dollar that each winner received? round to the nearest hundredths.​

Answers

Answer:

1.39

Step-by-step explanation:

3x+2y=4 solve for y?

Answers

The given equation term of y is, y=(3/2)x-2.

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation in the problem is;

3x+2y=4

To solve the given equation for y first rearrange the equation and put the y variable on the left-hand side as;

2y=3x-4

Divide the whole equation by 2 we get;

y=(3/2)x-2

Hence, the given equation term of y is, y=(3/2)x-2.

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Which of the following would be considered the most conservative alpha level?
a. .01
b. .05
c. .10
d. .15

Answers

Answer:

C.0.1

Step-by-step explanation:

Because this is 10% confidence confirmed

help please



pleaseeee i dont understand


:(

Answers

#1
Irrational numbers are numbers with infinite decimals values that are not repeating (ex. Pi 3.14159265....). Whole numbers don’t have decimal values in the first place, so all whole numbers are therefore rational.

Keep in mind that just because a number has decimal values doesn’t mean it’s irrational (ex. 4.5 is a rational number). It needs to have infinite non-repeating decimal values to be irrational.

sita purchased 100 pencils of rs600. when she sold all the pencils she lost 20%. find the selling price of each pencils.​

Answers

Answer:

rs480

Step-by-step explanation:

100%=r600      100%-20%=80%

80%=x

80 x 600 =48000

[tex]\frac{48000}{100}[/tex]=480

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