What is an equation of the line perpendicular to 5x−4y=10 that passes through the point (−1,−6) ?

Answers

Answer 1

Answer:

y = -4/5x-34/5

Step-by-step explanation:

1. Put into slope-intercept form: 5x-4y = 10 ⇒ 4y = 5x-10 ⇒ y = 5/4x - 5/2

2. A perpendicular slope is the negative reciprocal of the original slope. ⇒ m = -4/5

3. Make a general solution using the new slope: y = -4/5x + b

4. Plug in the point (-1,-6) and solve for b: -6 = -4/5(-1) + b ⇒ -6-(4/5) = b ⇒    

b = -34/5

5. Put b in the general solution to find the particular solution: y = -4/5x-34/5


Related Questions


Lucy is counting by 2s. She starts with the number 2 and stops at the number 50.
Which number would Lucy not count?
A 11
B 22
C 34
D 48

Answers

I think it’s 11 Hope this helps

The number which Lucy did not count is A = 11

What is an 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.

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 data ,

Let the number be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Lucy is counting by 2s, starting with 2, which means that she is counting all even numbers between 2 and 50.

To find the number that Lucy would not count, we need to find the odd number between 2 and 50.

On simplifying the equation , we get

The odd numbers between 2 and 50 are: 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, and 49.

Hence , Lucy would not count the even number that corresponds to the odd number 11

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In a village, 80% of the houses have straw roofs
and 34% of the houses have no electricity. A
quarter of the houses with straw roofs has no
electricity: What percentage of the houses has
nelther straw roofs nor electricity? 5 marks

Answers

Answer:

20%

Step-by-step explanation:

What value of x makes this equation true? -24 = 6 + x

Answers

Answer:

x = -30

Step-by-step explanation:

-24 = 6 + x

we'll subtract 6 to get x alone:

-24 - 6 = x

-30 = x

____________

then to check, we plug it back in

-24 = 6 + (-30)

-24 = -24 true! so -30 is right :)

Answer:

-30

Step-by-step explanation:

You can backtrack to find x:

-24-6=-36

-30+6=-24

I can’t comment on anything on brainly. I think I’ve been banned forever

Answers

Answer:

Thats fun try on this one

Step-by-step explanation:

Brainlyist?

The Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random. Given that the stamp chosen is from the 20th century, what is the probability it is British?​

Answers

The probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.

What is the Venn diagram?

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

We have:

f = 100 stamps in the collection

A = stamps in the 20th century

B = British stamps

We can make a linear equation to solve for x as the total stamps are 100 in the collection.

[tex]\rm x(x-6)+x+2x+32= 100\\\\\rm x^2-6x+x+2x+32 = 100\\\\\rm x^2-3x-68 = 0[/tex]

After solving x = 9.88, or x = -6.88

Probability can't be negative so neglecting the negative ones

x = 9.88

The probability that it is British:

[tex]=\rm \frac{x +2x + 32}{100}[/tex]  

[tex]=\rm \frac{9.88 +2(9.88) + 32}{100}[/tex]

= 61.64/100

= 0.6164

Thus, the probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.

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Write a percent proportion and sa
22 is 44% of what number?

Answers

Multiply 22 by 100 and then divide the total by 44 . When we put that in our calculator , we get 50 so 22 is 44% of 50

5) Paul invests $3,092 in a savings account
with a fixed annual interest rate
compounded 4 times per year.
After 9
years,
the balance reaches $4,835.71.
What is the interest rate of the account?

Answers

Answer:

R = 5% per year

Step-by-step explanation:

Solving for rate r as a decimal

r = n[(A/P)^1/nt - 1]

r = 4 × [(4,835.71/3,092.00)^1/(4)(9) - 1]

r = 0.05

Then convert r to R as a percentage

R = r * 100

R = 0.05 * 100

R = 5%/year

Summary:

The interest rate required to get a total amount of $4,835.71 from compound interest on a principal of $3,092.00 compounded 4 times per year over 9 years is 5% per year.

Leave your answers in surd form. Tables or calculators are not allowed in this exercise. Find the lengths of the sides marked with letters in each of the following diagrams. All dimensions are in cm.

Answers

This is a special triangle.

the two bases are always equal, so a is also 12. To get to the hypotenuse, you must multiply either side by rad2.

a= 12

b= 12rad2

comment if you have any more questions

An ice cream truck was parked near a beach, and some kids ran to it and formed a line. Then, more kids joined the line by filling in each empty space between the kids in the original line. This happened two more times before the ice cream truck driver finally came back from his lunch break, and there were 49 kids in line. How many kids were in the first line?

Answers

Answer:

7

Step-by-step explanation:

So, we know that this process happened 3 times in total. The original amount of kids we can call x, so the next wave filled in the gaps inbetween, so we call that amount x-1, the next wave would be (x+x-1)-1 or 2x-2, and the last would be 4x-4

adding this all up we get 8x-7=49, so 8x = 56 or x = 7

how do I find measure of center on a right skewed distribution?​

Answers

You should try find the median

The subtotal for a TV was $950.00. What does that mean
The cost of the TV after taxes and other fees are added to it.
The cost compared to similar TV’s in different stores.
The total cost for the TV.
The cost of the TV before taxes and other fees are added to it.

Answers

The subtotal for a TV was $950.00. so it is the cost of the TV before taxes and other fees are added to it.

What is subtotal?

Subtotal is defined as the actual cost of any product when there will not be any taxes or charges are levied on the product.

The subtotal for a TV was $950.00. so it is the cost of the TV before taxes and other fees are added to it.

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Circle K has an area of 80 cm^2. Circle M has a radius that is 2 times the radius of Circle K. What is the area of Circle M?

Answers

Answer:

Two shapes are similar when they have the same shape while their sizes may be the same or different

Therefore, two similar shapes are shapes that have a relationship such that the dimensions of one of the shapes can be obtained from the dimensions of the other shape by multiplying by a scale factor

All circles have the same shape and are defined by their center and radius

Given circle with center at 'x' and radius 'r' and circle with center 'y' and radius 's', then there exist a scale factor a = s/r such that we have;

r × a = s

Where a = s/r, we get;

r × s/r = s

We can therefore, obtain a circle with with the same size as the circle with center 'y' and radius 's' by multiplying the radius of the circle with center at 'x' and radius 'r' by a

Therefore the circle with center at 'x' and radius 'r' is similar to the circle with center 'y' and radius 's'Step-by-step explanation:

Here are the heights (in inches) of 8 students in a seminar.
63, 69, 60, 66, 70, 59, 64, 67
What is the percentage of these students who are shorter than 65 inches'

Answers

Answer:

50%

Step-by-step explanation:

there are 8 students and 4 are shorter than 65 inches.

So 4 divided by 8 = 0.5 or 50%

59, 60, 63, 64, 66, 67, 69, 70
These ^ r all below 65
4 numbers are under 65, and four aren’t, therefore there are eight numbers in total
4/8= 1/2= .5 = 50%
50% of these students are under 65 inches

Hope I helped! Please mark brainliest

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

8.9

Step by Step Explanation:

[tex]x =6 \: { \tan} \: 56 \degree \\ \\ \implies \: x = 8.8953658111\\ \\ \implies \: x \approx 8.9[/tex]

Between which 2 numbers on a number line will √20 be found?
A. 2 and 3
B. 3 and 4
C. 4 and 5
D. 5 and 6
E. 6 and 7

Answers

Answer:

C.

Since the square root of 20 is around 4.5, we know that ≈4.5 is almost at the half mark between 4 and 5 on the number line.

A rectangle is 8 meters long and 5 meters wide. The area of the rectangle is square meters. The solution is​

Answers

Answer:

40 square meters

Step-by-step explanation:

Length of rectangle = 8 m

Width of rectangle = 5 m

A(rectangle) = Length * Width

-> A(rectangle) = 8*5

-> A(rectangle) = 40 square meters

would the sequence 5,11,18,26 be arithmetic/ geometric or neither
arithmetic: common difference
geo: common ratio
neither: how if the pattern obtain ?

Answers

Answer:

Neither: The pattern is (1/2)n^2 + 4.5n

Step-by-step explanation:

You can use quadratic regression to figure it out

answer asap and only if yk 100% its correct

Answers

Answer:

6

Step-by-step explanation:

the answer is 6 because to solve for perimeter you just need to add up all the sides. so 2.4+2.1+1.5=6

Write an equation to
match each graph.

Answers

Answer:

I'm sorry but you will have to add a pic

Which computation should be done last 2x9 -3x5+4?

Answers

2 x 9 - 3 x 5 + 4

In math/s we have the rule called BEDMAS
(a.k.a. BODMAS, BIDMAS, PEDMAS, etc)

Brackets
Exponent
Division
Multiplication
Addition
Subtraction

We go from top to bottom of the list of rules for every math equation. There’s just one exception, addition and subtraction are treated equally, and so when we have an equation with just addition and subtraction, we work left to right

2 x 9 - 3 x 5 + 4

We have no brackets and no exponents, and there’s nothing to divide.
So, we do multiplication
18 - 15 + 4

If you remember, addition and subtraction are treated the same. Therefore, we work left to right.
18 - 15 + 4 = 7

You can type your question into goorgle or a calculator, and you’ll get 7!

PLEASE help ………………….

Answers

Answer:

1st Part: Infinitely many solutions

2nd Part: Exactly one solution

3rd Part: No Solutions

Step-by-step explanation:

First Part: 4(x - 1) = 4x - 4

Distribute. 4x - 4 = 4x - 4

Because the equations are the same, any value can be substituted for x and both the equations' values would still be equivalent.

2nd Part:

x + 4 = 4(x + 1)

x + 4 = 4x + 4

Minus 4 both sides

x = 4x

Only 0 can make this equation true, meaning it only has ONE solution.

Third Part:

4x + 1 = 4(x - 1)

Distribute.

4x + 1 = 4x - 1

Subtract 4x both sides

1 = -1

Obviously, 1 and -1 are not equivalent, meaning there are no value that can be substituted for x to make this equation true.

there are two hydrogen atoms and one oxygen atom in a water molecule. complete the table, and graph the ordered pairs on the coordinate graph.

Answers

Answer:

______ allows data to be transmitted by the computer in ahu-man-of riendly from

There are 7 animals in the barn. Some are chickens and some are oxen. There are 20 legs in all. How many of each animal are there? (Please show all work)

Answers

Answer:

4 Chickens, 3 Oxen

Step-by-step explanation:

Given:

7 animals20 legs total

Known:

Chickens have 2 legs Oxens have 4 legs

Solution:

4 Chickens have a total of 8 legs (2 + 2 + 2 + 2)3 Oxen have a total of 12 legs (4 + 4 + 4)There are a total of 20 legs in total between the chickens and oxens.

a compound inequality may have the inequality symbols going in opposite directions
TRUE OR FALSE?

Answers

Answer:

False

Step-by-step explanation:

There's no such thing like that

At a company a copy machine prints 175 pages in 5 minutes if the number of pages printed is proportional to the time in minutes what is the unit rate?

Answers

If the copy machine prints 175 pages in 5 minutes and the number of pages printed is proportional to the time in minutes , the unit rate is 35 pages per minute.

What is division?

Division is the process of determining the quotient of a number. It is the process of grouping a number into equal parts using another number.

What is the unit rate?

The unit rate can be determined by dividing 175 by 5

Unit rate = 175/5 = 35 pages per minute.

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Answer use div it. Is 35

Step-by-step explanation:

What is the cost of six filters if eight filters cost $39.94

Answers

Answer:

29.95

Step-by-step explanation:

You need to divide 39.94 by 8 to find the value of each filter and then multiply the cost of one by 6.

Tina poured 2/3 of the juice from a 2 litter bottle while serving guests at a banquet. How many juice, in liters, is still left in the bottle?​

Answers

1.3333l

hope it helps...!!!

Any polygon can be the base of a prism?
A. True
B. False ​

Answers

Answer:

the answer is true

Step-by-step explanation:

any polygon is based on a prism so the answer will always be true no matter what polygon. pls mark me brainliest i need it. hope this helped.

Which of the following could be the lengths of the sides for a triangle that is
similar to the one shown?
12
16
24
O A. 16, 18, and 48
OB. 12, 24, and 48
OC. 4, 6, and 14
D. 6, 8, and 12

Answers

Answer:

D

Step-by-step explanation:

6x2 is 12

8x2 is 16

12x2 is 24

the scale factor is x2

what is 1/4 + 2/3 with the common denominator of 12

Answers

Answer:

11/12

Step-by-step explanation:

8/12 + 3/12 = 11/12

Answer:

11/12 is the answer

1/4 + 2/3 = 11/12

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