Write an equation of the line that passes through (−3,7) and is perpendicular to the line y=−2x−5.

Answers

Answer 1

Answer:

Step-by-step explanation:

an equation is : Use the point-slope formula.

y - y_1 = m(x - x_1)    ;  m : the slope   when : x_1 = -3   and  y_1  = 7

- 2 ×m = - 1  because this line is perpendicular to the line y= -2x-5 when the slope is  -2

so : m= 1/2

an equation is : y - 7 =(1/2)(x+3)  

Answer 2

Answer:

The desired equation is

y = (1/2)x + 17/2

Step-by-step explanation:

The slope of the perpendicular line is the negative reciprocal of -2:  m = 1/2.

Start with y = mx + b.

Substituting 7 for y, 1/2 for m and -3 for x, we get:

                7 = (1/2)(-3) + b.  Then 7 = -3/2 + b, so that b = 17/2.

The desired equation is

y = (1/2)x + 17/2


Related Questions

Jorge said that 0.029 can be written as 29/100. Is he correct ??

Answers

No 29/100 is 0.29 and 29/1000 is 0.029
Final answer:

Jorge's statement is partially correct. 0.029 can be written as a fraction but it is 29/1000, not 29/100 since it has three decimal places.

Explanation:

Jorge's statement that 0.029 can be written as 29/1000 is indeed correct. When you convert a decimal to a fraction, we count the number of decimal places, which determines the denominator of the fraction. In the case of 0.029, it has three decimal places, therefore, the denominator would be 1000 (the first place represents tenths, the second represents hundredths and third represents thousandths). Hence 0.029 as a fraction is written as 29/1000, not 29/100.

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A recipe calls for 1/2 cup sugar, 2/3 cup flour, and 2 1/4 cups of oatmeal. What is the combined measurement of these ingredients?

Answers

Answer:3 5/12

Step-by-step explanation:

So we have here 1/2, 2/3 and 2 1/4. So let's ignore the 2 from 2 1/4. so we add them all up (1/2 + 2/3 + 1/4) but before we add them up we have to find the common denominator. So the common denominator for 2, 3 and 4 is 12. so the question will be 6/12 + 8/12 + 3/12. Add this up and it will be 17/12 = 1 5/12. Now let's get that 2 back here and add 2 to 1 5/12 (2 + 1 5/12) = 3 5/12

Find the length of the missing side of the triangle below.

Answers

The answer would be 65.7!

Bill has 5 apples and 5 bananas. He can only put 5 pieces of fruit in a bowl. How can Bill make a table to show the different ways he can put fruit in the bowl?

What will be the same in each row of the table?

Answers

Answer:

Step-by-step explanation:

5 apples

5 bananas

2 bananas , 3 apples

2 apples and ,3 bananas  

4 bananas and 1 apple

4 apples and 1 bananas  

the sum of the  amount of fruit in the bowl will remain constant

Number of Apple Bill has =5 apple

Number of Banana Bill has =5 Banana

Number of fruits that , Bill can keep in his bowl =5 Pieces of fruit , which will be combination of both Apple and Banana or either 5 Banana or 5 Apple.

Different ways by which the two different type of fruit that bill can put in the bowl, if maximum number of fruit in the bowl =5

Banana                       Apple                           Total

    1                                   4                                    5

    2                                   3                                   5

    3                                   2                                    5

   4                                     1                                    5

  5                                      0                                    5

  4                                       1                                    5

  3                                       2                                    5

  2                                       3                                    5

  1                                       4                                     5

  0                                       5                                     5

In the table , there will be , (total number of fruits=5), which will be same in each row.

Ratios- 5 calculators cost $120.00 how much for one calculator

Answers

Answer:$24 each

Step-by-step explanation:

Answer:

Cost of one calculator = $24

Step-by-step explanation:

Cost of 5 calculator = $120

Cost of one calculator = 120 /5 = $ 24

Help me please I will give poits if help

Answers

Answer:

Step-by-step explanation:

y= -5(10) + 30

y = -50 + 30

y = -20

x= 10

(10,-20)

this is the solution

Hey!

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

Answer:

(10, -20)

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

Solution:

y = -5x + 30

(-20) = -5x(10) + 30

-20 = -50 + 30

-20 = -20

The equation is true.

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

Hope This Helped! Good Luck!

54 divided by 7 simplified​

Answers

Answer:

7.7142

Step-by-step explanation:

The solution to the number division 54 divided by 7 is: 7⁵/₇

How to carry out number division?

Division is defined as a mathematical operation, that is written using the symbol ÷ , and the it can  be thought of in two ways: x÷y is the size of each group when x objects are divided into y groups of equal size, OR x÷y is the number of groups when a objects are divided into groups of b objects each.

We are given the expression 54 divided by 7

Thus, the number of times 54 can divide 9 in whole numbers in 7 times with a remainder of 5. Thus:

Solution = 7⁵/₇

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Line 1 : y = 2/3x +3
Line 2 : y = 2/3x - 8

Answers

I would guess that your question is to find the lines of intersection.
Before you look at the image. You have to realize what our equation is telling us.

The equation for lines is y=mx+b
M is slope
B is y intercept.

For line 1. We can tell that our slope is 2/3 and that our y intercept is 3. For line 2, we can identify our slope and 2/3 and our y-intercept as -8.

In the image below, we can see that our lines never intersect, therefore, there is no solution to these lines

solve for (-4+6i)-3-(2i)

Answers

(-4+6i )- 3-(2i)

-4 - 3 + 6i - 2i

-7 + 4i

Done.

Please answer number 2, I will mark brainliest!!

Answers

Answer:

Theres not enouh information to come to a conclusion

Step-by-step explanation:

Answer:

It's a rhombus (I think)

Step-by-step explanation:

It tells you "If a parallelogram has 4 congruent sides, then it is a rhombus."

It's also telling you that "the parallelogram has 4 congruents sides."

That's telling me it is a rhombus.

(I have absolutely no idea what the Law of Detatchment is, but it looks like this is the answer to me.)

Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home. How many hours has Carlos practiced piano? How much longer does he need to practice before going to bed in order to meet his goal?

Answers

Answer:

Carlos has practiced piano for [tex]\frac{29}{20}=1\frac{9}{20}[/tex] hours.

Carlos needs to practice [tex]\frac{11}{20}[/tex] hours.

Step-by-step explanation:

We have been given that Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.

First of all, we will find piano practiced before school and after school by adding both amounts as:

[tex]\frac{3}{4}+\frac{7}{10}[/tex]

Make a common denominator:

[tex]\frac{3*5}{4*5}+\frac{7*2}{10*2}[/tex]

[tex]\frac{15}{20}+\frac{14}{20}[/tex]

Add numerators:

[tex]\frac{15+14}{20}[/tex]

[tex]\frac{29}{20}[/tex]  

Therefore, Carlos has practiced piano for [tex]\frac{29}{20}[/tex] hours.

Now, we will subtract [tex]\frac{29}{20}[/tex] from 2 find number of hours Carlos needs to practice to reach his goal.

[tex]2-\frac{29}{20}[/tex]

[tex]\frac{2*20}{20}-\frac{29}{20}[/tex]

[tex]\frac{40}{20}-\frac{29}{20}[/tex]

[tex]\frac{40-29}{20}[/tex]

[tex]\frac{11}{20}[/tex]

Therefore, Carlos needs to practice [tex]\frac{11}{20}[/tex] hours before going to bed in order to meet his goal.

5/6 x= 15 solve for x

Answers

Answer:

X=18

Step-by-step explanation:

Multiply the 6 and the 15= 90

Then left with 5x so then divide 90 and 5= 18

Left with X= 18

The value of x in the given equation is x = 18.

Given is an equation 5x/6 = 15, we need to find the value of x,

To solve for x, you need to isolate x on one side of the equation.

Here's how you can do it step by step:

Start with the equation: 5/6 x = 15

To isolate x, you need to get rid of the fraction on the left side. Since the fraction has a denominator of 6, you can multiply both sides of the equation by 6 to eliminate it:

(6) × (5/6 x) = (6) × 15

The 6 on the left side cancels out the denominator 6, leaving:

5x = 90

Now, to find the value of x, you need to get x by itself on one side. Since 5x means 5 times x, you can undo this by dividing both sides by 5:

5x / 5 = 90 / 5

This simplifies to:

x = 18

So, the value of x is 18.

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Agnes wants to buy a gallon of iced tea. If a 1-gallon jug costs $3.05 and a
pint costs $0.45, how much money would Agnes save by buying the 1-gallon
jug instead of multiple pints?
O A. $2.60
O B. $1.25
O c. $0.55
O D. $0.35
o o

Answers

Answer:

c

Step-by-step explanation:

8 pints in a gal

.45 x 8 = 3.60

3.60 - 3.05 = . 55

Answer:

C.$0.55

Step-by-step explanation:

Convert 100 meters to centimeters

Answers

Answer:

10000 centimeters

Step-by-step explanation:

we know,

1 meter = 100 centimeters

∴ 100 meters = (100 x 100) centimeters

                      =10000 centimeters

in welcome to rise of the knights in which of these words from paragraph 3 has a neutral connotation

a. elaborate
b. engaging
c.multilevel
d.suspenseful

Answers

Answer: multilevel.          

Multilevel has a neutral meaning in Welcome to Rise of the Knights.

A multilevel building is defined as one that has upwards of one level, such as various diagonal lines or surfaces at varying heights. Del Grosso lectured in what looked to be a traditional lecture hall, complete with long curving multileveled rows of permanent seats.Learn more:

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Micheal cycles a distance of 12 5/6 miles in 2/3 hours. what is his cycling unit rate in miles per hour ?

Answers

19 and 3/10 miles per hour
19 and 3/10 miles per hour.

Keisha swims 18 ft from one side of her circular pool to the other, swimming straight through the center. She then swims one time around the entire edge of her swimming pool.

Enter your answers in the boxes.

How many feet did she swim in terms of π ?
ft

How many feet did she swim using 3.14 for π ? Round your final answer to the nearest tenth.
ft

Answers

Answer:

324pie +18ft

1,035.36ft

Answer: 74.5 ft

Step-by-step explanation:

A poll reported that 66% of adults were satisfied with the job the major airlines were doing. Suppose 20 adults are selected at random and the number who are satisfied is recorded.

The probability that exactly 12 are satisfied with the airlines is

Answers

Final answer:

The problem involves calculating a binomial probability for 12 out of 20 adults being satisfied with airlines, given a satisfaction rate of 66%. This uses the formula for Binomial Probability: P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k)).

Explanation:

The question involves using Binomial Probability in statistics. Here, the experiment is repeated 20 times (20 adults are selected), each trial is independent (one adult's answer doesn't affect another's), there are two possible outcomes (satisfied or unsatisfied), and the probability of success (being satisfied) is constant (66%).

To calculate the probability of exactly 12 adults being satisfied, we use the formula for Binomial Probability:

P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k))

Where:

C(n, k) is the number of combinations of n items taken k at a time.p is the probability of success (66% or 0.66 in this case).n is the number of trials (20 adults).k is the number of successes we're interested in (12 adults being satisfied).

By subbing in these values, we can calculate the desired outcome.

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What was the biggest decrease in time from the 1st leg to the 2nd leg??

Answers

Answer:

The first one. 55.3 and 40. 38

Step-by-step explanation:

Subtract all of the second legs from the first legs that they go with and find the biggest number. When this is done, the first one has the biggest number.

Answer:

The biggest decrease in time is 14.92 seconds.

Step-by-step explanation:

Consider the provided table.

Consider the row 1.

The biggest decrease in time from the 1st leg to the 2nd leg is:

55.3 seconds - 40.38 seconds = 14.92 seconds

Hence, the decrease in time is 14.92 seconds

Consider the row 2.

The biggest decrease in time from the 1st leg to the 2nd leg is:

55.29 seconds - 40.402 seconds = 14.888 seconds

Hence, the decrease in time is 14.888 seconds

Consider the row 3.

The biggest decrease in time from the 1st leg to the 2nd leg is:

55.295 seconds - 40.4 seconds = 14.895 seconds

Hence, the decrease in time is 14.895 seconds

Consider the row 4.

The biggest decrease in time from the 1st leg to the 2nd leg is:

55.037 seconds - 41.2 seconds = 13.837 seconds

Hence, the decrease in time is 13.837 seconds

From the above calculation it is clear that the biggest decrease in time is 14.92 seconds.

Find the product: 8(− 2 7 )(− 1 2 )

A) − 4 7

B) 4 17

C) 7 4

D) 8 7

Answers

Answer:2592

Step-by-step explanation:

Answer:

D) 8/7

Step-by-step explanation

caroline is making some table decorations.
each decoration is made from a candle and a holder.
caroline buys some candles and some holders each in packs.
There are 30 candles in a pack of candles.
There are 18 holders in a pack of holders.
How many packs of candles and how many packs of holders does caroline buy?

Answers

Answer:

there are 8 candles

Step-by-step explanation:

(i) In order to obtain an equal amount of candle to candle holders Caroline has to buy enough packs to obtain a 1:1 ratio.  

Therefore to obtain a 1:1 ratio:

=30 candles/18 candle holders * (18/30)

Therefore she needs to buy 18 packs of candles and 30 packs of candle holders to have exactly the same number of candles and holders

(ii) Caroline can make = 30*18 = 540 table decorations  

Click to let others know, how helpful is it

Alaina colors 20% of the total shapes on her paper. She colors 10 shapes. Enter the number of shapes on Alaina's paper.

Answers

Answer:

50

Step-by-step explan

20% = 10

100% = 10 : 20 * 100

100% = 50

Joy is thinking of a number. She says, "My number is 74 more than 2 thousands, 6 hundreds, 8 tens, and 4 ones." What is Joy's number?​

Answers

Answer:

2,785

Step-by-step explanation:

You need to add 2,684+74 and will equal 2,785... Yor welcome

The required number of the joy is 2758.

Given that,
Joy is thinking of a number.
She says, "My number is 74 more than 2 thousand, 6 hundred, 8 tens, and 4 ones."

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the number be x,
The number is 74 more than 2 thousand, 6 hundred, 8 tens, and 4 ones
x = 74 + 2684
x = 2758

Thus, the required number of joy is 2758.

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Identify the multiplication property used in the equation 7x2=2x7

Answers

The associative property
Final answer:

The multiplication property used in the equation 7x2=2x7 is the Commutative Property of Multiplication, stating that the order of numbers doesn't affect the product.

Explanation:

The multiplication property used in the equation 7x2=2x7 is known as the Commutative Property of Multiplication. This property states that the order in which you multiply numbers does not change the product. For example, in your equation 7x2=2x7, the position of the numbers 7 and 2 have been switched, but the product remains the same (14).

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the lowest temperature ever recorder on the moon was about -170 C. the lowest temperature ever recorded in antartica was -89 c.find the difference in these temperatures

Answers

Answer:

81 c

Step-by-step explanation:

-170 - (-89)= 81

both of the negatives cancel out eachother and make it a positive

I need help 5(3x-2)>3(4x-1)

Answers

Answer:

x > 7/3

Step-by-step explanation:

5(3x - 2) > 3(4x - 1)

First, use the distributive property on both sides.

15x - 10 > 12x - 3

Subtract 12x from both sides.

15x - 12x - 10 > 12x - 12x - 3

3x - 10 > -3

Add 10 to both sides.

3x - 10 + 10 > - 3 + 10

3x > 7

Divide both sides by 3.

3x/3 > 7/3

x > 7/3

What is the equation o
f a line with a slope of –2 that passes through the point (6, 8)?

Answers

Answer:

y - 8 = -2(x - 6)

y - 8 = -2x + 12

y = -2x + 20

Convert 5.764764764... to a rational expression in the form of a over b where b ≠ 0.

Answers

Answer:

[tex]\large\boxed{5.764764764...=\dfrac{5,759}{999}}[/tex]

Step-by-step explanation:

[tex]\text{Let}\\\\x=5.764764764...\qquad\text{multiply both sides by 1,000}\\\\1,000x=5,764.764764764...\qquad\text{make the difference}\ 1,000x-x:\\\\1,000x-x=5,764.764764764...-5.764764764...\qquad\text{cancel}\ (\overline{764})\\\\999x=5,759\qquad\text{divide both sides by 999}\\\\x=\dfrac{5,759}{999}[/tex]

Use mental math to determine whether each number is
divisible by 1, 2, 3, 5, 9, or 10.
9. 126
10. 257
11. 430
12. 535
13. 745
14. 896
15. 729
16. 945
17. 4,580
18. 6,331
19. 7,952
20. 8,000
21. 19,450
22. 21,789
23. 43,785
24. 28,751

Answers

Step-by-step explanation:

you can divide every number by 1

if a number is even you can always divide it by 2

if the number ends in an odd number that isn't 5, you will most likely be able to divide it by 1, 3, or 9

if a number can be divided by 3, it can most likely be divisible by 6 if its an even number

if it ends in 5, you will be able to divide it by 5

if the number is over 10 and ends in a 0 it will be divisible by 10 and/or 5

I hope this helps

-5+(5+3) in comuntative property

Answers

Answer:

3+(5+-5)

Step-by-step explanation:

in the communtive property you simply just move the numbers, in associative you move the parenthesis, and in distributive you break up the numbers

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