Find an equation of a line that is parallel to y = 5x - 21 and passes through the point (3, 7)

Answers

Answer 1

Answer:

y=5x-8 is the parallel line that passes through the point (3,7)

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula y-y₁=m(x-x₁) to find the parallel line to y=5x-21, which if done correctly you should end up with y=5x-8

hope this helps!


Related Questions

Help please I need this done

Answers

Step-by-step explanation:

the answer is in the above image

Answer:

61°

Step-by-step explanation:

(x+18)°=(4x-15)°alternate angles, because BC is parallel to AD

x°+18°=4x°-15°

18°+15°=4x°-x°

33°=3x°

33°/3°=3x°/3°

11=x

angle ABD

90°-(x+18)°. the sides of a rectangle meet at 90°

90°-(11+18)°

90°-(29)°

90°-29°

61°

24 shared between 6 students equals how many each

Answers

Answer:

4

Step-by-step explanation:

24/6=4

On a math exam, Joel had a score of 90, which was exactly 2 standard deviations above the mean. The standard deviation for the test is 3.

Answers

Answer:

84

Step-by-step explanation:

Score = 90

Standard deviation = 3

Score = mean + 2(standard deviation)

90 = mean + 2(3)

90 = mean + 6

Mean = 90 - 6

Mean = 84

Mrs .Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each ,how many bottles can she buy?

Answers

Step-by-step explanation:

hear is your answer with calculation

Which of the values is the best estimate of the correlation coefficient for the line of best fit shown in the scatter plot?
0.9

0.4

-0.4

0.9

Answers

The second one is right.

The correlation coefficient that would best describe the line of best fit shown in the scatter plot is 0.9 which is a weak positive correlation.

What is correlation?

The statistical concept of correlation describes how closely two variables move in tandem with one another.

We can see that Slope is not near to horizontal, thus Correlation Coefficient will be greater than 0.5

Since the value of X axis is get increased, then the value of Y axis is also increasing.

According to the graph is scattered in such a way that, if we draw a line from the centre, we can observe that as 'x' increases 'y' also increases, then the relation is positive correlation.

Therefore, the given scatter plot shows positive weak correlation with value 0.9 .

To know more about statistics, here

brainly.com/question/23724696

#SPJ2

Solve the following question. *

Answers

Answer:

The mean of x and y is equal to t.

Step-by-step explanation:

Given that,

The mean of t and t+2 is x.

The mean of t and t-2 is y.

i.e.

[tex]x=\dfrac{t+t+2}{2}\\\\x=(t+1)[/tex]

and

[tex]y=\dfrac{t+t-2}{2}\\\\x=(t-1)[/tex]

The mean of x and y is :

[tex]M=\dfrac{x+y}{2}\\\\M=\dfrac{(t+1)+(t-1)}{2}\\\\M=\dfrac{2t}{2}\\\\M=t[/tex]

Hence, the mean of x and y is equal to t.

Find the equation of a line perpendicular to 2x-y+6=0 through the point (0, -2)

Answers

Step-by-step explanation:

Let's first rearrange so it's easier to look at: y = 2x +6

To find the perpendicular slope you need to find the negative reciprocal of m so flip and change the sign:

m= -1/2

Next plug in the point (0, -2) into the point-slope equation of a line:

[tex]y2 - y1 = \frac{ - 1}{2} (x2 - x1) \\ [/tex]

y-(-2) = -1/2 (x-0)

y + 2 = -1/2x

y = -1/2x - 2

Therefore the equation is y = -1/2x - 2

A trapezoid has 39.2 yards base and 10.8 yards base, as well as 38.5 yards height. What is the area?

Answers

Answer:

962.5 yd²

Step-by-step explanation:

The formula for a trapezoid is:

(a + b) ÷ 2 x h

Where a & b are the two side lengths and h is height.

Use the formula with the given measurements:

(39.2 + 10.8) ÷ 2 x 38.5 = 962.5

Area is measured in square yards, in this case.

FINAL ANSWER:

The area of the trapezoid is 962.5 yd²

Hope this helps!

-SpaceMarsh

A student runs 100 meters in 11 seconds. What is the speed of the student?

speed = distance over time ; 1 mile = 1609 meters

Answers

Answer:

9.09 meters per second

Step-by-step explanation:

100 divided by 11= 9.09 meters per second.

Use the geometric mean (altitude) theorem. What is the value of m? 4 2 StartRoot 7 EndRoot 4 StartRoot 10 EndRoot 160

Answers

Answer:

Option C: 4√10

Step-by-step explanation:

From the geometric mean theorem, when we have this type of rectangle with a height of say "x" and left and right distances to this height as "a" and "b" respectively, then the theorem says that;

x/a = b/x

Applying it to this question;

Altitude is "m"

Left side measurement is 8

Right side measurement is 20

Thus;

m/8 = 20/m

Cross multiply to get;

m² = 160

m = √160

m = √(16 × 10)

m = 4√10

Answer:

C

Step-by-step explanation:

C

Hannah has a part-time job making holiday wreaths. This week, she made x medium wreaths, twice as many large wreaths as medium wreaths, and 12 as many small wreaths as medium wreaths. In terms of x, how many wreaths did Hannah make this week?

Answers

Answer:

Total number of wreaths = 3.5 wreaths

Step-by-step explanation:

Given:

Number of medium wreaths = x

Number of larger wreaths = 2[Number of medium wreaths]

Number of small wreaths = [1/2][Number of medium wreaths]

Find:

Total number of wreaths

Computation:

Total number of wreaths = Number of medium wreaths + Number of large wreaths + Number of small wreaths

Total number of wreaths = Number of medium wreaths + 2[Number of medium wreaths] + [1/2][Number of medium wreaths]

Total number of wreaths = x + 2x + 0.5x

Total number of wreaths = 3.5 wreaths

In a bag there are blue sweets and red sweets. The ratio of blue sweets to red sweets is 5:3 What fraction of the sweets are blue?

Answers

Answer:

5/8

Step-by-step explanation:

SUM OF RATIOS = 5 + 3 = 8

fraction of blue sweet = blue sweet ratio / sum of ratios = 5/8

please help with this. it’s for my final grade

Answers

the answer is -1. hope this helps :)

Please help!! ASAP

find the volume of the cone. round to the nearest tenth

7in
4in
[ ? ]in3

Answers

Answer:

The answer is 117.3 [tex]in^{3}[/tex].

Step-by-step explanation:

To solve for the volume of the cone, use the cone volume formula, which is   V = [tex]\frac{1}{3} \pi r^{2} h[/tex].

Next, plug in the information given from the problem, and the formula will look like V = [tex]\frac{1}{3} (\pi) (4 in^{2}) (7 in)[/tex].

Then, solve the equation, and the answer will be 117.3 [tex]in^{3}[/tex].

Can anyone help me out?

Answers

Answer:

55° because 2and 6 are corresponding angles (they are equal)

6 and 8 are vertically opposite angles (they are equal)

Step-by-step explanation:

hope this is helpful

Solve for x in the equation

Answers

Answer:

x = -1 ± √17

Step-by-step explanation:

x² + 2x + 1 = 17

Subtract 1 form both sides

x² + 2x = 16

complete the square using half the x coefficent, 1) as the complete the square term

(x + 1)² = 16 + 1²

(x + 1)² = 17

Take the square root of both sides

x + 1 = ±√17

Subtract 1 from bot sides

x = -1 ± √17

Answer:

correct one is second option

Step-by-step explanation:

do by applying quadratic formula

plz answer my question:-

if U= {0,1,2,3,4..................20}, A= {1,3,5,7,9,11,13,15,17,19} B= {0,2,4,6,8,10,12,14,16,18} then prove that A-B = A∩B ​

Answers

Answer:

Step-by-step explanation:

A = {1, 3 , 5 , 7, 9 , 11 , 13 , 15 , 17 , 19}

B= { 0, 2 , 4 , 6 , 8 , 10, 12, 14, 16, 18 }

A - B means everything in A and not in B

A - B = { 1, 3 , 5 , 7 , 9 , 11 , 13, 15, 17 , 19 }

A ∩ B means elements common in A and B

A ∩ B = ∅

A - B ≠ A ∩ B


I will give BRAINLIEST to the correct answer
Find the measure of angle 3

Answers

Answer:

2X+100 =8X+208

8X-2X=100-208

6X=-108

X=-18

8X+208=(8×-18)+208

=-144+208

=64

ANGLE 3=180-64

=116

Answer: The measurement of angle #3 on the photo you provided it would be a 300 Degree angle if that is what you're asking

Step-by-step explanation: If you're asking what measure of an angle #3 is the correct measurement is 300 Degrees

Please help I am confused. (30 points)

Module 2: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.



Question: Triangle ABC: A(0, -1), B(0, 3) C(-3, 3) is transformed to triangle A'B'C': A'(5,0) B'(2,4) C'(5,4). Is this transformation a rigid motion? Explain how you know whether it is a rigid motion or not.

Answers

E)6,2 is la reposta espero te sirva Friends

Step-by-step explanation:

tanks por los points

All i need is the answer and any other information, i will rate give thanks, and maybe a brainliest. Help quickly!!!

Answers

Answer:

4 and 3/4

Step-by-step explanation:

Multiplying 3/4 times 5 days will give you 3.75 hours (or 3 and 3/4ths)

1/2 times 2 days will give you one hour

adding these together will give you 4.75 or 4 and 3/4ths

Answer:

C

Step-by-step explanation:

3/4 * 5 + 1/2 * 2 = 15/4 + 1 = (15+4)/4 = 19/4 = 4.75 = 4 3/4

The basketball team did not record how many baskets each player made during the last game. Zulie remembers that she made three
times as many baskets as Aileen. Melody knows that she made four more baskets than Aileen. Zoe thinks that she made 3 fewer baskets than Aileen.
Abigail is sure that she made the same number of baskets as Zoe. Altogether the five players made 82 baskets. How many baskets did each player
make?

Answers

Answer:

There is a mistake in the question. x results in a decimal answer, which is not possible for number of hoops.

Step-by-step explanation:

Aileen: x

Zulie: 3x

Melody: 4 + x

Zoe: x - 3

Abigail: x - 3

82 = (x) + (3x) + (4+x) + (x-3) + (x-3)

Combine Like Terms

x + 3x + x + x + x = 7x

4 - 3 - 3 = -2

7x - 2 = 82

7x = 80

x results in a decimal answer, which is not possible for number of hoops.

A rectangle has an area of 117 cm^2 and width of 9 cm. Find its lenght​

Answers

Answer:

13cm

Step-by-step explanation:

if the area is 117 then to find out the missing length, you divide 117 by 9 which gets you 13.

to check its correct, 13 x 9 = 117cm^2

can someone help me here​

Answers

Answer:

1.

Step-by-step explanation:

1. sin 241 = sin(61 + π) = -sin61 = -t^(1/2)

2. sin^2 + cos^2 =1, cos 61= (1-t)^(1/2)

3. [2sin^2 (x)sin(x) +2cos^2 (x)sin(x)]/2cos(x) = 2sin(x) / 2cos(x) = tan(x)

4. tan (x), x do not equal to (π/2 +or- kπ)

x do not equal to 90,270。

please help asap. 0 0 0 0 0

Answers

Answer:

smaller x =5

largee x =13

vertex of the parabola = (-7,-4)

Drag the tiles to the correct boxes to complete the pair.

Match the pairs of values of f(x) and g(x) with the corresponding values of h(x) if h(x)= f(x)/g(x).

f(x) = x2 - 9, and g(x) = x - 3

f(x) = x2 - 4x + 3, and g(x)= x - 3

f(x) = x2 + 4x - 5, and g(x) = x - 1

f(x) = x2 - 16, and g(x) = x - 4

1.h(x) = x + 5—>
2.h(x) = x + 3—>
3.h(x) = x+4—>
4.h(x) = x-1—>

Answers

Answer:

1. h(x) = x + 5—> f(x) = x² + 4x - 5, and g(x) = x - 1

2. h(x) = x + 3 —> f(x) = x² - 9, and g(x) = x - 3

3. h(x) = x + 4—> f(x) = x² - 16, and g(x) = x - 4

4.h(x) = x - 1—> f(x) = x² - 4x + 3, and g(x)= x - 3

Step-by-step explanation:

A) f(x) = x² - 9, and g(x) = x - 3

We are told that; h(x) = f(x)/g(x)

f(x) = x² - 9 can be factorized to;

f(x) = (x + 3)(x - 3)

Thus; h(x) = (x + 3)(x - 3)/(x - 3)

(x - 3) will cancel out to give;

h(x) = x + 3

B) f(x) = x² - 4x + 3, and g(x)= x - 3

x² - 4x + 3 can be factorized as;

(x - 1)(x - 3)

Thus; f(x) = (x - 1)(x - 3)

h(x) = (x - 1)(x - 3)/(x - 3)

h(x) = x - 1

C) f(x) = x² + 4x - 5, and g(x) = x - 1

x² + 4x - 5 can be factorized as;

(x - 1)(x + 5)

Thus; f(x) = (x - 1)(x + 5)

h(x) = (x - 1)(x + 5)/(x - 1)

h(x) = x + 5

D) f(x) = x² - 16, and g(x) = x - 4

x² - 16 can be expressed as;

(x + 4)(x - 4)

Thus; f(x) = (x + 4)(x - 4)

h(x) = (x + 4)(x - 4)/(x - 4)

h(x) = x + 4

Simplify the expression ( a^3/2)^3

Answers

Answer:

(a^9/8)

Step-by-step explanation:

(a/b)^n = (a^n/b^n)

What is the y-intercept for y = 5x^2 + 2x -2?

Answers

Answer: (0, -2) or -2

Step-by-step explanation:

Sub in 0 for x since at the y intercept x is 0

[tex]y=5(0)^2+2(0)-2\\y=5(0)+0-2\\y=0+0-2\\y=-2[/tex]

Which of the following has the largest y-intercept?

Answers

Answer:

I would say 2 because if you go by absolute value it is the largest.

Unit 1 Review
tatus
view
A total of 937 people attended the play.
Admission was $2.00 for adults and $0.75
for students. The total ticket sales
amounted to $1,109. How many students
and adults attended the school play?
First complete the equations below, where A
stands for Adults and S stands for Students.

Answers

Answer:

403

Step-by-step explanation:

divide 2.75 and 1,1109 and you will get your answer

4. Is y = 6 a linear equation? Explain.

Answers

No bc I think it’s supposed to have 2 variables

Step-by-step explanation:

yea!!!!

The equation y = x is linear and m = 1 and b = 0. The equation y = 6 is linear with m = 0 and b = 6 (it is graphically represented by a horizontal line).

Other Questions
the kidnapper may have stolen a uniform and _ a police officer for the function x^2+8x+7evaluate f(4) help with question please Answer the questions please and no links Exercise 1 Underline each pronoun. In the blank, write int. if the pronoun is interrogative, rel.if it is relative, dem. if it is demonstrative, and ind. if it is indefinite.int.Who can answer this question?1. What is the longest river in the United States?2. The Missouri, which flows 2,540 miles, is the longest river.3. In fact, the Missouri is one of the longest rivers in the world.4. How many of the world's rivers are longer than the Missouri? How much energy is released when 2.25kg of water cools from 99.5C to 4.2C? 1000g=1kg; 1000J=1kJ; specific heat of water 4.184J/gC. q=mcT (please help) What are the coordinates of the point on the directed line segment from (-10, -5) to (5, 1) that partitions into ratio of 1 to 2? Read the selection from the section "Molecules In Motion." The molecules in the hot soup are traveling faster overall than they did before the soup was heated. Conversely, the molecules in an ice cube are moving more slowly. Why did the author use the word "conversely"? Question 5 of 10If you find an unfamiliar word in a scholarly dictionary, where would you lookfirst to find its definition?A. Technical dictionaryB. Standard dictionaryC. GlossaryD. IndexSHIRAT (4x^2+3x 5)+(x^2 7x+10) Write a claim that responds to the question: Why can transferring energy into or out of a substance change molecules' freedom of movement? Be sure to include the words kinetic energy, temperature, and speed in your response. What is the solution set for the quadratic inequality x2 5 0? Which term describe the resting phase of the cell cycle? A proper balance of oxygen and carbon dioxide must be maintained in the human body to survive. Which of the following body systems is responsible for taking in and releasing these gases to ensure homeostasis? On May 11, 2012, your calendar year firm pays $6,000 for a used computer server, its only asset purchase for the year, and estimates that the server will have a salvage value of $500. If no Section 179 deduction is taken, what is your firms maximum 2012 deduction for depreciation? Que diferecias se observan en las distintas banderas ? Gracias I need to know the answer this is confusing in the The Once and Future Merlin Which organizational type dominates the passage?a. comparison/contrastb. spatialc. order of importanced. chronological Amy admits having physically done the crime she is accused of, but her lawyer claims she is not actually responsible for it. Which of the following would not be a possible defense for her?a. Insanityb. Strict liabilityc. Duressd. Reduced capacity why is water so important for the ecosystem