Can someone please help me with #14 and #15?

14.Given y=2(x - 10)+3, write an equation in point slope and slope intercept form that is:

a) Parallel and goes through (-4,1).

b) Perpendicular and goes through (-4,1).


15.Given 5x+2y=7

a.Find an equation parallel to the equation and through (0,10).


b.Find an equation perpendicular to the equation and through (0,10).

This picture is an example of what the answers should look like.​

Can Someone Please Help Me With #14 And #15?14.Given Y=2(x - 10)+3, Write An Equation In Point Slope

Answers

Answer 1

Problem 14, Part (a)

The given equation y = 2(x-10)+3 has a slope of m = 2. Anything parallel to this will also have the same slope, but a different y intercept.

Let's find the point slope form of the parallel line through (-4,1)

[tex]y-y_1 = m(x - x_1)\\\\y-1 = 2(x - (-4))\\\\y-1 = 2(x + 4)\\\\[/tex]

The point slope form is:  y-1 = 2(x+4)

Now solve for y to get the slope intercept form.

[tex]y-1 = 2(x + 4)\\\\y = 2(x + 4)+1\\\\y = 2x + 8+1\\\\y = 2x + 9\\\\[/tex]

The slope intercept form is:  y = 2x+9

============================================================

Problem 14, Part (b)

The original slope is m = 2. Apply the negative reciprocal to go from 2/1 to -1/2. The perpendicular slope is -1/2.

Using the same point (-4,1), we find that the point slope form is...

[tex]y-y_1 = m(x - x_1)\\\\y-1 = -\frac{1}{2}(x - (-4))\\\\y-1 = -\frac{1}{2}(x+4)\\\\[/tex]

The point slope form is:  y-1 = (-1/2)*(x+4)

Now solve for y

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

The slope intercept form is:  y = (-1/2)x - 1

============================================================

Problem 15, Part (a)

Anything parallel to Ax+By = C will be in the form Ax+By = D. The only thing changes is the C becomes D, where [tex]C \ne D[/tex]. If C = D, then we'd be talking about the exact same line rather than two parallel lines.

We're given 5x+2y = 7. The answer is in the form 5x+2y = D. Plug in (x,y) = (0,10) to find the value of D

5x+2y = D

D = 5x+2y

D = 5(0)+2(10)

D = 20

The equation 5x+2y = D updates to 5x+2y = 20

Answer:  5x+2y = 20

============================================================

Problem 15, Part (b)

If you are given Ax+By = C, then anything perpendicular to this is Bx-Ay = D. Here it's possible that C = D; however, it's likely that they'll be different.

The given equation 5x+2y = 7 is perpendicular to anything of the form 2x-5y = D. We'll plug in the given point to find D.

2x-5y = D

D = 2x-5y

D = 2(0)-5(10)

D = -50

Answer:  2x-5y = -50

Related Questions

A chicken is born weighing 1 ounce. It gains 2 ounces each week.
Write an equation that shows the relationship between the chicken's age in weeks, x, and its
weight in ounces,

y = ?

Answers

Answer:

y = 1 + 2x

or

y = 2x + 1

Step-by-step explanation:

I hope this helps!

Let "x" represent the chicken's age.

"Y "demonstrates the ounces.

Given the two similar triangles below, which proportion is not true?
16.5 cm
12 cm
11 cm
با این
8 cm
10.5 cm
7 cm

Answers

Answer:

10.5

Step-by-step explanation:

Given the two similar triangles below, which proportion is not true?

i need help with this can ya help

8/12 = 7/10.5 11/7 = 16.5/127/8 = 10.5/1211/16.5 = 8/12

Sorry i know this isnt an answer.

Write 5 • 5 • 5 • 5 • 5 • 5 • 5 using an exponent.

Answers

Answer:

5^6

Step-by-step explanation:

5 was multiplied repeatedly 6 times, so it's 5 to the power of 6

Answer:

5 to the power of 6 or 5^6

Step-by-step explanation:

Please help me with this problem

Answers

Hello this will be easy for you.

Look at the picture, you have the angle UTR which is of 90° degrees. Thus the angle UTS is also 90° .

But the sum of the angles of a triangle is by property equal to 180° so the angle UVT must be equal to 180-90-64 = 26°.

Now we are getting near to solve that x+8 degrees angle.

Recall that UVT is 26° ok ? So 180-26 = x+8

Thus

x+8 = 154

x = 154 - 8

x = 146

Finally the angle UVS = 154 and the value of x = 146

You can see all the angles in the image attached below

Good luck you will be the best

Need help from mathematics only ?

Answers

9514 1404 393

Answer:

  8.  50 yards

  9.  9%

Step-by-step explanation:

In each case, we fill in the given values in the formula, then divide both sides of the equation by the coefficient of the variable.

8)

The missing formula is ...

  A = LW . . . . where A is area, L is length, W is width

  6000 yd² = (120 yd)W

  W = (6000 yd²)/(120 yd) = 50 yd . . . the width of the field

__

9)

The missing formula is ...

  I = Prt . . . . where I is the interest on principal P at rate r for t years

  1800 = 5000(r)(4)

  r = 1800/20000 = 0.09 = 9% . . . interest rate on the investment

Describe the transformation of g(x)=4|x|

Answers

[tex]g(x) = 4 |x| = x = 0[/tex]

geomtry plz help 15 points

Answers

Answer:

m∠A=88°

Step-by-step explanation:

∠ABC=∠ACB=46° (base angles of isos triangle)

           ∠BAC=180°-46°-46° (angle sum of triangle)

                     =88°

According to the Isosceles Triangle Theorem, if two sides of a triangle are congruent, then the angles opposite of those sides are congruent.

Therefore, in the triangle from the picture, m
Now applying the Triangle Sum Theorem, all interior angles of a triangle must sum up to 180°.

Therefore, m
We can create an Algebraic equation to find the angle measure of angle A because we know the angle measures of angles B and C, and we know all three angles must sum up to 180°.

46+46+x=180

x = the measure of angle A

92+x=180

92-92+x=180-92

x=88

Therefore, the measure of angle A is 88°.

9.
Identify the point corresponding to Q.

IT'S NOT A. Q' (-3, -4)

A. Q′ (−3, −4)

B. Q′ (−4, 1)

C. Q′ (−1, −4)

D. Q′ (−4, −3)

Answers

Answer:

C(-1, -4)

Step-by-step explanation:

see the point reflected over the line through the vertex point

Answer:

D. Q′ (−4, −3)

Step-by-step explanation:

From looking at the graph it looks like the answer would be

Q= (3, -4) if the X-axis goes first

Q= (-4, 3) if the Y-axis goes first


[tex]1 - 25x {}^{2} [/tex]
what's the answer po?

Answers

Solution:

[tex]1 - {25x}^{2} \\ = (1)^{2} - (5x {)}^{2} \\ = (1 - 5x)(1 + 5x)[/tex]

Answer:

(1 - 5x)(1 + 5x)

Hope it helps.

Do comment if you have any query.

Line f passes through points (5, 10) and (9, 1). Line g is parallel to line f. What is the slope of line g?

Answers

Answer:

-9/4

also known as

-2  1/4

Step-by-step explanation:

(10-1)/(5-9) = 9/-4

parallel = same slope

Answer:

slope = - [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Calculate the slope m of line f using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 10 ) and (x₂, y₂ ) = (9, 1 )

m = [tex]\frac{1-10}{9-5}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]

Parallel lines have equal slopes , then

slope of line g = - [tex]\frac{9}{4}[/tex]

I need the answer ASAP please, 415 divided by 5

Answers

Answer:

83

Step-by-step explanation:

415/5

= 83

415 divided by 5 is 83.

Use the given transformation to evaluate the integral

∫R(15x+10y)dA, where R is the parallelogram with vertices (-3, 12), (3, -12), (6, -9), and (0, 15); x=1/5(u+v), y=1/5(v−4u).

Answers

Answer:

Step-by-step explanation:

I hate you

Help, please! You will be extremely smart if you answer this question, and if you do I will give brainliest. The test ends soon please help.

Answers

Answer:

B. y=6-1/3t

Step-by-step explanation:

If you graph this equation, it matches the given graph. Hope this helps :)

Ned fills 2/3 of a bucket in 15 of a minute. How much time will it take him to fill the bucket?

Answers

we know he filled 2/3 of the bucket in 15mins, how long for the "whole", namely 3/3 = whole, bearing in mind that 3/3 = 1, just the same as 7/7 = 1 or 1,000/1,000 = 1, so one whole is always 1 fraction wise.

[tex]\begin{array}{ccll} fraction&mins\\ \cline{1-2} \frac{2}{3}&15\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{2}{3}~~}{1}=\cfrac{15}{x}\implies \cfrac{2}{3}x=15\implies \cfrac{2x}{3}=15 \\\\\\ 2x=45\implies x=\cfrac{45}{2}\implies x=22\frac{1}{2}\qquad \textit{22 minutes and 30 seconds}[/tex]

What are the x - intercepts of the graphed function

Answers

Answer: second one is the correct answer

Step-by-step explanation:

Are the ratios 6:1 and 19:3 equivalent?

Answers

Answer: no<3

Step-by-step explanation:

leave a thanks if helped plz


What is the position of B on the number line below?
Write your answer as a fraction or mixed number

Answers

Step-by-step explanation:

B = 1 4/5

because 1 is completely to the left, and from the distance between 1 and 2 B is at the end of the 4th of 5 sub-segments.

and 1 4/5 would be also 9/5, because B includes the 5 sub-segments (of 5) between 0 and 1. and then the 4 of 5 sub-segments between 1 and 2. so that are 9 sub-segments in total.

and each sub-segment represents 1 out of 5 (= 1/5) parts of each number interval.

therefore, we have 9×1/5 = 9/5.

If your heart rate is 155 beats per minute during strenuous exercise, what is the time per beat in units of seconds

Answers

Answer:

5 beats per second

Step-by-step explanation:

statistic operation depends

$332.8 30percent off

Answers

Answer:

232.96$

Step-by-step explanation:

A group of 200 adults were asked whether they prefer getting their news from newspapers or from TV. The gender of the adults and their responses are
reported in the following table.
Newspapers
Women 30
Men 50


TV
52
68


(a) What percentage of the adults are women?

(b) What percentage of the adults prefer TV?

Answers

Answer:

41% of adults are women.

60% of adults prefer TV.

Step-by-step explanation:

Women 30 Newspaper 52 TV 82 In Total so the percentage would be 82 out of 200 which would be 41 therefore 41% of adults are women.

TV scores 52 + 68 = 120 therefore 120 out 200 is the percentage of the adults that prefer TV 60 therefore 60% of the adults prefer TV.

The percentage of the adults prefer TV is 60%.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a group of 200 adults were asked whether they prefer getting their news from newspapers or from TV.

Here,

                  Newspapers         TV

Women              30                 52

Men                   50                  68

Number of women =30+52

= 82

a) Percentage of the adults are women

= 82/200 ×100

= 41%

b) Percentage of the adults prefer TV

Number of adults watch TV = 52+68

= 120

Here, 120/200 ×100

= 60%

Therefore, the percentage of the adults prefer TV is 60%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

you have a goal to sell 100 tickets to a school pizza party if you only completed 50 percent of your goal , did you sell more or fewer than 100 tickets ?

Answers

Answer:

you sold fewer than 100 tickets. you only sold 50 tickets out of your 100 ticket goal.

A snack food company produced 58,115 ounces of bite-size cookies. The company will put the cookies into 9-ounce bags. About how many bags will the company be able to fill? Choose the better estimate.
A.10,000
B.6,000​

Answers

Answer:

The answer is B. about 6,000

Step-by-step explanation:

58,115/9=6,457

Mr. and Mrs. Bruce took a boat trip which left Cala for Friends’ Island at 11:45 in the morning. The trip lasted for 1 hour and 20 mins. When did they arrive at Friends’ Island?

Answers

they arrived at 1:05

x-10/3=5x+2/2 I need help with he next step please

Answers

Answer:

x2 the left side and x3 the right side of the equation

Answer:

X = -2

First you cross multiply, and then you expand to get 15x+6

after that its basic algebra with adding/subtracting from each side, simplifying, and then divide both sides by -13.

5x + 4y + 7x + y
Answer ?

Answers

Answer:

12x+5y

Step-by-step explanation:

add 5 + 7 because they both have x and add 4 and 1 because y couts as one so in the end you'll get 12x+5y

Answer:

Step-by-step explanation:

5x + 4y + 7x + y

Need to arrange all who have the same variable

=5x + 7x +4y + y

=12x+5y

Mr. D math
Find the distance between (12,5) and (3,4) approximated to the 1 decimal place.

select the correct response
0.2
9.3
9.1
9.4

Answers

Answer:
9.1

Explanation:
Use the distance formula
d=sqrt[(x2-x1)^2 + (y2-y1)^2]
d=sqrt[(3-12)^2 + (4-5)^2]
d=sqrt[(-9)^2 + (-1)^2]
d=sqrt[81 + 1]
d=sqrt[82]
d=9.055≈9.1

Where (x1, y1) is (12,5) and (x2, y2) is (3, 4)

The distance between (12,5) and (3,4) approximated to the 1 decimal place is 9.1.

To find the distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], we will use the distance formula:

Distance = [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]

In this case, [tex]\((x_1, y_1) = (12, 5)\)[/tex] and [tex]\((x_2, y_2) = (3, 4)\)[/tex].

Substituting these values:

Distance = [tex]\(\sqrt{(3 - 12)^2 + (4 - 5)^2}\)[/tex]

Distance = [tex]\(\sqrt{(-9)^2 + (-1)^2}\)[/tex]

Distance = [tex]\(\sqrt{81 + 1}\)[/tex]

Distance = [tex]\(\sqrt{82}\)[/tex]

Now, approximate value of [tex]\(\sqrt{82}\)[/tex] to 1 decimal place:

[tex]\(\sqrt{82} \approx 9.1\)[/tex]

So, the correct response is 9.1.

Learn more about distance here:

https://brainly.com/question/32846365

#SPJ3

solve pls brainliest

Answers

Answer:

1. -64

2.-27

Step-by-step explanation:

Hopes this helps

:)

Seedless watermelon costs $.99 per pound. Find the cost per kilogram

please help and show the solution and answer thank uou

Answers

Answer:

$2.20/kg

Step-by-step explanation:

First, we must convert pounds to kilograms.

1 lb = 0.45 kg

If 1 lb costs $.99

then 0.45 kg costs $.99

0.45 kg = $.99

dividing both sides by 0.45

1 kg = .99 ÷ 0.45

1 kg = $2.20

Maria wrote her 606 word
essay in 20 1/5 minutes. At
what rate is she typing?

Answers

Answer:

29.5

Step-by-step explanation:

Multiply 606 and 20.5 and get 29.5.

A store pays $79 for a desk and marks the price up by 10%. What is the new price?​

Answers

The new price would be $86.9

Answer: 86.90$

Step-by-step explanation:

10/79=7.90$. 7.90$ + 79.00$= 86.90$

Other Questions
goodmorning!!!!! have a happy friday! remember you are worth it! keep going and dont give up! The president does which of the following when making an appointment to the Supreme Court? Select one:a.Tends to ignore race as a consideration for selecting a judgeb.Often selects a candidate who is neither decidedly liberal or conservativec.Remains impartial by refusing candidate endorsements from members of the Supreme Courtd.Tends to choose judges from their own political party 1/ sin 3x - sinx = 0 how is billy weaver naive? What are the provisions of the National Emergency Act? can someone please help me!! this assignment is due at 11:59 I need this done Will give brainliest to whoever helps pls Please kindly help in fully explaining the 5 notable vegetations in Africa? lab report interdependence of organisms. plz someone tell me the project i need everything not just the data granting a pharmaceutical company a patent for a new medicine will lead to Write the subtraction expression as an equivalent addition expression and then evaluate it.2(10) explain how the cold war functioned as the basis for international relations. what were some main featetures of this period of time and what were the key flashpoints. What information should be included in a summary?the most important details or main ideasthe least important details and main ideasall of the author's thoughts and opinionsall the examples and supporting details Which functions have a vertex with a x-value of 0? select three options. What is power of 3 square root of 4 / square root of 2 in simplest radical form? French work. Its super easy. Ten Questions. lodie (14) __ (aller) rencontrer ses copines un petit restaurant dans Le Marais pour djeuner ensemble. Il (15) __ (tre) dj midi, lodie (16) __ (ne pas vouloir) arriver la dernire, et en plus, elle (17) __ (mourir) de faim donc, elle (18) __ (commencer) marcher dun pas plus vif vers le restaurant. Quand elle (19) __ (arriver) au restaurant, lodie (20) __ (avoir) si chaud quelle (21) __ (devoir) enlever son pull. Le soleil lui (22) __ (faire) si mal aux yeux quelle (23)__ (se mettre) les lunettes de soleil. Le restaurant (24)__ (sembler) tre comme tous les autres dans son genre: charmant, pas trop cher, style bistrot avec bonne ambiance. Evaluate 12.3v+11.9w when v=7 and w=8.please Whats the range of = 1 2 2 + 6 + 6 Would you please help me solve for x it should be a degrees but Im not sure what it is explain why the missouri compromise increased sectionalism