Consider the line y=7x+4.
Find the equation of the line that is parallel to this line and passes through the point ( -3, 5)
Find the equation of the line that is perpendicular to this line and passes through the point ( -3, 5)

Consider The Line Y=7x+4. Find The Equation Of The Line That Is Parallel To This Line And Passes Through

Answers

Answer 1

Answer:

parallel y=7x+26

perpendicular y=1/7x+32/7

Step-by-step explanation:

parallel line have the same slope

y-5=7(x-(-3))

y-5=7(x+3)

y-5=7x+21

y=7x+21+5

y=7x+26

perpendicular slope  is the opposite of the original slope of 7

y-5=-1/7(x-(-3))

y-5=-1/7(x+3)

y-5=-1/7x-3/7

y=-1/7x-3/7+5

y=-1/7x+32/7


Related Questions

if $1000 is divided among the three people In the ratio 2:3:5,find the share of each​

Answers

Answer:

$200, $300, $500

Step-by-step explanation:

Given data

Total Amount= $1000

Ratio=  2:3:5

The combined ratio is = 10

Let us apply the part to all method to find the individual amount

The first person will take

10/1000= 2/x

1/100=2/x

cross multiply

x= 200

The second person will take

10/1000= 3/x

1/100=3/x

cross multiply

x= 300

The third person will take

10/1000= 5/x

1/100=5/x

cross multiply

x= 500

Phil ate 2/3 of a Pizza. Erica eight 4/9 of the same sized pizza. Who ate more pizza? Explain

Answers

Phil did. 2/3 is greater than 4/9

Answer:

Phil ate more

Step-by-step explanation:

The LCD of both fractions is 9. Thus,

Phil ate 6/9 of a pizza while

Erica only ate 4/9 of the same sized pizza

What is 2/3x2/5pls I need an answer fast sorry I suck at math

Answers

Answer:

4 /1 5 also 0.26666666666

Please mark as brainliest

Have a great day, be safe and healthy  

Thank u  

XD

On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).
What is the equation of the line that is parallel to the given line and passes through the point (2, 3)?

x + 2y = 4
x + 2y = 8
2x + y = 4
2x + y = 8

Answers

9514 1404 393

Answer:

  (b)  x +2y = 8

Step-by-step explanation:

The only offered line that includes the given point is ...

  x +2y = 8

__

We can check the other choices:

  x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)

  2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice

_____

Getting there from scratch

The standard form equation for a line can be written from ...

  (y2 -y1)x -(x2 -x1)y = constant

  (-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)

  -4x -8y = constant

For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.

  x +2y = constant

The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...

 x +2y = (2) +2(3) = constant = 8

The desired line has the equation ...

  x +2y = 8

Answer:

B on edge

Step-by-step explanation:

a family wants to have two children determine the probability of a family having two girls​

Answers

50/100 50% it could be a girl or 50% it could be a boy

many do apply pls helpn

Answers

Answer:

a and b

Step-by-step explanation:

i think b i know a for sho

Answer:

32w+3

Step-by-step explanation:

8x4w=32w and you are left with the 3, so it ends up 32w+3

A random sample of 30 males with online dating profiles are recruited for a study about lying in online dating profiles. Each male's actual height is measured and compared to the height posted in their online profile. The difference between the online profile height and the actual height (profile- actual) for each male is computed. The mean difference in height is determined to be 0.57 inches with a standard deviation of 0.81 inches. Determine a 95% confidence interval for the difference in mean profile height and mean actual height of online daters.

Answers

Answer:

The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 30 - 1 = 29

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0452

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0452\frac{0.81}{\sqrt{30}} = 0.3[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.57 - 0.3 = 0.27 inches.

The upper end of the interval is the sample mean added to M. So it is 0.57 + 0.3 = 0.87 inches.

The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.

Which of the following is true about the figure?

a. m MUC - m MUP = m PUC
b. m DUC + m VUA = m DUV
C. m MUC = m MUV = m VUA = m AUD
d. m CUA + m DUP = m PUM​

Answers

Answer:

a. m<MUC - m<MUP = m<PUC

Step-by-step explanation:

From the options given, the only statement that is true of the figure shown is:

a. m<MUC - m<MUP = m<PUC

Rationale:

m<MUC = m<MUP + m<PUC (Angle Addition Postulate)

Subtract m<MUP from each side

m<MUC - m<MUP = m<PUC

Simplify fully
4x2 + 4x
2x² – 2

Answers

Answer:

4 × 2 = 8 + 4 = 12 × 2 = 24 - 2 = 22

22 is the FINAL answer

#carryonlearning

The diameter of a spindle in a small motor is supposed to be 5.8 millimeters (mm) with a standard deviation of 0.14 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 12 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 5.88 mm. What are the null and alternative hypotheses (H0 = null hypothesis and Ha = alternative hypothesis)?
A. H0: Mean= 5 and Ha: Mean is not equal to 5.
B. H0: Mean = 5 and Ha: Mean <5.
C. H0: Mean < 5 and Ha: Mean > 5.
D. H0: Mean = 5 and Ha: Mean > 5.

Answers

Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.

Step-by-step explanation:

Definitions:

Null hypothesis [tex](H_0)[/tex] is a statement describing population parameters according to the objective of the study. It takes "≤,≥,=" signs.   Alternative hypothesis[tex](H_a)[/tex]  is a statement opposite to the null hypothesis elaborating population parameters according to the objective of the study. It takes ">, <, ≠" signs.

Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.

If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.

i.e. [tex]H_a: \text{Mean}\neq 5.8[/tex]

So, [tex]H_a: \text{Mean =5.8}[/tex]

The required null and alternative hypotheses:

H0: Mean= 5 and Ha: Mean is not equal to 5.

Please answer number 9 I’ll give brainliest thank you!

Answers

Answer:

C (95 people)

Step-by-step explanation:

380 is basically like 100% so 380÷100= 3.8 (which is equal to 1%), then use a calculator to do 3.8x25=95 (this makes 25%)

Answer:

C.95

Step-by-step explanation:

25/100=0.25

380*0.25=95

Please help immediately!!

Answers

Answer:

x=7°      y=4°

Step-by-step explanation:

7x+131=180

7x=180-131=49

x=49/7=

11x+y+99=180

77+y+99=180

y=180-99-77

y=

Nicholas has a salt shaker in the shape of a cylinder. It has a radius of 8 mm and a height of 30 mm. What is the lateral surface area of the shaker?

Answers

Answer:

1507.96

Step-by-step explanation:

NASA launches a test rocket with an initial velocity of 235 meters per second from an initial height of 15 meters above sea-level. Find a quadratic function that models the height of the rocket, in meters above sea-level, as a function of time t , in seconds after the launch. (HINT: 4.9 meters = 16 feet) Use your model to answer the following questions. Assuming that the rocket will splash down into the ocean, how many seconds after launch does splashdown occur? (round to the nearest tenth of one second) The rocket splashes down after seconds. What is the maximum height above sea-level attained by the rocket? (round to the nearest meter) The maximum height is meters above sea-level.

Answers

9514 1404 393

Answer:

48.0 seconds2833 meters

Step-by-step explanation:

A graphing calculator shows the points of interest nicely.

  The rocket splashes down after 48.0 seconds.

  The maximum height is 2833 meters above sea level.

__

The equation for the motion is ...

  h(t) = -4.9t^2 +235t +15 . . . . launch at 235 m/s from height of 15 m

The vertex (maximum height) is found at ...

  t = -(235)/(2(-4.9)) = 235/9.8 ≈ 23.980 . . . seconds

Then the maximum height is ...

  h(23.980) = (-4.9(23.980) +235)(23.980) +15 ≈ 2833 . . . meters

The value of t when h(t) = 0 can be found using the quadratic formula.

  t = (-235 -√(235² -4(-4.9)(15)))/(2(-4.9)) = (-235 -√55519)/-9.8

  t ≈ 48.023 ≈ 48.0 . . . seconds

Find the value of f(4) for the function

Answers

Answer:

f(4) = 7

Step-by-step explanation:

The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.

In our case

f(a) = 2(a + 4) -9

could be rewritten as

y = 2(a + 4) - 9

the thing on the inside of the parentheses signifies what the equation is dependent on.

so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.

f(4) = 2((4) + 4) - 9

Now, just follow the order of operations

f(4) = 2(8) - 9

f(4) = 16 - 9

f(4) = 7

During halftime of a soccer ​game, a sling shot launches​ T-shirts at the crowd. A​ T-shirt is launched from a height of 6 feet with an initial upward velocity of 64 feet per second. The​ T-shirt is caught 43 feet above the field. How long will it take the​ T-shirt to reach its maximum​ height? What is the maximum​ height? What is the range of the function that models the height of the​ T-shirt over​ time?
The​ T-shirt takes nothing ​second(s) to reach its maximum height.
​(Type an integer or a​ decimal.)
The​ T-shirt's maximum height is nothing feet above the field.
​(Type an integer or a​ decimal.)
What is the range of the​ function?
A.
6≤h≤70
B.
All real numbers
C.
43≤h≤70
D.
0≤h≤70

Answers

Answer:

During halftime of a footballgame, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 33 feet with an initial upward velocity of 64 feet per second. The T-shirt is caught 48 feet above the field.

Write an expression for " x divided by nine".

Please help!!

10 POINTS

Answers

Answer:

x/9

Step-by-step explanation:

x divided by 9

=> x ÷ 9

Take that and turn it into a fraction

=> x/9

hope this helps and is right. p.s. i really need brainliest :)

Answer:

45

Step-by-step explanation:

You deposit $2000 in an account that pays 7% interest compounded semiannually. After 5 years, the interest rate is increased to 7.28% compounded quarterly. What will be the value of the account after a total of 10 years?

The value of the account will be $_____. (Round to the nearest dollar as needed.)

Answers

9514 1404 393

Answer:

  $4047

Step-by-step explanation:

For an interest rate r compounded n times per year for t years, the effective multiplier is ...

  (1 +r/n)^(nt)

The multiplier for the first 5 years is ...

  (1 +0.07/2)^(2·5) = 1.41059876

The multiplier for the last 5 years is ...

  (1 +0.0728/4)^(4·5) = 1.43437218

Then the account value at the end of 10 years is ...

  $2000(1.41059876)(1.43437218) ≈ $4047 . . . . balance after 10 years

For the plane curve defined by x = 7 cos t, y = 5 cos t, for t in [0, 2π​] the ordered pair that corresponds to t = π/6 is ___

Answers

Answer:

The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]

Step-by-step explanation:

We are given the following plane curve:

[tex]x = 7 \cos{t}[/tex]

[tex]y = 5 \cos{t}[/tex]

Ordered pair for a value of t:

We find (x,y) for these values of t. So, when [tex]t = \frac{\pi}{6}[/tex]

[tex]x = 7 \cos{\frac{\pi}{6}} = 7\frac{\sqrt{3}}{2} = \frac{7\sqrt{3}}{2}[/tex]

[tex]y = 5 \cos{\frac{\pi}{6}} = 5\frac{\sqrt{3}}{2} = \frac{5\sqrt{3}}{2}[/tex]

The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]

Use this model to calculate
3/8×2/6

Answers

Answer:

0.1249

Step-by-step explanation:

that's what answer my calculator gives me. Hope that helped. <3

xoxo

Answer:

6/48 or 1/8 when simplified

Step-by-step explanation:

find the diagonal that goes through the 3D shape.

Answers

Answer:

Diagonal = 13 yd

Step-by-step explanation:

The diagonal of the 3D shape can be solved using the extension of the pythagorean theorem, which is given as: d² = a² + b² + c²

Where,

a = 12 yd

b = 3 yd

c = 4 yd

d = diagonal

Plug in the values

d² = 12² + 3² + 4²

d² = 169

d = √169

d = 13 yd

Someone answer this Please

Answers

Answer:

15 miles

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.

[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]

Take the square root of both sides

[tex]15=c[/tex]

Therefore, the length of the hypotenuse is 15 miles.

I hope this helps!

luego le digo 4yo1 xkw k ​

Answers

Answer:

okay luego le digo 4yo1 xkw k ​

Step-by-step explanation:

pick the Quadrant that you would plot (4,2)
A. Quadrant III
B. Quadrant II
C.Quadrant IV
D.Quadrant I

Answers

Quadrant 1 Reason being all the positive are housed in quadrant 1

Answer:

D.) Quadrant I

Step-by-step explanation:

The quadrants start from Quadrant I (in the top left) and continue counter-clockwise to Quadrant II, Quadrant III, and Quadrant IV

Quadrant I = (+,+)

Quadrant II = (-,+)

Quadrant III = (-,-)

Quadrant IV = (+,-)

Now in this case, (4,2) is positive in the x value, and positive in the y value - so it belongs in Quadrant I!

Question 5 (2 points)
Given the function rule y = 3x + 11, what is the value of y if x = 27

Answers

Answer: Y=83

Step-by-step explanation:

Answer:

y = 92

Step-by-step explanation:

plug in x = 27 into the equation y = 3x + 11,

y = 3(27) + 11

=> y = 81 + 11

=> y = 92

help pleaseeeeeee :(

Answers

Answer:

Do 16 times pi.

Step-by-step explanation:

The closest answer is D.

Answer:

8 (option 1)

Step-by-step explanation:

Mark it as option 1 => 8 is the crt answer

2pi r = 16

r = 8

3x2 - 4x + 2
a) cubic binomial
b) quartic trinomial
c) quadratic trinomial
d) quadratic binomial

Answers

Answer:

c

Step-by-step explanation:

A quadratic trinomial has the form of ax² + bx + c

e.g. 3x² + 4x + 2

A quadratic binomial has the form of ax² + bx

e.g. 3x² + 4x

A cubic binomial has the form : ax³ + bx

3x³ + 4x

Help. Please and a few others are

Answers

Answer:

YES ITS MEDIAN!!!

Step-by-step explanation:

Answer:

yes you are correct it is the median.

Step-by-step explanation:

Just really need a answer to this Savvas question!

Answers

Answer:

Solution given:

radius=r=2cm

height=h=9cm

Volume of cone =⅓πr²h=⅓×π×2²×9=36π0r 113.1cm³

The required volume is 36π0r 113.1cm³

PLEASE HURRYYYYYYYYY​

Answers

Answer:

12r ft

Step-by-step explanation:

you're welcome have a nice day

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