What is an equation of the line that passes through the point ( − 1 , − 3 ) and is perpendicular to the line x − 2 y = 14? pls answer will mark you as brainiest

Answers

Answer 1

Answer:

y = -2x - 5

Step-by-step explanation:

First rewrite the second equation into y = mx + b format:

x - 2y = 14  

2y = x - 14

y = x/2 - 14/2 (Divide both sides by 2)

y = 1/2x - 7

A line perpendicular to another has the negative reciprocal slope

So the slope of our first equation is -2. (Flip 1/2 = 2, then take the opposite)

Plug in the points (-1, -3) for the x and y coordinates.

x (x coordinate) = -1

y (y coordinate) = -3

slope (m) = -2

-3 = -1(-2) + b

-3 = 2 + b

-3 - 2 = b

b = -5

The equation of the line is y = -2x - 5. Hope this helps! :)

Answer 2

Answer:

y = -2x - 5  or 2x + y = -5

Step-by-step explanation:

Let's find the slope of the given line.  

-2y = -x + 14

y = 1/2(x) -7

m = 1/2

The slope of a line perpendicular is the negative reciprocal of 1/2, which is -2

Now use the point-slope form of a line

y + 3 = -2(x + 1)

y + 3 = -2x - 2

y = -2x - 5  or 2x + y = -5


Related Questions

I need help ASAP please

Answers

Answer:

It's actually B

Step-by-step explanation:

The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.

So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B

Geomotry 10th grade easy 25 points

Answers

Answer: 1=60°

Step-by-step explanation:

First, let's take our given angle of 30°

30° is in a right triangle, so the angles must be 90°, 60°, and 30°

Now the angle that is 45° makes angle 1 congruent to angle 60°

Meaning angle 1 is 60°

Answer:

m < 1 = 60

Step-by-step explanation:

Since the transversal is perpendicular to m,

it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.

We use vertically opposite angles property to bring m<1 in to the right triangle.

We now use the sum of interior angles property to obtain,

m < 1 + 30 + 90 = 180

This implies that,

m  < 1 + 120 + 180

We group like terms to obtain,

m < 1 = 180 - 120

This means that,

m < 1 = 60

We could have also used corresponding angles property, then

m < 1 + 30 = 90

m < 1 = 90 - 30

m < 1 = 60

Please help will give Brain

Answers

Answer:

5

Step-by-step explanation:

3(x+3)=4(4+2)

3x+9=24

3x=15

x=5

Hope this helps :)

please hurry if answer is correct i will give brainlyyyyest thx
In this task, you will calculate the area of a complicated shape by splitting it into simpler shapes. Cut out shape C. Shape C is not a regular shape, so you cannot directly apply a formula to find its area. Split shape C into simpler shapes whose areas you can find by applying formulas. List the simple shapes into which you divided shape C, and measure their sides. Write all the measurements in inches.

Answers

Answer:

i could only get part one done

Step-by-step explanation:

Perimeter is a measurement of the distance around a shape and area gives us an idea. Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet

Select the expression that is equal to –10(4x – 5).

Answers

Answer:

-2 (20x - 25)

Step-by-step explanation:

Answer:

40x - 50

Step-by-step explanation:

10(4x)= 40x

10(-5)= - 50

40x - 50

Joe runs an M&M's factory and is reviewing the bagging machines. They drop M&M's into bags on a conveyor belt, with 39 M&M's going into each bag. Write an equation for the number of bags 'B' that can be filled from a supply of M&M's 'T'. Write your equation in the form of B=_____________.

Answers

The equation for the number of bags 'B' that can be filled from a supply of M&M's 'T' will be T / 39.

How to explain the equation

The formula to determine how many bags 'B' can be filled with M&M's from a stockpile of 'T', where each bag contains 39 candies, is:

B = T/39

This computation takes the sum of all M&M's in 'T' and divides it by the quantity of candies present in each sack (39), producing the amount of bags 'B' that can be filled.

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Given the definitions of f(c) and g(x) below, find the value of g(f(5)).
f(x) = 2x – 10
g(x) = x2 + 6x – 8

Answers

Answer:

gf(5) = -8

Step-by-step explanation:

gf(x) = g(x^-1) = x^2 + 6x - 8

f(x) = 2x - 10

gf(x) = 6(2x - 10) - 8

gf(x) = 12x - 60 - 8

gf(x) = 12x - 68

gf(5) = gf(x) = 12x - 68

gf(5) = 12(5) - 68

gf(5) = 60 - 68

gf(5) = -8

What is the value of x?

Answers

Answer:

I have no idea. But I just want to let you know to not put this many points, because people are going to take them without answering the question. And I don't know the answer because there are multiple x's.

Answer:

x = 8

Step-by-step explanation:

Remark

I agree with the other responder. You need only pay 20 points to get our attention. (20 will give us 10).

The length from the intersect point to the circle times the entire length of the secant is equal to any other secant divided up the same way.

Put simpler

Equation

(x + 2)(x + 2 + 2x- 8) = (x + 1)(x + 1 + 2x - 5)

Combine like terms

Solution

(x + 2)(3x - 6) = (x + 1)(3x - 4)                    Remove the brackets on both sides.

3x^2 + 6x - 6x - 12 = 3x^2 + 3x - 4x - 4   Combine the like terms

3x^2 - 12 = 3x^2 - x - 4                             Subtract 3x^2 from both sides

- 12 = - x - 4                                               Add 4 to both sides

-12 +4 = - x

- 8 = - x                                                      Multiply both sides by -1

x = 8

(10*2)*3=( )* ( ) * ( )
=
=

Answers

Answer:

c= 10 d=2 e=10 f=2 g= 10 h= 6 k=1

Step-by-step explanation:

I am not sure about the g, h and k though.

but cube root means the number thrice.

I hope it helps.

factorise p-q-x(q-p)​

Answers

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

Start time: 7:41 P.M.
Elapsed time:
End time: 8:50 P.M.

Answers

Answer:

Elapsed time: 1 hour and 9 minutes

Step-by-step explanation:

7:41 - 8:41 = 1 hour

8:41 - 8:50 = 9 minutes

1 hour and 9 minutes

Hope that helps!

HELP FASTLY WILL MARK BRAINLEST AND GIVE 5 STAR RATING! ANSWER FASTLY PLEASEEE!
[Image: Coordinate plane with points plotted at ordered pairs Q (–4, 4), R (2, 4), S (5, –3), T (2, –3), and U (–4, –3)]

What is the area of polygon QRSTU? _______ square units?

Answers

I tried without a pic this seemed better

Problem PLS HELP MY GRADES GOING DOWN

Answers

Answer:

$248

Step-by-step explanation:

given:

4 deposits

$62

solve:

4 × $62= $248

Answer:

$248

Step-by-step explanation:

You can answer it two ways:

1) add 62 + 62 + 62 + 62 = 248

2) multiply 4 * 62 = 248

Answer: $248


14 cm
12 cm
22 cm
Find the area of the trapezoid. and show Work
A. 108 cm
B. 432 cm
C. 60 cm
D. 216 cm

Answers

Answer:

D. 216 cm

Step-by-step explanation:  

1. I assume 14 is a 22 is b and 12 is h

2. Trapezoid Area Formula

[tex]A = \frac{1}{2}(a+b)h[/tex]

3. Plug in numbers

[tex]A = \frac{1}{2}(14+22)12[/tex]

[tex]216 = \frac{1}{2}(14+22)12[/tex]

Hellohello, if you able to help me then please do. (:

Answers

the answer is L < 5 .

Line d has a slope of 3/2. Line e has a slope of -2/3. Are line d and line e parallel or
perpendicular?

Answers

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect

Here are the score that Jenna has received on her seven quizzes 16 11 20 16 12 17 18 what is the lower quadrille

Answers

Answer:

12

Step-by-step explanation:

lower quartile is the median of 11, 12, and 16

11,12,16,16,17,18,20
median: 16
lower q: 12

Now do you guys understand the question?? I need help.

Answers

Answer:

6th period.

Step-by-step explanation:

Which of the following equations corresponds to the graph below

Answers

Answer:

d) y = -1/2 + 3

Step-by-step explanation:

Looking at the graph, we can use y = mx + b to find the equation. m is the slope and for slope, we go 1 unit down and 2 units to the right. b is the y variable and our b would be 3.

y = mx + b

y = -1/2x + 3

Hope this helps and stay safe, happy, and healthy, thank you :) !!

HELP ASAP will give brainlist

Answers

You use 360 and then minus other numbers

Consider △XYZ Triangle X Y Z is shown. Angle X Z Y is a right angle. What are the ratios of sine, cosine, and tangent for angle Y? sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Z EndFraction; tan(Y) = StartFraction Y Z Over X Y EndFraction sin(Y) = StartFraction X Y Over X Z EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction Y Z Over X Z EndFraction sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction sin(Y) = StartFraction Y Z Over X Y EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction

Answers

Answer:

[tex]\sin Y= \frac{XZ}{XY}[/tex]

[tex]\cos Y= \frac{YZ}{XY}[/tex]

[tex]\tan Y= \frac{XZ}{YZ}[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find [tex]\sin, \cos[/tex] and [tex]\tan[/tex] of angle Y

For angle Y:

[tex]Opposite = XZ[/tex]

[tex]Adjacent = YZ[/tex]

[tex]Hypotenuse = XY[/tex]

The [tex]\sin[/tex] of an angle is calculated as:

[tex]\sin\theta = \frac{Opposite}{Hypotenuse}[/tex]

So:

[tex]\sin Y= \frac{XZ}{XY}[/tex]

The [tex]\cos[/tex] of an angle is calculated as:

[tex]\cos\theta = \frac{Adjacent}{Hypotenuse}[/tex]

So:

[tex]\cos Y= \frac{YZ}{XY}[/tex]

The [tex]\tan[/tex] of an angle is calculated as:

[tex]\tan\theta = \frac{Opposite}{Adjacent}[/tex]

So:

[tex]\tan Y= \frac{XZ}{YZ}[/tex]

Answer:

C, short answer

Step-by-step explanation:

trust

Two sides of a triangle have side lengths of 6 inches and 14 inches. Select all measurements that could be the length of the third side of this triangle

Answers

Answer:

14 on the bottom and 6 going up and down and then you complete the triangle make the other up and down side 6 so it makes a triangle not a sideway one

There are 11 possible values of side x, which are 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

The side lengths of the triangle,

a = 6 inches and b = 14 inches.

A triangle is formed when the length of third side is greater than difference of two sides and less than sum of two sides.

Let the third side is x,

So, the possible values of x could be,

14 - 6 < x < 14 + 6

8 < x < 20

The values of x can be 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.

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Jehle and Liam a bowl serving 0.5÷200 Jehle says the question will be Less than 0.5 Liam says the quotient would be more than 0.5 which student is correct

Answers

Answer:

Jehle is correct.

Step-by-step explanation:

Given - Jehle and Liam a both solving 0.5÷200.

Jehle says the quotient will be Less than 0.5.

Liam says the quotient would be more than 0.5

To find - Which student is correct ?

Proof -

Given expression is 0.5 ÷ 200

It is equivalent to

[tex]\frac{0.5}{200} = \frac{5}{2000} = \frac{1}{400}[/tex] = 0.0025 < 0.5

∴ we get

The expression is Less than 0.5

So, Jehle is correct.

Help ASAP pleaseee lol

Answers

I’ve attached my table of what I’ve done

factorise fully :

4(x - y)^2 - 9(x + y)^2​

Answers

Answer:

- ( 5x + y ) ( x + 5y )

or

-5x^2 - 5y^2 - 26xy

Answer:

Step-by-step explanation:

4(x^2-2xy+y^2)-9(x^2+2xy+y^2)

4x^2-8xy+4y^2-9x^2-18xy-9y^2

-5x^2-26xy-5y^2

-5x^2-xy-25xy-5y^2

-x(5x+y)-5y(5x+y)

(-x-5y)(5x+y) or you can also remove the negative one to get

-(x+5y)(5x+y)

Does anyone know what the rule for the 2 and 3 table could be

Answers

Answer:

table 2= could be multiply each of the numbers by 4

table three= plug the x value in the equation and the y into the equation and then just solve it and make sure you add eight before you put your answer in.

Step-by-step explanation:

I need help on this please!

Answers

Answer:

H, G, F, E

Step-by-step explanation:

If it isn't it's G, H, F, E

Hope this helps

Lin and Kal's ages add up to 41 Lin is 5 years older than Kal. Use the equation from the to find their ages.​

Answers

Kal is 18 Lin is 23 divide then subtract

Use the Distributive Property to write an expression equivalent to 4(5x + 11)

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{If you’re doing the DISTRIBUTIVE PROPERTY... all you have to}\\\large\text{MULTIPLY 4 within your PARENTHESES.}[/tex]

[tex]\large\text{}[/tex][tex]\large\text{4(5x) + 4(11)}[/tex]

[tex]\large\text{4(5x) = 20x}[/tex]

[tex]\large\text{4(11) = 44}[/tex]

[tex]\large\text{\bf = 20x + 44 }[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 20x + 44}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:}[/tex]

[tex]\large\text{Your GUIDE}\downarrow[/tex]

[tex]\textsf{Distributive formula}[/tex]

[tex]\textsf{a(b + c)}[/tex]

[tex]\textsf{a(b) + a(c)}[/tex]

[tex]\textsf{= ab + ac}[/tex]

 

Please help! 30 points!

Use the Law of Cosines to solve the problem.

A ship travels due west for 83 miles. It then travels in a northwest direction for 111 miles and ends up 165 miles from its original position. To the nearest tenth of a degree, how many degrees north of west did it turn when it changed direction? Show your work.

Answers

Answer: [tex]64.2^{\circ}[/tex]

Step-by-step explanation:

According to the cosine rule

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

Here, [tex]a=83, b=111, c=165,\ C=180^{\circ}-\theta[/tex]

Putting values

[tex]\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}[/tex]

So, the ship turns by [tex]64.2^{\circ}[/tex] north of west

The ship turned an at angle of 64.2 degrees north of west

Represent the angle, the ship turned due north of west with theta.

From the figure, we have the following equation

[tex]\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}[/tex]

So, we have:

[tex]\cos(A) = \frac{83^2 + 111^2 - 165^2}{2 * 83 *111}[/tex]

Evaluate the expression on the right-hand side

[tex]\cos(A) = -0.4350[/tex]

Take the arc cos of both sides

[tex]A = \cos^{-1}(0.4350)[/tex]

[tex]A =115.8^o[/tex]

The value of theta is then calculated as:

[tex]\theta = 180 -A[/tex]

This gives

[tex]\theta = 180 -115.8^o[/tex]

[tex]\theta = 64.2^o[/tex]

Hence, the ship turned an at angle of 64.2 degrees north of west

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