Consider the line x-2y=-1 What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?

Answers

Answer 1

Answer:

slope of line that is parallel is 1/2

slope of line that is perpendicular is -2

Step-by-step explanation:

parallel lines have the same slope

perpendicular lines have slopes that are opposite and reciprocal

x - 2y = -1

-2y = -x -1

y = 1/2x + 1/2

the coefficient of the 'x' term represents the slope


Related Questions

The perimeter of a square is given as 8x+20. Write two different expressions for the perimeter. Use factoring to write one of the expressoins. Are the expressions equivalen? Explain

Answers

Answer:

P = 4(2x + 5)

P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)

Step-by-step explanation:

Given that:

Perimeter of square = 4 * s

Where s = side length

If perimeter, P = 8x + 20

Then,

4s = 8x + 20

Divide both sides by 4

4s / 4 = (8x + 20) / 4

s = 2x + 5

P = 4s

P = 4(2x + 5)

Or

P = 2x + 5 in 4 places

P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)

Find the marked prices of the following , given the percentage discount and the sale prices: part a: 12% discount , and the sale price $77
part b : 25% discount , and the sale price $123

Answers

Answer:

A) $87.5

B) $164

Step-by-step explanation:

A) Marked Price (Original Price)

= [tex]\frac{Sale Price}{1 -Discount}[/tex]

=[tex]\frac{77}{1-0.12}[/tex]

=87.5

B) Marked Price (Original Price)

=[tex]\frac{Sale Price}{1 -Discount}[/tex]

=[tex]\frac{123}{1-0.25}[/tex]

=164

Heng tried to define a reflection across line r.

Any point M not on the line of reflection maps to a point M' such that the midpoint L of M→M' is on line r.

Which counterexample shows that Heng's definition does not fully define a reflection?

Answers

The counterexample shows that Heng's definition does not fully define a reflection is Heny fully defined a reflection. Option D

How to determine the counterexample

Consider the counterexample in which point M is above line r and the line itself is a vertical line.

Assume M is located at (0, 2) and that line r is the x = 1 line. Heng's definition states that point M', which has a midpoint L that is on line r, should reflect point M across line r.

However, point M' at (-1, 2) would be the reflection of point M across line r, which does not meet the requirement that the midpoint L lies on line r. Therefore, in this counterexample, Heng's definition does not adequately characterize a reflection.

Learn more about reflection at: https://brainly.com/question/1908648

#SPJ1

Helpppppppppppppppppp is this right

Answers

Answer:

The first one is B and the second one is correct

Step-by-step explanation:

Answer:

I think 1 is actually B and 2 is right -Your friend, Bill Cipher

Step-by-step explanation:

Find the area of the circle to the nearest hundredths ( Use 3.14 for pi) (4cm)

Answers

Answer: 50.24 cm²

Step-by-step explanation:

ASSUMING THE RADIUS OF THE CIRCLE IS THE 4 CM

The formula for the area of a circle is pi(3.14) * r(4)^2

[tex]3.14*4^2[/tex]

[tex]3.14*16[/tex]

[tex]50.24[/tex]

Hope it helps <3 :D

In rectangle LONG, LN = 40 and ON=24. Find LO.​

Answers

Answer: LN 40

Step-by-step explanation: Because thin of the answers and how to do it

Answer: LN 40

Step-by-step explanation:

Find the value of x.

Answers

The value of x is would be A

A car was traveling at a rate of 2 2/3 yards in 3/4 of a minute. How far is is going each minute?​

Answers

i have no idea i’m sorry

Ethan and Bob are having a skateboard race. Ethan began at the starting line
and rode at a constant rate of two feet per second. Bob had a fourteen-foot
head start and rode three feet every five seconds.
What's is the linear equation

Answers

Answer:

aa

Step-by-step explanation:

aa

Write the expression using only positive exponents. Assume no denominator equals zero.
4y^-2

Answers: none of these
-8y^2
1/4y^2
16y^2
4/y^2

Answers

Answer:

The answer is

[tex] \frac{4}{ {y}^{2} } [/tex]

Find the area of the
triangle.

Answers

Answer:

472.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Base (b) = 30 yd

height (h) = 31.5 yd

Area of the triangle

= 1/2 * b * h

= 1/2 * 30* 31.5

=472.5 yd²

if h (x) = |5x - 17|, find h(3)

Answers

Answer:

2

Step-by-step explanation:

5x - 17

5(3) - 17 = 15 - 17 = -2

let me know if its right or wrong

similar right triangles plss helpp

Answers

Answer:

your añswer is c) I hope it helps!

Answer:

C

Step-by-step explanation:

please with full explanation​ please it's urgent

Answers

Answer:

u have some very good handwriting

Point D is the centroid of Triangle ABC. Find CD and CE.
DE = 9

Answers

Given:

Point D is the centroid of Triangle ABC and DE = 9.

To find:

The measures of CD and CE.

Solution:

We know that, centroid is the intersection of medians and it divides each median in 2:1.

In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,

Let the measures of CD and DE are 2x and x respectively.

DE = 9                (Given)

[tex]x=9[/tex]

Now,

[tex]CD=2x[/tex]

[tex]CD=2(9)[/tex]

[tex]CD=18[/tex]

And,

[tex]CE=CD+DE[/tex]

[tex]CE=18+9[/tex]

[tex]CE=27[/tex]

Therefore, the measure of CD is 18 units and the measure of CE is 27 units.

The measure of CD and CE are 18 and 27 respectively

From the given diagram, the following are true:

CD = 2DE

Given that DE = 9

CD = 2(9)

CD = 18

Similarly;

CE = CD + DE

CE = 18 + 9

CE = 27

Hence the measure of CD and CE are 18 and 27 respectively

Learn more on centroid here: https://brainly.com/question/25845737

EXPLAIN when |−x| = x would be true.
HINT: If you are stuck, try substituting each of x = -1, x = 0, and x = 1 into the equation. Then, interpret your results.

Answers

Answer:

It's true when x = a positive number.

Step-by-step explanation:

I don't know how to explain this, so here we go.

The definition of absolute value is the distance a number is away from 0.

In other words, all numbers are now positive or 0.

If |-x| = x, it means x would have to be positive because, well, to prove that, we have to see what it couldn't be a negative number

if x was a negative number (-1), this is what we would get

|-(-1)| = -1

|1| = -1

1 = -1

That's not right!

And this happens in any negative number you do.

Because the absolute value of something cannot be negative

I cannot stress that enough

Since it is the absolute value of -x, x has to be positive, if it isn't, then there is no solution for x.

Any number greater than or equal to zero is a possible answer for the absolute value of something, but the absolute value of something cannot be a negative number

I hope this helps, let me know if you have any questions.

You use it when dealing with absolute value. Those lines around the x represent absolute value. AV essentially means that whatever is in the lines equals that number, but positive. AV by definition means the distance from 0.

So, 7 and -7 are both 7 (absolute value) from 0.

Hope that helps!

7th grade please solve the problem above. Write a paragraph explaining how you found the solution you must include each step for solving please!!! ​

Answers

Answer:

x=0

Step-by-step explanation:

You must isolate the variable to solve for it, so subtracting 14 from the left is the first thing to do. This can be supported by using PEMDAS, whereas we are doing the inverse here to solve for something in the equation. This gives us 2x=0. Next, we have to divide by 2, which gives us x=0.

What is the probability of NOT choosing a 4?

Answers

9/16

7 of the squares are 4 so we just substract that from the total of 16 and we get 9

What is X for brainliest

Answers

Answer:

the value of x is 2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Given 3 parallel lines intersected by 2 transversals then the parallel lines divide the transversals proportionally, that is

[tex]\frac{3x}{4}[/tex] = [tex]\frac{7.5}{2.5x}[/tex] ( cross- multiply )

7.5x² = 30 ( divide both sides by 7.5 )

x² = 4 ( take the square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME ASAP

Answers

Answer:

156 dollars

Step-by-step explanation:

Is this a function?






Help me plz and i will give you the brainlest

Answers

Answer:

It is a function because the input values are different.

Find the area of the trapezoid. A drawing of a trapezoid with length of two parallel sides equal to a mixed fraction of one and a half centimeters and three and a half centimeters. The altitude of the trapezoid is 4 centimeters.

Answers

Answer:

[tex]10cm^2[/tex]

Step-by-step explanation:

We are given that

Two parallel sides of trapezoid are

[tex]a=1\frac{1}{2}cm=\frac{3}{2}=1.5cm[/tex]

[tex]b=3\frac{1}{2}=3+0.5=3.5 cm[/tex]

Height of trapezoid, h=4 cm

We have to find the area of the trapezoid.

We know that

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

Where a and b are two parallel sides

h=Height of trapezoid

Using the formula

Area of trapezoid=[tex]\frac{1}{2}(1.5+3.5)\times 2[/tex]

Area of trapezoid=[tex]10cm^2[/tex]

Solve the simultaneous equations.
Please help

Answers

Answer:

x=1/2, y=4

Step-by-step explanation:

Double both sides of the top equation:

4x+6y=26

Now subtract boths sides of the second one from the first one:

(4x+6y) - (4x-y) = 26 - (-2)

7y = 28

so y = 4

4x-y=-2 so 4x-4=-2

4x=2

x=1/2

Using The graph below identify the axis of symmetry for the parabola below 

Answers

Answer:

x=-3

Step-by-step explanation:

The axis of symmetry is the line that separates a parabola directly in half. It is measure on x axis because it is being split in terms of that number. Next, you identify the origin and find exactly where the parabola is in half and that is your answer. Another way to do this would be to identify the vertex of the parabola. The answer is the x coordinate of the location of the vertex. (The highest point of a parabola.)

1 Find the x-intercept as a point (x,y).
I'm not quite sure what to do can someome please help me quick. I'll make brainliest​

Answers

Answer:

x,0

Step-by-step explanation:

x-intercept just means where the line crosses the x axis. the x-intercept is x,0

Answer:

X intercept is ( -1 , 2)

Step-by-step explanation:

Can somebody give the answer pls

Answers

Answer: OOO I KNOW THE FOURTH ONE

Step-by-step explanation: y^2  +  z^2 = x^2

Answer:

D

Step-by-step explanation:

According to the Pythagorean's theorem, in a right triangle, the sum of the adjacent side squared and opposite side squared is equal to the hypotenuse squared in other words

[tex]y^{2} + z^{2} = x^{2}[/tex]

Find an expression which represents the difference when (6x-3y) is subtracted from (9x+2y) in simplest terms.

Answers

Answer:

[tex]3x+5y[/tex]

Step-by-step explanation:

Subtract (6x-3y) from (9x+2y):

[tex](9x+2y)-(6x-3y)[/tex]

This can also be seen as:

[tex](9x+2y)-1(6x-3y)[/tex]

Distribute the -1 to (6x-3y):

[tex](9x+2y)-1(6x)-1(-3y)\\\\(9x+2y)-6x+3y[/tex]

Simplify the parentheses:

[tex]9x+2y-6x+3y[/tex]

Group like terms:

[tex](9x-6x)+(2y+3y)[/tex]

Combine:

[tex]3x+5y[/tex]

This expression can't be further simplified. Therefore, 3x+5y is the answer.

:Done

2.5( 2 + 2) x (2^2 + 2^2) =

Answers

Answer:

80

Step-by-step explanation:

2.5(2+2) x (2^2+2^2)

2.5(4) x (4+4)

10 x 8

80

your answer is 80 :)

Answer:

80

Hope this helps :3

How to tell the difference between multiplication and division word problems?

Answers

Answer:

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction and division. The result of a multiplication operation is called a product. And division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication

multiplication word problems would usually have- by, product, times, triple, double, groups of

division word problems what are usually have- equal parts, divide, Half of, ratio, quotient, out of



hope this helps :)

On a windless day In Janurafy, Carl ties 300 helium filled balloons to his lawn chair 80ft from his 20ft tall house, and begins a vergical ascent into the sky. Hos high is carl when the angle lf depression from carl to the top of his house is 42°

Answers

Answer:

The answer is below

Step-by-step explanation:

θ = 90° - 42° = 48°

The angle formed is a right angled triangle, therefore trigonometric identities can be used to find the length of the triangle sides.

tan(θ) = opposite / adjacent

tan(48) = 80 / h

h = 80 / tan(48)

h = 72.03 ft

h is the vertical distance from carl to the top of his house, to get his total height to the ground (H), we use:

H = h + height of house

H = 72.03 + 20

H = 92.03 ft

Therefore Carl is 92.03 ft high

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