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

Answer:

cirle - the second line

triangle - the last one

parallelogram - the second to the last

traprzoid - the first line

KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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The length and width of the rectangle with a perimeter of 378ft are 168ft and 21ft respectively.

The formula used in calculating the perimeter of a rectangle is expressed as;

P = 2( l + w )

Where l is length and w is width.

Given the data in the question;

Let 'x' represent the width of the rectangle.

Plug the given values into perimeter formula and solve for x .

P = 2( l + w )

378 = 2( 8x + x )

378 = 2( 9x )

378 = 18x

18x = 378

x = 378/18

x = 21

Now, we find the length and width of the rectangle.

Width of the rectangle w = x = 21ft

Length of the rectangle l = 8x = 8( 21 ) = 168ft

Therefore, the width of the rectangle is 21ft while its length is 168ft.

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\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

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Answer:

I answered your duplicate question. Make sure to check out the answer, and I hope it helps!

Answer:

1.6 divided by 8 is 0.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

In similar polygons, corresponding sides are in  proportion.

Scale factor k = \(\frac{JK}{EF} = \frac{20}{8}=\frac{5}{2}\) = 5 : 2

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

4x ^ 11 sqrt 5

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

4x^11 \(\sqrt{5}\)

Step-by-step explanation:

You can simplify the 20 inside of the radical by finding its prime factors. 20 has 3 prime factors: 5, 2, and 2. Since the 2 occurs twice, we can cancel out those 2s in the 20 itself and put a singular 2 outside of the radical. It is essentially turning \(\sqrt{20}\) into 2\(\sqrt{5}\). Since we now have simplified that 20, the entire equation is now 4x\(\sqrt{5x^2^0}\). We can root x^20 to get x^10, and \(\sqrt{5}\) stays that way. The entire equation is now 4x\(\sqrt{5}\)x^10, which can be simplified to \(4x^1^1\sqrt{5}\).

Answer:

Step-by-step explanation:

4 Section on the spinner and three spins:

4^3=64

The number of individual outcomes when spinning the wheel three times is 64 times

In mathematics, a base number raised to an exponent is referred to as a power. The base number is the factor that is multiplied by itself, and the exponent indicates how many times the base number has been multiplied.

A power exists as the product of multiplying a number by itself. Usually, power is illustrated with a base number and an exponent. The base number tells what number exists being multiplied. The exponent, a small number written beyond and to the right of the base number, tells how many times the base number exists being multiplied.

Given

Sections = 4

no. of spinners per player = 3

no. of spinners per player per game = 4 ³ = 4 * 4 * 4 = 64

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Answer:

3. the individual parts of an expression.

Step-by-step explanation:

an example would be 5x + 2y - 6

5x, 2y, and 6 are all terms that are separated by symbols like +,-,× etc.

Answer:

Angle 7

Step-by-step explanation:

It is on the same side down from 3 so it would be congruent because they are lined up.

Answer:

40x+24y-56=

8(5x+2y-7)

Step-by-step explanation:

To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.

First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:

C = π × 26

C ≈ 81.64 inches

This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.

Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:

1200 / 81.64 ≈ 14.68 revolutions

Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.

Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.

Therefore, the tack is located 13 inches above the ground.

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Answer:

6/18

Step-by-step explanation:

6+4+8 equals 18

Answer: 2/9

Step-by-step explanation:

Add 6 + 4 + 8 to find the denominator.

6 + 4 + 8 = 18

4 is the numerator.

4/18

Simplify 4/18

= 2/9

Hope this helps!!! :)

Let the number of history textbooks be h and the number of physics textbooks be p.

It was given that the bookstore sells a combined total of 347 books. Thus we have:

It is also given that the number of history textbooks sold was 79 more than the number of physics textbooks. This gives:

We can substitute for h into the first equation:

Solving, we have:

Substitute for p in the second equation, we have:

Therefore, there were 134 physics textbooks and 213 history textbooks.

Answer:

3) 3 3/4

Step-by-step explanation:

Answer:

the answer is 24 sides

explanation

Answer:

0.83,-7.375,0.27,1.18

Answer:

-0.83(3 goes on forever)

-7.375

-0.27(27 goes on forever)

-0.185(185 goes on forever)

Step-by-step explanation:

this is really easy, a fraction is really when broken down, is just a simple division problem, we will take the second problem as an example;

-7 3/8

to solve for the fraction, we can look at it as a problem itself

-7 ( 3 / 8 )

solve said division problem

3 / 8 = 0.375

and add whatever whole numbers you have to this, theres no need to change any proportional relationships between any of the numbers

-7.375

The equation of the line parallel to the line  7x - 4y = - 5 and passing through (16, - 4) is y = (7/4)x - 32.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know lines parallel to each other have the same slope which is

7x - 4y = - 5 ⇒ - 4y = - 7x - 5 ⇒ y = (7/4)x + (5/4) to our required line will also have the same slope passing through the point  (16, - 4).

Therefore, - 4 = 16(7/4) + b.

- 4 = 28 + b.

b = - 32.

Therefore, y = (7/4)x - 32 is the required line.

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Answer:

99 m to nearest metre.

Step-by-step explanation:

Hypotenuse = 135,  opposite side = ?

- so we need the sine function

sin 47 = x / 135 were x is the height of the kite.

x = 135 * sin 47

= 98.73 m

Answer:

96?

Step-by-step explanation:

The total number of blocks the first time in the day:

14 +34 = 48

Mutiply that by 2 to see how many blocks he does twice a day

48(2)= 96

Answer:

the answer is 14

Step-by-step explanation:

7+7=14

I hope this help

Answer:

14

Step-by-step explanation:

Answer:

Hey, I've been jumping back and forth for the last few hours whether I should post this but in the end, I just can't find the answer to this, it's for this week's discussion board post for my class. And honestly, I have no idea where to start, it said to refer back to a previous section to get an idea of what you're supposed to do but that made me even more confused. I got 1 out of 3 questions done by looking up a tutorial but the other 2 I have no reference at all to solve it. I have 2 pages worth of notes trying to solve this but I'm not getting anywhere. I know I'm not the smartest but it's been about 4 hours now.

So a push in the right direction would be appreciated, or an example so I can see how it's done because I'm getting nowhere looking through our lessons. And it could be because I'm horrid at answering word problems that I don't understand it, but without an example, I'm not getting anywhere. All I got so far to go off to answer these are:Cylinder: (Height - 6 inches) (Surface Area - 275) (Radius - 4.26)

- Although I'm pretty sure to solve the first 2 you only need the height but could be wrong.

Part a: Assume that the height of your cylinder is 6 inches. Consider A as a function of r, so we can write that as A(r). What is the domain and range of A(r)?

-I think this is (-10.26,4.26) but I can't verify the answer on the school website like the other part of the problem here.

Part b: Continue to assume that the height of your cylinder is 6 inches. Write the radius r as a function of A. This is the inverse function to A(r), i.e. r as a function of A or r(A). What is r(A) and what is the domain and range of r(A)? What is r(A)?

r(A)=

-I have no idea how to tackle this part, it gave this equation to "help me":

"A(r) = 2πr^2+2πrh = 2πr^2+12πr"

As it suggests I tried this on a calculator and it gave me:

"A= 2π(r+6)"

I'm pretty sure I'm supposed to do something else with that information but I wouldn't know where to start, I'm going to take a break from this and try again later because it's been stressing me out.

(this one I can verify if it's the right answer or not on the webpage!)

Any help is appreciated nonetheless!

The value of r in terms of other variables is expressed as \(r=\frac{-12\pm\sqrt{144\pi^2+8\piA} }{4\pi}\)

The subject of the formula is a way of representing a variable as a function of another variable.

Given the expression

A = 2πr²+12πr

We are to make r the subject of the formula

Subtract A from both sides

2πr²+12πr - A = A - A

2πr²+12πr - A = 0

Using the quadratic equation:

\(r=\frac{-b \pm\sqrt{b^2-4ac} }{2a}\) where:

a = 2π, b = 12π and c  = -A

Substitute into the formula

\(r=\frac{-12\pi\pm\sqrt{(12\pi)^2-4(2\pi)(-A)} }{2(2\pi)}\\r=\frac{-12\pm\sqrt{144\pi^2+8\piA} }{4\pi}\)

Hence the value of r in terms of other variables is expressed as \(r=\frac{-12\pm\sqrt{144\pi^2+8\piA} }{4\pi}\)

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Answer:

Weather- the state of the atmosphere at a place and time as regards heat, dryness, sunshine, wind, rain, etc.

Climate- the weather conditions prevailing in an area in general or over a long period.

Random variation- The tendency for the estimated magnitude of a parameter to deviate randomly from the true magnitude of that parameter. Random variation is independent of the effects of systematic biases.

Atmosphere- the envelope of gases surrounding the earth or another planet.

Prediction- a thing predicted; a forecast.

Step-by-step explanation:

Answer:

V = 0.8 in^3

Step-by-step explanation:

Formula:

V = πr^2(h/3)

C = 2πr

Given:

h=11.1

C = 17.6

C = 2πr

17.6 = 22πr

0.8/π = r

V = πr^2(h/3)

V = π(0.8/π)^2((11.1)/3)

V = π(0.0648455575)(3.7)

V = 0.8 in^3

Answer:

7 girls can go in the first place, 6 in the second, etc.

7! ways is the number of ways to arrange the girls.

likewise the boys can be arranged in 7! ways

The total number of ways becomes 7! * 7!

7! * 7! = 25,401 600 ways

Answer:

B. 0

Step-by-step explanation:

ax² + bx + 1 = 0

discriminant = b² - 4ac

4x² - 20x + 25

a = 4

b = -20

c = 25

b² - 4ac = (-20)² - 4(4)(25) = 400 - 400 = 0

Answer: B. 0