If JK = 20, KL = x + 9, and JL = 6x + 9, what is KL?

Answer:

(f.g)(x) = (f×g)(x)

= (x² + 4x - 6) × ( x + 2)

= x^3 + 2x^2 + 4x^2 + 8x - 6x - 12

= x^3 + 6x^2 + 2x -12

The measure of DE is triangle ABE is similar to ACD is 9units

For triangles to be similar, the ratio of their sides must be equal to the constant called he scale factor.

From the given diagram;

AB/AE = AC/AD
20/15 = 32/15 + DE

Solve for DE
4/3 = 32/15+DE
4(15+DE) = 3(32)
15+DE = 3(8)
DE = 24 - 15
DE = 9

Hence the measure of DE is triangle ABE is similar to ACD is 9units

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Answer:

2.75

Step-by-step explanation:

Answer:

1960 π

Step-by-step explanation:

If R is the outer radius and r the inner radius of a hollow cylinder of height h, then volume of cylinder = π (R² - r²)h

Here R = 18/2 = 9

and r= 10/2 =5

Volume = π (9² - 5²) . 35 =  π x 56 x 35 = 1960 π

Answer:

you would have to very good at not blinking to but if your not I suggest not to because it will hurt also why not try to test it out ;)

Step-by-step explanation:

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[tex]\large \sf \underline{Problem:}[/tex]

The person is lifting a heavy box using a lever what is the purpose of the lever in the situation?

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[tex]\large \sf \underline{Answer:}[/tex]

to reduce the force needed to lift the box and change the direction of the force.

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[tex]\large \sf \underline{Explanation:}[/tex]

1. "A lever consists of a rigid bar that is able to pivot at one point. This point of rotation is known as the fulcrum. A force is applied at some point away from the fulcrum (typically called the effort)."

By this definition, we know that force is needed to lift an object using a lever.

2. "When the input and output forces are on opposite sides of the fulcrum, the lever changes the direction of the applied force. This occurs only with first-class levers. When both the input and output forces are on the same side of the fulcrum, the direction of the applied force does not change"

For example, on a sew saw, if a force is applied on one end, you on the other side/end would go up, meaning a change in direction.

3. Lastly, we know a lever is typically used to reduce work, in other words, the force needed to move something.

Basically, if we were to put a lever into an equation:

reduced force + change in direction = lever

(the expection) unless load and force are on the same side, there will be no change in direction.

For example, if you and your friend sit on the same side of a sew saw, the sew saw would not go up or down, meaning no change in direction.

So if not stated otherwise you can assume the load and force are on opposite sides. The purpose of a lever in that situation would be to reduce the force needed to lift the box and change the direction of the force.

*While reading my explanation, it may be helpful to look up a diagram containing a lever, with a load, fulcrum, and applied force.

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[tex]╰┈➤\: \huge\color{pink}{\bold{Explanation}}[/tex]

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Answer:

  125 meters

Step-by-step explanation:

The ball will hit the ground when its height is zero. Use that value for h in the equation, and solve for d.

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  h(d) = -d²/125 +d . . . . the given equation

  0 = d(-d/125 +1) . . . . . use h=0, and factor out d

This equation is satisfied by values of d that make the factors zero:

  d = 0   ⇒   d = 0

  -d/125 +1 = 0   ⇒   d = 125

The horizontal distance to the landing point is 125 meters.

Step-by-step explanation:

45 and 22 multiplied would be your answer

Answer:

1) B. (6,-3)

2) D. (-8,-2)

Answer:

Where's the picture?

Step-by-step explanation:

Please provide a picture

The option (A) 63 inches to 81 inches is correct after using the empirical Rule.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have:

The mean height of the population is 72 inches and the standard deviation is 3 inches, 99.7% of the population will have a height

99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean.

The lower range = 72 – 3(3) = 63 inches

The upper range = 72 + 3(3) = 81 inches

Thus, the option (A) 63 inches to 81 inches is correct after using the empirical Rule.

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Using it's concept, it is found that the domain of the function graphed below is given by:

[tex](-2,4][/tex] and [tex][7, \infty)[/tex].

It is the set that contains all possible input values for the function. In a graph, it is given by the values of x.

In this problem, x assumes values greater than -2 and less or equal than 4, and then values of 7 or greater, hence the domain is given by:

[tex](-2,4][/tex] and [tex][7, \infty)[/tex].

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a. To solve for the greatest common factor (GCF), we can determine the prime factors of 6, which is 2 and 3. Then for the other number, we can do the exact same thing. The prime factors of 8 are 1, 2, and 4. When matching the all the prime factors together, we notice that 2 is in both the prime factors.

This means that the GCF of 6 and 8 is 2.

b. To factor the GCF of 6 and 8, we can use the prime factors of both 6 and 8. That means:

6 + 8 = 2 × (3 + 4).

14 = 14

Answer:

1/2 × 6 × 6

Step-by-step explanation:

the triangle takes up half of the square

the area of a square = side length²

side length = 6

so area of square = 6² = 6 × 6

because the triangle takes up half of the square

the area of the shaded triangle would = 1/2 × 6 × 6

Answer:

30240

Step-by-step explanation:

3x7x36x40 I hope this helps

Answer:

  A.  Consecutive sides have opposite reciprocal slopes

Step-by-step explanation:

A rectangle is a special case of parallelogram, in which the diagonals bisect each other and are the same length, and all angles are right angles. In order to prove a quadrilateral is a rectangle, it can be shown to be a parallelogram, but one or the other of these additional characteristics must be proven.

__

A. Consecutive sides have opposite reciprocal slopes

Sides with opposite reciprocal slopes will be perpendicular. That is, the angle between them will be a right angle. If all pairs of consecutive sides meet at right angles, the figure must be a rectangle.

B. All sides are congruent

A rhombus is a quadrilateral in which all sides are congruent. It will only be a rectangle if the diagonals are the same length, or, equivalently, adjacent sides meet at right angles.

C. Opposite sides are parallel

A parallelogram will have opposite sides parallel. It will only be a rectangle if the diagonals are the same length, and/or adjacent sides meet at right angles.

D. Consecutive sides are congruent, opposite sides are not.

This seems a contradiction, as opposite sides are consecutive to the same side. (For example, sides AB and CD are both consecutive to side BC.) If we take this to mean that there are two pairs of consecutive congruent sides, then the figure may be a kite, but isn't necessarily a rectangle unless the other conditions are met.

_____

Additional comment

If sides are horizontal and vertical, the slope of the vertical sides is "undefined." It cannot be shown to be the opposite reciprocal of the slope of the horizontal sides.

Answer:

slope = 2.25

Step-by-step explanation:

This equation is written in slope-intercept form, which has the general structure: y = mx + b.

In this form, "m" = slope and "b" = y-intercept.

Therefore, the slope is 2.25 since it is replacing the "m" variable.

Answer:

2249999.99524

Step-by-step explanation:

The answer would be 2249999.99524

Or just 224999

Sorry for the last answer!

Step-by-step explanation:

6x+1≤4x−9

6x-4x≤-9-1

2x≤-10

inequality changes when divided or multiplied with negative

Answer:

Unfortunately they are not simmilar because 9 is not similar to 80 but to 90, they would be similar if the triangle was 40, 70 and 90, know what I mean?

Step-by-step explanation:

Answer:

B. AA similarity postulate

Answer:

.0022

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

infinite numbers

pi

square root of 80

^all irrational

Answer:

16x^(4)-y^(4)

Step-by-step explanation:

Answer:

I dont see a correct answer but
D= 58t