Q is the midpoint PR.If PQ =2x and QR= x+8.What is PQ?

Answer:

4 1/4 × 3 × 1 1/4

Step-by-step explanation:

To find volume you need to do length×width×height

The expression which can be used to find the volume of the rectangular prism is, Volume = l × w × h

If a three dimensional prism has 6 rectangular faces such that all 3 pair of opposite faces are congruent.

The three dimensions of a rectangular prism are length, width and height.

Let, length of rectangular prism = l unit

Width of rectangular prism = w unit

And the height of rectangular prism = h unit

Then, Volume of rectangular prism = Length × Width × Height

                                                           = l × w × h  cubic unit

Learn more about rectangular prism here :

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Answer:

-40

Step-by-step explanation:

Try rearranging and factoring -8y-2c-2b-8x-2a:

This is equal to -8(x + y) -2(a + b + c).

Since x + y = 7, we have:

                            -8(7) -2(a + b + c)

and since a + b + c = 8, we end up with:

                             -56 - 2(8), or

                               -56 - 16    = -40

In the function y= -1/2(x-1)^2+3, the negative sign inverts the graph so that it opens downwards unlike y=x^2 that opens upwards. This is due to the negative slope which implies a descent in the graph when moving left to right, showing a negative correlation between x and y.

In the function y= -1/2(x-1)^2+3, the negative sign in front of the fraction plays a vital role in the graph's orientation. Unlike the graph of y=x^2 which opens upwards, the negative sign causes the graph of the given function to open downwards. This occurs because the negative sign affects the slope of the function. Graphically, a negative slope means that as we move from left to right along the graph, it descends; showing a negative correlation between x and y. Thus in the concoction of a graph, when x increases, y decreases, or when x decreases, y increases. This is a fundamental rule in graphing quadratic functions.

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The negative sign in the function [tex]y = -1/2(x-1)^2+3[/tex]inverts the graph compared to[tex]y = x^2[/tex], making the parabola open downwards and indicating a negative relationship between the x and y values.

The negative sign in the function [tex]y = -1/2(x-1)^2+3[/tex] in comparison to the function [tex]y = x^2[/tex]inverts the graph of the parabola. While the graph of[tex]y = x^2[/tex]opens upwards, the negative coefficient causes the graph of the given function to open downwards. This means that instead of the parabola having a minimum point which occurs in [tex]y = x^2[/tex], the parabola will have a maximum point at the vertex (1, 3). As the x-value increases or decreases from the vertex, the y-value will decrease due to the negative sign, indicating that the two variables are negatively related. The general shape of the graph remains a parabola, but it is flipped vertically over the x-axis.

Answer:

Correct Answer: B

Step-by-step explanation:

Answer: -2x²-11x-35

Step-by-step explanation:

-2(p+4)²-3+5p

-2(x²+8x+16)-3+5x

-2x²-11x-35

To simplify the expression -2(p+4)^2-3+5p, it's important to distribute, multiply, and combine like terms. The simplified expression is -2p^2 -11p -35.

To simplify the expression -2(p+4)^2-3+5p, it's easier to break it down step by step:

This is the simplest form of the original expression.

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The true statement is the side lengths will form a triangle because 6+7>4. So option (d) is correct.

To determine if the given side lengths can form a triangle, we need to apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's denote the side lengths as follows:

a = 4  meters

b = 6  meters

c = 7  meters

We'll check each possible combination:

1. \( a + b > c \): \( 4 + 6 > 7 \) (True)

2. \( a + c > b \): \( 4 + 7 > 6 \) (True)

3. \( b + c > a \): \( 6 + 7 > 4 \) (True)

Since all three conditions are true, the given side lengths (4, 6, 7 meters) can indeed form a triangle.

Thus, the correct option is D. The side lengths will form a triangle because 6 + 7 > 4.

Complete Question:

A triangular garden is being formed with stones. The three sides measure 4 meters by 6 meters by 7 meters. Which of the following is a true statement about the side lengths of the triangle?

A. The side lengths will not form a triangle because 6+4>7.

B. The side lengths will form a triangle because 4+6<7.

C. The side lengths will not form a triangle because 7+4<6.

D. The side lengths will form a triangle because 6+7>4.

Answer: 132%

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formual fo ana area of a triangle:

[tex]A=\dfrac{bh}{2}[/tex]

b - base

h - height

We have A = 50 cm² and h = 2b. Substitute:

[tex]\dfrac{(b)(2b)}{2}=50\\\\b^2=50\to b=\sqrt{50}\ m\to b\approx7.1\ m\\\\h=2b\to h=2(7.1)=14.2\ m[/tex]

To find the height and base of the triangle with an area of [tex]50 m^2[/tex]and the height being twice the base, we use the area formula[tex]A = (base imes height) / 2,[/tex] solve for the base, and double it to find the height. The base is approximately 7.1 m, and the height is approximately 14.1 m.

The question seeks the height and base of a triangle whose area is 50 [tex]m^{2}[/tex] and the height is twice the length of its base. The area of a triangle can be calculated using the formula A = [tex](base imes height) / 2.[/tex] Since the height is twice the base, we can say the height is 2b, where b is the base.

Plugging into the formula for the area of a triangle, we get:

Area, A = 50 m2

[tex]A = (b imes 2b) / 2[/tex]

50 = b2

b = \/50

b \/= 7.1 m (to the nearest tenth)

[tex]Height (h) = 2 imes b = 2 imes 7.1 m[/tex]

h = 14.1 m (to the nearest tenth)

Therefore, the base of the triangle is approximately 7.1 m and the height is approximately 14.1 m.

Answer:

This is a relation not a function

Step-by-step explanation:

This is not a function

The input x=-2 goes to both the output 2 and -2

Each input can only go to one output to be a function

Answer:

B and C

Step-by-step explanation:

Use the Pythagorean Theorem a^2+b^2=c^2.

We can see in B that 8^2 is 64 and 15^2 is 225 which adds to 17^2 which is 289.

In C, the sqrt of 2 squared is just 2 and adding that by another sqrt 2^2 results in 4 which is also the value of 2^2.

Answer:(use the Pythagorean formula)

Step-by-step explanation:

Find the two smaller sides. Square each one them add them together. Then square the third side (the biggest side). If your two answers match, it's a right triangle!

Make sure that you don't make the mistake of adding the two smaller sides together before squaring.

Answer: 5/4, or 1.25

Step-by-step explanation:

To solve, get a variable on one side. First, add 5 on both sides.

g(x) = 4x-5+5

Next, divide by four.

5/4 = 4x/4

Now, solve.

5/4, or 1.25 = x

Answer: B 312

Step-by-step explanation:i did this before in k12 yep its 312

hope this helps

The answer is D 30 .85x30=25.5

Answer:

D

Step-by-step explanation:

Answer is D

Answer:

The bottom left

Step-by-step explanation:

As one variable increases so does the other and it goes through the origin.

Answer:  104°

Step-by-step explanation:

Since ∠JKL and ∠LKM are supplementary, then their sum is 180°.

∠JKL + ∠LKM = 180

2x + 4 + x + 26 = 180

            3x + 30 = 180

            3x         = 150

              x         =  50

∠JKL = 2x + 4

        = 2(50) + 4

        = 100 + 4

        = 104

Answer:

K=31

Step-by-step explanation:

17=(-14)+K

We want to isolate k

Add 14 to each side

17+14=(-14)+14+K

31 = K

Answer:

k=31

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

80+69+78+73+75+63= 438

438/6 = 73

Hope this helps you! :)

Answer:

The area of the polygon is [tex]116\ units^{2}[/tex]

Step-by-step explanation:

we know that

The area of the polygon is equal to the area of the triangle ADE plus the area of triangle ACD plus the area of triangle ABC

step 1

Find the area of triangle ADE

The area is equal to

[tex]A=\frac{1}{2}(AD)(EG)[/tex]

substitute the values

[tex]A=\frac{1}{2}(16)(3)=24\ units^{2}[/tex]

step 2

Find the area of triangle ACD

The area is equal to

[tex]A=\frac{1}{2}(AD)(CH)[/tex]

substitute the values

[tex]A=\frac{1}{2}(16)(7)=56\ units^{2}[/tex]

step 3

Find the area of triangle ABC

The area is equal to

[tex]A=\frac{1}{2}(AC)(BF)[/tex]

substitute the values

[tex]A=\frac{1}{2}(12)(6)=36\ units^{2}[/tex]

step 4

Find the area of the polygon

[tex]A=24\ units^{2}+56\ units^{2}+36\ units^{2}=116\ units^{2}[/tex]

Answer:

44=y

Step-by-step explanation:

27+x=y

We know x = 17, so we can substitute x=17 into the equation

27 + 17 = y

44=y

Answer:

[tex]y=44[/tex]

Step-by-step explanation:

Substitute 17 for x in the equation since [tex]x=17[/tex]

[tex]27+(17)=y[/tex]

[tex]44=y[/tex]

Answer:

24-q

Step by Step Explanation :

24 decreased by q is basically saying 24 minus q which is 24-q

Answer:

12.56

Step-by-step explanation:

C= 2 x 3.14 x 2

(the other 2 is half of the circumference)

To find the circumference of a round hut floor with a diameter of 4 meters, use the formula Circumference = π x Diameter, resulting in 12.56 meters.

The circumference of a round hut with a floor diameter of 4 meters can be calculated using the formula Circumference = π x Diameter.

it looks like somebody else is already answering this for you, but if you are in need of an answer for a question like this fast just go to desmos.com and input your function it will show you what the graph will look like

Answer:

v = -2.5

Step-by-step explanation:

9(9-2v) = -12(v-8)

81−18v= −12v+96

So move -18v to the other side and change the sign. Same to 96.

81-96 = -12v + 18v

-15 = 6v

v = -2.5

Answer:

Yes different signs leads to a negative product.

Step-by-step explanation:

So I don't know if this was helpful, but I hope you find it very helpful!

Answer:

[tex]\$25.60[/tex]

Step-by-step explanation:

step 1

Find the volume of the container

The volume is equal to

[tex]V=8^{3}=512\ cm^{3}[/tex]

step 2

Find the volume of the crystal cube

The volume is equal to

[tex]V=1^{3}=1\ cm^{3}[/tex]

step 3

Find the total number of crystal cubes in the container

Divide the volume of the container by the volume of the crystal cube

so

[tex]512/1=512\ crystal\ cubes[/tex]

step 4

Find the cost

Multiply the number of crystal cubes by $0.05

[tex]512*0.05=\$25.60[/tex]

Answer:

Step-by-step explanation:

The perimeter of the given figure is equal to the circumference of whole circle.

The formula of a circumference of a circle:

[tex]C=\pi d[/tex]

d - diameter

We have d = 70 cm. Substitute:

[tex]C=70\pi\ cm[/tex]

The area of given figure is equal to the area of rectangle 70cm × 35cm.

(look at the picture).

The area of a rectangle:

[tex]A=(70)(35)=2,450\ cm^2[/tex]

The area of a circle is given by the formula A = πr², where π represents pi, and r the radius. The area can be left in terms of pi to avoid rounding errors, with the example of a circle with 1.2-meter radius having an area of approximately 4.5 m² when considering significant figures.

The area of a circle is expressed as A = πr², where π (pi) is approximately 3.14159265, and r is the radius of the circle. In terms of pi, this formula is often left in the form of πr² to retain the exact value without rounding. For example, if we have a circle with a radius of 1.2 meters, the area would be calculated as A = π(1.2 m)² = 4.5238934 m² using a calculator with eight-digit precision. However, since the radius is given with two significant figures, the appropriate representation of the area would be A=4.5 m².

It is important to note that when expressing the area in terms of pi, you may encounter different contexts such as finding the area of a semicircle using the definite integral that results in r²/2 for the semicircle's area, or understanding proportionalities in a circle divided into slices.

Answer:

A - 0.6 repeating

Step-by-step explanation:

An irrational number cannot be written as a fraction - it is a number without end (like a repeating number)

The answer is -3, let me know if you want me to give you the steps

The answer would be -3

Answer:

See attached picture

Step-by-step explanation:

This is a linear equation. To graph it, use the model y = mx + b where m is the slope and b is the y-intercept. Here m = 2 and b = 4. Start at the point (0,4) on the y-axis. Mark this point because it is the y-intercept. Then move up 2 units and over 1 to the point (1, 6). Mark this point. And connect. This is the correct graph. See attached picture.