What is the distance between the points (4, 5) and (10, 13) on a coordinate plane?

A. 10 units
B. 14 units
C. 12 units
D. 8 units

Answer:

13

Step-by-step explanation:

70 - 5 = 65

125 - 8 = 117

Find the Greatest Common Divisor of 65 & 117

65 = 5 * 13

117 = 3 * 3 * 13

GCD = 13

13 is the largest number that divides 70 & 125 and leaves remainders 5 and 8 respectively

Answer:

x = 1; y = 6

Step-by-step explanation:

x + 2y = 13

-x + y = 5

Add the equations to eliminate x.

3y = 18

Divide both sides by 3.

y = 6

Now substitute y with 6 in the first equation.

x + 2(6) = 13

x + 12 = 13

Subtract 12 from both sides.

x = 1

Answer: x = 1; y = 6

Answer:

The answer is c

Step-by-step explanation:

(7,9) (3,25)

The solution sets of the given system of equations are (3,25) and (7,9).

Given equations are :

[tex]y=-x^{2} +6x+16[/tex]........(1)

[tex]y=-4x+37[/tex]...........(2)

An equation is a statement that equates to two expressions.

So, for the solutions of the  given system of equations

[tex]-x^{2} +6x+16=-4x+37[/tex]

[tex]x^{2} -10x+21=0[/tex]

[tex]x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0[/tex]

[tex](x-3)(x-7)=0[/tex]

So, [tex]x=3[/tex]

[tex]x=7[/tex]

Corresponding y value for x=3

[tex]y=-4*3+37\\y=25[/tex]

Corresponding y value for x=7

[tex]y=-4*7+37[/tex]

[tex]y=9[/tex]

Hence, the solution sets of the given system of equations are (3,25) and (7,9).

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Answer:

The dimensions are approximentaly 17.44.

Step-by-step explanation:

= x2 + 7x + 10

= 196 + 7x + 10

= 196 + 98 + 10

= 294 + 10

= 304 yards squared  

The dimensions of the garden if x= 14 will be approximately 17.44.

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = [tex]side^{2}[/tex]

The area of a garden= (x² + 7x + 10)

= 196 + 7(14) + 10

= 196 + 98 + 10

= 294 + 10

The area of a garden= 304 yards squared  

The area of a garden = side × side

                  √ 304 = side

                     side = 17.44 yards

Thus, the dimensions of the garden if x= 14 will be 17.44 yards.

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Answer:

90 blue ribbons

Step-by-step explanation:

Answer:

Probability = 0.356

Step-by-step explanation:

Probability of flooding = 25/100

= 0.25 lets call it p

So probability of not flooding = 1-0.25= 0.75. Lets call it q

So to find the probability of flooding in 1 out of 6 we use combination.

Probabilty = 6C1p^1q^5

Probabilty= 6 *0.25^1 *0.75^5

Probability = 0.356

Answer:

Triple

Step-by-step explanation:

V = π * r^2 *h

h is directly proportional to V so when h increases V increases.

This is a linear relationship so if h is tripled the volume will be tripled as well.

if r tripled then V would be 9 times as large since r has a square relationship with V.

If you're unsure about these just plug in number r= 2, h= 4, and perform the operation they ask you to do (triple or double) and you'll always get it right.

Step-by-step explanation:

Here is the work in the middle there would be 2 because the have neither brother or sister

Answer:

2

Step-by-step explanation:

Answer:

x^2-15+26

Step-by-step explanation:

(x-13)(x-2)=x^2-2x-13x+26=x^2-15+26

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Answer:

cost of the pool per cubic meters = $5

Step-by-step explanation:

The rectangular pool has a dimension of 30 m by 20 m by 2 m. To know the cost of the pool per cubic meter we have to calculate the volume of the pool . Then divide the total cost of the pool by it volume.

volume of the rectangular pool = length × height × width

volume of the rectangular pool = 30 × 20 × 2

volume of the rectangular pool = 1200  m²

The cost of installation is $6000 . The volume of the pool is 1200 cubic meters.

cost per cubic meters = total cost of installation/volume

cost per cubic meters = 6000/1200

cost of the pool per cubic meters = $5

Answer:

x=3

Step-by-step explanation:

- 3 on both sides

2x=6

divide by 2 on both sides

x=3

Answer:

x = 3

Step-by-step explanation:

[tex]2x+3=9[/tex]

Subtract 3.

[tex]2x=9-3\\2x=6[/tex]

Divide by 2.

[tex]x=\frac{6}{2}\\ x=3[/tex]

Answer:

8ft. x 16ft.

Step-by-step explanation:

If each inch is scaled to 2 ft, then you simply multiply the values by two. The new scaled dimensions would be 8 x 16 ft. Hope this helps.

Answer:

432

Step-by-step explanation:

To get volume you need to multiply all of the numbers together (Length, height, and width). You need to multiply 6 and 6 (You get 36) and multply the answer by 12 to get 432.

Hope this helps!

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Answer: [tex]17.68cm[/tex]

Step-by-step explanation:

Using the area formula of a cone, find the height first.

[tex]A=\pi r(r+\sqrt{h^2+r^2})[/tex]

Solve for h,

Begin by dividing by [tex]\pi r[/tex]

[tex]\frac{A}{\pi r}=r+\sqrt{h^2+r^2}[/tex]

Subtract r.

[tex]\frac{A}{\pi r}-r=\sqrt{h^2+r^2}[/tex]

Square both sides.

[tex](\frac{A}{\pi r}-r)^2=(\sqrt{h^2+r^2})^2[/tex]

[tex](\frac{A}{\pi r}-r)^2=h^2+r^2[/tex]

Subtract [tex]r^2[/tex]

[tex](\frac{A}{\pi r}-r)^2-r^2=h^2[/tex]

Extract the square root.

[tex]\sqrt{(\frac{A}{\pi r}-r)^2-r^2 } =\sqrt{h^2}[/tex]

[tex]\sqrt{(\frac{A}{\pi r}-r)^2-r^2 } =h[/tex]

Plug in your values.

[tex]\sqrt{[\frac{670cm^2}{(3.14)(8cm)}-(8cm)]^2-(8cm)^2 } =h[/tex]

Solve;

[tex]\sqrt{[\frac{670cm^2}{25.12cm}-(8cm)]^2-(8cm)^2 } =h[/tex]

[tex]\sqrt{[26.67cm-(8cm)]^2-(8cm)^2 } =h[/tex]

[tex]\sqrt{(18.67cm)^2-(8cm)^2 } =h[/tex]

[tex]\sqrt{348.57cm^2-64cm^2}=h[/tex]

[tex]\sqrt{284.57cm^2}=h[/tex]

[tex]15.77cm=h[/tex]

------------------------------------------------------------------

Now, to find the slant height use this formula: [tex]l=\sqrt{h^2+r^2}[/tex]

[tex]l=\sqrt{(15.77cm)^2+(8cm)^2}\\l=\sqrt{248.69cm^2+64cm^2}\\ l=\sqrt{312.69cm^2}\\ l=17.68cm[/tex]

We will review each option and see that it corresponds:

-Volume is labeled with cubic units.

True, the units of volume are cubic, since it is distance to the cube.

-Surface area is labeled with cubic units.

False, the units of the area are square, since it is distance squared

-Volume of a prism is the product of the area of the base and height.

True, depending on the base, the volume of the prism is determined, therefore it would be the area of the base by the height.

-Surface area is the sum of the areas of each side.

True, the surface area corresponds to the sum of the lateral areas and the area of the base, that is, the area of each side.

-The volume of a prism is One-third the volume of a pyramid.

False, on the contrary, the volume of a pyramid is one third of the volume of a prism

Answer:

A

C

D

Step-by-step explanation:

Hope you guys have a good day!

One of these pics are proof and the other is to just make you smile :)

Answer:

224ft^3

Step-by-step explanation:

l*w*h= volume

Answer:

The Volume is 224

Step-by-step explanation:

w * h * l

Answer:

area - 120 cm

Step-by-step explanation:

Answer:

A = 120 cm^2

P = 54 cm

Step-by-step explanation:

Area of parallelogram: = base * height

A = 15 cm * 8 cm = 120 cm^2

Perimeter of parallelogram = sum of lengths of sides

P = 15 cm + 15 cm + 12 cm + 12 cm = 54 cm

Answer:

75-52.5 =x

Step-by-step explanation:

We know that the total amount they eat is 75

They eat 52.5 is acacia leaves.  The rest is other types of leaves

75 - 52.5 = other types of leaves

75-52.5 =x

Answer:

D

Step-by-step explanation:

-4 x 3/2 = -12/2; which equals -6

so -6x.

-4 x -1/2 = 4/2; which equals 2

This means that:

-6x + 2 = 15; so 'D' is the answer

Answer:

D

Step-by-step explanation:

The distributive property states that a(b+c)=ab+ac. In this problem -4 is a, 3/2x is b, and -1/2 is c. -4(3/2) is 6, and -4(-1/2) is 2. So we have -6x+2=-15.

Answer:

idk i have the same question

Step-by-step explanation:

Answer:

D. 125 cm³

Step-by-step explanation:

Volume is how much space an object takes up.

The volume of a cube is denoted by: V = s³, where s is the side length of the cube. Here, we see that s = 5, so plug this into the formula:

V = s³

V = 5³ = 5 * 5 * 5 = 125

The answer is thus D.

Answer:

[tex]125 {cm}^{3} [/tex]

Step-by-step explanation:

[tex]volume = b \times h \times l \\ = 5 \times 5 \times 5 \\ = 125 {cm}^{3} [/tex]

hope this helps

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good luck! have a nice day!

Answer:

$11.49

Step-by-step explanation:

Answer:

$11.49

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

20/60 = 1/3

60 mins in the hour;

20 missed;

20/60 probability of friend calling in the missed 20 mins.

2/13+2/13+2/13

= 6/13

Step-by-step explanation:

The probability that she chooses an outfit consisting of the flat heel or spike heel shoes, the twill or the denim pants, and the white or black shirt is given by P ( A ) = 22.22 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Jackie has a choice of 3 pairs of shoes, 3 pants, and 4 shirts that can make an outfit for today.

Each pair of shoes has a different heel height, each pair of pants is made from a different fabric, and each shirt is a different color.

So , There are a total of 3 x 3 x 4 = 36 possible outfits.

The number of outfits with the specified choices is:

2 (choices of shoes) x 2 (choices of pants) x 2 (choices of shirts) = 8

Therefore, the probability that Jackie chooses an outfit consisting of the specified choices is:

8 / 36 = 2 / 9 ≈ 0.2222 or about 22.22%

Hence , the probability is P ( A ) = 22.22 %

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Answer:

graph b because its a parabola

Step-by-step explanation:

Answer:

Graph B does not belong

Step-by-step explanation:

All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic

Answer:

Quiz 4 = 72

oldest = 75

Step-by-step explanation:

The range is the largest minus the smallest

27 = 99 - smallest

99-27 = smallest

72 = smallest

Quiz 4 = 72

The range is the largest minus the smallest

35 = largest - 40

Add 40 to each side

35+40 = largest

75= largest

oldest = 75

Answer:

23

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Step-by-step explanation:

Vertical stretch or shrink

[tex]y=c \cdot f(x)[/tex]

a stretch by a factor of c if  c>1

a shrink by a factor of c if c<1

c is the factor

We are given that factor = 1/6 <1

So, Vertical shrink

So, [tex]y = \frac{1}{6} \cdot f(x)[/tex]

We are given that [tex]f(x) = (x + 1)^2[/tex]

So,[tex]y=\frac{1}{6}(x+1)^2[/tex]

Option D is true

Hence [tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Answer:

ƒ(x) = (1∕6x + 1)^2

Step-by-step explanation:

Answer:

The answer would be pupil

Step-by-step explanation:

Pupils tend to become bigger (dilate) in low-light situations. This allows more light into the eyes, making it easier to see, I looked it up to make sure. Pupil is the right answer.