What is the perimeter of the parallelogram?

Answer:

y=x^2+6

Step-by-step explanation: Look at the vertex (0,6). We know the equation is quadratic so we know x^2. We know in the slope-interpect form equation the y-intercept is the term after the slope. The same applies in this equation. So that means the y intercept is 6 because y is 6 in the coordinate (0,6). We know the slope x^2. We need to plug that into the slope-intercept form equation.

The equation will be y=x^2+6.

Answer:

[tex]y = x^2 + 6[/tex]

Step-by-step explanation:

Vertex form for a parabola is [tex]y = a(x-h)^2 + k[/tex] where the vertex is [tex](h,k)[/tex]. Now for a vertex of (0,6), we can simply plug those values in for h and k: [tex]y = x^2 + 6[/tex].

Hope this helps!! :)

The two inequalities will be L>W-4 and (L x W) ≤ 32.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

It is given that:-

The length of the garden should be at least 4 ft shorter than the width

The distance around should be no more than 32 ft

The two inequalities will be as follows:-

a)The length of the garden should be at least 4 ft shorter than the width

L>W-4

b)The distance around should be no more than 32 ft

(L x W) ≤ 32.

Hence the two inequalities will be L>W-4 and (L x W) ≤ 32.

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These are functions inside another function. The resulting composite function is given as (5x+9)^2 + 3

These are functions inside another function. Given the following functions

m(x) = x^2 +3

n(x) = 5x +9

We are to solve for the function m(n(x))

m(n(x)) = m(5x+9)

Substitute 5x +9 into m(x) to have:

m(n(x)) = (5x+9)^2 + 3

Hence the resulting composite function is given as (5x+9)^2 + 3

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Answer:5

Step-by-step explanation:

Answer:

a) 9 ft.

Step-by-step explanation:

The  bath and the tent along with their shadows and the ground make 2 similar  triangles. So:

4/6 = 6/x

4x = 36

x = 9 ft.

The sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2

From the complete question, we have the following expressions:

(-x²+2x+3) and (-x²-2x-1)

Add both expressions

(-x²+2x+3) + (-x²-2x-1)

Expand

-x²+2x+3 -x²-2x-1

Collect the like terms

-x² -x² + 2x - 2x + 3 -1

Evaluate the like terms

-2x²+2

Hence, the sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2

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Answer:

24 because it is the middle number

Step-by-step explanation:

Answer: 25 in.

Step-by-step explanation:

A = bh

A = 5 x 5

A = 25

Answer:

to find volume of square pyramid use this formula

Step-by-step explanation:

[tex]volume = \frac{1}{3} a {}^{2} h[/tex]

Answer:

solution: (x,y)=(-2,8)

Step-by-step explanation:

1) 3x+3y=18

  2x+y=4

2) -x-y=-6

  2x+y=4

3) x=-2

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

5) y=8

6) (x,y)=(2,8)

and that is :D

The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

The sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:

V = 4/3πr³

where:

r is the radius of the sphere

For the outer sphere:

V = 4/3π(20)³

For the inner sphere:

V = 4/3π(4)³

The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

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Answer:

D

Step-by-step explanation:

Answer: 21599373.37618

Step-by-step explanation:

Answer:

It will become 64 times larger

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remove full rotations of [tex]2\pi[/tex]  until the angle is between 0 and [tex]2\pi[/tex].

[tex]cos(\frac{\pi }{3} )[/tex]

The exact value of [tex]cos(\frac{\pi }{3})[/tex] is [tex]\frac{1}{2}[/tex].

[tex]\frac{1}{2}[/tex]

The result can be shown in multiple forms.

Exact Form:

[tex]\frac{1}{2}[/tex]

Decimal Form:

[tex]0.5[/tex]

Vocabulary:

Rotation

A transformation in which a figure is rotated through a given angle, about a point.

Angle

The union of two rays with a common endpoint, called the vertex.

Answer: 3π in terms of pi or 9.42 if in π or pi= 3.14

Step-by-step explanation:

Answer:

The answer is -2/3

Step-by-step explanation:

Multiply by the reciprocal:

7/3 / 1/4 x 2

Simplify expression:

7/3 x 4/7 -2

Calculate:

1/3 x 4 -2

4/3 - 2

= -2/3

Answer:

D

Step-by-step explanation:

Given :

Solving :

Hence :

Answer:

D. [tex]\huge 2x^2y\sqrt[5]{7xy^3}[/tex]

Step-by-step explanation:

Considering it's vertex, the quadratic equation that could be represented on the plane is given as follows:

f(x) = (x - 8)² - 6.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Researching the problem on the internet, it is found that the given graph has vertex at (8,-6), hence h = 8, k = -6 and considering a = 1 the equation is given as follows:

f(x) = (x - 8)² - 6.

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Answer:

Step-by-step explanation:

45000 x %22 = 9900 per year

9900/12=825 per month

Answer:

Volume of the Earth is about 16.67 times bigger than Mercury's volume.

Step-by-step explanation:

Given:

[tex]V_E = 1 \times 10^{12} \text{ km}^3\\V_M = 6 \times 10^{10} \text{ km}^3[/tex]
[tex]V_E[/tex] is the volume of the Earth and [tex]V_M[/tex] is the volume of the Mercury.

Divide volume of the Earth with the volume of Mercury.

[tex]\frac{V_E}{V_M} = \frac{1 \times 10^{12} \text{ km}^3}{6 \times 10^{10} \text{ km}^3} = \frac{1 \times 10^{2}}{6} = \frac{100}{6} = \frac{50}{3} \approx 16.67[/tex]

Volume of the Earth is about 16.67 times bigger than Mercury's volume.

Answer:

See below ~

Step-by-step explanation:

Question 18

Question 19

#1

Length of diameter

Length of radius=10/2=5

#2

Solution set

Answer:

Angle H is 133

Step-by-step explanation:

(h-48)+95=180

solve it and you will get 133

Answer:

133°

Step-by-step explanation:

from the diagram,

(h- 48)° +95°= 180° ( angles on a straight line)

h-48+95 = 180°

h+47 = 180

collect like terms

h = 180-47= 133°

Answer:4.2

Step-by-step explanation:

14 times 70% subtracted from 4.2

The original price or cost price of a board game is 20.

The cost price is the price at which "goods are bought by merchant or retailer".

According to the question,

Joe paid 14.00 for a board game which is 70% of the original price or cost price.

In order to find cost price or original price. Let 'x' be the original price or cost price

70%  =  14

100% = x

x = [tex]\frac{1400}{70}[/tex]           [cross multiplication]

=20

Hence, the original price or cost price of a board game is 20.

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As all sides are equal it's equitorual hexagon

An inscribed hexagon is best fit for construction

Steps

Done ! We created

you can erase the circle later on

Answer:

Attachment 1

Take a compass and adjust it so that it is the width of line r.

Place the point of the compass on the left point of line r and draw a circle going through the right point of line r with radius r.

Attachment 2

Take a ruler, place it so it is against line r and extend the line r across the width of the circle (this is the diameter of the circle).

Attachment 3

Place the point of the compass on the right point of line r and draw a circle (blue circle).

Place the point of the compass on the left of the diameter and draw a circle (orange circle)

Attachment 4

The points of intersection of the 3 circles are the vertices of the hexagon.  

Attachment 5

Join the points of intersection with line segments - this is your hexagon with sides equal to r.

(If necessary, erase the circles to show the hexagon only.)

The linear regression equation that represents this data set is equal to y = 120.8x + 2,114.

First of all, we would determine the slope of the given data set by using this formula:

[tex]Slope = \frac{\sum (x-\bar x)(y-\bar y)}{\sum (x-\bar x)^2}[/tex]

For the sample mean (years), we have:

[tex]\bar x = \frac{0\;+\;1+\;2\;+\;3\;+4}{5} \\\\\bar x =\frac{15}{4} \\\\\bar x =3.75[/tex]

For the sample mean (cases), we have:

[tex]\bar y = \frac{904\;+\;900+\;833\;+\;837\;+754}{5} \\\\\bar y =\frac{4,228}{4} \\\\\bar y =1057[/tex]

The sums are given by:

∑(x - |x|) = (0 - 3.75) + (1 - 3.75) + (2 - 3.75) + (3 - 3.75) + (4 - 3.75)

∑(x - |x|) = - 3.75 - 2.75 - 1.75 - 0.75) + 0.25

∑(x - |x|) = -8.75.

∑(x - |x|)² = (-8.75)² = 76.5625.

∑(y - |y|) = (904 - 1057) + (900 - 1057) + (833 - 1057) + (837 - 1057) + (754 - 1057)

∑(y - |y|) = -153 - 157 - 224 - 220 - 303

∑(y - |y|) = -1,057‬.

∑(x - |x|)(y - |y|) = -8.75 × -1057

∑(x - |x|)(y - |y|) = 9,248.75.

Now, we can determine the slope:

Slope = 9,248.75/76.5625

Slope = 120.8‬.

Therefore, the equation is given by:

y = 120.8x + a

Next, we would find the value of a:

1057 = 120.8(-8.75) + a

a = 1057 + 1,057

a = 2,114.

Hence, the linear regression model is given by:

y = 120.8x + 2,114.

Since the new cases would reach 579, the calendar year would be calculated as follows:

579 = 120.8x + 2,114

120.8x = 579 - 2,114

120.8x = -1,535

x = -1,535/120.8

x = -12.71.

Year = 2014 + 12.71

Year = 2026.71 ≈ 2027.

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Answer:

Yes

Step-by-step explanation:

Natural numbers are positive integers such as 1, 2, 3, etc., (sometimes zero as well). As such, they are indeed whole numbers, so the statement is true.

Answer:

p - 14.5 = 53

Step-by-step explanation:

The original price is p.

The discounted price is $14.50 less than p, or $14.50 subtracted from p. The discounted price is p - 14.5.

The discounted price is $53

Equation:

p - 14.5 = 53

Based on the triangle inequality theorem, the possible length of the third side of the triangle is: 9 < x < 51

The triangle inequality theorem states if a and b are two sides of a triangle, the possible length of the third side would be: a + b < x < a - b.

Two given sides of the triangle are 30 ft and 21 ft. The possible length of the third side of the triangle would be:

30 - 21 < x < 30 + 21

9 < x < 51

Possible length of the third side would range between: 9 < x < 51

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