Graph the lines for the two sets of linear
data. Find the intersection of the lines.
5.
х y х у
-2 0 -2 -1.5
0 1
-3.5
2 2 2 -5.5
4 3 4 -7.5

Answer:

100 + 50m = 250

50m = 250 - 100

50m/50 = 150/50

m = 3

Alyson will have to save for 3 months to have a total of $250.

Answer:

The answer is 120 feet.

Step-by-step explanation:

The area of the field (A) is:

A = w · l       (w - width, l - length)

It is known:

A = 12,000 ft²

l = w - 20

So, let's replace this in the formula for the area of the field:

12,000 = w · (w - 20)

12,000 = w² - 20

⇒ w² - 20w - 12,000 = 0

This is quadratic equation. Based on the quadratic formula:

ax² + bx + c = 0      ⇒  

In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000

Thus:

So, width w can be either

or

Since, the width cannot be a negative number, the width of the field is 120 feet.

The length of the field is 120 feet.

Option C is the correct answer.

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

Let's start by using the given information to set up two equations:

Let x be the length of the field in feet.

Then, the width of the field is x - 20 feet.

The area of the field is given as 12,000 square feet:

x (x - 20) = 12,000

Expanding the left side of the equation, we get:

x² - 20x = 12,000

Bringing all the terms to one side, we get:

x² - 20x - 12,000 = 0

Now, we can solve this quadratic equation using factoring,

Completing the square, or the quadratic formula.

Here, we will use factoring:

x² - 20x - 12,000 = 0

(x - 120) (x + 100) = 0

The solutions are x = 120 and x = -100, but a negative length doesn't make sense, so we reject that solution.

Therefore,

The length of the field is 120 feet.

To check, we can substitute x = 120 into the equation for the width:

Width = x - 20 = 100 feet

Area = Length x Width

= 120 ft x 100 ft

= 12,000 sq ft

Thus,

The length of the field is 120 feet.

Learn more about rectangles here:

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Answer:

not a right triangle

Step-by-step explanation:

The Pythagorean Theorem states that If a triangle is a right triangle,

the hypotenuse^2 will equal to shorter^2 + longer^2

hypotenuse = 18, shorter side = 4, longer side = 17

18^2 = 4^2 + 17^2

324 = 16 + 289

324 = 305

That is false, therefore the triangle is not a right triangle

Answer:

<

Step-by-step explanation:

Answer:

68°

Step-by-step explanation:

We can find this by remembering that tangents meet a circle at a ninety degree angle with the diameter or a radius that touches the point of intersection. By understanding that because these two tangents intersect at a point outside the circle there angle measure is the same so we can use the 180° total in a triangle to find the remaining degrees to be divided into the two measures we need to find. Because 180 - 48 equals 132 we divide this by 2 to get our angle measure of 68 degrees.

Answer:

92 m

Step-by-step explanation:

Use the Pythagorean theorem to find the length of the shorter side.

Let w = length of the shorter side.

[tex]w^{2} + 30^{2} = 34^{2} \\ w^{2} + 900 = 1156\\w^{2} = 256\\w = \sqrt{256} = 16[/tex]

The perimeter is 2l + 2w = 2(30) + 2(16) = 60 + 32 = 92 m

Given:

AB= 20, BV=12, VA=14 and SR is a mid segment.

To find:

The lengths of SR and AR.

Solution:

SR is a mid segment. So, SR is parallel to the non-included side BV and the length of SR is half of BV.

[tex]SR=\dfrac{1}{2}BV[/tex]

[tex]SR=\dfrac{1}{2}(12)[/tex]

[tex]SR=6[/tex]

SR is a mid segment. So, it divides the included sides in two equal parts. It means R is the midpoint of VA.

[tex]AR=\dfrac{1}{2}VA[/tex]

[tex]AR=\dfrac{1}{2}(14)[/tex]

[tex]AR=7[/tex]

Therefore, the measure of SR is 6 units and the measure of AR is 7 units.

Answer:

x-8=37

37+8=x

45=x

45 is your answer

Step-by-step explanation:

Step-by-step explanation:

A. 4 x 3/5 = 4/4 x 3/5 = 12/20

B. 4x4 x 1/5 = 12/5

C. 12 + 1/5 = 4 x 3 x 1/5 = 12/5

D. 4 x 5/3 = 4 x 5 x 1/3 = 20/3​

A ≈ 473.63

Step-by-step explanation: To find the surface area for a pyramid, we can use this formula: [tex]A=lw+l\sqrt{(\frac{w}{2})^2 } +h^2+w\sqrt{(\frac{l}{y} } )^2+h^2[/tex]

Solution: [tex]10\times10+10\times\sqrt{(\frac{10}{2} } )^2+18^2+10\times\sqrt{(\frac{10}{2} } )^2+18^2=423.63[/tex]

Let me know if you have any questions.

~ Lily, from Brainly.

Answer:

5(x)+2(y)=3.45

7(x)+3(y)=4.90

Answer:

128 square feet

Step-by-step explanation:

Horizontal Gray parts:

12 - 8 = 4 ÷ 2 = 2

2 * 24 = 48 * 2 = 96

Vertical gray parts:

24 - 20 = 4 ÷ 2 = 2

2 * 8 = 16 * 2 = 32

All together:

96 + 32 = 128 square feet

Answer:

1308

____________

The correct answer is 1308.

Answer:

2n + 37.

Step-by-step explanation:

an = a1 + d(n - 1)

Here a1 = 39 and d = 2

an = 39 + 2(n - 1)

= 39 + 2n - 2

= 2n + 37.

Answer:

CD = 45

Step-by-step explanation:

CE = 180

( x + 6 ) + ( 4x - 21 ) = 180

5x - 15 = 180

5x = 195

x = 39

substitute x in CD

CD = x + 6

CD = 39 + 6

CD = 45

Answer:

x=0.75645 in radians

x=43.34175 in degrees

Step-by-step explanation:

cos(x)=8/11

Answer:

approximately 46.66

Step-by-step explanation:

label the following sides as 11=h and 8=o.

circle the missing angle x

remember SohCahToa

since you have h and o that means you are using (sin) on your calculator and since the angle is missing you do the inverse of sin multiplied by (8/11)

Answer: 5040

Step-by-step explanation: There are 4 sides which is equal to 1260, 1260 x 4 = 5040

Answer: The answer is 31.25 because The mean of 16 items was found to be 30. So once you checked, it was that 2 items were wrongly taken as 22 and 18 instead of 32 and 28 respectively. Sum = mean  no of items = 30  16 = 480

(32 +28) – (22 + 18) = 20

Correct mean =  = 31.25

Step-by-step explanation: My apologize that I took long I hope this helps.

Answer:

x = 25

Step-by-step explanation:

A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

3x + 21y = 180°.....(1)

2x + 26y = 180°.....(2)

From equations (1) & (2)

3x + 21 y = 2x + 26y

3x - 2y = 26y - 21y

x = 5y

y = 1/5 x

Plug y = 1/5 x in equation (1)

3x + 21*1/5x = 180

15x + 21x = 180*5

(Multiplying both sides by 5)

36x = 900

x = 900/36

x = 25

Answer:

the function is f(x) = 7/4x - 2

therefore the average rate of change is 7/4

Given:

Length of the parallelogram = 25 feet

Width of the parallelogram = 20 feet

Perpendicular distance from the long side to the opposite long side = 18 feet.

To find:

The area of the piece of land which is a parallelogram.

Solution:

Area of a parallelogram:

[tex]Area=Base\times height[/tex]

Let the longer side, 25 feet is the base, then the height of the parallelogram is 18 feet. So, the area of the parallelogram is

[tex]Area=25\times 18[/tex]

[tex]Area=450[/tex]

Therefore, the area of the piece of land is 450 square feet.

Answer:

79

Step-by-step explanation:

x2 + 11x + 1,

first step substituion

6(2) + 11(6)+ 1

multiply

12+66+1

add like terms

79

Answer:

103

Step-by-step explanation:

Answer: x = 2√3.

Step-by-step explanation:

[tex]x^{2} +6^{2} =(2x)^{2}\\\\x^{2} +36=4x^{2} \\\\4x^{2}-x^{2} -36=0\\\\3x^{2} -36=0\\\\3(x^{2} -12)=0\\\\x^{2} -12=0\\\\x^{2} =12\\\\x=\sqrt{12} =2\sqrt{3}[/tex]

Answer: Usually the formula for the volume of a prism is V=b(h)—> In words, Volume equals base times height. This means the height 10 would replace h. —> V=b(10). Next we want to find the B in the forumla. If you notice the question says that the base is 24 square centimeters. So our new formula is V=24(10). So option C, V=24x10 is the correct answer.

Answer:

4

Step-by-step explanation:

Answer:

B. g(x) = RootIndex 3 StartRoot x minus 3 EndRoot + 4

Step-by-step explanation:

edg 2021 .. its correct

The equation that is graphed along with the parent function is [tex]g(x)=\sqrt[3]{x-3} +4[/tex]

The parent function is a cube root function, represented as:

[tex]f(x) = \sqrt[3]{x}[/tex]

First, the parent function is horizontally shifted right by 3 units

The rule of this transformation is:

[tex](x,y) \to (x - 3,y)[/tex]

So, we have:

[tex]f'(x) = \sqrt[3]{x - 3}[/tex]

Next, the transformed function is vertically shifted up by 4 units

The rule of this transformation is:

[tex](x,y) \to (x,y+4)[/tex]

So, we have:

[tex]g(x)=\sqrt[3]{x-3} +4[/tex]

Hence, the equation is [tex]g(x)=\sqrt[3]{x-3} +4[/tex]

Read more about function transformation at:

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