If a 30-Foot tree cast an 18-foot shadow, find the length of the shawdow cast by a 27- foot tree

Answer:

it blurry

Step-by-step explanation:

Simplifying

2x2 + 6x + 4 = 24

Reorder the terms:

4 + 6x + 2x2 = 24

Solving

4 + 6x + 2x2 = 24

Solving for variable 'x'.

Reorder the terms:

4 + -24 + 6x + 2x2 = 24 + -24

Combine like terms: 4 + -24 = -20

-20 + 6x + 2x2 = 24 + -24

Combine like terms: 24 + -24 = 0

-20 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.

2(-10 + 3x + x2) = 0

Factor a trinomial.

2((-5 + -1x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying

-5 + -1x = 0

Solving

-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1x = 0 + 5

-1x = 0 + 5

Combine like terms: 0 + 5 = 5

-1x = 5

Divide each side by '-1'.

x = -5

Simplifying

x = -5

Answer:

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

-5 + -1x = 0

-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1x = 0 + 5

-1x = 0 + 5

Combine like terms: 0 + 5 = 5

-1x = 5

x = -5

Step-by-step explanation:

Answer:

Shawn and Natasha have same amount in savings after [tex]10[/tex] weeks.

Step-by-step explanation:

Shawn gets an allowance of $18 each week.

Amount saved by Shawn = [tex]\frac{1}{2}(\$18)=\$9[/tex]

Natasha gets an allowance of $9 each week.

Amount saved by Natasha = [tex]\frac{2}{3}(\$9)=\$6[/tex]

Suppose that Shawn and Natasha have same amount in savings after [tex]x[/tex] weeks.

Also, Shawn started with $0 savings, and Natasha started with $30.

So,

[tex]9x=30+6x\\9x-6x=30\\3x=30\\x=10[/tex]

Therefore,

Shawn and Natasha have same amount in savings after [tex]10[/tex] weeks.

Answer:

X= -2, y=-4

Step-by-step explanation:

hard to explain it

Answer:

1) 9

2) -5

3) 15

4) 100

those are the answers

9514 1404 393

Answer:

Step-by-step explanation:

As in the example, put the value where the variable is and do the arithmetic.

1. 2·7 -5 = 9

2. 5^2 -15 = 10

3. 81/9 +6 = 15

4. 8·13 -4 = 100

Your calculator can do the math.

Answer:

9/41

Step-by-step explanation:

cos=adjacent/hypotenuse

adjacent=9

hypotenuse=41

Answer:

A is the answer you sent on the question on carton

Answer:

2x - 11

Explanation:

We multiply x by 2 which gives us 2x, then subtract it by 11 which gives us 2x - 11.

I hope this helps!! ^-^

Answer:

2x-11

Step-by-step explanation:

twice a number x= 2x

minus 11= (-11) after 2x

Step-by-step explanation:

x-(-11)

= x+11

= 14+11

= 25

Answer:

{-3,0,2,5}

Step-by-step explanation:

range consists of all y-values from each ordered pair in the relation shown

Answer:

Step-by-step explanation:

3ln(4) = 2ln(x)

ln(4³) = ln(x²)

4³ = x²

(2²)³ = x²

2⁶ = x²

x = ±√2⁶ = ±2³ = ±8

However, the argument of a logarithm must be positive, so x=8.

The solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}. Option D is correct.

To solve the equation, we can use the logarithmic identity that states:

n * log(a) = log(aⁿ)

Using this identity, we can rewrite the equation as:

In(4³) = In(x²)

Simplifying both sides using the natural logarithm properties, we get:

In(64) = In(x²)

Taking the exponential of both sides, we have:

[tex]e^{In 64} = e^{In x^2}\\64 = x^2[/tex]

Taking the square root of both sides, we get:

x = ±8

However, we must check if either of these solutions makes the argument of the natural logarithm negative, which is not allowed. Since the argument of the natural logarithm is positive for both x = 8 and x = -8, both solutions are valid.

Therefore, the solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}.

Learn more about logarithmic function here:

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Answer:

1,344,000

Step-by-step explanation:

since 2 hours have gone by divide 112,000 by 2 you will get 56,000 meaning the asteroid is going 56,000 Miles Per Hour now Multiply 56,000(MPH) by 24 (Hours)

You're Answer: 1,344,000

Answer:

x = 8

Step-by-step explanation:

Base angles of isoceles triangle are equal

5x + 10 = 50

5x = 40

x = 8

Answer:

V~1911

Step-by-step explanation:

7^2=49

3*49=147

147=1911

V~1911

9514 1404 393

Answer:

  (x -4)^2 +(y -7)^2 = 36

Step-by-step explanation:

The equation of a circle with radius r and center at (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...

  (x -4)^2 +(y -7)^2 = 36

Answer:

Step-by-step explanation:

1) Function: y = 5x - 2

2) Slope: 1/2     Y-Int: 4

3) Function: y = 6

4) Slope: -4     Y-Int: 1

5) Function: y = -2x/3

Answer:

Step-by-step explanation:

(1). y = 5x - 2

(2). m = [tex]\frac{1}{2}[/tex] , b = 4

(3). y = 6

(4). m = - 4 , b = 1

(5). y = - [tex]\frac{2}{3}[/tex] x

Answer:

YeS, it is a solution

Step-by-step explanation:

Here, we want to check if -6 is a solution to the question

What we have to do is to replace x by -6

If what we have on the left equals that on the right, then -6 is a solution

Thus, we have it that;

3(2(-6) -8)

= 3(-12-8)

= 3(-20) = -60

for the right hand side

-4 (15) = -60

This means both sides are equal and that -6 is a solution

Answer:

the sugar cookie dough is $5 each and the gingerbread is $10 each.

Answer:

1 sugar cookie pack=$ 5

1ginger cookie pack=$10

Step-by-step explanation:

13x+ 7y=135

13x+ 11y= 175

by subtraction

4y=40

y=10

substituting the value of y in any of the above equation

13x+7×10= 135

13x+70=135

13x=135-70

13x=65

x=65/13

x=5

Answer:

18

Step-by-step explanation:

4d+6=

you substitute 3 for d

4(3)+6=

12+6=

18

Answer:

4 x 3 + 6 = 18

Step-by-step explanation:

4 x 3 = 12

12 + 6 = 18

Answer:

90.3125 cm³

Step-by-step explanation:

Since the perimeter of the bottom square is 17, you can divide by four to find out what the lenght of each side is.

17/4=4.25 cm

We know the height of pyramid is 15 cm

The formula for the volume of a square pyramid is

V=a²(h/3)

V=a2(h/3)=4.252·15/3=90.3125 cm³

Answer:

The first one I'm pretty sure.

Step-by-step explanation:

y=-3x+4

dedont be suspicoes

A MOP TO CLEAN CULO

c

c

c

c

c

Answer:

Step-by-step explanation:

Refer to attached

You can easily calculate that each of the sides have the length:

Parallel sides have equal slopes:

Diagonals are perpendicular as their slopes are negative reciprocal:

So we see the quadrilateral ABCD has two pairs of parallel sides, all sides are equal and the diagonals are perpendicular.

This is the definition of the rhombus.

Step-by-step explanation:

Given

Jordan has more than 25 coins in his collection.

So the inequality which shows the number of coins in Jordan's collection is

C x > 25

Hope it will help :)❤

Answer:

No

Step-by-step explanation:

There is no association between the state and the debt level for graduates because when all put into precentages they are all about the same.

This is a right angles triangle

(6x6)/2

18

Answer:

18 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 6 and h = 6 , then

A = [tex]\frac{1}{2}[/tex] × 6 × 6 = 3 × 6 = 18 cm²

Answer:

y = 4

Step-by-step explanation:

Answer:

The length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.

Step-by-step explanation:

Let L and W be the length and width of the patio respectively. Since the patio is a rectangle, its perimeter, P = 2(L + W). This perimeter equals the length of string of lights which is 45 ft.

Now, the length of his patio, the side along the house, is five feet longer than twice its width implies that L = 2W + 5.

Substituting L into P, we have

P = 2(L + W)

= 2(2W + 5 + W)

= 2(3W + 5)

= 6W + 5

Since P = 45 feet,

6W + 5 = 45

6W = 45 - 5

6W = 40

W = 40/6

W = 20/3 feet

W = 6²/₃ feet

Since L = 2W + 5, substituting W = 20/3 into L, we have

L = 2W + 5

= 2(20/3) + 5

= 40/3 + 5

taking the L.C.M, we have

= (40 + 15)/3

= 55/3 feet

= 18¹/₃ feet

So, the length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.

Answer: x = 6

Step-by-step explanation:

All angles in a triangle = 180*

9x - 11 + 80 + 57 = 180

9x + 137 = 180

9x = 54

x = 6

Plug in to see if its correct

9 (6) - 11 + 80 + 57 = 180

54 + 126 = 180

180 = 180

Answer:

2/x

Step-by-step explanation:

The easy way:

take point (2,1) on graph g

subst the values into g(x)=a/x

1=a/2

a=2

thus -> 2/x

The value of a is 2 for the transformed function g(x) = a/x.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The value of a is calculated as,

Take point (2,1) on graph g and substitute the values into g(x)=a/x

1=a/2

a=2

Therefore, the value of a is 2 for the transformed function g(x) = a/x.

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