The designers of a water park are creating a new slide and have sketched some preliminary
drawings. The length of the ladder is a = 24 feet, and its angle of elevation is 60° (see figure).

Answer:

x=4

length=13

width=-1

Step-by-step explanation:

I'm not sure what you want but the slope for each graph from left to right is 5, -7/8, -2.

The equation of each graph from left to right in slope intercept form is

y = 5x + 2, y = -7/8x - 11/8, y = -2x + 6.

Answer:

12

Step-by-step explanation:

30 divided by 5 then you have six so everyone 1/5 is 6 and 2/5 is wearing red so then 2/5 is 12

Answer:

12 students are wearing red t-shirts.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the quadratic formula

=

−

±

2

−

4

√

2

x

=

−

b

±

b

2

−

4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

2

+

−

6

=

0

2

x

2

+

x

−

6

=

0

2x2+x−6=0

=

2

a

=

2

a=2

=

1

b

=

1

b=1

=

−

6

c

=

−

6

c=−6

=

−

1

±

1

2

−

4

⋅

2

(

−

6

)

√

2

⋅

2

x

=

−

1

±

1

2

−

4

⋅

2

(

−

6

)

2

⋅

2

x=2⋅2−1±12−4⋅2(−6)​​

Answer:

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

Step-by-step explanation:

Given

2x² + x - 6 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 6 = - 12 and sum = + 1

The factors are + 4 and - 3

Use these factors to split the x- term

2x² + 4x - 3x - 6 = 0 ( factor the firs/second and third/fourth terms )

2x(x + 2) - 3(x + 2) = 0 ← factor out (x + 2) from each term

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

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Answer:

(6,-7)

Step-by-step explanation:

the coordinates of point B are (6-7)

Answer:

the first answer is right

Step-by-step explanation:

$ 190.40 hope it he,lps.

Answer:

y= -2/3x + 4

Step-by-step explanation:

2x + 3y = 12

3y = 12 - 2x

3y/3 = 12/3 - 2x/3

y = 4 -2x/3

y = -2x/3 + 4

Answer:

The coordinates of the image of point A are (-1, -6)

Step-by-step explanation:

Let us revise the rule of translation to the left, down, and reflection across the x-axis

∵ The coordinates of point A are (3, 4)

∵ It is translated 4 units left

∴ h = 4

→ By using the 1st rule above

∴ Its image is (3 - 4, 4)

∴ Its image is (-1, 4)

∵ Its is reflected across the x-axis

→ By using the 3rd rule above change the sign of its y-coordinate

∴ The new image is (-1, -4)

∵ It is translated 2 units down

∴ k = 2

→ By using the 2nd rule above

∴ The final image is (-1, -4 - 2)

∴ The final image is (-1, -6)

∴ The coordinates of the image of point A are (-1, -6).

Answer: D

Hope it helps

Answer:

the forth one (d)

Step-by-step explanation:

Answer:771

Step-by-step explanation:I did a long division by using a calculator

Answer:

771

I used an app

Answer:

([tex]x[/tex], [tex]y[/tex]) = (30, 16)

Step-by-step explanation:

First find the similarity

Since you know the legnth of the hypotenuse (the longest one) for both traingles, you can find the similarity by dividing the longer by the shorter:

50 ÷ 20 = 2.5

The similarity between the 2 triangles is 2.5.

Now find the length of [tex]x[/tex] on the longer one, use the shorter one's length and the similarity:

12 × 2.5 = 30

So the length of [tex]x[/tex] is equal to 30

Now lets find [tex]y[/tex], lets use the length of the larger triangle this time and divide the length of the longer leg (there are 2 legs in every triangle, if you don't know the hypotenus's length, use the pythagorean theorem) and divide it by the similarity:

40 ÷ 2.5 = 16

[tex]y[/tex] = 16

WooHoo! ([tex]x[/tex], [tex]y[/tex]) = (30, 16)

Answer:

50% off of y

Step-by-step explanation:

Answer:

3a^2

Step-by-step explanation:

solve as follows by using the laws of indices

Index or indices determines how many times a phrase has been multiplied by itself. The value of the given indices expression will be 3a².

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The radical is the symbol that is used to represent the root in the expression n√x, while an index or indices determines how many times a phrase has been multiplied by itself, it is represented by a tiny number in the superscript form.

The given indices expression can be solved as shown below.,

[tex]\sqrt{\dfrac{54a^{-4}}{6^{-8}}}[/tex]

[tex]= \sqrt{\dfrac{54(a^{-4})(a^{8})}{6}}[/tex]

[tex]= \sqrt{\dfrac{54(a^{-4+8})}{6}}\\\\= \sqrt{\dfrac{54(a^4)}{6}}[/tex]

= √(9a⁴)

=√(3a²)²

= 3a²

Hence, the value of the given indices expression will be 3a².

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

Answer:

1,125 km

Step-by-step explanation:

So you want to find out how far the balloon went and we already know how fast and how long it's been traveling for. So now, all you have to do is come up with an equation which looks like:

2.5 x 450

Which equals 1,125 km.

The speed 450km/hour tells us that the balloon travels 450km in one hour. To find how much it traveled in 2.5 hours, we multiply 450 by 2.5.

450 x 2.5 = 1125 km

Therefore, the balloon traveled 1125 km in 2.5 hours

Answer:

[tex] {x ^{2} = \frac{25}{64} } \\ x = \sqrt{ \frac{25}{64} } \\ x = \frac{5}{8} \: \: x = - \frac{5}{8} [/tex]

Answer:

1280, -5120

Step-by-step explanation:

it gets multiplied by -4 every time

Answer:

Not sure but I'm gonna try

Step-by-step explanation:

x-2y=42

-2y=-x+42

y= (-x/2)+(42/2)

y=-x/2 + 21

Answer:

About 1,749,638,696 miles.

Step-by-step explanation:

It might be incorrect so don't fully trust me.

Answer:

C

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

for f(6).

[tex]f(6) = - 3 \times 6 + 1 = 17[/tex]

Answer:

17

Step-by-step explanation:

Answer:

(6, 10)

Step-by-step explanation:

(6, 10) because it can go in a straight line in the same rate.

Answer:

C)

Step-by-stec p explanation:

Answer:

96,000 people

Step-by-step explanation:

convert the length from miles to feet.

2.5 miles = 13,200 feet

Area = 13,200× 8

Area = 105,600 square feet

but the fans will be on both sides of the sidewalk,hence,

the area will be twice.

105,600 square feet ×2= 211,200 square feet.

1 fan = 2.2 square feet

x = 211,200 square feet

therefore number of fans will be = 96,000 people.

Since we know the Circumference of the circle (28.26) we can use the formula to find the Diameter of the circle

The Diameter of the circle is 9

Answer:

D

Step-by-step explanation:

D doesnot satisfy when numbers are substituted

Answer:

r = 18

Step-by-step explanation:

6 + 1.30r = 29.40 [write out the equation]

-6 -6 [subtraction property of equality]

1.30r = 23.40

___ ____ [division property of equality]

1.30 1.30

r = 18

I hope it helps :)

Answer:

6 + 1.30r = 29.40

Step-by-step explanation:

Answer:

Let's take a look at the lengths of the sides: 90, 120, 150. What do we notice here?

It's a 3:4:5 triangle.

90/30 = 3, 120/30 = 4, 150/30 = 5.

That the 2 triangles formed by line running diagonally through the base creates AT LEAST 2 right angles.

Since the total amount of degrees in a quadliateral is 360,

180(s-2)

And we know that there are 2 right angles which equals to 180 and the sides are all parallel to each other,

That must mean that the 2 remaining angles of the box add up to 180,

Therefore all angles are 90 degrees.

Answer:

G , JG, GH are the answers

Step-by-step explanation:

I’m so sorry the wretarded Billie Eyelash Stan couldn’t answer your question the first time :( but luckily my awesome smartness came along and gave you the answer, yes, yes. no problem anytime ;)

Answer:

G , JG, GH are the answers

Step-by-step explanation:

i just did it 100%

I'm sorry the photo is on a side. I'm too lazy to text it on here lol

Answer: D) To make sure the value does not make the denominator 0.​

We cannot divide by zero. Something like 1/0 is undefined. So it's important to check all potential solutions to make sure you don't get 0 in the denominator.