An 18-foot ladder is leaning against the side of a building forming a right triangle. The angle formed by the ladder and the ground is 60°. Which is closest to the distance, in feet, of the bottom of the ladder from the base of the wall?

Step-by-step explanation:

–3x + 6 > 48

–3x > 48 –6

–3x > 42 ==(divided by –3)

x < –14

Answer:

21

Step-by-step explanation:

Answer:

Step-by-step explanation:

Best advice: make a sketch (which I can't do here).

When you reflect in the x axis, only the y value changes...so (3, -4) reflects to (3,4).

Translating down (i.e. in the negative direction) again means the x value (the abscissa) doesn't change, only the y value (the ordinate)...so the final value of the point is (3,1).

Considering the roots of function f(x), the correct statement is given by:

D. f has exactly two zeros of [0,4].

The roots of a function are the values of x for which f(x) = 0.

In this problem, we have that:

For values of x less than 2 on the interval, the function is never negative nor zero, hence there are no roots in that interval and option D is correct.

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Given:

The locations of the two points are (-3 , -8) and (3 , -8).

To find:

The relation between two points.

Solution:

From the given points (-3 , -8) and (3 , -8), it is clear that the y-coordinates are same but the sign of x-coordinates are opposite.

If a figure is reflected across the y-axis, then we change the sign of x-coordinate and the y-coordinates remain same, i.e.,

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

For (3,-8),

[tex](3,-8)\to (-3,-8)[/tex]

So, it is reflection across the y-axis.

Therefore, the correct option is C.

Answer:

reflection across the x-axis

Answer:

its 14.7

Step-by-step explanation:

I Took The Test

Answer:

No, it doesn't.

Step-by-step explanation:

In order to find what makes a triangle, lets use the Triangle Inequality Theorem!

This theorem can help us show whether the sum of two side lengths of a triangle is greater than the third side or not

Here is our formula(s):

1.) a + b > c

2.) a + c > b

3.) b + c > a.

Lets make a=12, b=7, & c=5

1.) 12 + 7 > 5

    19 > 5

2.) 12 + 5 > 7

       17 > 7

3.) 7 + 5 > 12

      10 > 12

As you can see, both numbers 1 and 2 shows to be correct but 3 is not. Therefore it doesn't make a triangle. Remember, if all the two side lengths of a triangle is greater than the third side, then it makes a triangle.

Answer:

$48

Step-by-step explanation:

Answer:

a.

1 quarter=0.25

240*0.25=60

again,

b.349/60=5.81 weak

Answer:

Step-by-step explanation:

a) he saves £60 per week

b) 60 x 6= 360

   he needs to save £60 for 6 weeks to have enough money to buy a bike

The total cost of wrapping for both fishes are given by 4.5x + 2 and 5x respectively.

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let x represent the number of pounds of the fish.

For the first fish, cost = 4.5x + 2

For the second fish, cost = 5x

The total cost of wrapping for both fishes are given by 4.5x + 2 and 5x respectively.

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Answer:

2+2x(7/7)= 0 (you do what's in the parenthesis first)

2+ 2x (1) =0 (then you multiply, and anything times 1 is itself)

2 + 2x= 0 (subtract 2 from both sides to get the x-term alone)

2x= -2 (divide both sides by 2 to get x isolated)

x= -1 (is your answer)

The product of the given scientific notation is 3.3252 *10^-28

The standard scientific notations is expressed as A * 10^n. Given the following product

(9.78 x 10−11)(3.4 x 10−18)

This can be expressed as;

(9.78*3.4)* (10^-11 * 10^-18)

33.252 * (10^-11-18)

33.252 * 10^-29

3.3252 *10^-28

Hence the product of the given scientific notation is 3.3252 *10^-28

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Answer:

The answer is "3.3252 x 10^-28" or D :)

Step-by-step explanation:

I got it right on my quiz so it should also be right for you, have a good day.

Answer:

D. 5/2

Step-by-step explanation:

20:8

You can divide them by 4 to get 5 and 2

20/4 = 5

8/4 = 2

5/2

Hope this helps!!

Answer:

the answer would be d 5/2

Step-by-step explanation:

u would so a fraction put 20/8 ans simplify the exact form would be 5/2

Answer:

b

Step-by-step explanation:

Um i dont knbow that

Answer:

4(x + 8) -4 = 34 - 2x

4x + 32 - 4 = 34 - 2x

4x + 2x = 34 - 32 + 4

6x = 6

x = 6/6

x = 1

Answer:

3/2

Step-by-step explanation:

replace dis in y to check your answer

Given:

The equation [tex]T=15n+12[/tex] represents the total amount T, in dollars, Salim will pay for n tickets.

To find:

What does 12 represent in the equation?

Solution:

The vendor charges a one-time service fee for processing the purchase of the tickets.

We have, the equation

[tex]T=15n+12[/tex]

Here, 15 is the coefficient of n and 12 is constant.

If n is number of tickets then 15 must be the price of each ticket.

12 is free from variable and it is fixed. So, it represents one-time service fee for processing the purchase of the tickets.

Therefore, 12 represents that one-time service fee for processing the purchase of the tickets is $12.

Answer:hellos 6

Step-by-step explanation:

Isthsjsh

Answer:

=======================

Let the speed of plane is x and speed of the wind is y.

The speed of the plane with the wind is x + y and speed of the plane against the wind is x - y.

Equation for speed:

Since the same amount of time spent in both cases, we can set equations:

Add up the two equations and solve for x:

Find y:

The time which it will take for the ball to hit the ground after bring thrown from a height of 40 meters as described in the task content is; 2.37 seconds.

It follows from the task content that the equation given for the height, h in meters of the ball thrown is;

h = 40 - 5t - 5t²

Therefore, when the ball hits the ground, the height at this point is; 0.

0 = 40 - 5t - 5t²

Divide through by -5 so that we have;

t² + t - 40 = 0.

Hence, by solving using the quadratic formula; the values of t are;

t = 2.37 sec or -3.37 sec.

Ultimately, since the time taken can only have a positive value, it follows that the time taken by the ball to hit the from the 40 meters height is; t = 2.37.

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Answer:

for answer to be 2

mod of x +2 should be equal to 1

so the answer will be x = -3 or -1

for x = 1 we will get gx 0

for g(x) = -2 mod x +2 should be equal to 5

so x is -7 or 3

your answer is Z equals 3.71

======================================================

Explanation:

Check out the diagram below

I drew a rectangle with dimensions 56 ft by 78 ft.

Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8

The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point

Add up all the areas found: 3500+420+400+48 = 4368

As a way to check, using your calculator shows that 56*78 = 4368

Answer:

A perfect cube *sorry*

Step-by-step explanation:

125 squared is not possible

125 cubed = 5*5*5

Answer:

go look at my first question

Step-by-step explanation:

The resulting image of point C is C''(x, y) = (1, - 5).

The triangle seen on the Cartesian plane is generated by three points on that plane. The image of the triangle is the result of reflecting the three vertices over the x axis and later translating them 3 units in the +x direction and a unit in the - y direction, two kinds of rigid transformations.

Now we proceed to show the entire procedure:

Reflection over the x-axis

C'(x, y) = C(x, y) + (0, - 2 · c)

C'(x, y) = (- 2, 4) + (0, - 8)

C'(x, y) = (- 2, - 4)

Translation

C''(x, y) = (- 2, - 4) + (3, - 1)

C''(x, y) = (1, - 5)

The resulting image of point C is C''(x, y) = (1, - 5).

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Answer:

its c im pretty sure

Step-by-step explanation:

i got it right on my quiz