Ask question

Ask question

All categories

3 years ago

6

If you place a 13-foot ladder against the top of a 12-foot building, how many feet will the bottom of the ladder be from the bot

tom of the building?

2 answers:

Mademuasel [1]3 years ago

7 0

Answer:

13^2=12^2+x^2

25=x^2

5=x

Step-by-step explanation:

Degger [83]3 years ago

5 0

13^2=12^2+x^2
25=x^2
5=x

You might be interested in

PLEASE HELP ME WITH THIS MATH QUESTION PLEASE FILL ALL BLANKS

maxonik [38]

Answer:

1/3
y-axis
(1, -2)

Step-by-step explanation:

The length AC is 3, but the corresponding length FD is 1, so the dilation factor is FD/AC = 1/3.

The reflection is a left/right reflection, so it is across a vertical line. We suspect the only vertical line you are interested in is the y-axis. (It could be reflected across x=1/2, and then the only translation would be downward.)

The above transformations will put C' at (1, 0). Since the corresponding point D is at (2, -2), we know it is C' is translated by (1, -2) to get to D.

C' + translation = D

(1, 0) +(1, -2) = (2, -2)

3 0

3 years ago

Help me with the work

Tpy6a [65]

Answer:

Option B k > 0

Step-by-step explanation:

we know that

Observing the graph

The slope of the line is positive

The y-intercept is negative

we have

$3y-2x=k(5x-4)+6\\ \\3y=5kx-4k+6+2x\\ \\3y=[5k+2]x+(6-4k)\\ \\y=\frac{1}{3}[5k+2]x+(2-\frac{4}{3}k)$

The slope of the line is equal to

$m=\frac{1}{3}[5k+2]$

Remember that the slope must be positive

so

$5k+2> 0\\ \\k > -\frac{2}{5}$

The value of k is greater than -2/5

Analyze the y-intercept

$(2-\frac{4}{3}k) < 0\\ \\ 2 < \frac{4}{3}k\\ \\1.5 < k\\ \\k > 1.5$

1.5 is greater than zero

so

the solution for k is the interval ------> (1.5,∞)

therefore

must be true

k > 0

5 0

3 years ago

If f(x) = 3x and g(x)=2x, what is (g o f)(x)?<br> 5x<br> 5x2<br> 6x<br> 6x2

eduard

If you would like to solve (g ° f)(x), you can calculate this using the following steps:<span>

(g ° f)(x) = g(f(x))

(g ° f)(x) = g(f(x)) = g(3x) = 2 * 3x = 6x

<span>The correct result would be 6x.</span></span>

5 0

3 years ago

The difference of the degrees of the polynomials p(x) = 3x2y2 + 5xy? - x6 and q(x) = 3x5 - 4x3 + 2 is

svet-max [94.6K]

Answer:

The difference of the degrees of the polynomials p (x) and q (x) is 1.

Step-by-step explanation:

A polynomial function is made up of two or more algebraic terms, such as p (x), p (x, y) or p (x, y, z) and so on.

The polynomial’s degree is the highest exponent or power of the variable in the polynomial function.

The polynomials provided are:

$p(x) = 3x^{2}y^{2} + 5xy - x^{6}\\\\q(x) = 3x^{5} - 4x^{3} + 2$

The degree of polynomial p (x) is:

$\text{deg}\ p (x)=6$

The degree of polynomial q (x) is:

$\text{deg}\ q (x)=5$

The difference of the degrees of the polynomials p (x) and q (x) is:

$\text{deg}\ p(x)-\text{deg}\ q(x)=6-5=1$

Thus, the difference of the degrees of the polynomials p (x) and q (x) is 1.

6 0

3 years ago

Math question down below

Kipish [7]

Answer: 6928

----------------------------------------------------------

Explanation:

We have two areas we need to find: The area of the trapezoid and the area of the rectangle. Let's call these areas A1 and A2.

Area of Trapezoid = (height)*(base1+base2)/2
A1 = h*(b1+b2)/2
A1 = 80*(150+100)/2
A1 = 80*250/2
A1 = 20000
A1 = 10000

Area of Rectangle = (length)*(width)
A2 = L*W
A2 = 48*64
A2 = 3072

Subtract the two areas (A1-A2) to get the difference D
D = A1 - A2
D = 10000 - 3072
D = 6928

This difference D is exactly equal to the shaded area.

3 0

3 years ago