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1 year ago

6

A 15-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 9 feet

from the base of the building. How high up the wall does the ladder reach?

1 answer:

mario62 [17]1 year ago

6 0

Check the picture below.

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Write p(x) = 21 + 24x + 6x2 in vertex form.

Helen [10]

To do this, complete the square:

p(x) = 21 + 24x + 6x2 => <span>p(x) = 6x2 + 24x + 21

Rewrite the first 2 terms as

6(x^2 + 4x)

then you have </span><span>p(x) = 6(x2 + 4x ) + 21

Now complete the square of x^2 + 4x:

p(x) = 6(x^2 + 4x + 4 - 4) + 21
= 6(x+2)^2 - 24 + 21

p(x) = 6(x+2)^2 - 3 this is in vertex form now.

We can read off the coordinates of the vertex from this: (-2, -3)</span>

8 0

3 years ago

Maya is helping a gardener plant 300 bulbs. They plant 20% of the bulbs on Monday and 30% of the bulbs on Tuesday. Maya says thi

Katyanochek1 [597]

Answer:

because the total is 300 not 100 so 50 is not reasonable because that is the percentage they planted and since it is more than 100 then it should be a percent of 300 not 100. Maya is wrong about placing 50 bulbs instead they placed 150.

Step-by-step explanation:

8 0

2 years ago

NeX [460]

The point (6, 6) is the mid-point of A and B. Then the coordinate of the point B is (7, 5).

<h3>What is coordinate geometry?</h3>

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A (5, 7) is reflected over the point (6, 6) and its image is point B. Then the point (6, 6) is the mid-point of the A and B. Then the coordinate of the point B will be

$\rm (x_2 , y_2) = (2x -x _1, 2y - y_1)\\\\(x_2 , y_2) = (2 \times 6 - 5, 2 \times 6- 7)\\\\(x_2 , y_2) = (12-5,12-7)\\\\(x_2 , y_2) = (7, 5)$

More about the coordinate geometry link is given below.

brainly.com/question/1601567

#SPJ1

5 0

1 year ago

The slope of the graph of the equation y=2x-2 is 2. What is the y-intercept?

Marina86 [1]

The y-intercept is the "b" in the slope-intercept form of y=mx+b. Based on the equation you wrote, you can substitute each of your known values into the slope-intercept form.

3 0

3 years ago

A circle has a radius of

natima [27]

$\bf s=r\theta\qquad 
\begin{cases}
s=\textit{arc's length}\\
r=radius\\
\theta=\textit{central angle in radians}\\
\qquad \textit{made/subtended by the angle }\theta
\end{cases}\implies \cfrac{s}{r}=\theta$

you're given both, plug them in

4 0

3 years ago