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3 years ago

The coordinates of the vertexes of a triangle are A(3,3) B(6,6) C(9,3). What will be the new coordinates after a dilation

Mathematics

1 answer:

yuradex [85]3 years ago

8 0

Answer:

Step-by-step explanation:

Dilation by 3 from origin causes each point to be multiplied by 3.

(3,3) * 3 = (9, 9)

(6, 6) * 3 = (18, 18)

(9, 3) * 3 = (27, 9)

which is A

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Noah wants to clean his second story windows and plans to buy a ladder that will reach at least

Lina20 [59]

Answer:

Noah should buy a ladder of length greater than <u>28.1 ft</u> to reach at least 22 feet height.

Step-by-step explanation:

Given:

Noah has to reach at least 22 ft height.

Angle made by the base of ladder with the ground = 51.5°

To find the length of the ladder.

Solution:

On drawing the situation, we get a right triangle. The hypotenuse of the triangle represents the length of the ladder.

In triangle ABC.

∠C = 51.5°

AB = 22 ft

Applying trigonometric ratio to find AC (length of the ladder).

$\sin\theta = \frac{Opposite\ side}{Hypotenuse}$

$\sin C=\frac{AB}{AC}$

Plugging in values.

$\sin 51.5\°=\frac{22}{AC}$

Multiplying AC both sides.

$AC\sin 51.5\°=\frac{22}{AC}\times AC$

$AC\sin 51.5\°=22$

Dividing both sides by $\sin 51.5\°$

$\frac{AC\sin 51.5\°}{\sin 51.5\°}=\frac{22}{\sin 51.5\°}$

$AC=\frac{22}{\sin 51.5\°}$

$AC=28.1\ ft$

Thus, Noah should buy a ladder of length greater than 28.1 ft to reach at least 22 feet height.

5 0

3 years ago

Over what interval is the function decreasing? f(1) = x2 + 2x + 2

kotykmax [81]

Answer:

Step-by-step explanation:

$y=x^2+2x+2\\ \\ \frac{dy}{dx}=2x+2\\ \\ 2x+2$

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3 years ago

X+y=250 tickets<br> 9x+6y=2,100 dollars.<br> Solve for X and Y Using the Combination Method

Gala2k [10]

Answer:

Step-by-step explanation:

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3 years ago

Name an outcome that has a probability between 0.5 and 1

diamong [38]

Answer:

0.6

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Question is in the picture

aleksandr82 [10.1K]

Answer:

y = 2x - 7

Step-by-step explanation:

When x is equal to 0, then the y value is your y-intercept. So, your y-intercept is -7.

Now, pick two points. Let's pick (-1,-9) and (0,-7). We can add these into the slope formula.

$Slope(m)=\frac{y2-y1}{x2-x1}$

$m=\frac{-7-(-9)}{0-(-1)}$

$m=\frac{2}{1}$

$m=2$

Now, we can use the slope and the y-intercept and put them into a slope-intercept equation.

$y=mx+b$

$y=2x-7$

6 0

3 years ago