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larisa86 [58]
3 years ago
7

In which direction does the parabola open?

Mathematics
1 answer:
ziro4ka [17]3 years ago
6 0
For this question it opens upwards in
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In triangle JKL, tan(b°) = 3/4 and cos(b°) =4/5. If triangle JKL is dilated by a scale factor of 1/2, what is sin(b°)?
zysi [14]

Answer:

\sin (b^\circ)=\dfrac{3}{5}.

Step-by-step explanation:

It is given that,

\tan (b^\circ)=\dfrac{3}{4}

\cos (b^\circ)=\dfrac{4}{5}

If a figure is dilated, then the image is similar to the figure. It means the corresponding angles of figure and image are congruent.  

So, the value of sin(b°) after dilation is equal to the value of sin(b°) before dilation.

We know that,

\dfrac{\sin \theta}{\cos \theta}=\tan \theta

\dfrac{\sin (b^\circ)}{\cos (b^\circ)}=\tan (b^\circ)

\sin (b^\circ)=\tan (b^\circ)\times \cos (b^\circ)

\sin (b^\circ)=\dfrac{3}{4}\times \dfrac{4}{5}

\sin (b^\circ)=\dfrac{3}{5}

Therefore, \sin (b^\circ)=\dfrac{3}{5}.

5 0
4 years ago
What is the answer to this question 7z +19/2 = 13
Anarel [89]

Answer: z=1/2 or 0.5

Step-by-step explanation: 1. Subtract 19/2 to both sides. 13-19/2 is equal to 7/2 or 3.5." So then you're left with 7z=3.5

2. Divide by 7 to both sides. 3.5/7= 0.5.


3. z=0.5

6 0
1 year ago
Viết đoạn văn cảm nhận về buổi tựu trường đáng nhớ nhất
vladimir2022 [97]

Answer:

Ngày đáng nhớ nhất ở trường là ngày đầu tiên tôi đến trường mới cách đây 2 năm vào năm thứ nhất, tôi cởi áo khoác trong khi ba lô vẫn đeo và bị kẹt và giáo viên phải giúp tôi tháo dây trong khi mọi người nhìn chằm chằm và cười.

Step-by-step explanation:

4 0
3 years ago
Is Janelle correct? Yes, because the lines are not parallel. Yes, because the lines will intersect. No, because the lines are in
Over [174]

Answer:

Step-by-step explanation:

No, because the lines are in the same plane.

8 0
3 years ago
Suppose f(x) = 5x - 4. Describe how the graph of g compares with the graph of f.
posledela

The graph of g(x) and f(x) are related by the given equation g(x) = f(x) + 12,

therefore, the ordered pair of the graph of g(x) is (f(x) + 12, x).

The choice that correctly describes how the graph of g(x) compares with f(x)

is the option; <u>H. The graph of g(x) is translated unit(s) up compared to graph </u>

<u>of f(x)</u>.

Reasons:

The given function is f(x) = 5·x - 4

The function g(x) = f(x) + 12

Required:

To select the correct choice from the given options

Solution:

The difference between f(x) and the required function, g(x), is the addition

of a constant positive value of 12 to the function f(x).

Therefore, each f(x) output value is further increased by 12 to obtain the

graph of g(x), which gives;

The graph of g(x) is translated 12 units up compared to the graph of f(x),

which corresponds with the option H.

Learn more here:

brainly.com/question/15938361

5 0
3 years ago
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