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Olegator [25]
2 years ago
10

I need help on the problem #53 it asking to prove if it is an identity.

Mathematics
1 answer:
pav-90 [236]2 years ago
8 0
Answer and workings can be found in the attachment below...

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The polygon below are similar. solve for x and y
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We would need the info about the lengths of the sides of said polygon.
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3 years ago
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A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height
melisa1 [442]

General Idea:

Domain of a function means the values of x which will give a DEFINED output for the function.

Applying the concept:

Given that the x represent the time in seconds, f(x) represent the height of food packet.

Time cannot be a negative value, so

x\geq 0

The height of the food packet cannot be a negative value, so

f(x)\geq 0

We need to replace -15x^2+6000 for f(x) in the above inequality to find the domain.

-15x^2+6000\geq 0 \; \;  [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0

The possible solutions of the above inequality are given by the intervals (-\infty , -2], [-2,2], [2,\infty ). We need to pick test point from each possible solution interval and check whether that test point make the inequality (x+200)(x-200)\leq 0 true. Only the test point from the solution interval [-200, 200] make the inequality true.

The values of x which will make the above inequality TRUE is -200\leq x\leq 200

But we already know x should be positive, because time cannot be negative.

Conclusion:

Domain of the given function is 0\leq x\leq 200

4 0
3 years ago
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If Nicholas is located at (–3, 2), what is the distance to get to the grocery store?
PilotLPTM [1.2K]

Answer:

it would be D 5 hope this helps :)

Step-by-step explanation:

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3 years ago
Debbie rides her bike to school every day. On Monday, she rode 1.5 miles to school in 10
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Answer:

the second route

Step-by-step explanation:

1.5/10=0.15 miles/minute

3/15=0.2 miles/minute

0.2 is faster than 0.15

4 0
2 years ago
What is it’s measure and what kind of angle is formed here? Basically what the question asks dhdjdkdk
777dan777 [17]

right

Answer:

90°

Step-by-step explanation:

Type of angle foremd= right

Measure = 40° + 50° = 90°

Type of angle foremd= right

Measure = 40° + 50° = 90°

4 0
3 years ago
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