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Rzqust [24]
3 years ago
7

Which of the graphs best represents a system of equations that has no solution?

Mathematics
1 answer:
Lesechka [4]3 years ago
3 0
When the lines are parallel then there is no solution to the system of equations.
This happens because the intersection is the solution. And when there is no intersection then there is no solution.
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For the period 1971 − 2001, the number y of films produced in the world can be modeled by the function y = 10x2 − 94x + 3900 whe
Lera25 [3.4K]
The question that you have input is clearly wrong. It's not a quardratic equation. 10X2 doesn't make any sense for a quadratic equation. You should change it to 10x^2 which would make more sense
4 0
3 years ago
Show that √(1-cos A/1+cos A) =cosec A - cot A​
Gennadij [26K]

Hi there!

\sqrt{\frac{1-cosA}{1+cosA}} =

We can begin by multiplying by its conjugate:

\sqrt{\frac{1-cosA}{1+cosA}} * \sqrt{\frac{1+cosA}{1+cosA}}  = \\\\\sqrt{\frac{(1-cosA)(1 + cosA)}{(1+cosA)(1 + cosA)}} =

Simplify using the identity:

1 - cos^2A = sin^2A

\sqrt{\frac{(1-cos^2A)}{(1+cosA)^2}} =\\\\\sqrt{\frac{(sin^2A)}{(1+cosA)^2}} =

Take the square root of the expression:

{\frac{sinA}{1+cosA} =

Multiply again by the conjugate to get a SINGLE term in the denominator:

{\frac{sinA}{1+cosA} * {\frac{1-cosA}{1-cosA} =\\

Simplify:

{\frac{sinA(1-cosA)}{1-cos^2A} =

Use the above trig identity one more:

{\frac{sinA(1-cosA)}{sin^2A} =

Cancel out sinA:

{\frac{(1-cosA)}{sinA}  =

Split the fraction into two:

{\frac{1}{sinA}   - \frac{cosA}{sinA} =

Recall:

1/sinA = cscA\\\\cosA/sinA = cotA

Simplify:

\frac{1}{sinA} + \frac{cosA}{sinA} = \boxed{cscA - cotA}

5 0
2 years ago
A sample of 50 observations is taken from an infinite population. The sampling distribution of : a.is approximately normal becau
Korvikt [17]

Answer:

a.is approximately normal because of the central limit theorem.

Step-by-step explanation:

The central limit theorem states that if we have a population with mean μ and standard deviation σ and we take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

For any distribution if the number of samples n ≥ 30, the sample distribution will be approximately normal.

Since in our question, the sample of observations is 50, n = 50.

Since 50 > 30, then <u>our sample distribution will be approximately normal because of the central limit theorem.</u>

So, a is the answer.

3 0
3 years ago
The difference of twice a number and 2 is at least −26.
natita [175]

2x - 2 \geqslant  - 26
8 0
3 years ago
Read 2 more answers
Lin runs 5 laps around a track in 8 minutes.
andrezito [222]

Answer:

To run one lap Lin takes 1.6 minutes.

Step-by-step explanation:

To find this answer you would do 8 divided by 5. Always remember when dividing time goes first unless the instructions / directions / your teacher says differently. So, when you do 8 divided by 5 the answer you get is 1.6, and there is your answer. Also to check your answer you can do 1.6 times 5, and you get 8, so you know that 1.6 is the correct answer.

5 0
3 years ago
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