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2 years ago

I have to redo this test and I'm stuck on this question. Please help and please show work.

Mathematics

1 answer:

nexus9112 [7]2 years ago

5 0

This is the answer hope this helped u

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Is knowing the coordinates of the vertex of a parabola enough to determine the domain and range?

swat32

Answer:

Step-by-step explanation:

You need to know if it's open up or down

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2 years ago

Smart people. Please click here. I attached a pic of the problem

sergey [27]

Look at the picture.

$r=\sqrt{x^2+y^2}$

$\sin\theta=\dfrac{y}{r}\\\\\cos\theta=\dfrac{x}{r}\\\\\tan\theta=\dfrac{y}{x}\\\\\cot\theta=\dfrac{x}{y}\\\\\sec\theta=\dfrac{r}{x}\\\\\csc\thera=\dfrac{r}{y}$

We have the point $\left(\dfrac{8}{17},\ \dfrac{15}{17}\right)\to x=\dfrac{8}{17},\ y=\dfrac{15}{17}$ .

Calculate r:

$r=\sqrt{\left(\dfrac{8}{17}\right)^2+\left(\dfrac{15}{17}\right)^2}=\sqrt{\dfrac{64}{289}+\dfrac{225}{289}}=\sqrt{\dfrac{289}{289}}=\sqrt1=1$

$\sin\theta=\dfrac{\frac{15}{17}}{1}=\dfrac{15}{17}\\\\\cos\theta=\dfrac{\frac{8}{17}}{1}=\dfrac{8}{17}\\\\\tan\theta=\dfrac{\frac{15}{17}}{\frac{8}{17}}=\dfrac{15}{17}:\dfrac{8}{17}=\dfrac{15}{17}\cdot\dfrac{17}{8}=\dfrac{15}{8}\\\\\cot\theta=\dfrac{\frac{8}{17}}{\frac{15}{17}}=\dfrac{8}{17}:\dfrac{15}{17}=\dfrac{8}{17}\cdot\dfrac{17}{15}=\dfrac{8}{15}\\\\\sec\theta=\dfrac{1}{\frac{8}{17}}=1:\dfrac{8}{17}=\dfrac{17}{8}\\\\\csc\theta=\dfrac{1}{\frac{15}{17}}=1:\dfrac{15}{17}=\dfrac{17}{15}$

5 0

3 years ago

Subtract (x+8)-(-3x-5)

sattari [20]

$\bold{Hey\ there!}\\ \\\bold{(x+8)-(-3x-5)} \\ \bold{Distribute\downarrow} \\ \bold{x(-3x)=-3x^2} \\ \bold{x(-5)=5x} \\ \bold{8(-3x)=-24x} \\ \bold{8(-5)=-40} \\ \\ \bold{We\ get:x+8+3x+5} \\ \bold{Combine\ the\ like\ terms\downarrow} \\ \bullet \ \bold{x \& 3x} \\ \bullet \ \bold{8\&5} \\ \\ \bold{Substitute\ the\ x\ by \ itself\ is\ 1}$

$\bold{1x+3x=4x} \\ \bold{8+5=13} \\ \\ \\ \boxed{\boxed{\bold{Answer:4x+13}}}\checkmark \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy \ your\ day!} \\ \\ \\ \\ \frak{LoveYourselfFirst:)}$

4 0

2 years ago

What is an equation of the line with slope 3 that goes through point (2/3, 4)

qwelly [4]

A. All the equations are in slope intercept form, so all that's needed to do is plug in 2/3 as the x value in each equation and if the result is 4, then you got the answer.

6 0

3 years ago

QUESTION 10

Bezzdna [24]

The correct answer is A. The 200 randomly selected students

Explanation:

In most studies, the complete population is not surveyed or studied instead, a specific number of individuals are selected, this group is known as the sample. Additionally, the sample represents the population, and due to this, their answers are used to make inferences about all the population.

According to this, the population is all the students in the school, while the sample is the 200 randomly selected students because this is the group that is going to be studied to make conclusions and inferences about all the population.

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2 years ago