MATHEMATICS HIGH SCHOOL

What is the y-intercept of the line represented by the equation below?
y = –2x – 1

Answers

Answer 1
Answer: general form is y = mx + c  where c = y-intercept

so here the y-intercept is -1

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Help me solve this question?tan(theta) = -3.4141

Find theta to the nearest degree in the interval 0° less than or equal to theta less than or equal to 360°

Answers

For this you're going to want to whip out your calculator.
make sure it is in degrees instead of radians
plug in tan^-1(-3.4141) 
it should equal about -73.674
to change that to be between 0 and 360
360 - 73.674 ≈ 286.325

Elena and Tomas rented a room in a restaurant for their wedding reception. They had to pay a rental rate of $160 plus $15 for the dinner of each guest who attended. They could not afford to pay more than $520 for the reception. Which inequality can be used to find how many guests (

Answers

Answer: See explanation

Step-by-step explanation:

Let the number of guests be represented by x.

The information given can then be used to generate an inequality that goes thus:

160 + 15x ≤ 520

15x ≤ 520 - 160

15x ≤ 360

x ≤ 360/15

x ≤ 24

The number of guests should be at most 24

Need help can someone help me with this question

Answers

In system A, the first equation multiply by 4

8x - 4y = 12 (1st)

3x + 4y = 10 (2nd)

--------------------add

11x = 22

So answer is B.

determine the coordinates of the points that satisfy each condition two points on the x-axis are 10 units from (1,8)

Answers

To determine the coordinates of the points that satisfy the condition of being 10 units from (1,8) on the x-axis, we can set up two equations based on the distance formula.

Let's assume the coordinates of the points are (x, 0), where y = 0 represents the x-axis.

Using the distance formula, we have:

√[(x - 1)^2 + (0 - 8)^2] = 10

Simplifying the equation, we get:

√[(x - 1)^2 + 64] = 10

Squaring both sides, we have:

(x - 1)^2 + 64 = 100

Now, you can solve this equation to find the possible x-coordinates of the points.

Based on what you just explained about determining the coordinates of points that satisfy a given condition, let's move on to a related concept

PLZ HELP!! The question is attached!

Answers

Answer:


Step-by-step explanation:

Subtract the 680 from 960, then divide the product by 52000 to get the answer

What is the volume of the cylinder below? A. 72π units³

B. 36π units³

C. 45π units³

D. 90π units³

Answers

Answer:


Step-by-step explanation:

According to the diagram, the radius of this cyl. is 3 and the height is 4 (not 5).  The formula for the volume of a cylinder is:

V = pi*r^2*h.

Here, that volume is V = pi*3^2*4, or 36 pi cubic units.  That's Answer B.

The volume of the right cylinder is \boxed{36\pi {\text{ unit}}{{\text{s}}^3}}.

Further explanation:

The formula for the volume of the cylinder can be expressed as,

\boxed{{\text{Volume}} = \pi {r^2}h}

Here, ‘r” represents the radius of the cylinder and “h” represents the height of the cylinder.

Given:

The radius of the cylinder is {\text{3 units}} and the height of the cylinder is {\text{4 units}} and the slant height is 5{\text{ units}}

The options of the volume are given as follows.

A. {\text{72}}\pi {\text{uni}}{{\text{t}}^3}

B. 36\pi {\text{uni}}{{\text{t}}^3}

C. 45\pi {\text{uni}}{{\text{t}}^3}

D. 90\pi {\text{uni}}{{\text{t}}^3}

Explanation:

The volume of the right cylinder can be obtained as follows,

\begin{aligned}{\text{Volume}} &= \pi {r^2}h\n&= \pi* {\left( 3 \right)^2} * 4\n&= \pi * 9 * 4\n&= 36\pi\n\end{aligned}

The volume of the cylinder is 36\pi {\text{ unit}}{{\text{s}}^3}.

Option A is not correct.

Option B is correct.

Option C is not correct.

Option D is not correct.

Hence, the volume of the right cylinder is \boxed{36\pi {\text{ unit}}{{\text{s}}^3}}.

Learn more:

  1. Learn more about inverse of the functionbrainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Mensuration

Keywords: Cylinder, surface area of the cylinder, volume of the cylinder, right cylinder, 72, 36, 45, 90, height, radius depth.
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