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2 years ago

Find the distance between the points (a, 0) and (0, b).

Mathematics

1 answer:

katrin [286]2 years ago

7 0

The answer is c because the a and b work together to combined a like for

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

irga5000 [103]

Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

$y = -16x^2 + 177x + 98$

It hits the ground when $y = 0$ , so we have to find x for which $y = 0$ , which is a quadratic equation.

Finding the roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$y = -16x^2 + 177x + 98$

$-16x^2 + 177x + 98 = 0$

$a = -16, b = 177, c = 98$

$\bigtriangleup = 177^{2} - 4(-16)(98) = 37601$

$x_{1} = \frac{-177 + \sqrt{37601}}{2*(-16)} = -0.53$

$x_{2} = \frac{-177 - \sqrt{37601}}{2*(-16)} = 11.59$

Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.

4 0

3 years ago

State if the two triangles are congruent. If they are state how you know.<br> Help me

deff fn [24]

Answer:

i think its the last option.

Step-by-step explanation:

its not the first one because they it can be proved using AAS (but that option isnt available)

You can't prove it with SSS or ASA without more info

AAA doesn't exist

theirfore it must be the last option.

3 0

1 year ago

Read 2 more answers

Unit rates can be helpful with creating a ratio table and plotting the equivalent ratios on a coordinate plane. Explain why. PLE

uysha [10]

Answer:

Unit rate is often a useful means for comparing ratios and their associated rates when measured in different units. The unit rate allows us to compare varying sizes of quantities by examining the number of units of one quantity per one unit of the second quantity. This value of the ratio is the unit rate.

3 0

2 years ago

Please help, please help

zmey [24]

Answers:
x=22
x+4=26
6x=132

Explanation:
We learned from the question that all of the angles in a triangle add up to 180 degrees.

180=angle+angle+angle

When we plug in the values that the question gives us for the angles, we get this equation:

180=x+6x+(x+4)

After solving this equation, we get 22 as the value of x (The process of solving that equation is in the picture attached).

To solve for (x+4), we plug in the value of x, which is 22 and add 4.

(x+4)
=(22+4)
=26

And finally, to solve for 6x, we plug in 22 again:

6x
=6*22
=132

Hope this helps!