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sergiy2304 [10]
3 years ago
13

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Mathematics
1 answer:
natita [175]3 years ago
7 0
Answer is 13/10
line up is rise
line across us run
rise over run = 13 up over 10
so 13/10

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Choose a system of equations with the same solution as the following system:
Lina20 [59]

Answer:

Option A.

Step-by-step explanation:

We are given 6x+2y =-6 ......(1) and 3x-4y=-18 .....(2)

Solving equations (1) and (2) we get

12x+3x =-30, ⇒x= -2 and from equation (1), 2y= -6-6(-2) =6, ⇒ y=3

Therefore, the solution for the given set of equations is x= -2 and y=3

A) Solving the equations 8x+4y = -4 ....... (3)and 17x+2y =-28, we get  

8x -34x = -4 -(-56) =52, ⇒-26x =52, ⇒x=-2 and from equation )(3), we get -16+4y =-4, ⇒ y=3

Therefore, the solution x=-2 and y =3 match with the original solution.

B)Solving the equations 12x + 4y = 12 ....... (4)and 21x + 2y = −36, we get  

12x -42x = 12 -(-72) =84, ⇒-30x =84, ⇒x=-84/30.

Therefore, the solution x=-84/30 does not match with the original solution.

C) Solving the equations 6x + 8y = −36 ....... (4) and 15x + 6y = −60, we get 18x -60x = -108 -(-240) =132, ⇒-42x =132, ⇒x=-132/42

Therefore, the solution x=--3  do not match with the original solution.

D) Solving the equations 6x + y = 15 ....... (5) and 15x − y = −9, we get 6x +15x = 6, ⇒21x =6, ⇒x=2/7  

Therefore, the solution x=2/7  do not match with the original solution.

Therefore, option A) will have the same solution. (Answer)

4 0
2 years ago
A ball is launched from a 682.276 meter tall platform. the equation for the ball's height h at time t seconds after launch is h(
blagie [28]

The maximum height the ball achieves before landing is 682.276 meters at t = 0.

<h3>What are maxima and minima?</h3>

Maxima and minima of a function are the extreme within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.

We have a function:

h(t) = -4.9t² + 682.276

Which represents the ball's height h at time t seconds.

To find the maximum height first find the first derivative of the function and equate it to zero

h'(t) = -9.8t = 0

t = 0

Find second derivative:

h''(t) = -9.8

At t = 0; h''(0) < 0 which means at t = 0 the function will be maximum.

Maximum height at t = 0:

h(0) = 682.276 meters

Thus, the maximum height the ball achieves before landing is 682.276 meters at t = 0.

Learn more about the maxima and minima here:

brainly.com/question/6422517

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4 0
1 year ago
Find the area please
tatuchka [14]

Answer:

D

Step-by-step explanation:

Recall that the area of a triangle is given by:

\displaystyle A = \frac{1}{2} bh

In this case, the base is <em>x</em> and the height is <em>y</em>. Hence:

\displaystyle A = \frac{1}{2} xy

We can write the following ratios:

\displaystyle \sin \alpha = \frac{x}{12} \text{ and } \cos \alpha = \frac{y}{12}

Solve for <em>x</em> and <em>y</em>:

\displaystyle x = 12\sin \alpha \text{ and } y = 12\cos \alpha

Substitute:

\displaystyle A = \frac{1}{2}\left(12\sin \alpha\right)\left(12\cos \alpha\right)

And simplify. Hence:

\displaystyle A = 72\sin \alpha \cos\alpha

In conclusion, our answer is D.

6 0
2 years ago
Which expression shows exponential growth? Check all that apply.
Zanzabum

Answer:

1.3.6

Step-by-step explanation:

i took the test its right

4 0
3 years ago
Read 2 more answers
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Klio2033 [76]

Answer:

a: 3°

b: -4°

c: -3°

d: 3°

e: -4°,-3°,0°,3°,3°

f: 7

6 0
2 years ago
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