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3 years ago

Question:

Mathematics

1 answer:

Flauer [41]3 years ago

8 0

17 spaces. Just jump from each space to the next until you get to (-5,-4). :) hope it helps.

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Steve's sister is 25 years old. her age is 5 years more than 4 times his age.

Virty [35]

Answer:

Steve is 5

Step-by-step explanation:

Steves sister is 25, she is 5 years more than 4 times steve is.

5 * 4 = 20 and the sister is 5 years older so,

Steve is 5

6 0

3 years ago

What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y

Gekata [30.6K]

Answer:

$y=\displaystyle-\frac{4}{3}x+22$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept
Parallel lines always have the same slope (m)

Determine the slope (m):

$y=\displaystyle-\frac{4}{3}x -1$

The slope of the given line is $\displaystyle-\frac{4}{3}$ , since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be $\displaystyle-\frac{4}{3}$ . Plug this into y=mx+b:

$y=\displaystyle-\frac{4}{3}x+b$

Determine the y-intercept (b):

$y=\displaystyle-\frac{4}{3}x+b$

To find the y-intercept, plug in the given point (6,14) and solve for b:

$14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22$

Therefore, the y-intercept of the line is 22. Plug this back into $y=\displaystyle-\frac{4}{3}x+b$ :

$y=\displaystyle-\frac{4}{3}x+22$

I hope this helps!

5 0

3 years ago

An object moves in simple harmonic motion with period 8 seconds and amplitude 6 cm. At time t = 0 seconds, its displacement d fr

Vladimir79 [104]

In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.

<h3>What is simple harmonic motion?</h3>

Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.

We have:

Amplitude A = 6 cm

Time period = 8 seconds

T = 2π/w

8 = 2π/w

w = π/4

Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.

d(0) = -6 cm at t = 0

The equation becomes:

$\rm d = 6sin(\dfrac{\pi}{4}t)-6$

Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.

Learn more about the simple harmonic motion here:

brainly.com/question/17315536

#SPJ1

4 0

2 years ago

Need helpppp ASAPPP!1!1!1!

nekit [7.7K]

To answer this question, we need to know what like terms are. Like terms are terms whose variables and exponents are the same. The coefficients can be different, though. In this case, the like terms are -a²b and 5a²b (because of the definition above.

4 0

3 years ago

What is the common ratio of the geometic sequence whose second and forth terms are 6 and 54, respectively?

Luda [366]

Answer:

Step-by-step explanation:

The n th term formula of a geometric sequence is

$a_{n}$ = a $r^{n-1}$