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3 years ago

What is y= 1/3 x - 9 written in standard form?

Mathematics

2 answers:

NISA [10]3 years ago

8 0

Answer:

Step-by-step explanation:

Aleksandr-060686 [28]3 years ago

8 0

D: x+3y=-27
Move expression to the left- hand side and change its sign
Y+1/3 x=-9
Multiply both sides of the equation by 3
3y+x=-27
Use the commutative property to reorder the terms
X+3y=-27

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What is the prime factorization of 96? 8 · 12 2 · 2 · 2 · 2 · 3 25 · 3 25 · 32

olganol [36]

96
/ \
8 • 12
/ \ / \
4 • 2 • 4 • 3
/ \ / \
2 2 2 2
96 is 2•2•2•2•2•3 or 2^5•3

8 0

3 years ago

Help please!!!!!!!!!!!

AlexFokin [52]

Angle GQK=90
GQK=GQL+LQK
90=3n+(4n-15)
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Therefore angle LQK=4(15)-15
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3 years ago

A sector with a central angle measure of \purpleD{175\degree}175°start color #7854ab, 175, degree, end color #7854ab has a radiu

Alisiya [41]

Answer: $219.94\ cm^2$

Step-by-step explanation:

Given

The central angle of a sector measures $175^{\circ}$

The radius of the circle is $r=12\ cm$

The area of the sector is given by

$\Rightarrow A=\dfrac{\theta }{360^{\circ}}\pi r^2$

Insert the values

$\Rightarrow A=\dfrac{175^{\circ}}{360^{\circ}}\cdot \pi \times 12^2\\\\\Rightarrow A=219.94\ cm^2$

8 0

3 years ago

Write 0.7 as a percent (the 7 has a line on top of it) . round to the nearest percent

Bingel [31]

I'm pretty sure the answer is C. 78%. (KEEP READING)

Because you move the decimal over to the right two times and get 70 add a percent to the end and get 70%. _
But since it is repeating it would be 77%

So if you are rounding it to the nearest number, to ones, then the answer is C. But if you are rounding to the tens then it would be D.

I personally would put C because you want the "nearest percent".

HOPE I HELPED!!!

5 0

3 years ago

1..A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 26

statuscvo [17]

Answer:

See below for answers and explanations (along with a graph attached)

Step-by-step explanation:

Part A

The amplitude of a sinusoidal function is half the distance between the maximum and the minimum. It is given to us that the distance from the highest and lowest point is 6 feet, so our amplitude is 6/2 = 3 feet

Part B

The graph's function would be in the form of $y=acos(bx+c)+d$ where $a$ is the amplitude, $\frac{2\pi}{b}$ is the period, $-\frac{c}{b}$ is the phase/horizontal shift, and $d$ is the average/midline.

We already know our amplitude of $a=3$ from part A.

Since our period is given to us as 26 seconds, then we can use the equation $\frac{2\pi}{b}=26$ to find $b$ , which happens to be $b=\frac{\pi}{13}$ .

Since the cosine function starts at its maximum and we want it to start at the average where the bottle travels up, we would need to use the cofunction identity $sin(x)=cos(x-\frac{\pi}{2})$ which shifts the cosine graph $\frac{\pi}{2}$ units to the right. This means that $c=-\frac{\pi}{2}$ , making our phase shift $-\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{13}}=6.5$ , or 6.5 feet to the right

Our average/midline would be $d=12$ as given as the average height by the problem.

Therefore, the function is $f(x)=3cos(\frac{\pi}{13}x-\frac{\pi}{2})+12$

Part C

Using our determined function from Part B, by looking at its graph, we see that the bottle will reach its lowest height of 9 feet after 19.5 seconds (see attached graph).

5 0

2 years ago

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