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3 years ago

8

Maggie rides a stationary bike for 2 hours and 15 minutes, 2 days a week. After 6 weeks, how many hours has she spent riding the

stationary bike?

1 answer:

Vitek1552 [10]3 years ago

7 0

Answer:

18 hours

Step-by-step explanation:

2 15

2 15

2 15

2 15

2 15

2 15

2 15

2 15

= 16 +2 = 18 hours

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If 1 candy cost 20$ what is the amount of 30 candy

lana [24]

Answer:

$600

Step-by-step explanation:

you would do 30 x 20 since each piece of candy cost $20.

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3 years ago

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What is the equation of a line that is perpendicular to −x+3y=9 and passes through the point (−3, 2) ?

vekshin1

The equation of line that is perpendicular to the line $-x+3y =9$ and passes through the point $\left({-3,2}\right)$ is $\boxed{{\mathbf{y=-3x-7}}}$ .

Further explanation:

It is given that the equation of line is $-x+3y =9$ and passes through point $\left({-3,2}\right)$ .

Rewrite the given equation $-x+3y =9$ as follows:

$\begin{aligned}-x+3y&=9\\3y&=9+x\\y&=\frac{9}{3}+\frac{1}{3}x\\y&=\frac{1}{3}x+3\\\end{aligned}$

Now, compare the obtained equation of line $y=\frac{1}{3}x+3$ with the standard equation of line $y=mx+b$ .

$\begin{aligned}m&=\frac{1}{3}\\b&=3\\\end{aligned}$

Therefore, the slope is $\frac{1}{3}$ .

It is given that both lines are perpendicular to each other so the product of slope must be equal to $-1$ .

${m_1}\cdot {m_2}=-1$ …… (1)

Substitute $\frac{1}{3}$ for ${m_1}$ in equation (1) to obtain the value of slope ${m_2}$ .

$\begin{aligned}\frac{1}{3}\cdot{m_2}&=-1\\{m_2}&=-3\\\end{aligned}$

Therefore, the slope is $-3$ .

It is given that the line passes through point $\left({-3,2}\right)$ .

The point-slope form of the equation of a line with slope $m$ passes through point $\left({{x_1},{y_1}}\right)$ is represented as follows:

$y-{y_1}=m\left({x-{x_1}}\right)$ …… (2)

Substitute $-3$ for ${x_1}$ , $2$ for ${y_1}$ and $-3$ for $m$ in equation (2) to obtain the equation of line.

$\begin{aligned}y-2&=-3\left({x-\left({-3}\right)}\right)\\y-2&=-3\left({x+3}\right)\\y&=-3x-9+2\\y&=-3x-7\\\end{aligned}$

Therefore, the equation of line is $y=-3x-7$ .

Thus, the equation of line that is perpendicular to the line $-x+3y=9$ and passes through the point $\left({-3,2}\right)$ is $\boxed{{\mathbf{y=-3x-7}}}$ .

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2. What is the value of $x$ in the equation $x-y=30$ when $y=15$ ? <u>brainly.com/question/3965451 </u>

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Answer Details:

Grade: Junior High School

Subject: Mathematics

Chapter: Coordinate Geometry

Keywords: Coordinate Geometry, linear equation, system of linear equations in two variables, variables, mathematics, equation of line, line, passes through point.

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4 years ago

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A right triangle has a length of 30 and a side with a length of 18. A side with a length of 24 is opposite angle theta. What sta

tekilochka [14]

Answer:

$\text{A. }\cos \theta = \frac{3}{5}$

Step-by-step explanation:

See attached file for complete work.

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3 years ago

One type of plant root splits 4 times while growing in the ground. The number of new roots after each split can be modeled by th

notsponge [240]

Answer:

All positive integers less than or equal to 4

Step-by-step explanation:

The domain of the function are all possible values which variable x can take.

Since x is the number of times the root splits, x can take values 1 (1 time splits), 2 (2 times splits), 3 (3 times splits), 4 (4 times splits).

The variable x cannot take negative values because it cannot split -2 times.

The variable x cannot take integer values greater than 4, because this type of plant root splits 4 times while growing in the ground.

Hence, the domain of the function f(x) is all positive integers less than or equal to 4.

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What is the fractional notation for 0.097

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0.097 is 97/1000

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