All categories

3 years ago

Help me please I will really appreciate it

Mathematics

1 answer:

Artist 52 [7]3 years ago

6 0

Answer:

For the parallel one the gradient will stay the same, so you just need to work out the y-intercept

3=(-12)-6+c

3=12+c

c=-9

equation for parallel line y=-6x-9

Then for perpendicular the gradient is the reciprocal

so you substitute again

3=1/6(-2)+c

3=-1/3+c

c=10/3

the equation for perpendicular is y=1/6x+10/3

You might be interested in

Jody practiced a piano piece for 500 seconds bill practiced a piano piece for 8 minutes who practiced longer explain

Mrac [35]

Answer:

Jody

Step-by-step explanation:

You can either convert 500 seconds to minutes or 8 minutes to seconds to compare. I'll do both.

There is 60 seconds in a minute. To find the total minutes of 500 seconds, divide 500 by 60 → 8.3, which means that Jody practiced for 8.3 minutes.

To find the total seconds of 8 minutes, multiply 60 seconds per minute by 8 minutes → 60 * 8 = 480 seconds which means that Bill practiced for 480 seconds.

Now you can compare. Jody practiced for 500 seconds, or 8.3 minutes. Bill practiced for 480 seconds, or 8 minutes. Jody practiced longer.

7 0

2 years ago

A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s

Umnica [9.8K]

Answer:

88.51 is the minimum score needed to receive a grade of A.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73

Standard Deviation, σ = 11

We are given that the distribution of exam grades is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.0793.

$P( X \geq x) = P( z \geq \displaystyle\frac{x - 73}{11})=0.0793$

$= 1 -P( z \leq \displaystyle\frac{x - 73}{11})=0.0793$

$=P( z \leq \displaystyle\frac{x - 73}{11})=0.9207$

Calculation the value from standard normal z table, we have,

$P(z \leq 1.410) = 0.9207$

$\displaystyle\frac{x - 73}{11} = 1.410\\x =88.51$

Hence, 88.51 is the minimum score needed to receive a grade of A.

3 0

2 years ago

Angelica is five years less than double Jahiem’s age. Jahiem is 14 years old. How many years old is Angelica?

RoseWind [281]

Angelica is 23

Steps
Use the equation x=2j-5
Plug in jahiems age (14) for j and solve for c

3 0

2 years ago

Write the equation of the line with a slope of 3/7 passing through the point (9,-2) in standard or slope-point form? ...?

Musya8 [376]

$y-y_1=m(x-x_1)
\\
\\ m= \frac{3}{7} 
\\
\\(9,-2) \Rightarrow x_1=9,y_1=-2
\\
\\ y-(-2)=\frac{3}{7} (x-9)
\\
\\y+2=\frac{3}{7}x-\frac{27}{7}
\\
\\y=\frac{3}{7}x-\frac{27}{7}-2
\\
\\y=\frac{3}{7}x-\frac{41}{7}$

7 0

2 years ago

What steps do I take for this

Luden [163]

First, divide the shape into two figures ( a semicircle and a rectangle)
Then, find the are or the two shapes using the area formula for a semicircle ( $\frac{ \pi r^{2} }{2}$ ) and the are formula for a rectangle (base x height)
Finally, add the two areas together and you have your answer

7 0

3 years ago