All categories

2 years ago

Which equation represents the line that passes through the points (6,3) and is parallel to y=1/2x+8

Mathematics

1 answer:

Dima020 [189]2 years ago

5 0

Answer:

y = $\frac{1}{2}$ x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{1}{2}$ x + 8 ← is in slope- intercept form

with slope m = $\frac{1}{2}$ , thus

y = $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute (6, 3) into the partial equation

3 = 3 + c ⇒ c = 3 - 3 = 0

y = $\frac{1}{2}$ x ← equation of parallel line

You might be interested in

A chemist examines 12 sedimentary samples for bromide concentraction. The mean bromide concentration for the sample date is 0.43

Umnica [9.8K]

Answer:

a) $z = 1.645$

b) Lower endpoint: 0.422cc/m³

Upper endpoint: 0.452 cc/m³

Step-by-step explanation:

Population is approximately normal, so we can find the normal confidence interval.

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$ . This is the critical value, the answer for a).

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.645*\frac{0.0325}{\sqrt{12}} = 0.015$

The lower end of the interval is the sample mean subtracted by M. So it is 0.437 - 0.015 = 0.422cc/m³.

The upper end of the interval is the sample mean added to M. So it is 0.437 + 0.015 = 0.452 cc/m³.

Lower endpoint: 0.422cc/m³

Upper endpoint: 0.452 cc/m³

4 0

3 years ago

Can someone please help me with this one? Oh and in the boxes I need to put a number NOT a check mark.

kari74 [83]

Grade 7 : Yes = 2 , No = 3
Grade 8 : Yes = 1 , No = 4

3 0

3 years ago

a piece of wood has a width of 5 cm and a hight of 10 cm its volume is 100 cm3 what is the length of the wood

WINSTONCH [101]

4 0

3 years ago

Read 2 more answers

If two cylinders are similar and the ratio between the altitude lengths is 2:3, what is the ratio of their volumes

hram777 [196]

Given:

ratio of altitude height = 2/3

Required:

ratio of volume

Solution:

Assuming that the only difference that the cylinders has is the height, we can solve for the ratio of the volume.

The volume of a cylinder is equal to πr²×height.

ratio of volume = πr²×2/πr²×3

We cancel the pi and the r² since we assume that the cylinders have the same radius.By cancelling, we are left with:

ratio of volume = 2/3

8 0

2 years ago

Round to the nearest hundredth 0.2189

Aleks04 [339]

Answer:

0.22

Step-by-step explanation:

4 or less let it rest, 5 or more add one more!.

8 is greater than 1 so you add one to 1 which equals 2, so your answer would be 0.22

6 0

2 years ago