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3 years ago

A line with a slope of 1 passes through the point (0, 2)What is its equation in slope-intercept form?

Mathematics

1 answer:

devlian [24]3 years ago

5 0

Answer:

y=x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-2=1(x-0)

y-2=1(x)

y-2=x

y=x+2

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In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest inch.

dalvyx [7]

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

$m\angle G+m\angle H+m\angle I=180^\circ$

$30^\circ+29^\circ+m\angle I=180^\circ$

$59^\circ+m\angle I=180^\circ$

$m\angle I=180^\circ-59^\circ$

$m\angle I=121^\circ$

According to Law of sines,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

Using Law of sines, we get

$\dfrac{h}{\sin H}=\dfrac{i}{\sin I}$

$\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}$

$\dfrac{300}{0.4848}=\dfrac{i}{0.8572}$

Multiply both sides by 0.8572.

$\dfrac{300}{0.4848}\times 0.8572=i$

$530.44554=i$

$i\approx 530$

Therefore, the length of i is about 530 inches.

6 0

3 years ago

2 m 2 in 1.7 m 3 m 1 m 1 m

lana66690 [7]

21.4

it’s an equal triangle so you do
2 x 3 = 6
6 x 3 = 18
2(1 x 1.7) = 3.4
18 + 3.4 = 21.4

3 0

3 years ago

Read 2 more answers

A music store buys instruments and then sells them for 30 % more than they paid

astra-53 [7]

Daddy remember when you made my butt sore

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=3%5E%7B3%7D%20%2B%206%282%20%2B%20%5Cfrac%7B3%7D%7B6%7D%20%29" id="TexFormula1" title="3^{3} +

Drupady [299]

Answer:

Step-by-step explanation:

9+6(2+3/6)

9+6(2+1/2)

2+1/2 = 2.5

9+6(2.5)

9+15

8 0

3 years ago

The school cafeteria seats 250 students. 203 students are already seated. Write and sole an inequality that represents the addit

Nitella [24]

Answer:

An equation that represents the given situation is $203+x=250$ and the additional number of students that can be seated is 47

Step-by-step explanation:

Number of students already seated in school cafeteria = 203

Let x be the additional number of students that can be seated

So, Total number of seats available in school cafeteria = 203+x

We are given that the school cafeteria seats 250 students

So, 203+x=250

$\Rightarrow x=250-203$

$\Rightarrow x=47$

Hence an equation that represents the given situation is $203+x=250$ and the additional number of students that can be seated is 47

6 0

3 years ago