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fiasKO [112]
3 years ago
15

What equation in slope-intercept form represents the line that passes through

Mathematics
1 answer:
gregori [183]3 years ago
3 0

Answer:

So, equation in slope-intercept form that represents the line that passes through  the points (1,3) and (2,5) is y=2x+1

Step-by-step explanation:

We need to write equation in slope intercept form that represents the line that passes through  the points (1,3) and (2,5)

The standard equation of slope-intercept form is: y= mx+b

where m is the slope of the lines and b is the y-intercept.

To make the equation we need to find slope (m) and y-intercept (b)

Find Slope

The formula to find slope m is: m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

We have x_{1}=1, x_{2}=2, y_{1}=3\ and \ y_{2}=5

Putting values in the formula to find slope

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\m=\frac{5-3}{2-1}\\m=\frac{2}{1}\\m=2

So, value of slope m is m=2

Find y-intercept

Using formula of slope-intercept formula we can find b

y=mx+b

Using point (1,3) (where x=1 ,y=3) and slope m=2

3=2(1)+b\\3=2+b\\b=3-2\\b=1

So, value of y-intercept b is: b=1

Required equation in Slope Intercept Form

We have slope m = 2 and y-intercept b=1

y=mx+b\\y=2x+1

So, equation in slope-intercept form that represents the line that passes through  the points (1,3) and (2,5) is y=2x+1

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A cylinder has a volume of 175 cubic units and a height of 7 units. The diameter of the cylinder is
VashaNatasha [74]
The answer is <span>10 units
</span>
The diameter of the cylinder (d) is the twice of its radius (r): d = 2r

The volume (V) of the cylinder with radius r and height h is:
V = π r² h

We have:
d = 2r
r = ?
h = 7
π = 3.14
V = 175π

175π = π * r² * 7
175 = r² * 7
r² = 175/7
r² = 25
r = √25
r = 5


d = 2r
d = 2 * 5
d = 10
3 0
3 years ago
Read 2 more answers
Solve ABC <br>c=10, B=35°, C=65%​
NISA [10]

Answer:

Part 1) The measure of angle A is A=80\°

Part 2) The length side of a is equal to a=10.9\ units

Part 3) The length side of b is equal to b=6.3\ units

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

A+B+C=180\°

substitute the given values

A+35\°+65\°=180\°

A+100\°=180\°

A=180\°-100\°=80\°

step 2

Find the length of side a

Applying the law of sines

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute the given values

\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}

a=\frac{10}{sin(65\°)}(sin(80\°))

a=10.9\ units

step 3

Find the length of side b

Applying the law of sines

\frac{b}{sin(B)}=\frac{c}{sin(C)}

substitute the given values

\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}

b=\frac{10}{sin(65\°)}(sin(35\°))

b=6.3\ units

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3 years ago
Free points, solve 4b+5b=8b-1+3b+15?​
vazorg [7]

Answer: Hi!

First, we should combine like terms:

4b + 5b = 8b − 1 +3b + 15 =

9b = 11b + 14

Now, we should subtract 11b from both sides.

-2b = 14

Now, we should divide both sides by -2.

b = -7

Hope this helps!

6 0
3 years ago
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Answer:

2/3

Step-by-step explanation:

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Find the measure of y in the drawing.<br><br> 51°<br> 129°<br> 61°<br> 139°
snow_lady [41]

Answer:

B) y = 129º

Step-by-step explanation:

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