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iren [92.7K]
3 years ago
12

Find the slope-intercept equation of the line that passes through (0,4) and has a slope of 1.

Mathematics
2 answers:
rodikova [14]3 years ago
4 0

Answer:

y=1x+4 is the answer :))))

telo118 [61]3 years ago
3 0

Answer:

y = x + 4

Step-by-step explanation:

slope intercept equation: y = mx + b

m = slope

b = y-intercept(when x =0)

use the points given; (0,4) and m = 1

to find b

y = mx + b

4 = 1(0) + b

4 = b

now put your equation together.

y = 1x + 4

or y = x + 4

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What is the equation of the line that is parallel to the line y =1/3 x + 4 and passes through the point (6, 5)?
lianna [129]

Answer:

y = \frac{1}{3} x + 3

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}{3} x + 4 ← is in slope- intercept form

with slope m = \frac{1}{3}

Parallel lines have equal slopes , then

y = \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = \frac{1}{3} x + 3 ← equation of parallel line

5 0
3 years ago
Solve for x? I don't think any angle is a 90 degree angle. I didn't draw it exactly right.
Ulleksa [173]
From cosine law
c^2 = a^2 + b^2 -2abcos(C)
cos(C) = (a^2 + b^2 - c^2)/2ab
this formula will solve your problem
4 0
3 years ago
Spiral Review (4.0A.2, 4.0A.3, 4.NBT.5, 4.NBT.6) A full container of juice holds 64 fluid ounces. How many 7-fluid ounce serving
julsineya [31]
There are 9.14 servings because 64 divided by 7 eill give you 9.14 when rounded
7 0
3 years ago
Find the derivative of
Gre4nikov [31]

Answer:

<u><em>y' = 1 / sinxcosx</em></u>

Step-by-step explanation:

<u>Given :</u>

y = sinx + cosx / sinx - cosx

<u>Applying quotient rule :</u>

y' = [(sinx - cosx)(cosx - sinx) - (sinx + cosx)(cosx + sinx)] / (sinx -

cosx)²

y' = [sinxcosx - cos²x - sin²x + sinxcosx - (sinxcosx + cos²x + sin²x + sinxcosx)] / (sinx - cosx)²

y' = 2sinxcosx - 2sinxcosx - 2cos²x - 2sin²x / (sinx -cosx)²

y' = -2(sin²x + cos²x) / (sinx - cosx)²

y' = -2 / (sinx - cosx)²

y' = -2 / sin²x - 2sinxcosx + cos²x

y' = -2 / -2sinxcosx

<u><em>y' = 1 / sinxcosx</em></u>  [⇒ Final answer]

3 0
2 years ago
Read 2 more answers
What is the inverse of x-2
SCORPION-xisa [38]

Answer:

y = x + 2

Step-by-step explanation:

The expression x-2 is from the equation y = x - 2.

To find the inverse of the equation, <u>switch the "x" and "y" variables</u>, then solve  or <u>isolate for "y"</u>, meaning to separate it from the other numbers.

y = x - 2     Original equation

x = y - 2     Switched "x" and "y" variables

x + 2 = y - 2 + 2     Add 2 to both sides to cancel out '-2' on the side with "y"

x + 2 = y    

y = x + 2     Variable is on left side in standard formatting

To isolate, do the reverse operation for the number you want to get rid of.

On the side with "y", I wanted to get rid of '-2' so I could separate "y" from everything else. '+2' is the reverse operation for '-2'.

8 0
3 years ago
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