All categories

3 years ago

Find the equation of the line in slope intercept form that passes through (0,4) and is parallel to the line 4x-3y=12?

Mathematics

2 answers:

Lynna [10]3 years ago

6 0

Answer:

y=−4/3x+8

Step-by-step explanation:

y=mx+b

4x+3y=12→y=−4/3x+4

y=−4/3x+b

4)=−4/3(3)+b→b=8

y=−4/3x+8

Drupady [299]3 years ago

5 0

Answer:

y=−4/3x+8

Step-by-step explanation:

Let’s say that the parallel line takes on this form.

y=mx+b

If the line is parallel, that means that the m of the two lines are equal.

If we solve the line we were given for y, we find…

4x+3y=12→y=−4/3x+4

so, we know that our line that we’re trying to find must be of the form

y=−4/3x+b

Now we can plug in a point to fix that b part.

(4)=−43(3)+b→b=8

So, that means…

y=−4/3x+8

You might be interested in

Pleaseee helppp with thissss asapppp

Natasha2012 [34]

As we know that the standard equation of circle is ${\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}$ , where r is the radius of circle and centre at (h,k) 

Now , as the circle passes through (2,9) so it must satisfy the above equation after putting the values of h and k respectively

${:\implies \quad \sf \{2-(-1)\}^{2}+(9-5)^{2}=r^{2}}$

${:\implies \quad \sf (3)^{2}+(4)^{2}=r^{2}}$

${:\implies \quad \sf 9+16=r^{2}}$

After raising ½ power to both sides , we will get r = +5 , -5 , but as radius can never be -ve . So r = +5 

Now , putting values in our standard equation ;

${:\implies \quad \sf \{x-(-1)\}^{2}+(y-5)^{2}=(5)^{2}}$

${:\implies \quad \bf \therefore \quad \underline{\underline{(x+1)^{2}+(y-5)^{2}=25}}}$

This is the required equation of Circle

Refer to the attachment as well !

8 0

2 years ago

State what additional information is required in order to know that the triangles are congruent for the reason given. If possibl

earnstyle [38]

Answer:

XY ≅ TU

Step-by-step explanation:

SAS = side- angle- side

It requires two sides and the included angle be congruent.

Given one congruent side and one congruent adjacent angle.

In addition to what is given we need the other side be congruent too:

XY ≅ TU

8 0

3 years ago

Read 2 more answers

The answer to #2?? I already have the graph but I still need the answer

Sidana [21]

If we have

y = 6x + 1 and x - y = 11, we can take advantage of y - y = 0 as follows:
Subtract x from both sides of the 2nd equation:
-y = 11 - x

Now combine

y = 6x + 1
-y = 11 - x
--------------
0 = 5x + 12. Solving for x, x = -12/5. Using the equation above, find y:
-y = 11 - x
= 11 - (-12/5)
= 55/5 + 12/5 = 67/5

Then the solution is (-12.5, 67/5).

3 0

4 years ago

A 15-day supply of vitamins costs $1.41, what is the price in cents per day

Free_Kalibri [48]

1.41/100 = 0.0141 * 15 = 0.21

$0.21

6 0

3 years ago

Can anyone do these pls?

beks73 [17]

Answer:

NRN

Step-by-step explanation:

8 0

3 years ago