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2 years ago

Make x the subject of the formulay = mx + b

Mathematics

2 answers:

zubka84 [21]2 years ago

6 0

Step-by-step explanation:

y=mx+c

Take c from both sides:

y-c = mx

Divide both sides by m:

(y-c) / m =x

Now swap sides to make it prettier:

x = (y-c) / m

ICE Princess25 [194]2 years ago

6 0

Step-by-step explanation:

y=mx + b

•+b will move to the other side "y" changing the +ive sign to -tive

mx=y-b

°Divide both sides by m

mx/m=y-b/m

•mx/m

m cancels m leaving only x

•other side y-b/m stays the same as there's no like term that can eliminate or join together

•Answer:x=y-b/m

$x = \frac{y - b}{m}$

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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

Simplify.

ASHA 777 [7]

Answer:

Step-by-step explanation:

The answer is 16x-20. First, you have to distribute 12 and 4 making the equation 12x-48+4x+28. Then, you combine the like terms giving you 16x-20. Hope this helped.

4 0

3 years ago

It says write an equation of the line shown and the line goes through points 4,3 and 1,-3

RUDIKE [14]

Slope of the line;
slope= $\frac{change in y}{change in x}$
Slope= $\frac{3--3}{4-1}$
Slope,m = $\frac{6}{3} =2$
y=mx+c
y=2x+c
Replacing for x and y using point (4,3)
3=2(4)+c
3=8+c
c=3-8
c=-5
y=2x-5

4 0

3 years ago

A Little help here 2!!

harina [27]

Answer:

Unit rates are expressed as a quantity of 1, such as 3 feet per second or 6 miles per hour, they are called unit rates.

In the given table shows the number of pictures taken and how much time it took.

For first camera;

Number of pictures (unit rate) per second = $\frac{15}{3} =5$ pictures.