All categories

4 years ago

Rearrange y=1/2x+2 to make x the subject.

Mathematics

2 answers:

yarga [219]4 years ago

7 0

Subtract 2

y-2=1/2 x

Multiply by 2 to cancel out the denominator and to get 1 in front of x

2(y-2)=x

You can stop there or you can multiply out.

2y-4=x

zvonat [6]4 years ago

3 0

So to make x the subject, you need to isolate it to one side.

Firstly, subtract both sides by 2: $y-2=\frac{1}{2}x$

Next, multiply both sides by 2: $2(y-2)=x$

Lastly, distribute 2 to (y - 2) and your final answer will be $2y-4=x$ 

You might be interested in

Is P 90 degrees from the origin, Q 180 degrees from the origin, and R 270 degrees from the origin?

krek1111 [17]

Answer:

Step-by-step explanation:

(x,y)→(-x,-y) (180° about the origin)

1.p(-3,2) ,in the second quadrant

P(-2,-3) is in 4th quadrant.

in the clockwise it is rotation of 270° about the origin.

Q(-4,-5) is in 4th quadrant.

Q(4,5) is in 1st quadrant.

so it is 180° rotation in the clockwise direction.

R(1,7) is in 1st quadrant.

R(7,-1) is in 4th quadrant.

Hence it is 90° rotation about the origin in clockwise direction.

4 0

3 years ago

Write the standard form of the equation of the circle that passes through the point

AnnZ [28]

Answer:

The standard form of the equation of the circle is $x^2+y^2=1$ .

Step-by-step explanation:

A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.

The equation of a circle in standard form is

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

where r is the radius of the circle, and h, k are the coordinates of its center.

When the center of the circle coincides with the origin $h=k=0$ , so

$(x-0)^2+(y-0)^2=r^2\\x^2+y^2=r^2$

We are also told that the circle contains the point (0, 1), so we will use that information to find the radius r.

$0^2+1^2=r^2\\r^2=0^2+1^2\\r^2=1\\r=\sqrt{1}$

Therefore, the standard form of the equation of the circle is $x^2+y^2=1$ .

5 0

3 years ago

Write down and simplify the following algebraic expressions. The sum of −3x+5 and 7−4x is subtracted from 5x+17.

andriy [413]

Sum of the first two is:
-3x+5+7-4x = -7x+12
That subtracted from 5x+17:
5x+17-(-7x+12) = 12x+5

5 0

3 years ago

The proportion of brown M&M's in a milk chocolate packet is approximately 14%. Suppose a package of M&M's typically cont

marshall27 [118]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the scenario above :

A) State the random variable.

The random variable is the p opoertion of brown M&M's in a milk chocolate packet.

B.) Argue that this is a binomial experiment.

Each trial is independent for a total number of 52 trials with a set probability of success at 0.14

C) probability that 6 M&M's are brown:.

P(x) = nCx * p^x * (1-p)^(n-x)

p = 0.14 ; (1 - p) = 0.86 ; n = 52 ; x = 6

P(x = 6) = 52C6 × 0.14^6 × 0.86^46

= 20358520 × 0.00000752954 × 0.00097035078

= 0.1487

D) P(x =25)

P(x = 25) = 52C25 × 0.14^25 × 0.86^27

= 477551179875952 × 449.987958058*10^(-24) × 0.01703955245

= 0.00000000366

E) P(x = 52)

P(x = 52) = 52C52 × 0.14^52 × 0.86^0

= 1 × 3968.78758299*10^(-48) × 1

= 3968.78758299*10^(-48)

F) yes it would be unusual, because such probability is extremely low. However, if a huge or substantial number of trials such may occur

3 0

3 years ago

Tristan's pen is 2/3 foot long. His pencil is 5/12 foot long. In feet , what is the conbined length of the pen and pencil

frosja888 [35]

The unsimplified answer is 40/12ft long.

8 0

2 years ago

Read 2 more answers