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3 years ago

−2x+12y=18? enter your answer in the box (_,0)

Mathematics

1 answer:

KengaRu [80]3 years ago

3 0

Answer:

The answer is x = -9. (-9,0)

Step-by-step explanation:

first put the equation into standard slope intercept form

$y = mx + b$

$12y = 2x + 18$

The problem says the pair is (_,0). so we substitute 0 for y.

$12(0) = 2x + 18$

$0 = 2x + 18$

solve for x

$- 18 = 2x$

$x = - \frac{18}{2}$

$x = - 9$

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The area of the sector formed by the 110 degree central angle is 40 units squared what is the radius

olga2289 [7]

We know that
area of the circle=pi*r²

if 360° (full circle) has an area of-------------> pi*r²
110°------------------------------> 40 units²
pi*r²=40*360/110--------> pi*r²=130.91------> r²=130.91/pi-----> r²=41.69
r=6.46 units

the answer is
the radius is 6.46 units

7 0

2 years ago

The length of a rectangle is 6 more than twice the width. if the area is 40 cm^2, find the length and breadth of the rectangle

ra1l [238]

Answer: 3.217 & 12.434

Step-by-step explanation:

If we use w to represent the width, the length will be 6 more than 2 times w.

Hence, the length is $2w+6$ .

The area of a rectangle would be its length times its width, so let's make an equation to represent it's area.

$A=w(2w+6)$

We can also substitute 40 in for A as it's given in the question.

$40 = w(2w+6)$

Distributing w by multiplying it by both terms in the parentheses, we get

$40 = 2w^2+6w$

We can make the equation simpler by dividing both sides by 2.

$20 = w^2+3w$

Subtracting both sides by 20 will make the left-hand side 0.

$0=w^2+3w-20$

Now that we have put this quadratic equation into standard form (ax²+bx+c), we can find its solutions using the quadratic formula.

For reference, the quadratic formula is

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a is 1, b is 3, and c is -20.

Substituting, we get

$w=\frac{-3\pm\sqrt{3^2-4(1)(-20)}}{2(1)}$

$w= \frac{-3\pm\sqrt{9+80}}{2}$

$w=\frac{-3+\sqrt{89}}{2}\hspace{0.1cm}or\hspace{0.1cm}\frac{-3-\sqrt{89}}{2}$

Since the second solution results in a negative number, it cannot be the length of w.

$w=\frac{-3+\sqrt{89}}{2}\approx3.217$

The width/breadth of the rectangle is 3.217 cm.

To calculate the length, let's substitute the width into the expression for the length:

$l=2(3.217)+6$

$l=12.434$

The length of this rectangle is 12.434 cm.

6 0

1 year ago

A=5 btw Please help btw I’m in 7th Grade

AlexFokin [52]

Answer:

1. a =3(2a) +5 and a= 6a+5

2. 47=3(2times 7) +5 and 47 =6 time 7 plus 5

Step-by-step explanation:

5 0

2 years ago

What is the answer for number 10?

barxatty [35]

Answer is a to the question

4 0

2 years ago

Read 2 more answers

Solve for x. Brainliest if you show your work.

Zigmanuir [339]

You can only solve this by having the same base on each side. So to change 1/27, you can use 3^-3, which is then multiplied through. So the equation is:

4x-5=-3(2x+10)
4x-5=-6x-30
10x=-25
x=-2.5

6 0

3 years ago