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grandymaker [24]

3 years ago

5

How many people can lift a 30g stone?

1 answer:

katen-ka-za [31]3 years ago

8 0

One person. A 30 gram stone is very light.

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X-9=-5x+9 solve for X

Fofino [41]

X-9 = -5x+ 9
x + 5x = 9 + 9
6x = 18
x = 3

6 0

3 years ago

Which choice is a correct equation for the graph shown below?

Doss [256]

Answer:

C

Step-by-step explanation:

y = mx +b The b is where the graph crosses the y axis. If you look a the graph it is crossing at 5. The m is the slope. It is the change in y over the change in x. If you start at 5 and go up10 and over 1, you will be on the line. So our slope is 10/1 which is just 10

5 0

2 years ago

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Find the area of the shaded sector. Leave your answer in terms of π.

bearhunter [10]

Answer:

d=10m

r=10/2=5m

The Area is:

(πr^{2}) /2

(π5^2) / 2

=25π/2

=12.5π

8 0

3 years ago

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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

The product of two consecutive negative even integers is 24. What is the smaller of the two numbers?

Karo-lina-s [1.5K]

Answer:

The smaller one is -6, the bigger one is -4.

Step-by-step explanation:

3 0

3 years ago

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