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3 years ago

9

How many significant digits are there in the measurement 0.09584 kg?

1 answer:

Vesnalui [34]3 years ago

8 0

Four as zeros don't count when you're figuring out significant figures

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Write the equation of the circle below to complete the square. Also determine the area of the circle.

diamong [38]

Answer: $(x-7)^2+(y+2)^2=11^2$ ; $A=121\pi$

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

$(x-a)^2+(y-b)^2=r^2$

Begin by grouping the 'x' terms and 'y' terms:

$(x^2-14x)+(y^2+4y-68)=0$

Complete the square for the second polynomial:

$(\frac{b}{2} )^2=(\frac{4}{2} )^2=4$

$(x^2-14x)+(y^2+4y+4-4-68)=0$

$(x^2-14x)+(y^2+4y+4)-4-68=0$

$(x^2-14x)+(y^2+4y+4)-72=0$

$(x^2-14x)+(y+2)^2-72=0$

Do the exact same process with the other polynomial:

$(x^2-14x-72)+(y+2)^2=0$

Complete the square:

$(\frac{14}{2} )^2=49$

$(x^2-14x+49-49-72)+(y+2)^2=0$

$(x^2-14x+49)-49-72+(y+2)^2=0$

$(x^2-14x+49)-121+(y+2)^2=0$

$(x-7)^2-121+(y+2)^2=0$

Bring the 121 to the other side to get:

$(x-7)^2+(y+2)^2=121$

$(x-7)^2+(y+2)^2=11^2$

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

$A=\pi r^2=121\pi$

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2 years ago

Ten times the sum of half of a number and 6 is 8

Ahat [919]

$10\cdot\left(\dfrac{1}{2}x+6\right)=8\ \ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\\\\5x+60=8\ \ \ \ |subtract\ 60\ from\ both\ sides\\\\5x=-52\ \ \ \ |divide\ both\ sides\ by\ 5\\\\\boxed{x=-10.4}$

3 0

3 years ago

E) Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, wh

netineya [11]

Yes, we need the sisters age to find it the answer, not trying to be rude we just need the sisters age.

7 0

3 years ago

What number completes this sentence12/18=x/30

BartSMP [9]

Cross multiplying:-
18*x = 12*30
x = 360 / 18

x = 20 answer

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3 years ago

Solve 5x - 2 = 13.<br> Please be quick

IceJOKER [234]

Answer:

C. 3

Step-by-step explanation:

5x - 2 = 13

5x = 15

x = 15 ÷ 3

x = 3

8 0

3 years ago

Read 2 more answers