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Anestetic [448]
4 years ago
7

Jack spends 1 1/2 as long on his homework as Jill. Last week Jill spent 9 1/2 hours doing homework. How long did Jack spend doin

g his homework?
Mathematics
1 answer:
alina1380 [7]4 years ago
7 0
The amount of time Jill spent to do her homework 
= 9 1/2 hours. which equals to  570 minutes.

Which means, the amount of times Jack needed to do his is 
= 570 minutes x 1.5
= 855 minutes which equals to 14 1/4 hours

hope this helps
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Determine the equation of the circle with centre (-3;5) and passing through a point (2;-9)
UNO [17]

Therefore, the equation of circle is: (x+3)^{2}+(y+5)^{2} = 100

<h3><u>What is a circle?</u></h3>
  • All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
  • The radius of a circle is the separation between any point on the circle and its center.
  • The radius must typically be a positive integer. Except when otherwise specified, this article discusses circles in Euclidean geometry, namely the Euclidean plane.
  • A circle, specifically, is a straightforward closed curve that separates the plane into its inner and exterior.

Here we know that(h,k) = (-3,5)but we are not given the radius.

However, we can find the radius by using the distance formula.

\sqrt{x^{2} +y^{2} }, where x=x_{1} -x_{2} and y=y_{1} -y_{2}

Putting the values, we get:

\sqrt{8^{2} +6^{2} }

The radius comes out to be:

r=10

An equation of the circle with center (h,k) and radius r is

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

Now, substituting the values, we get:

(x--3)^{2} +(y-5)^{2} = 10^{2}

Therefore, the equation of circle is:

(x+3)^{2}+(y+5)^{2} = 100

Know more about circles with the help of the given link:

brainly.com/question/10618691

#SPJ4

7 0
2 years ago
If f (x)= x-3 and g (x)= 2x-4, find (f+g)(x)
const2013 [10]

(f∘g)(x) is equivalent to f(g(x)). We solve this problem just as we solve f(x). But since it asks us to find out f(g(x)), in f(x), each time we encounter x, we replace it with g(x).

In the above problem, f(x)=x+3.

Therefore, f(g(x))=g(x)+3.

⇒(f∘g)(x)=2x−7+3

⇒(f∘g)(x)=2x−4

Basically, write the g(x) equation where you see the x in the f(x) equation.

f∘g(x)=(g(x))+3 Replace g(x) with the equation

f∘g(x)=(2x−7)+3

f∘g(x)=2x−7+3 we just took away the parentheses

f∘g(x)=2x−4 Because the −7+3=4

This is it

g∘f(x) would be the other way around

g∘f(x)=2(x+3)−7

now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them.

g∘f(x)=2x+6−7

Next, +6−7=−1

g∘f(x)=2x−1

Its a lts easier than you think!

Hope this helped

5 0
4 years ago
HELP ME PLS I NEED THIS NOW
Lyrx [107]

r = radius

Arc length = 2(3.14)r

7.9 cm = r

Plug our values in

Arc length = 2(3.14)(7.9 cm)

Arc length = 49.6 cm

4 0
4 years ago
Do the ratios 3:2 and 54:10 form a proportion
Bas_tet [7]

Answer:

No.

Step-by-step explanation:

3/2=1.5 and 54/10=5.4.

5 0
3 years ago
Sla square field has an area of 12,382m², calculate it's side length. show your work​
shepuryov [24]

Answer:

side = 111.274........

Explanation:

area of square = side × side

means we're finding area by finding square of side.

now, we're finding side. so, we'll do the opposite of square, which means square root.

side  =  \sqrt{area}

so,

side  =  \sqrt{12382}

side = 111.274........

please mark BRAINLIEST!

3 0
2 years ago
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