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bezimeni [28]
3 years ago
9

Please show steps in how to solve the problem 2 1/6 - 1 5/6

Mathematics
1 answer:
IgorC [24]3 years ago
8 0

Answer: 2/6 or 1/3

Step-by-step explanation: First you want to change the two fractions to improper fractions, so 2 1/6 will become 13/6 and 1 5/6 will become 11/6.

Using those improper fractions, you subtract the numerators since the denominators are the same, so 13 - 11 is 2 for the numberator.

2/6 can be simplified into 1/3 by dividing the numerator and denominator by 2.

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Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)
Mnenie [13.5K]
One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
(x-h)^2+(y-k)^2=r^2
the center is (h,k) and the radius is r

and the distance formula is
distance between (x_1,y_1) and (x_2,y_2) is
D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}


r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle


so
(x+2)^2+(y-3)^2=18
(x-(-2))^2+(y-3)^2=(\sqrt{18})^2
(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2

the radius is 3\sqrt{2}
center is (-2,3)

find distance between (8,4) and (-2,3)

D=\sqrt{(8-(-2))^2+(4-3)^2}
D=\sqrt{(8+2)^2+(1)^2}
D=\sqrt{10^2+1}
D=\sqrt{100+1}
D=\sqrt{101}




r=3\sqrt{2}≈4.2
D=\sqrt{101}≈10.04

do r<D

(8,4) is outside the circle

6 0
3 years ago
Which property is shown? 4/5+ -<br> 4/5=0
TEA [102]
This looks like the additive inverse property, because when you add something to its negative counterpart (or its additive inverse), you get 0 as a sum.

Another example would be 2+ (-2) = 0. -2 is the additive inverse for 2.
7 0
3 years ago
MATH: Carissa needs to rent a car while on vacation. The rental company charges $19.95, plus 18 cents for each mile driven. If C
Reil [10]

The maximum number of miles she can drive is $111.388.

<h3>What is Unitary method?</h3>

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Step-by-step explanation:

The rental company charges $19.95

and, 18 cents for each mile driven.

So,

$40 - $19.95 = $20.05

Thus,  the maximum number of miles she can drive

=$20.05 / by 0.18

= 111.388

Learn more about this concept here:

brainly.com/question/27826540

#SPJ1

3 0
2 years ago
What is the equation of the line that has a slope of 4 and passes through the point (-4,3)
Lisa [10]
Y=4x+19. To check your answer you can plug in the point (-4,3) into the equation to check your answer. Y=4x+19, 3=4(-4)+19, 3=3
4 0
2 years ago
What is the answer to this question?
Fudgin [204]

Firstly, multiply both sides by S: XS=9.4K

Next, divide both sides by X, and <u>your answer will be S=\frac{9.4K}{X}</u>

8 0
3 years ago
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