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svetlana [45]
3 years ago
14

How do you estimate 10.43

Mathematics
1 answer:
Veronika [31]3 years ago
6 0

Answer:

Step-by-step explanation:

Given 10.43, you can 'estimate' it only by rounding off:

10.43 to the nearest tenth is 10.4.

10.43 to the nearest whole number is 10; we drop the fraction 0.43.

1

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Tim is a handy-man, and he charges a house call fee of $30 plus $20 an hour for repairs on a home.
ladessa [460]
20 is the slope and 30 is the y-intercept
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3 years ago
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Find the equation of the circle with a diameter whose end points are (-1,-2) and (-3,2)
Sergeeva-Olga [200]

Answer:

The equation of the circle with a diameter whose end points are (-1,-2) and (-3,2) is

x^{2} +y^{2}+4x-1=0

Step-by-step explanation:

<u>Explanation:</u>-

<u>Step 1:</u>-

The equation of the circle having center and radius is

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

here center is (h,k) and radius is r

Given diameter whose end points are (-1,-2) and (-3,2)

The diameter of the circle is passing through the center of the circle

so center of the circle = midpoint of two end points

      (\frac{-1 +(-3) }{2} ,\frac{-2+2 }{2}  )

    (-2,0)

therefore center (h,k) = (-2,0)

<u>Step 2:-</u>

we have to find the radius of the circle

the radius of the circle = the distance from center to the one end point

i.e., C P = r

Given one end point is P(-3,2) and center C(-2,0)

The distance formula of two points are

\sqrt{(x_{2}-x_{1} ) ^{2}+ (y_{2}-y_{1} ) ^{2}}

r=\sqrt{{(-3)-(-1) ) ^{2}+ (2-(-2)) ^{2}}

r=\sqrt{5}

<u>Step 3</u>:-

center (h,k) = (-2,0) and

radius r=\sqrt{5}

The standard form of circle equation

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

(x-(-2))^2+(y-0)^2=\sqrt{5} ^2

on simplification is

x^{2} +y^{2}+4 x-1=0

5 0
3 years ago
Can anyone help me with this please
olga_2 [115]

Hi there!

\large\boxed{\frac{1}{4}, -\frac{3}{2}}

13y² + 10y - 3 = 5y²

Begin by moving all terms to one side:

13y² + 10y - 3 - 5y² = 0

Combine like terms:

8y² + 10y - 3 = 0

Factor using the guess-and-check method.

(4y - 1)(2y + 3) = 0

Set each factor equal to 0 to find the solutions:

4y - 1 = 0

4y = 1

y = 1/4

2y + 3 = 0

2y = -3

y = -3/2

8 0
3 years ago
Liz is a jewelry artist selling necklaces at the New Castle Farmers Market. It costs $135 to rent a table at the Farmers Market.
adelina 88 [10]

Answer:

Step-by-step explanation:

a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit

b. 50n > 135 + 4.50n

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mary wants to put a fence around her garden. the garden measures 10 ft by 6ft. if fencing costs $5,how much will the fence cost
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The total cost of the fence would be 132$.


7 0
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