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RUDIKE [14]
3 years ago
6

Find the quotient if the sum of 3/5 and 7/10 is divided by the difference between 7/12 and 3/10

Mathematics
1 answer:
Serggg [28]3 years ago
8 0

3/5 + 7/10 / 7/12 - 3/10

13/10 / (35/60 - 18/60=)17/60

10/13 x 60/17 = 78/17 = 4 10/17

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Write the equation of a parabola with a vertex and (-5, 2) and a directrix y = -1
mrs_skeptik [129]

Answer:

y=(x+5)²/6 + 1/3

Step-by-step explanation:

Use the distance formula to plug in the values you know:

√(y+1)² =√(x+5)² +( y-2)²

the square roots cancel out

(y+1) ²= (x+5)² +(y-2)²

(y+1) (y-1)= (x+5)² + (y-2) (y-2)

y²+2y+1= (x+5)² + y² -4y+4

the y² cancel out

2y+ 4y = (x+5)² + 4-1

6y= (x+5)² +3

y= (x+5)² /6+ 1/3

4 0
3 years ago
The radius r of a sphere is 6 units. Find the volume of the sphere. Write your answer in terms of . The volume is cubic units.​
kirza4 [7]

Answer:

The formula used to calculate the sphere radius is: r = ∛((3/4) · V / π) Symbols. r = Sphere radius; V = Sphere volume; π = Pi = 3.14159… Volume of Sphere. Enter the volume contained within a sphere. Radius of Sphere. This is the radius of a sphere that corresponds to the specified volume.

Step-by-step explanation:

8 0
2 years ago
Can someone help me with these two problems please?
kicyunya [14]

Answer:

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5 0
2 years ago
An atlas contains a map of Ohio. The table shows data from the key on the map.
Rashid [163]

Answer:

The answer is below

Step-by-step explanation:

a) The graph is attached

b) The table shows a linear relationship between x and y.

A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.

x represent the distance on map in mm and y represent the actual distance in mile. The table (x, y) has the points (10, 25) and (20, 50). The equation is given by:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-25=\frac{50-25}{20-10} (x-10)\\\\y-25=2.5(x-10)\\\\y-25=2.5x-25\\\\y=2.5x

The slope m = 2.5. This means that for every 1 mm on the map, the actual distance increases by 2.5 miles.

c) y = 2.5x

put x = 48 mm

y = 2.5(48)

y = 120 miles

The actual distance between Toledo and Columbus is 120 miles

d) y = 2.5x

Put y = 225 miles

225 = 2.5x

x = 225/2.5

x = 90 mm

The distance on map between Cincinnati and Cleveland is about 90 mm.

8 0
2 years ago
Hey
kobusy [5.1K]
Hi :)

Dont spazm to much :D
3 0
3 years ago
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