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3 years ago

alden walked 2 miles in 3/4 hours .kira walked 1 3/4 miles in 30 minutes? who walked at a faster rate?

Mathematics

1 answer:

MissTica3 years ago

7 0

Kira did because by the time she walked for 45 minutes, she would be above 2 miles

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PLEASE HELP! Find the distance between each pair of points. Round your answers to the nearest tenth.

strojnjashka [21]

A.
$Distance = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\\\\ = \sqrt{\left( -4 - \left( -5 \right) \right)^2 + \left( -2 - \left( -3 \right) \right)^2} \\ \\ = \sqrt{ 1 + 1} \\ \\ = \sqrt{ 2 }$

b.
$Distance = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\\\\ = \sqrt{\left( -4 - \frac{ 7 }{ 2 } \right)^2 + \left( \frac{ 5 }{ 2 } - 1 \right)^2} \\ \\= \sqrt{ \frac{ 225 }{ 4 } + \frac{ 9 }{ 4 }} \\ \\= 3 \frac{\sqrt{ 26 }}{ 2 }$

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4 years ago

Find the equation of the form y=ax²+bx+c whose graph passes through the points (1,6), (3, 20), and (−2,15).

Korolek [52]

Answer:

$c = \dfrac{25}{4}$

$b = \dfrac{-13}{8}$

$a = \dfrac{11}{8}$

Step-by-step explanation:

given ,

equation y=ax²+bx+c

passing through points (1,6), (3, 20), and (−2,15).

then these points will satisfy the equation

at (1,6)

y = a x²+b x+c

6 = a(1)² + b (1) + c

a + b + c = 6------(1)

at (3 , 20)

y = a x²+b x+c

20 = a(3)² + b (3) + c

9 a + 3 b + c = 20------(2)

at (−2,15)

y = a x²+b x+c

15 = a(-2)² + b (-2) + c

4 a -2 b + c = 15------(3)

solving equation (1),(2) and (3)

a = 6 - b - c

9 (6 - b - c)+ 3 b + c = 20

6 b + 7 c = 34-------(4)

4 (6 - b - c) -2 b + c = 15

2 b + c = 3----------(5)

on solving equation (4) and (5)

$c = \dfrac{25}{4}$

$b = \dfrac{-13}{8}$

$a = \dfrac{11}{8}$

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3 years ago

You need to choose a shipping company. Ship fast charges $2.00 per package plus $1.00 per pound. Speedy Delivery charges $3.00 p

Sholpan [36]

Ship fast equation for n packages:
2n+(1)x
where x the weight of the packages
Speedy delivery equation for the number of packages:
3n+(0.50)x

The same price happened when:
2n+(1)x = 3n+(0.50)x
x - 0.5x=3n - 2n
x = n/0.5
x = 2n
when the package weight is 2 pounds

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3 years ago

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nordsb [41]

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3 years ago

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