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Rina8888 [55]
3 years ago
15

Number 8 and 9 pls, if u answer u get brainlist rank!

Mathematics
1 answer:
mylen [45]3 years ago
8 0

Answer:

8.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

3a + b = 21

5a + b = 35

Subtract the 2 equations:

=> 2a = 14 => a = 7 => b = 21 - 3 x 7 = 0

=> The solution is  y = 7x

9.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

5a + b = 17

10a + b = 22

Subtract the 2 equations:

=> 5a = 5 => a = 1 => b = 17 - 5 x 1 = 17 - 5 = 12

=> The solution is  y = x + 12

Hope this helps!

:)

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What is the length of BD Round to one decimal place. Thanks!
Assoli18 [71]

Answer:

2.7

Step-by-step explanation:

ratios help

2.5 : 5.8 :: x : 6.2

2.5/5.8 = x/6.2

solve for x :

x = approx.   2.7

8 0
3 years ago
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Xavier is designing a display for a bulletin board that is 3.5 feet wide.He wants to place a 14-inch-wide poster in the center o
My name is Ann [436]
There would be 14 inches on both sides.

{[(3 * 12) + 6 ] -14} ÷ 2
{[ 36 + 6 ] - 14 } ÷2
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28 ÷2
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8 0
3 years ago
Y''+Y'+Y=1<br> solve ordinary differential equation
taurus [48]

Answer:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

Step-by-step explanation:

y" + y' + y = 1

This is a second order nonhomogenous differential equation with constant coefficients.

First, find the roots of the complementary solution.

y" + y' + y = 0

r² + r + 1 = 0

r = [ -1 ± √(1² − 4(1)(1)) ] / 2(1)

r = [ -1 ± √(1 − 4) ] / 2

r = -1/2 ± i√3/2

These roots are complex, so the complementary solution is:

y = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t)

Next, assume the particular solution has the form of the right hand side of the differential equation.  In this case, a constant.

y = c

Plug this into the differential equation and use undetermined coefficients to solve:

y" + y' + y = 1

0 + 0 + c = 1

c = 1

So the total solution is:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

To solve for c₁ and c₂, you need to be given initial conditions.

5 0
3 years ago
Is this correct? I used the 90/360 x 2 π (90)
slavikrds [6]

The circumference is found by multiplying the radius by pi by 2

And then the arc length would be multiplied by the fraction of the circle..

So using what you wrote is correct, but the answer you got is incorrect.

2x 3.14 x 90 = 565.2 meters

565.2 x 90/360 = 141.3 meters

8 0
3 years ago
2 1/2kg cost £2.50. How much for 1kg?
TEA [102]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Figure out what you would need to do to get from 2.5kg to 1kg

You would need to divide by 2.5

Just divide the cost by this value:

2.5/2.5 = 1

1kg would cost £1.00

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

6 0
3 years ago
Read 2 more answers
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