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lina2011 [118]
3 years ago
6

Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice. The product of Andrew's age and Chris'

age is 66. How old is Beatrice?
Mathematics
1 answer:
stich3 [128]3 years ago
5 0

Answer:

9

Step-by-step explanation:

A = B + 2

C = B - 3

A x C = 66

A = Andrew

C = Chris

B = Beatrice

Multiply A and c together

(B + 2) x (b - 3)

b^2 - 3b + 2b - 6

b^2 -b - 6 = 66

b^2 - b - 72 = 0

factors of -72b^2 that add up to - b are -9b + 8b

b^2 + 8b -9b - 72

b (b + 8) -9(b + 8)

b = 9 or - 8

b = 9

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What is the slope of a line that is perpendicular to the line v=-1/3x-6
bija089 [108]

If you are trying to find the slope of a line that is perpendicular to another line, you would need to change the sign and change it to the fraction's reciprocal.

m = -\frac{1}{3}

Change the sign of the slope:

\frac{1}{3}

Finally, make the reciprocal of the original slope (switching the numerator and denominator):

\frac{3}{1}

Simplify:

3

Final answer:

m=3

7 0
3 years ago
What is the answer to 10 - 5 2/3 I suck at fractions
Free_Kalibri [48]
4 1/3 

Okay, I know fractions are scary, but we can do this alright?

First, you see the whole number on the side? Get that first.

10- 5 = 5

now we have 5 left and a scary fraction.  Don't panic, let's do this.  We know 1 is 3/3.  1 can be anything as long as the number on top and the number at the bottom are the same then it would be one.

So 3/3 is one then we can subtract:

3/3 -2/3 .

We subtract the top number and leave the one at the bottom the same.

3-2 = 1

Then we have 1/3.

As you took one away from the 5, it becomes a 4 and you put back the left over, 1/3.

Then you answer will be :

4  1/3
8 0
3 years ago
If tom had 100g rice how would u convert it to kg
notka56 [123]

<u>répondre:</u>

<u>bonjour</u>

<u>si tom avait 100 g de riz il va convertir 100g en kg</u>

  1. <u>Étape par Étape explication:</u>

<u>= 0,1 kg</u>

<u>bonne journée</u>

3 0
3 years ago
D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0

and has characteristic equation

r^2-16k=0\implies r=\pm4\sqrt k

which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x

This means

16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}
b(1-16k)=30\implies b=\dfrac{30}{1-16k}

and so the general solution would be

y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
8 0
3 years ago
1.) Use a property to write an equivalent expression for 12*(100-5). Which property did you use?
Jlenok [28]

1. 12*100 - 12*5

You would use the distributive property to get this equation (it is equivalent to the original one)

2. Um... There's no actual story for this problem; sorry I can't solve this problem



3 0
3 years ago
Read 2 more answers
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