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miss Akunina [59]
3 years ago
11

What is the factored from of x^2+25

Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

(x+5)²-10x²

Step-by-step explanation:

USing the completing square method

x² +25

= (x)² +2(x)(5) +(5)² -10x²

=(x+5)²-10x²

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Need help with R3, R4, S5​
marissa [1.9K]

Answer:

R3 Theorem: If parallel lines are cut by a transversal, then alternate interior angles are congruent.

R4 Theorem: Congruence of segments is reflexive.

S5 ΔABC ≅ ΔCDA

7 0
3 years ago
Rewrite using a single positive exponent. 3-6 -5​
yarga [219]

Answer:

1 \div {3}^{( 30)}

Step-by-step explanation:

There are exponent rules I posted above that are being used here.

We have (3^-6)^-5

Since we have a power times a power, we multiply 6 and 5 to get -30. Look at the first example in the photo.

So, we're left with 3^-30.

If you look at the photo, there's a rule for negative exponents.

Take the inverse of the base number, so 3 in this case:

1 / 3

and then make the exponent positive after taking the inverse.

So, we should get 1 / 3^30

Hope this helps!

3 0
2 years ago
Please help me with number 9, also what method you used to get the equation
Sholpan [36]
The Method is that you add 1 block horizontally to the 2nd row of the figure every time you make a new one.
3 0
3 years ago
Please hurry i need this fast
andrey2020 [161]

Answer:

9

Step-by-step explanation:

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6 0
3 years ago
A typical cup of coffee contains about 100 mg of caffeine and every hour approximately 16% ofthe amount of caffeine inthe body i
Over [174]

Answer:

a) \frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

ln C = rt + k

If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

C(t) = 100 e^{-0.16 t}

Where t represent the number of hours

b) C(5) = 100 e^{-0.16*5}= 44.9329

Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

\frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

ln C = rt + k

If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

C(t) = 100 e^{-0.16 t}

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

C(5) = 100 e^{-0.16*5}= 44.9329

7 0
3 years ago
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