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Nina [5.8K]
3 years ago
15

Help exponents and scientific notation

Mathematics
1 answer:
USPshnik [31]3 years ago
5 0
If you have a whole number move the number of exponents in 10 and move left. If you have a decimal, and the 10 is negative exponent, move to the write.
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Simplify the expression. Write your answer as a power. <br> 6^10/6^4
vladimir2022 [97]

Answer:

6^6

Step-by-step explanation:

Divide the terms with the same base by subtracting their exponents.

6^10 - 4 = 6^6

8 0
3 years ago
Read 2 more answers
Given: LN⊥KM,KL≅ML Prove: ΔKLN≅ΔMLN
miss Akunina [59]

Answer:

The Proof is given below.

Step-by-step explanation:

Given:

LN⊥KM,

KL≅ML

To Prove:

ΔKLN≅ΔMLN

Proof:

In  Δ KLN and Δ MLN

KL ≅ ML     ....……….{Given i.e Hypotenuse }

LN ≅ LN     …………..{Reflexive Property}

∠ LNK ≅ ∠ LNM  ……….{ LN ⊥ KM i.e Measure of each angle is 90° given}

Δ KLN ≅ Δ MLN     ….{By Hypotenuse Leg Theorem} ....Proved

6 0
3 years ago
Write <img src="https://tex.z-dn.net/?f=%28-%20x%5E%7B2%7D%29%20-4x%2B2" id="TexFormula1" title="(- x^{2}) -4x+2" alt="(- x^{2})
marin [14]
Because the coefficient of x^2 is -1, we know that a will be -1.  Knowing that the coefficient of x is -4, we can calculate that p=2.  Thus, we have -1(x+2)^2+q is our equation.  This is equal to -x^2-4x-4+q.  As the constant term must be 2, we can then see that q is 6.

As such, we have -1(x+2)^2+6=0 as our factorization.

To solve this equation, we can use the quadratic formula.  Plugging in values, we have:

\frac{4+-2 \sqrt{6} }{-2}
which is equal to: (when the fraction is simplified)
-2+- \sqrt{6}
7 0
3 years ago
Conditional Probability Assistance?
krek1111 [17]

Let the event A=\{ Sophomore \}, B=\{ Boy \}

The the probability of the events

P(A \cap B)=\frac{5}{12+18} =\frac{1}{6}

P( B)=\frac{12}{12+18} =\frac{2}{5}

The conditional probability

P(Sophomore|Boy)=P(A|B)=\frac{P(A \cap B)}{P(B)} =\frac{1/6}{2/5} =\frac{5}{12}

5 0
3 years ago
Justify your reasoning when solving the equation: 3(x+4)=8x-18
vampirchik [111]

Answer:

6

Step-by-step explanation:

3x plus 12= 8x -18

subtract twelve on both sides:

3x= 8x- 30

minus 8x on both sides:

-5= -30

divide:6

3 0
2 years ago
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