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Vlad1618 [11]
3 years ago
11

Data was collected ​

Mathematics
1 answer:
Rudiy273 years ago
3 0
Ok? what data?? i need context
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Write An algebraic expression with the constant 7 and thee variable y
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Y+7
Y is the variable and 7 is the constant.
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Prove that the statement (ab)^n=a^n * b^n is true using mathematical induction.
mamaluj [8]

Answer:

see below

Step-by-step explanation:

      (ab)^n=a^n * b^n

We need to show that it is true for n=1

assuming that it is true for n = k;

(ab)^n=a^n * b^n

( ab) ^1 = a^1 * b^1

ab = a * b

ab = ab

Then we need to show that it is true for n = ( k+1)

or (ab)^(k+1)=a^( k+1) * b^( k+1)

Starting with

  (ab)^k=a^k * b^k    given

Multiply each side by ab

ab *  (ab)^k= ab *a^k * b^k

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Therefore, the rule is true for every natural number n

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3 years ago
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PLEASE EXPLAIN BECAUSE A GIRL IS COMPLETELY LOST HERE
Afina-wow [57]

Hello!


To find the value of b, we need to use the Law of Sines. The law states,

sin A / a = sin B / b = sin C / c.


We are given these values: sin A = 55 degrees, side a = 8 cm, sin C = 82 degrees.


Since angle B is not given, we have to find it ourselves. We can find the measure of angle B by subtracting both the given angle values from 180 degrees because every triangle is equal to 180 degrees.


180 - 55 - 82 = 43 | The measure of sin B = 43 degrees.


sin (55) / 8 = sin (43) / b (multiply both sides by b)

0.10239... · b = 0.68199... (divide both sides by 0.10239...)

c = 6.6607...


The measure of side b is equal to about 6.7 centimeters.

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3 years ago
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Write the equation in point-slope form of the line that passes through the given point and has the given slope.
Setler79 [48]

Answer:

The First Option

Step-by-step explanation:

y - 7 = -1/4(x - 4)

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Determine the intercepts of the line.
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Answer:

Y intercept ( 0, -45)

X intercept ( -10, 0)

This is because the line intersects with the axis at these points.

Hope i could help! Comment if you have any questions :)

5 0
3 years ago
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