1). To multiply with like bases, add the exponents ===> 5² x 5⁵ = 5⁷
2). Same rule. e² x e⁷ = e⁹
3). Same rule, but make sure to start with like bases.
2a⁵ x 6a = (2 x 6) (a⁵ x a¹) = 12 a⁶
4). Same rule, but make sure to start with like bases.
4x² (-5)x⁶ = (4) (-5) (x² x⁶) = -20x⁸
5). To divide with like bases, subtract the denominator (divisor) exponent
from the numerator (dividend) exponent. ===> 7⁹ / 7³ = 7⁶
6). Same rule. v¹⁴ / v⁶ = v⁸
7). Same rule, but make sure to start with like bases.
15w⁷ / 5w² = (15/5) (w⁷/w²) = 3 w⁵
8). Same rule, but make sure to start with like bases.
10 m⁸ / 2m = (10/2) (m⁸ / m¹) = 5m⁷
9). Same rules. Add exponents to multiply, subtract them to divide.
( 2⁵ x 3⁷ x 4³ ) / (2¹ x 3⁵ x 4) = (2⁵ / 2¹) x (3⁷ / 3⁵) x (4³ / 4¹) = 2⁴ x 3² x 4²
10). (4¹⁵) x (-5)⁶ / (4¹² x (-5)⁴ ) = (4¹⁵/4¹²) x [ (-5)⁶/(-5)⁴ ] = 4³ x (-5)² = 4³ x 5²
11). (6⁷ x 7⁶ x 8⁵) / (6⁵ x 7⁵ x 8⁴) = (6⁷ / 6⁵) x (7⁶ / 7⁵) x (8⁵ / 8⁴)
You can finish it from here, you Crazy Unicorn you.
12). [ (-3)⁶ x 10⁵ ] / [ (-3)⁴ x 10³ ] = [ (-3)⁶ / (-3)⁴ ] x (10⁵/10³)
The last step is yours. Take it !
Answer:
y = 8x + 4
Step-by-step explanation:
y=mx+b
m=8
y = 8x + b
We just need to find b. B is where the line intersects the y- axis. On the y-axis by definition, the x-coordinate =0 but that is not helpful now...
Let's re write and try to solve for b. That means write as b = ...
y = 8x + b
b = y - (8x)
Substitute for x and y the numbers of the coordinates of the given point (3,28):
b = y - (8*x)
b = 28 - (8*3)
b = 28 - 24
b = 4
So the answer is y = 8x + 4
An explicit formula<span> designates the n</span>th<span> term of the </span>sequence<span>, as an expression of n (where n = the term's location). It defines the </span>sequence<span> as a </span>formula<span> in terms of n.</span>
Since it costs $4 to rent the first movie, and $X for each additional movie, the correct equation is y=4x+4.
The reason it's 4x instead of 5x is because the first movie costs $4, and the remaining 4 movies cost $X each.
The relationship between sides DY, PY and DP is that they form a right-angled triangle.
The value of side length DY is 8 units
Side length DY can be calculated using the following Pythagoras theorem.
So, we have:
Substitute values for DP, DY and PY
Evaluate the squares
Subtract 36 from both sides
Take square roots of both sides
Rewrite as:
Hence, the value of side length DY is 8 units
Read more about Pythagoras theorems at:
brainly.com/question/654982
