Answer:
y - 1 =
(x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m =
= 
and using (a, b) = (3, 1 ) , then
y - 1 =
(x - 3)
Every triangle have three angles that add up to 180°. With this information, we can find out the missing angle.
The sum of three angles should add up to 180°.
148° + 11° + K = 180°
Where k is the missing angle.
Solve for K.
Combine like terms.
148° + 11° + K = 180°
159° + K = 180°
Subtract both sides by 159°.
159° + K = 180°
159° - 159° + K = 180° - 159°
K = 21°
So, the missing length is 21°.
So the formula for a volume of a sphere is 4/3 times pi times the radius cubed.
step one: 4/3 times 3.14 = 4.18666666667
Step two: then you cube 8.5 and get 592.45
the final answer is 2,480.3906
Answer:
Subtract the two diameters and multiply by 0.5
Step-by-step explanation:
Calculating the Radius of the hole gives distance to the inner edges WHILE the Radius of the coin gives us the distance to the outer edges.
By subtracting the output we can then get the difference between both distances.
If hole diameter = 5mm and coin diameter = 22mm
Difference = [(22 - 5)mm] ÷ 2
17mm / 2 = 8.5mm
Answer:
<em>summation of five times negative three to the power of n from n equals zero to infinity</em>
Step-by-step explanation:
<u>Summation Notation
</u>
It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:
5-15+45-135+...
If we take 5 as a common factor, we have
5(1-3+9-27+...)
The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1
The summation is then represented by

This corresponds with the option:
<u>summation of five times negative three to the power of n from n equals zero to infinity</u>