Answer:
Length: 13.9 inches
Step-by-step explanation:
a^2 + b^2 = c^2
a = 8 and c= 16
8^2 + b^2 = 16^2
64 + b^2 = 256
b^2 = 256 - 64
b = sqrt 192
b = 13.9
Answer:
A
Step-by-step explanation:
JK is longer than JL and isn't 9 units long
Answer:
the other answer is a scam or virus they keep doing that
Step-by-step explanation:
if you already clicked on it welp hope
Answer: Choice B
a_n = 10(1/2)^(n-2) is the nth term
average rate of change = -35/3
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Explanation:
Each time x increases by 1, y is cut in half. For instance, going from (2,10) to (3,5) shows this.
If we want to go in reverse, decreasing x by 1 will double the y value. So (1,20) is another point and (0,40) is another. We'll be using (0,40) and (3,5) because we want the average rate of change from x = 0 to x = 3. I'm using x in place of n here.
Use the slope formula to find the slope of the line through (0,40) and (3,5)
m = (y2-y1)/(x2-x1)
m = (5-40)/(3-0)
m = -35/3
The negative slope means the line goes downhill as you read it from left to right. The average rate of change from n = 0 to n = 3 is -35/3
The nth term of this geometric sequence is 20(1/2)^(n-1) since 20 is the first term (corresponds to n = 1) and 1/2 is the common ratio. Your teacher has done a bit of algebraic manipulation to change the n-1 into n-2. This means the 20 has to change to 10 to counterbalance.
In other words, 20(1/2)^(n-1) is equivalent to 10(1/2)^(n-2) when n starts at n = 1.
Answer:
We conclude that The point (-2, 3) satisfies the equation y = -x+1.
Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.
Step-by-step explanation:
Given
<u>Checking option A</u>
Given the equation
y = 3x-2
substitute x = -2 and y = 3
3 = 3(-2) - 2
3 = -6 - 2
3 = -8
FALSE!
L.H.S ≠ R.H.S
Thus,
The point (-2, 3) does not satisfy the equation y = 3x-2.
<u>Checking option B</u>
Given the equation
y = -x+1
substitute x = -2 and y = 3
3 = -(-2)+1
3 = 2+1
3 = 3
TRUE!
L.H.S = R.H.S
Thus,
The point (-2, 3) satisfies the equation y = -x+1.
<u>Checking option C</u>
Given the equation
y=x-1
substitute x = -2 and y = 3
3 = -2-1
3 = -3
FALSE!
L.H.S ≠ R.H.S
Thus,
The point (-2, 3) does not satisfy the equation y=x-1.
<u>Checking option D</u>
Given the equation
y=2x+3
substitute x = -2 and y = 3
3 = 2(-2)+3
3 = -4+3
3 = -1
FALSE!
L.H.S ≠ R.H.S
Thus,
The point (-2, 3) does not satisfy the equation y=2x+3.
Conclusion:
Thus, we conclude that The point (-2, 3) satisfies the equation y = -x+1.
Hence, option B i.e. y = -x+1 is one of the equations of a system of two linear equations.
