Answer:
Acute angle
Step-by-step explanation:
Given that m<C =
, to find out the type of angle angle C is, evaluate the expression given by substituting x = 13, in the expression.
m<C = 
m<C = 
m<C = 
m<C = 76°
Acute angles are less than 90°.
m<C is less than 90°, therefore it is an acute angle.
15,000 --> fifteen thousand
400 --> four hundred
00 --> zero
9 --> nine
If you put this all together it gives you fifteen thousand four hundred and nine.
ANSWER
My answer is in the photo above
Complete question:
y = 2x² + 2x - 3
x = -2 -1 0 1 2
Answer:
<u>Complete table of values</u>
x: -2 -1 0 1 2
y: 1 -3 -3 1 9
Step-by-step explanation:
Given;
y = 2x² + 2x - 3
To complete the table of values of the equation above, we substitute the value of x into the given equation and solve for y.
when, x = -2
y = 2(-2)² + 2(-2) - 3
y = 8 - 4 - 3
y = 1
when x = -1
y = 2(-1)² + 2(-1) - 3
y = 2 - 2 - 3
y = -3
when x = 0
y = 2(0)² + 2(0) - 3
y = 0 - 0 - 3
y = -3
when x = 1
y = 2(1)² + 2(1) - 3
y = 2 + 2 - 3
y = 1
when x = 2
y = 2(2)² + 2(2) - 3
y = 8 + 4 - 3
y = 9
<u>Complete table</u>
x: -2 -1 0 1 2
y: 1 -3 -3 1 9
Answer:
The sum of the arithmetic sequence is
.
Step-by-step explanation:
A sequence is a set of numbers that are in order.
In an arithmetic sequence the difference between one term and the next is a constant. In other words, we just add the same value each time infinitely.
If the first term of an arithmetic sequence is
and the common difference is d, then the nth term of the sequence is given by:

For the sequence

The pattern is continued by adding -11 to the last number each time.
An arithmetic series is the sum of an arithmetic sequence. We find the sum by adding the first,
and last term,
, divide by 2 in order to get the mean of the two values and then multiply by the number of values, <em>n</em>
<em> </em>
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The sum of the arithmetic sequence is

