<u><em>Answer:</em></u>
The slope of the line that passes through (-1, -7) and (3, 5) is 3
<u><em>Explanation:</em></u>
<u>The slope of the line is calculated using the following rule:</u>
<u>We are given the following points:</u>
(3 , 5) representing (x₁ , y₁)
(-1 , -7) representing (x₂ , y₂)
To get the slope, we will simply substitute with the givens in the above equation
<u>This is done as follows:</u>
You haven't attached the table for the second part. However, follow the same procedure. Pick two points from the table, substitute with them in the above equation and you'll get the slope
Hope this helps :)
Well, sum means addition, so I'm gonna add together 52 and 20.
52
20 +
--------
I start at the ones, and see that 2 + 0 is 2, so drop a 2 below them
52
20 +
--------
2
now, look at the tens place. we add together what we see in the tens place and put it below. 5+2 is 7, so we put that under 5 and 2.
52
20 +
------
72 we see that our final answer is 72, so the sum of 52 and 20 is 72.
Hey there!
Let's first simplify this expression using our rules of exponents.
We know that:
1)
And:
2)
Finally:
3)
One more:
4)
Now, we can simplify the top. Using our rule number 1<em />, we know we can just multiply the exponents to get 7^12. On the bottom, using our rule number 2, we know we can add out exponents to also get 7^12.
Without even simplifying the powers, we know that everything over itself if one. Therefore, in our answer choices, we're looking for everything not equal to one.
For the 7^12/7^12, we know that's what we just got so it equals one. For the 1, well, one equals one. For the next one, referring to our last rule, 4, anything to the power of 0 equals one, therefore that's also equal to one.
Now for our final answer choice. If we take another look at rule number 3, we know we have to subtract the exponent at the bottom from the one at the top because the exponents have the same base. That gives us 7^-24, and that surely does not equal one.
Therefore, your answer is:
Hope this helps!
Answer:
Step-by-step explanation:
Comment
This is an arithmetic series. It has the following givens.
a = 27 The first term
d = - 2 The difference between one term and the one behind it.
n = quite small
Tn = a + (n - 1)*d
tn = 27 - 2n + 2
tn = 29 - 2n
Desmos graphing calculator will draw this graph for you.
draw 2 curves
y = x^4 + x^3
and
y = 4x^2 + 4x
The roots are the points where the 2 curves intersect.
You can see by simple substitution that one root is zero.
x^4 + x^3 - 4x^2 - 4x = 0
f(2) = 16 + 8 - 4(4) - 4(2) = 0 so 2 is another root
f(-2) = 16 - 8 - 16 + 8 = 0 so -2 is another root
f(-1) = 1 - 1 - 4 + 4 = 0 so -1 is the other root
The answer is A
