Answer:
6x+2
Step-by-step explanation:
The perimeter is all of the sides added together.
We know that in a rectangle, sides that are parallel to each other are the same.
So, to find the expression that represents the perimeter, you have to multiply 2x+1 by 2 and x by 2 and add both of those together.
(2*(2x+1))+(2*(x))
(4x+2)+(2x)
4x+2+2x
6x+2
Answer:
11 13 15 17 19
Step-by-step explanation:
We will solve this word problem using 2k+1 which is one of the general forms of an odd integer.
Let 2k+1 be the first odd integer.
(2k+1) + (2k+3) + (2k +5) = (2k+7) + (2k +9) + 3 (the +3 is to accommodate for the left side being 3 more than the right)
Solve for k
6k + 9 = 4k + 19
6k - 4k + 9 = 4k-4k + 19
2k + 9 = 19
2k + 9 - 9 = 19 - 9
2k = 10
2k/2 = 10/2
k = 5
To get the first digit in the series plug in 5 for k
2k+1
2(5) + 1
10 + 1 = 11
So our series is 11, 13, 15, 17, 19
Let's test it.
11 + 13 +15 = 39
17 + 19 = 36
So we are correct, the first 3 integers are 3 more that the sum of the last 2.
Answer:
D = 25
Step-by-step explanation:
For 2 lines to be parallel, they must have the same sloe;
Given the coordinates (-2,4)and (5,D)
Slope = D-4/5-(-2)
Slope = D-4/5+2
Slope = D-4/7
Given the equation y = 3x + 4, comparing to y = mx+b
mx = 3x
m = 3
Hence the slope is 3
Equating the slopes
D-4/7 = 3
D-4 = 3*7
D-4 = 21
D = 21+4
D = 25
Hence the value of D is 25
Answer:
rational
Step-by-step explanation:
because it not a repeating decimal that never ends without repeating number and can be writing in as form of fraction. 23+777=800 definitely rational
Answer:
B. x 1 3 4 5
y 50 150 200 250
Step-by-step explanation:
First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:
We can write the equation from here, since both the x-intercept and y-intercept are at the origin.
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Now, all you have to do is input each value into the function to confirm their authenticities. Once you do this, you WILL arrive at answer choice B).
I am joyous to assist you anytime.
