Answer:
406
Step-by-step explanation:
let the 5 consecutive positive integers be
n , n + 1 , n + 2 , n + 3 , n + 4 , then
n + n + 1 + n + 2 + n + 3 + n + 4 = 2020
5n + 10 = 2020 ( subtract 10 from both sides )
5n = 2010 ( divide both sides by 5 )
n = 402
then
largest integer = n + 4 = 402 + 4 = 406
Answer:
y -1 = 6(x +4)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h)
for a line with slope m through point (h, k). You have m=6, (h, k) = (-4, 1), so your equation is ...
y -1 = 6(x -(-4))
This simplifies to ...
y -1 = 6(x +4)
Answer:
Step-by-step explanation:
if there are two numbers a and b.then
1. a+b=b+a ,commutative under addition.
2. ab=ba,commutative under multiplication.
If there are three numbers a,b,c then
1. a+(b+c)=(a+b)+c,associative under addition.
2.
a×(b×c)=(a×b)×c ,associative under multiplication.
<h3>
Answer: 7 cm</h3>
===========================================================
Explanation:
x = side length of the original square (measured in cm).
One side increases by 8 cm to go from x to x+8. At the same time, an adjacent side decreases from x to x-2 (aka it decreases by 2 cm).
The x by x square turns into a x+8 by x-2 rectangle.
L = x+8 = length
W = x-2 = width
P = perimeter of rectangle
P = 2(L+W)
P = 2(x+8+x-2)
P = 2(2x+6)
P = 4x+12
The perimeter of this rectangle is 4x+12, which is set equal to the stated perimeter 40 cm. We'll use this to solve for x.
P = 40
4x+12 = 40
4x = 40-12
4x = 28
x = 28/4
x = 7
The square originally had side lengths of 7 cm.
Increasing this by 8 cm gets us x+8 = 7+8 = 15 cm. So L = 15.
Also, W = x-2 = 7-2 = 5 cm is the width.
Then note how P = 2(L+W) = 2(15+5) = 40 to help confirm the answer.
TRUE STORY
My friend: so how u be--
Me: has a seizure
Her: takes a video laughing
Me: almost dying
Her: not giving a poop
Me: finally Get air back in my lounge
Her: saw it bussin bussin sara
Me: dies all over agian
Hope this was funny -_-