Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The equation of the given line is
y = 2x - 2
Comparing with the slope intercept form,
Slope, m = 2
This means that the slope of the line that is perpendicular to it is -1/2
The given points are (-3, 5)
To determine c,
We will substitute m = -1/2, y = 5 and x = - 3 into the equation, y = mx + c
It becomes
5 = -1/2 × - 3 + c
5 = - 3/2 + c
c = 5 + 3/2
c = 13/2
The equation becomes
y = -x/2 + 13/2
4xy + 9x - 3y + z + xy
Combine Like Terms<span>
=<span><span><span><span><span><span>4x</span>y</span>+<span>9x</span></span>+<span>−<span>3y</span></span></span>+z</span>+<span>xy</span></span></span><span>
=<span><span><span><span>(<span><span><span>4x</span>y</span>+<span>xy</span></span>)</span>+<span>(<span>9x</span>)</span></span>+<span>(<span>−<span>3y</span></span>)</span></span>+<span>(z)</span></span></span><span>
=<span><span><span><span><span>5x</span>y</span>+<span>9x</span></span>+<span>−<span>3y</span></span></span>+z</span></span>
Answer <span>=<span><span><span><span><span>5x</span>y</span>+<span>9x</span></span>−<span>3y</span></span>+<span>z
I hope this helps, can I get brainliest thanks</span></span></span>
So,
9*27 + 2*31 - 28 = n
We use PEMDAS.
Multiply from left to right.
243 + 2*31 - 28 = n
243 + 62 - 28 = n
Add or subtract from left to right.
305 - 28 = n
277 = n
Answer:
about 78 years
Step-by-step explanation:
Population
y =ab^t where a is the initial population and b is 1+the percent of increase
t is in years
y = 2000000(1+.04)^t
y = 2000000(1.04)^t
Food
y = a+bt where a is the initial population and b is constant increase
t is in years
b = .5 million = 500000
y = 4000000 +500000t
We need to set these equal and solve for t to determine when food shortage will occur
2000000(1.04)^t= 4000000 +500000t
Using graphing technology, (see attached graph The y axis is in millions of years), where these two lines intersect is the year where food shortages start.
t≈78 years
