Answer:
multiple choice is worth 2
short response is worth 4
Step-by-step explanation:
23x + 10y = 86
28x + 5y = 76
solve by elimination
multiply the top by -1 and the bottom by 2
-23x + -10y = -86
56x + 10y = 152
add them
33x = 66
x = 2
with x = 2 plug x into one of the equations
23x + 10y = 86
23(2) + 10y = 86
46 + 10y = 86
10y = 40
y = 4
x = 2 and y = 4 so
multiple choice is worth 2
short response is worth 4
<u>We are given:</u>
An even number 'n', multiplied by the next consecutive even number is 168
<u>Solving for n:</u>
From the given statement, we can say that:
n(n+2) = 168 [<em>n multiplied by the next even number 'n+2'</em>]
n² + 2n = 168
n² + 2n - 168 = 0 [<em>subtracting 168 from both sides</em>]
We can see that we now have a quadratic equation, solving using splitting the middle term
n² + 14n - 12n - 168 = 0
n(n + 14) -12(n + 14) = 0 <em>[factoring out common terms</em>]
(n-12)(n+14) = 0
Here, we can divide both sides by either (n-12) OR (n+14)
Checking the result in both the cases:
(n + 14) = 0/(n-12) (n-12) = 0/(n+14)
n + 14 = 0 n - 12 = 0
n = -14 n = 12
Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n
Step-by-step explanation:
I think we are missing some information (angle F or B or a side length would be great).
but just the right angles are not enough to calculate specific numbers. they would depend on the angle F or e.g. the side length of AB.
without any further information F and AB can be freely changed without changing the known facts, but it changes also C, B, G
so, all I can say is C = 180 - B.
and that G = B.
Answer:
Step-by-step explanation:
hope this helps
brainliest appreciated
good luck! have a nice day!
You could use the equation y=mx+b
Find the slope of the two coordinates. I would personally suggest using stack and subtract:
(0,2) 2-5 -3 3
(2,5) -------= ------= -----
0-2 -2 2
We have the slope but we need to find the y-intercept.
y=3
--x+b
2
Plug one of the coordinates in the constructed equation above:
2=3
-- (0)+b
2
2=0+b
-0=-0
------------
b=2
We found the slope and y-intercept. Now we have our complete equation. The equation is:
y=3
--x+2
2
Have a blessed day!
