Answer:
See Below
Step-by-step explanation:
It's a lot easier to get a linear equation in slope-intercept form (y = mx + b, where m and b are the line's slope and y-intercept, respectively) if you want to graph it, so let's do that here.
Rewriting the given equation gives us:
5x - y = 12
-y = -5x + 12
y = 5x - 12
We see here that m = 5 and b = -12, so the line has a slope of 5 and a y-intercept of (0, -12). Using this information, we can graph the line, as shown below. Hope this helps!
Answer:
x=2
Step-by-step explanation:
First of all cross-multiply.
1/2x=1/4
(1) x (4) =1 x 2x
4=2x
After flip the equation.
2x=4
Then divide both sides by 2.
2x/2=4/2
x=2
Answer:
820
Step-by-step explanation:
If you use order of operations, you can find that 3x0 and 1x400x100x456x0 is just 0 so you just have to add 2x2 and 34x24. Which is 820
order of operations is
GEMDAS
Grouping symbols
exponents
multiplication and division (these don't have to be in order)
Addition and Subtraction (again, these don't have to be in order)
Answer: x = 8√7, y = 4√21
Explanation:
1) There are three triangles.
2) The small triangle of the right has a right angle, and the sides are the height, x and 16.
3) The small triangle of the left, has a righ angle, and the sides are the heigth, y and 12.
4) The big triangle has a right angle, and the sides are the x, y and 28.
5) Set three equations using Pytagora's theorem for the three triangles..
a) y^2 + x^2 = 28^2 = 784
b) h^2 + 12^2 = y^2
c) h^2 + 16^2 = x^2
6) Subtract b) from c)
16^2 - 12^2 = x^2 - y^2
=> x^2 - y^2 = 112
add x^2 - y^2 = 112 with the equation a)
x^2 - y^2 = 112
x^2 + y^2 = 784
----------------------
2x^2 = 112 + 784
2x^2 = 896
x^2 = 896 / 2 = 448
x = √448
x = 8√7
7) now you can use any a) to find y:
y^2 + x^2 = 784
=> y^2 = 784 - x^2
=> y^2 = 784 - 448
=> y^2 = 336
=> y = 4√21
Answer: x = 8√7, y = 4√21
