14x + 10y = 72
14x + 4y = 96
6y = -24
6 6
y = -4
14x + 10y = 72
14x + 10(-4) = 72
14x - 40 = 72
+ 40 + 40
14x = 112
14 14
x = 8
(x, y) = (8, -4)
Neither one will ever hit the axis I think? if its x=3.5 then its horizontal but its above the x axis. Same with the second one. its vertical and will never hit the y axis. Not sure how to write that into those boxes but I think there isn't an intercept.
Answer:
y = 9.8995
Step-by-step explanation:
This question requires the use of basic trigonometry.
In this problem, we know one of the sides and two of the angles.
Since one of the angles is 45 degrees and the sum of all internal angles of a triangle is 180 degrees, the other angle can only be 45 degrees, making this an isosceles triangle - that is, the length of the other leg, x, is also 7.
You could use the soh cah toa mnemonic to figure it out, but here just using the a^2 + b^2 = c^2 should be sufficient since we know both legs of the triangle.
7^2 + 7^2 = 98, and the square root of 98 gives you about 9.8995, which sounds about right for this situation.
Hope this helped!
Answer:
The answer would be 35/12 or 2 and 3/4
Step-by-step explanation:
First we need to convert the fractions, so that they have the same denominator. A common denominator is 12. So, we mulitply 4 by 3 (because 4 X 3 = 12) and we do the same thing for 9. This makes the fraction 27/12. Now we mulitply 2/3 by 4 (because 3 X 4 = 12) and we also multiply 4 by 2 which gives us 8/12. Add 27/12 + 8/12 and you get 35/12 which can be simplified to 2 and 3/4.
