Answer:
(7,2)
Step-by-step explanation:
x + y = 9 + 2x - 3y = 8 is really two equations, and you should show this by separating x + y = 9 from 2x - 3y = 8 through the use of a comma, or the word "and," or through writing only one equation per line.
Here you have the system of linear equations
x + y = 9
2x - 3y = 8.
Let's solve this system by elimination. Mult. the 1st eqn by 3, obtaining the system
3x + 3y = 27
2x - 3y = 8
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5x = 35, so that x = 7. Subbing 7 for x in x + y = 9, we get 7 + y = 9, indicating that y = 2.
Thus, the solution to this system of equations is (7,2).
Answer:
x=8
Explanation:
The picture tells us that the triangle is equilateral (this means that each angle is 60°). We can assume this because each side has been marked with the same line.
Because each angle is equal to 60°, this means that:
7x+4=60
Now solve for x:
7x=56
x=8
Answer: 78.5 units^2
Step-by-step explanation:
The area of the circle is equal to pi*radius^2.
The diameter is double the radius, which means the radius is 10/2 = 5.
Therefore, the area is pi*5^2 = 25pi.
We use 3.14 for pi and we get 25*3.14 = 78.5 units^2
Step-by-step explanation:
q(a) = ½a + 38
The slope of q is ½. So the perpendicular slope is -1/½ = -2.
Write h(x) in point-slope form:
h − (-7) = -2 (x − 12)
h + 7 = -2 (x − 12)
Simplify to get slope-intercept form.
h + 7 = -2x + 24
h = -2x + 17
