Answer:
(0,6), and (18,0)
Step-by-step explanation:
2x +6y = 36
6y = -2x +36
y =(-2/6) x+ 36/6
y=(-1/3)x +6
compare this equation to y=mx+b where b is the y-intercept so the
y-intercept is a point at (0, 6)
to find the x-intercept make the equation equal to 0
(-1/3)x+6=0 subtract 6 in both sides
(-1/3)x = -6 cross multiply
-x = 3*-6
x=18 so the
x-intercept is a point at (18,0)
= 1
This means that the probability of event A or event B of happening is 1 or certainly would happen.
Answer: expression
Step-by-step explanation: An equation is a mathematical sentence that contains an equal sign. Since this problem contains no equal sign at all, it can't be an equation so it's considered an expression.
Answer:
11 hours
Step-by-step explanation:
Find how many hours the trip will take by dividing the number of miles by the rate in miles per hour:
660/60
= 11
So, the trip will take 11 hours
Answer: the diagonal is 10 units
Step-by-step explanation:
The rectangle has 2 parallel and equal sides. Each of the 4 angles in a rectangle is 90°. Therefore, the diagonal of the rectangle divides it into 2 equal right angle triangles and the diagonal represents the hypotenuse of both right triangles.
To determine the length of the diagonal of the rectangle, d, , we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 5² + (5√3)²
d² = 25 + 25×3 = 100
d = √100
d = 10 units