Answer:
Step-by-step explanation:
312 people bought balcony seats and 396 people bought ground seats.
Answer:
4.77 cm correct to the nearest hundredth.
Step-by-step explanation:
The new circumference = 19 - 4 = 15 cm.
Circumference C = π * diameter
So the diameter = C/π = 15/π = 4.7746 cm
Answer:
y = x + 1
Step-by-step explanation:
The gradient of a line can be defined by the equation:
m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript
For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):
x2 = -7, y2 = -6
Plug these values into the formula above:
m = (y-(-6)) ÷ (x-(-7))
m = (y+6) ÷ (x+7)
At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.
x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:
y = x-7 ---> The gradient (coefficient of x) is 1.
Therefore, the gradient of the other parallel line must also be 1.
This can be substituted into the previous equation to give:
1 = (y+6)÷(x+7)
x+7 = y+6
x+1 = y
Therefore, the answer is y=x+1
<h3>Given</h3>
x + 2 ≥ 6
<h3>Find</h3>
the graph for the solution
<h3>Solution</h3>
We can solve for x by subtacting 2 from both sides of the inequality.
... x + 2 -2 ≥ 6 -2
... x ≥ 4 . . . . . . . . . . simplify
The answer is read, "x is greater than or equal to 4." This means the solution is those real numbers that are to the right of 4 on the number line, and including 4 on the number line. Numbers to the left of 4 are <em>not included</em>. The inclusion of the number 4 is shown by putting a solid dot there (not an open circle).
The appropriate choice is the 3rd one.
