Answer:
the height of the arch 10 feet from the center is 24 feet
Step-by-step explanation:
An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.
Vertex at (50,25)
vertex form of the equation is
, (h,k) is the center
the parabola starts at (0,0) that is (x,y)
subtract 25 from both sides
divide both sides by 2500
the height of the arch 10 feet from the center.
center is at 50, 10 feet from the center so x=40 and x=60
y=24
the height of the arch 10 feet from the center is 24 feet
Equation is y = 4x + 5
Step-by-step explanation:
- Step 1: Find the slope of the line by m = (y2 - y1)/(x2 - x1). Here y2 = 5, y1 = 9, x1 = 1 and x2 = 0
⇒ m = (5 - 9)/(0 - 1) = 4
- Step 2: Find y-intercept, b. Since the line passes through (0, 5) b = 5
- Step 3: Write the equation in slope-intercept form
⇒ y = 4x + 5
Answer:
In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.
In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
Step-by-step explanation:
hope it helps :)))
Answer:
(-x,y)
Step-by-step explanation:
The x coordinate changes while the y stays the same when reflected across the x axis.
Answer: a=8 and b=1
Step-by-step explanation:
If x represents the paddling speed, and y represents the speed of the current.
Then Relative speed in upstream =x-y
Relative time in downstream=x-y
When she paddles upstream then distance covered by her=
⇒8=(x-y)2 or 2(x-y)=8
Thus we get, a=1
When she paddles downstream then distance covered by her=
⇒8=(x+y)1 or 1(x+y)=8
Thus we get b=1
