Answer:
A and D
Step-by-step explanation:
Moving the line left would be moving it onto the y - axis
Therefore the solution would be any point that starts with 0
So (0, 1), (0, 2), (0, -9), etc.
Answer:
The height of the pole is 105ft,
Step-by-step explanation:
Let us call
the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is
.
The wire length
is 14 ft longer than height
, hence
.
Thus we get a right triangle with hypotenuse
, perpendicular
, and base
; therefore, the Pythagorean theorem gives

which upon expanding we get:

further simplification gives
,
which is a quadratic equation with solutions

Since the first solution
will give the triangle base length of
which is negative; therefore, we disregard it and pick the solution
.
Hence, the height of the pole is 105ft.
N+10=25-4
n+10=21
n=21-10
n=11
Answer: 3/5
Step-by-step explanation: To find the reciprocal of 1 and 2/3, we first need to convert 1 and 2/3 to an improper fraction.
To write a mixed number as an improper fraction, first multiply the denominator times the whole number, then add the numerator.
So here, we multiply the denominator, 3, times the whole number, 1, then we add the numerator. So we have (3 x 1) + 2 or 3 + 2 which is 5.
Now we put our new number over our old denominator and we get 5/3.
However, we're not done yet. We still need to find the reciprocal.
The reciprocal describes a fraction so when we're asked to find the reciprocal of 5/3, we want to switch the numerator and denominator.
So if we switch 5/3, we get the proper fraction 3/5.
Therefore, the mixed number 1 and 2/3 is equivalent to the improper fraction 5/3, and if we switch the top and bottom numbers, we get 3/5.
4200
Step-by-step explanation:
10 × 150 = 1500
18 × 150 = 2700
So
1500 + 2700 = 4200