Sixteen added to a number is equal to forty. Find the number.
1 answer:
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Answer:
Option D
Step-by-step explanation:
From the picture attached,
If each block of the graph is a square with the dimension of 1 unit,
Measure of leg 1 = 5 units
Measure of leg 2 = 12 units
By applying Pythagoras theorem in the right triangle given in the picture,
(Hypotenuse)²= (leg 1)² + (leg 2)²
(Hypotenuse)²= (5)² + (12)²
(Hypotenuse)²= 25 + 144
Hypotenuse = √169
Hypotenuse = 13
Therefore, length of the given line will be 13.
Option D is the answer.
Answer:
1. The correct option B.
2.The correct option A.
Step-by-step explanation:
The given function is
Where f(d) is the height of the ball at horizontal distance d.
Put f(d)=0, to find the distance where the ball touch the ground.
Quadratic formula:
Using the quadratic formula we get
Therefore the ball is in air between d=-0.146 to d=9.146.
The distance can not be negative, therefore the ball remains in the air between d=0 to d=9.146.
Therefore the correct option is B.
2.
The given equation is
.... (1)
The standard form of parabola is
.... (2)
Where, a is constant and (h,k) is vertex.
On comparing (1) and (2), we get
Since the value of a is positive, therefore it is an upward parabola. The vertex of the parabola is (1,1).
Put x=0 in the given equation.
Therefore the y-intercept is (0,2) and option A is correct.
