Answer:
4metres
Step-by-step explanation:
Given the height of the trail modeled by the function h(x) = -0.1x^2 - 0.3x +2.8 , where x is the horizontal distance in kilometers
The horizontal distance occurs at the x intercept i.e at h(x) = 0
Substitute
0 = -0.1x^2 - 0.3x +2.8 ,
Multiply through by -10
0 = x^2 + 3x - 28
x^2 + 3x - 28 = 0
Factorize
x^2 + 7x - 4x - 28 = 0
x(x+7) - 4 (x+7) = 0
(x-4)(x+7) = 0
x-4 = 0 and x+7 = 0
x = 4 and -7
Since the danced cannot be negative, hence the horizontal distance of the trail is 4m
Answer:
8
Step-by-step explanation:
77+50=127
180-127=53
7x-3=53
7x=53+3
7x=56
x=56/7
x=8
Answer: I THINK ITS A
Step-by-step explanation:
Answer:
<u>30°</u>
Step-by-step explanation:
This right triangle has :
- right angle (90°)
- One angle of 60°
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Solving :
We know the angle sum of a triangle is 180°.
⇒ x + 90° + 60° = 180°
⇒ x + 150° = 180°
⇒ x = <u>30°</u>
Answer:
Step-by-step explanation:
Given is a function as 
Equating to 0 we have equation
If the function f(x) has x intercepts then the solutions are real
Let us use remainder theorem and change of signs rule
f(0) = 1>0
f(-1) = -1+3+1=3
f(-2) = -32+6+1<0
This implies there is a real root between -1 and -2.
f(1) = -1
Since f(0) and f(1) have different signs, there exists a real root between 0 and 1.
f(2) = 32-6+1>0
Since f(1) and f(2) have different signs there exists a real root between 1 and 2.
Thus there are definitely three real solutions as
one between -1 and 0, one between 0 and 1, and third between 1 and 2.
