A vertical line has an undefined slope.
vertical lines are X= something
in this case it needs to intercept 9.
so it is X=9
Answer:
Equation is: y = 0.5x² + 0.5x - 3
Explanation:
general form of the parabola is:
y = ax² + bx + c
Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.
First point that we will use is (0,-3).
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3
The equation now becomes:
y = ax² + bx - 3
The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I
The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II
Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5
Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a
b = 1.5 - 2(0.5)
b = 0.5
Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3
Hope this helps :)
Answer:
a=-8
b=-29
Step-by-step explanation:
Let's assume
first number is a
second number is b
the difference of two numbers,a and b,is 21
so, we get
we can solve for 'a'
the difference of five times a and two times b is 18
so, we get
now, we can plug 'a'
now, we can solve for b
now, we can find 'a'
Answer:
A- 0.125
B- Success of climbing mount Everest is independent of age.
Step-by-step explanation:
A.
Let x denote success in climbing Mount Everest
Let y denote the climber is at least 60 years old.
Therefore,
P(x) = 0.31
P(y) = 0.04
P( x ∩ y) = 0.005
Probability of success when the climber is at least 60 years old =
P( x ∩ y) ÷ P(y) = 0.005 ÷ 0.04 = 0.125.
B.
The success rate is independent of age as there are both success and failure rates across board on the scale of ages of climbers.
Answer:
6cm
Step-by-step explanation:
Volume of cuboid = length × breadth × height
Length = x
Breadth = 4cm
Height = 5cm
Volume = 120cm³
Volume = 4 × 5 × x
120 = 20x
Divide both sides by 20
20x/20 = 120/20
x = 6cm
I hope this was helpful, please mark as brainliest
