ABC is an isosceles triangle so AB = AC
Plug in
8x - 4 = 5x + 11
3x = 15
x = 5
BC = 4x - 2 = 4(5) - 2 = 20 - 2 = 18
Answer
BC = 18 units
Answer:
y = -4x +10
Slope = -4
Step-by-step explanation:
Slope intercept form =
Divide both sides of the equation by 2
Simplify
In y= mx+b , m is the slope and the coefficient of x
Answer:
Pick up point is 1.43 km from the school and drop point is 3.57 km from the school ( to the nearest hundredth).
Step-by-step explanation:
School <----------- 5 km ---------------> Home
_______ P _______ D _______
x km y km 5-x-y km
_______
y
_________________
5-x km
D is the point where Peter drops off N and P is the pick point x km from the school where Peter picks up R. He travels back y km to pick up R.
We work in times:
Time = distance / speed
The time that R walks from the school to point P is the same as Peter travels the distance (x + 2y) km, so we have
x/5 = (x + 2y)/20
20x = 5x + 10y
15x - 10y = 0 A
The time that N walks home equals the time that Peter travels y + 5 - x km.
So (y + 5 - x)/20 = (5 - x - y)/5
5y + 25 - 5x = 100 - 20x - 20y
15x + 25y = 75
3x + 5y = 15 B
Solving equation A and B
15x - 10y = 0
3x + 5y = 15
Multiply the second equation by 2:
6x + 10y = 30
Adding this to the first equation
21x = 30
x = 30/21 = 1.4285
So 3(1.4285) + 5y = 15
y = 2.1428
Pick up x = 1.43 km
and the drop is 1.43 + 2.14 = 3,57 km from the school
The horizontal and the vertical components of the vector are -8.86 and -1.566 respectively.
<h3>What is a vector?</h3>
A vector is a quantity that has both magnitude and direction.
To calculate the horizontal components of the vector, we use the formula below.
Formula:
- Vx = Vcos∅............ Equation 1
Given:
Substitute into equation 1
- Vx = 9cos190°
- Vx = 9×(-0.9848)
- Vx = -8.86
Also, to find the vertical component of the vector, we use the formula below
- Vy = Vsin∅............. Equation 2
Also, substitute these values above into equation 2
- Vy = 9sin190°
- Vy = 9×(-0.174)
- Vy = -1.566
Hence, the horizontal and the vertical components of the vector are -8.86 and -1.566 respectively.
Learn more about vectors here: brainly.com/question/25705666
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Answer:
Step-by-step explanation:
Product of b and 2 = 2b
According to the given description: