The distance between two points is the number of units between them
The distance between the oak tree and the maple tree is 9 yards
<h3>How to determine the distance?</h3>
From the diagram, we have the following highlights:
- The distance between the maple tree and the end is yards
- The distance between the oak tree and the end is yards
The distance (d) between the oak tree and the maple tree is the difference between the above measurements.
So, we have:
Simplify the expression in the bracket
Subtract
Hence, the distance between the oak tree and the maple tree is 9 yards
Read more about distance at:
brainly.com/question/4931057
Hello!
To the value of b, or the y-intercept, we need to substitute an ordered pair/point into the given equation.
Since we are given two points, we can use those two points to find two different equations.
Remember that ordered pairs are written as (x, y).
A(-2, 4)
y = -3x + b
4 = -3(-2) + b
4 = 6 + b (subtract 6 from both sides)
-2 = b
A) Therefore, the equation of the first ordered pair is y = -3x - 2.
B(5, 2)
2 = -3(5) + b
2 = -15 + b (add 15 to both sides)
17 = b
B) The equation of the second ordered pair is y= -3x + 17.
<u>Final answers</u>:
- A) y = -3x - 2
- B) y = -3x + 17
It technally already is but if there is supposed to be a decimal where the comma is then drop a zero
Before the driver applies the brakes ( with the reaction time ):
d 1 = v0 · t = 20 m/s · 0.53 s = 10.6 m
After that:
v = v0 - a · t1
0 = 20 m/s - 7 · t1
7 · t1 = 20
t1 = 2.86 s
d 2 = v 0 · t1 - a · t1² / 2
d 2 = 20 m/s · 2.86 s - 7 m/s² · (2.86 s)²/2 = 57.2 m - 28.6 m = 28.6 m
d = d 1 + d 2 = 10.6 m + 28.6 m = 39.2 m
Answer: the stopping distance of a car is 39.2 m.
Answer:
x = (-9)
Step-by-step explanation:
From the diagram, we see that the triangle is an isosceles triangle. Since it is an isosceles triangle we know that the angles at the base of an isosceles triangle are equal to each other, so the angles that is not marked will be equal to m∠2. Since now we know that, we can make the following equation...
m∠2 + m∠2 + 84 = 180
Now we solve it and get...
2(m∠2) = 180 - 84
2(m∠2) = 96
m∠2 = 48
Now we substitute m∠2 with x + 57, and get...
m∠2 = 48
x + 57 = 48
x = 48 - 57
x = (-9)