Find the distance between the two points in simplest radical form. (8, – 7) and (1, -1)
1 answer:
Answer:
The distance between the two points is units
Step-by-step explanation:
Let us revise the rule of the distance between two point and
∵ We need to find the distance between the two points (8, -7) and (1, -1)
→ Let = 8 and
= 1
→ Let = -7 and
= -1
→ Substitute their values in the rule above
∴
∴
∴
∴
→ Simplify the radical
∵ 85 = 5 × 17
→ Both of them are prime numbers
∴ The simplest form of is
∴ The distance between the two points is units
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The other quantity which might be of interest is initial velocity
<h3>What is maximum height?</h3>
The maximum height of the object can be defined as the highest vertical position along its trajectory line.
The range of the projectile is also known as the horizontal displacement of the projectile. It is largely dependent on the initial velocity of the object.
If;
- v is the initial velocity
- g = acceleration due to gravity
- H = maximum height in meters
- θ = angle of the initial velocity from the horizontal plane (radians or degrees).
Maximum height of projectile is given by the formula:
From this, we can deduce that another quantity of interest is initial velocity
Thus, the other quantity which might be of interest is initial velocity
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Answer:
a) Angle XBC = 55° because corresponding angles are equal.
b) Angle BXC = 70°
Step-by-step explanation:
The image of the complete question is attached to this solution.
a) Angle XBC = 55° because....
Line XY and BD are parallel.
A straight line, AB, crosses the two parallel lines, thereby making angles AXY and XBC corresponding angles because they occupy the same relative position at points where the straight line, AB, intersects the two lines XY and BD.
Since the two lines, XY and BD, are parallel, the corresponding angles related to them are said to be equal.
b) Angle BXC
Since we have found and confirmed that angle XBC is truly 55°.
Triangle BXC is an isosceles triangle, with sides BX and XC equal, the base angles XBC and BCX are both equal.
Angle XBC = Angle BCX = 55° (base angles of an isosceles triangle are equal)
Then, the sum of angles in a triangle = 180°
Hence,
(Angle XBC) + (Angle BCX) + (Angle BXC) = 180° (sum of angles in a triangle)
55° + 55° + Angle BXC = 180°
Angle BXC = 180° - 110° = 70°
Hope this Helps!!!
Answer:
Step-by-step explanation:
Residual value the difference between the observed value of the dependent variable and the predicted value is called the residual.
Residual , , where R is the residual value, O, is the observed value, and P is the predicted value. The sum and the mean of the residuals are equal to zero.
Now, we can see that the biggest <em>magnitude </em>of the difference is of and
is at the point
. (
)
Therefore, the point farthest from the line of best fit is the one whose magnitude of residual value is the most and in this case that point is .