The straight line distance from the starting point is 41 miles.
<u>Explanation:</u>
Given:
Distance covered towards north, n = 9 miles
Distance covered towards east, e = 40 miles
Distance from the origin to the end, x = ?
If we imagine this, then the route forms a right angle triangle
where,
n is the height
e is the base
x is the hypotenuse
Using pythagoras theorm:
(x)² = (n)² + (e)²
(x)² = (9)² + (40)²
(x)² = 1681
x = 41 miles
Therefore, the straight line distance from the starting point is 41 miles.
Complete question:
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?
A) segment a double prime b double prime = segment ab over 2
B) segment ab = segment a double prime b double prime over 2
C) segment ab over segment a double prime b double prime = one half
D) segment a double prime b double prime over segment ab = 2
Answer:
A) segment a double prime b double prime = segment ab over 2.
It can be rewritten as:
Step-by-step explanation:
Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.
We know segment A"B" equals segment AB multiplied by the scale factor.
A"B" = AB * s.f.
Since we are given a scale factor of ½
Therefore,
The equation that explains the relationship between segment AB and segment A"B" is
Option A is correct
Answer:
B) -3/10 x -6
Step-by-step explanation:
-3/10 x -6=-3 x -6/10
When multiplying two negatives you get a positive.
Hope this helps :)
Answer: 4.86
Step-by-step explanation: Since <em>n</em> is being divide by 0.9, to get <em>n</em> by itself, we need to multiply by 0.9 on both sides of the equation.
On the right side of the equation, the 0.9's cancel and we have <em>n</em>. On the left side of the equation, we have 0.9 × 5.4 which is 4.86.
Therefore, 4.86 = n.
Answer:
7 seconds
Step-by-step explanation:
We assume h(t) represents the height above ground, so that h(t) = 0 will be the point where the ball hits the ground.
The factored form of the equation tells us ...
h(7) = -16(7 -7)(7 +2) = 0
So, the baseball will land on the ground when t=7, seven seconds after first being thrown into the air.
_____
The other value of t that makes h(t) = 0 is -2. Since we only count time after the ball is thrown, t=-2 is an extraneous solution.