Answer:
8 and -8
Step-by-step explanation:
0-8= -8
0+8= 8
Both 8 jumps from 0
To ease your problem, consider "L" as you x-axis
Then the coordinate become:
A(- 4 , 3) and B(1 , 2) [you notice that just the y's changed]
This is a reflection problem.
Reflect point B across the river line "L" to get B', symmetric of B about L.
The coordinates of B'(1 , -1) [remember L is our new x-axis]
JOIN A to B' . AB' intersect L, say in H
We have to find the shortest way such that AH + HB = shortest.
But HB = HB' (symmetry about L) , then I can write instead of
AH + HB →→ AH + HB'. This is the shortest since the shortest distance between 2 points is the straight line and H is the point requiered
Answer:
Step-by-step explanation:
Given:
The above triangle
Required
Solve for AB in terms of a, b and angle C
Considering right angled triangle BOC where O is the point between b-x and x
From BOC, we have that:
Make h the subject:
Also, in BOC (Using Pythagoras)
Make 
the subject
Substitute 
for h
becomes
Factorize
In trigonometry:
So, we have that:
Take square roots of both sides
In triangle BOA, applying Pythagoras theorem, we have that:
Open bracket
Substitute and in
Open Bracket
Reorder
Factorize:
In trigonometry:
So, we have that:
Take square roots of both sides
Answer:
$( 51x^2 + x + 29).
Step-by-step explanation:
Amount she had left = original amount - amount spent on the gloves
= 62x^2 + x - 4 - (11x^2 - 33) (note we place the amount spent on gloves in parentheses because we have to subtract the whole amount)
Now we distribute the negative over the parentheses:
= 62x^2 + x - 4 - 11x^2 + 33 ( note - 33 becomes -33*-1 = +33)
Now simplifying like terms:
= 51x^2 + x + 29 (answer).
