Everything you're posting involves right triangles, and
each one is solved with the Pythagorean formula:
(one leg)² + (other leg)² = (hypotenuse)²
For the tree . . .
Do you see the right triangle ?
They even marked a little box at the base of the stump
to remind you that there's a right angle there.
-- The stump is 3 meters high.
-- The broken part of the tree is on the ground
13 meters away from the stump.
-- The broken part of the tree is the hypotenuse.
(3)² + (13)² = (broken part)²
-- Before it fell over, the broken part stood on top of the 3-meter stump.
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#4). Your coordinates for point 'G' are correct, but
the coordinates of point 'F' should be (-1, 6), not (1,6).
If you know how to calculate the distance between 2 points,
then that little correction might fix the problem you're having.
The distance between two points is
Square root of [ (x₁-x₂)² + (y₁-y₂)² ]
or
Square root of [ (difference of the x's)² + (difference of the y's)² ] .
Without even using this formula, you could just look at
the graph, and do something like this:
-- From 'F', draw a line 2 units straight down.
-- From 'G', draw a line 4 units to the left.
-- Connect 'F' and 'G' .
Now you have a little right triangle.
The legs are 2 units and 4 units.
The hypotenuse is the distance between 'F' and 'G'.
(2)² + (4)² = (that distance)²
In order to do this sum (without using a calculator) you must find the lowest common multiple of 5 and 4. It is 20. This means that the bottom part of both fractions must become 20. /20 + /20. For the top half, you must multiply the original top halves by what you multiplied the bottom halves. 1 X 4 = 4. 3 X 5 = 15. The question now becomes: 4/20 + 15/ 20. The answer is 19/ 20
Answer:
y=C+a
Step-by-step explanation:
Add a to both sides
C+a=y
Answer:
x = 4
Step-by-step explanation:
Solve for x:
x - 12 + 18 = 10
Hint: | Group like terms in x - 12 + 18.
Grouping like terms, x - 12 + 18 = x + (18 - 12):
x + (18 - 12) = 10
Hint: | Evaluate 18 - 12.
18 - 12 = 6:
x + 6 = 10
Hint: | Isolate terms with x to the left hand side.
Subtract 6 from both sides:
x + (6 - 6) = 10 - 6
Hint: | Look for the difference of two identical terms.
6 - 6 = 0:
x = 10 - 6
Hint: | Evaluate 10 - 6.
10 - 6 = 4:
Answer: x = 4
Answer:
It decreases by 4 units
Step-by-step explanation:
