(y - 5)/3 = 1
y - 5 = 3 x 1 = 3
y = 3 + 5 = 8
6x + 29 = 5
6x = 5 - 29 = -24
x = -24/6 = -4
Answer:
25.12 meters
Step-by-step explanation:
The circumference of a circle is given by
(1)
where:

r is the radius of the circle
In this problem, the parachute has a diameter of 8 meters:
d = 8 m
The radius of a circle is equal to half of its diameter, so the radius of the parachute is:

And therefore, by applying eq.(1) we can find the circumference of the circle:

Answer:
<u>JM </u><u> </u><u> </u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>.</u><u>?</u><u>?</u><u>?</u><u>?</u><u>?</u><u>?</u><u>?</u>
The ladder leaning against the wall forms a right angled triangle with the gound and the wall. So we can use the formula:a² + b² = c²The ladder is the hypotenuse c²The vertical leg is b²The base or horizontal leg is a²We need to find the length of the base a², so:a² = c² - b²a² = 5² - 4²a² = 25 - 16a² = 9a = √9a = 3<span>Therefore the bottom of the ladder must be 3 feet from the wall.
Example:
</span>If the 24 foot ladder is leaned on the house with the bottom 8 feet from the base the wall of the house, then it will form a right angled triangle.The base of the triangle will be 8 feet while the 24 foot ladder forms the hypotenuse. We need to find out the height from the base of that wall to the point the ladder touches the wall.Let the hypotenuse be CLet the base be BLet the height be AWe use this formula: A squared + B squared = C squaredA sq + 8 sq = 24 sqA sq + 64 = 576A sq = 576 - 64A sq = 512A = Square root 512A = 22.6To the nearest 10th this will be 23<span>So the answer is 23 feet.</span>
Answer:
Direction: Opens Up
Vertex:
(
4
,
−
18
)
(4,-18)
Focus:
(
4
,
−
71
4
)
(4,-714)
Axis of Symmetry:
x
=
4
x=4
Directrix:
y
=
−
73
4
y=-734
Select a few
x
x values, and plug them into the equation to find the corresponding
y
y values. The
x
x values should be selected around the vertex.x
y
2
−
14
3
−
17
4
−
18
5
−
17
6
−
14
xy2-143-174-185-176-14
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
4
,
−
18
)
(4,-18)
Focus:
(
4
,
−
71
4
)
(4,-714)
Axis of Symmetry:
x
=
4
x=4
Directrix:
y
=
−
73
4
y=-734
x
y
2
−
14
3
−
17
4
−
18
5
−
17
6
−
14
xy2-143-174-185-176-14
image of graph