Answer:
(1,0)
(-2,3)
(5,24)
Step-by-step explanation:
To solve this you can can just plug in the x and y values and see which work
y = x²-1
Lets test (0,1):
1 = 0²-1
1 = -1
This pair <em>does not</em> work, because 1 does not equal -1
Lets test (1,0):
0 = 1²-1
0 = 0
This <em>does</em> work, because 0 equals 0
Lets test (3,5):
5 = 3²-1
5 = 9 - 1
5 = 8
This pair <em>does not</em> work, because 5 does not equal 8
Lets test (5,24):
24 = 5²-1
24 = 25 -1
24 = 24
This pair <em>does</em> work, because 24 equals 24
Lets test (-2,3):
3 = (-2)²-1
3 = 4-1
3 = 3
This pair <em>does</em> work, because 3 equals 3
Lets test (-4,-17):
-17 = (-4)²-1
-17 = 16 - 1
-17 = 15
This pair <em>does not</em> work, because -17 does not equal 15
So the pairs that are on the graph are:
(1,0)
(-2,3)
(5,24)
Answer:
Cost of slate path using π: $980.18 (nearest cent)
Cost of slate path using π = 3.14: $979.68
Step-by-step explanation:
<u>Formula</u>
Area of a circle = πr² (where r is the radius)
First, calculate the area of the slate path by subtracting the area of the pond from the area of the larger circle.
Area of larger circle = π · 8² = 64π ft²
Area of pond (smaller circle) = π · 4² = 16π ft²
⇒ area of slate path = 64π - 16π = 48π ft²
If the cost of the slate is $6.50 per ft² then,
Cost of slate path using π:
⇒ 48π × $6.50 = $980.18 (nearest cent)
Cost of slate path using π = 3.14:
⇒ 48 × 3.14 × $6.50 = $979.68
Answer:
Step-by-step explanation:
The additive inverse of a number is that number with its sign changed.
The additive inverse of 5/8 is -5/8, so that is the value of <em>m</em>.
The sum of a number and its additive inverse is <em>zero</em>. (This is actually the definition of <em>additive inverse</em>.)
5/8 is found at 5/8 on the number line.
m is found at -5/8 on the number line.
"sum" is found at 0 on the number line.
Answer:
LM = 20
Step-by-step explanation:
Use the Sine rule to calculate the length of LM
We require to find ∠N using sum of angles in a triangle.
∠N = 180° - (53 + 44)° = 180° - 97° = 83°, then
=
( cross- m ultiply )
LM × sin44° = LN × sin83°, that is
LM × sin44° = 14 × sin83° ( divide both sides by sin44° )
LM =
= 20