An axiom in Euclidean geometry states that in space, there are <u>2</u> points that <u>lie on the same line</u>.
This is called the two-point postulate. According to Euclidean geometry, in space, there are at least two points, and through these points, there exists exactly one line. This means that there is only one single line that could pass between any two points. This is a mathematical truth. It is known as an axiom because an axiom refers to a principle that is accepted as a truth without the need for proof.
Let's use our largest amount (quarter) to see how many can fit evenly into 1.74.
- 1.74/0.25 = 6.96
- The most quarters that can fit into $1.74 is 6.
---Multiply $0.25 by 6 = $1.50
---Subtract $1.50 from $1.74 = $0.24
---We need to use the rest of the coins to fill up $0.24.
Now let's use our second largest amount (dime) to see how many can fit evenly into 0.24.
- 0.24/0.10 = 2.4
- The most dimes that can fit into $0.24 is 2.
---Multiply $0.10 by 2 = $0.20
---Subtract $0.20 from $0.24 = $0.04
No nickels can fit into $0.04, because they are worth $0.05.
We can use our least amount (pennies) to fill in the $0.04 remaining.
Your answer is 6 quarters, 2 dimes, and 4 pennies.
Answer:
1.5y - 5
Step-by-step explanation:
I used the distributive approach and distributed -1/2 to the -3y and 10.
(If you try this and it's incorrect, you may just need to distribute -1/2 to the 10, creating -3y - 5.)
Answer:
The range is the output value or the y value.
You would work backwards to find the domain.
f(x) = 4x - 1 f(x) = 4x - 1
3 = 4x - 1 7 = 4x - 1
add 1 to both sides add 1 to both sides
4 = 4x 8 = 4x
divide both sides by 4 divide both sides by 4
x = 1 x = 2
f(x) = 4x - 1 f(x) = 4x - 1
11 = 4x - 1 15 = 4x - 1
add 1 to both sides add 1 to both sides
12 = 4x 16 = 4x
divide both sides by 4 divide both sides by 4
x = 3 x = 4
Domain { 1, 2, 3, 4}
Step-by-step explanation:
Hi there! I can help you with this.
6. Angle measurements:
x = 23
51 degrees
80 degrees
(2x + 3) = 49 degrees
8.
x = 30 degrees
3x = 90 degrees
2x = 60 degrees
x = 30 degrees
9.
x = 29 degrees
90 degrees
(2x - 2) = 56 degrees
(x + 5) = 34 degrees
