To find the distance between two coordinates on a graph, use the Distance Formula: D = √((x₁ - x₂)² + (y₁ - y₂)²).
Our values for x₁, x₂, y₁, and y₂ will be replaced with the x- and y-values in the given coordinates, (5, 6) and (-4, -7).
Substitute.
√((x₁ - x₂)² + (y₁ - y₂)²)
√((-4 - 5)² + (-7 - 6)²)
Subtract.
√(-9² + (-13)²)
Square.
√(81 + 169)
Add.
√(250)
Simplify.
√(5² · 5 · 2)
√(5²)√(2 · 5)
5√(10) or approx 15.8114
Answer:
B. 15.81 units
There are 8 possible outcomes for a marble being drawn and numbered.
{1,2,3,4,5,6,7,8}
There are 4 possible outcomes for a card being selected from a standard deck.
{ <span>hearts, diamonds, clubs, spades}
So the number of outcomes in the sample space would be 8 x 4 = 32.
In the event "an even number is drawn", there are only 4 possible outcomes for a marble being drawn, {2,4,6,8}, whereas there are still 4 possible outcomes for a suit. So the number of outcomes in the event is 4 x 4 = 16.
</span><span>In the event "a number more than 2 is drawn and a red card is drawn", there are 6 possible outcomes for the marble being drawn, {3,4,5,6,7,8}, whereas there are only two possible suits for a card being selected as red, {heart, diamond}. So the number of outcomes in this event is 6 x 2 = 12.
In the event </span><span>"a number less than 3 is drawn or a club is not drawn", the number drawn could be 1 or 2 whereas a spade/heart/diamond could be selected. So the number of outcomes is 2 x 3 = 6.</span><span>
</span>
Answer: $6.66
Explanation:
3.70 multiplied by 0.80 = 2.96.
3.70 + 2.96 = $6.66
Answer:
$606.41
Step-by-step explanation:
1504 W * (1 kW)/(1000 W) * 0.14 $/(kW*h) * 4 months * (30 days)/(month) * (24 hours)/day =
= $606.41
Answer:
x = 1 ; x = -7/2
Step-by-step explanation:

Here the sol. of x =
1) x - 1 = 0
=> x = 1
2) 2x + 7 = 0
=> 2x = -7
=> x = -7/2