Answer:
Step-by-step explanation:
first, we need to find the slope
slope = (y2 - y1) / (x2 - x1)
(-2,1)...x1 = -2 and y1 = 1
(0,8)...x2 = 0 and y2 = 8
now sub
slope = (8 - 1) / (0- (-2) = 7/(0 + 2) = 7/2
point slope form : y - y1 = m(x - x1)
using point (-2,1)....x1 = -2 and y1 = 1
slope(m) = 7/2
now sub
y - 1 = 7/2(x - (-2) =
y - 1 = 7/2(x + 2) <==== here is one answer
y - y1 = m(x - x1)
using point (0,8)...x1 = 0 and y1 = 8
slope(m) = 7/2
now sub
y - 8 = 7/2(x - 0) <===== another possible answer
Answer:
51 meters
Step-by-step explanation:
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
We are to find the meters of fencing for the diagonal.
We solve the question using Pythagoras Theorem
= c² = a² + b²
Where
c = Diagonal
a = Width
b =Length
Diagonal² = Width² + Length ²
Hence:
Diagonal ² = 45² + 24²
Diagonal = √45² + 24²
Diagonal = √(2601)
Diagonal = 51 m
Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters
<h3>
Answer: 90720 </h3>
===============================================
Explanation:
There are 9 letters in "Metallica", so there would be 9! = 9*8*7*6*5*4*3*2*1 = 362880 different permutations; however, this is only the case if we could tell the letters L and A apart.
We have two copies of each of those repeated letters, so we have to divide by 2!*2! = (2*1)*(2*1) = 4 to account for these repeats.
Because we can't tell the repeated letters apart, we really have (9!)/(2!*2!) = (362880)/(4) = 90720 different permutations.
Step-by-step explanation:
Y=2/3x-4 is in Slope - intercept form meaning you are shown the slope (how steep the line is) and the y intercept (where the equation hits the vertical axis)
With the given information, select the point (0, -4) on the graph, this is where the line crosses the y axis, as shown through the -4 in the equation.
Next, look at the slope and youll see 2/3x. Slope is in format "rise over run" meaning the first number (2) is the vertical change, so up two, and the second number (3) is horizontal change, right 3.
Combine these two steps together and select point (0. -4) then the next point should be at (3,2), 2 units up and three to the right from the y intercept.
Hence, Jake's running time in decimal is: 3.2 hours
