Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2,3)
m =
=
= 2 , thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line
Answer:
D
Step-by-step explanation:
-1 + -5 is -6.
Answer:
58 miles/hour
Step-by-step explanation:
Given that the family Christmas gathering has been scheduled at 2:00 p.m.,
and Joshua left the house at 8:00 a.m.
So, the total time available in order to arrive on time to attend the Christmas gathering, t=6 hours
The total distance, Joshua has to travel, d= 348 miles.
As average speed= (total distance)/(total time)
So, the average speed of driving = 348/6=58 miles/hour
Hence, Joshua must drive at an average speed of 58 miles/hour in order to arrive on time.
Answer:
shop b
Step-by-step explanation:
We can find for example how much 100 grams of peanut butter cost in each shop using a proportion
shop A 100 : 250 = x : 325
x = (325 * 100) / 250 = $130
shop B 100 : 340 = x : 408
x = (408 * 100)/ 340 = $120
We discovered that shop B is cheaper
Answer:
see below
Step-by-step explanation:
We have to assume that the question is referring to the doubly-shaded length, the one that is 10 bright blue units long.
You can read the overall length of the shaded area as 5/4, from the markings.
For the next part, you need to count the number of units that are shaded bright blue (10) and the number that are shaded blue overall (15). As a fraction of those shaded blue overall, the ones shaded bright blue are 10/15 = 2/3.
So, the length shaded bright blue is 2/3 of the overall length of 5/4. It is represented by the product ...
