Answer:
y = -1/3x + 14/3
Step-by-step explanation:
We have the standard equation as;
y = mx + b
where m is the slope and b is the y-intercept
the given points are;
(-1,5) and (2,4)
So we plug x and y for each of the points
then we create two linear equations which we can solve simultaneously to get the values of m and b
From the points;
5 = -m + b•••••••(i)
4 = 2m + b
from i;
b = 5 + m
substitute this into equation ii
4 = 2m + 5 + m
4 = 3m + 5
4-5 = 3m
3m = -1
m = -1/3
Recall;
b = 5 + m
b = 5-1/3
b = 14/3
so we have the equation as;
y = -1/3x + 14/3
Multiply through by 3
3y = -x + 14
The answer
<span>a rational number that is between 5.2 and 5.5
first, </span><span>a rational number is a decimal number that the number after the dot can be ended. for example
1/2 = 0.5 is rational, 2 is rational because 2 = 2. 0,
so a rational number </span>between 5.2 and 5.5 can be 525 /100
because this rational number can be written as 525 /100 = 5.25
and 5.2 less than 5.25 less than 5.5
an irrational number is a decimal number that the number after the dot cannot be ended. for example 1/3 = 0.3333333333......
so so an irrational number between 5.2 and 5.5 can be √30
because √30 can be written as √30 = 5,477225575051661134569........
and 5.2 less than 5.47 less than 5.5
1.) Jarvis lives 3 miles away from Cassidy and Theo lives 6 miles away.
(if Jarvis lives 3 miles away from Cassidy and Theo is twice as far from Jarvis, Theo would be twice as many miles away from Cassidy than Jarvis; 3 times 2 is 6; 3+6+=9)
2.) Jorge's watering can can hold 8 cups of water.
(Older brother's can hold 16 cups; 8+8+16= 32; there are 32 cups in 2 gallons)
Use the Pythagorean theorem:

c - a hypotenuse
a, b - legs
We have: a = 9 and c = 12. Substitute:

<em>subtract 81 from both sides</em>

A Pythagorean triple consists of three positive integers a, b and c, such that
.
is not positive integer.
<h3>The sides of the triangle do not form a pythagorean triple.</h3>
Answer:
x intercept is (0.9,0)
y intercept is (0,-1.2)
Step-by-step explanation: