This translates to "a number" is greater than 45. All you have to do now is translate these words into an algebraic statement. Basically, you replace "a number" with the variable which it is defined for, and you use the "greater than" symbol to show that the variable is greater than the value of 45.
X=5+y
x+y=-15
subsitute 5+y for x
5+y+y=-15
5+2y=-15
minus 5 from both sides
2y=-20
divide both sides by 2
y=-10
sub back
x=5+y
x=5-10
x=-5
the numbers are -10 and -5
Answer:
Correct option: first one -> y = (1/3)x + (10/3)
Step-by-step explanation:
The linear function that represents a line is:
y = ax + b
Where a is the slope and b is the y-intercept.
First we need to find the slope of the line that goes through (0, -3) and (3, -2).
Using both points, we can find the equation of the line:
x = 0 -> y = -3
-3 = a*0 + b
b = -3
x = 3 -> y = -2
-2 = 3a - 3
3a = 1
a = 1/3
The parallel line needs to have the same slope as the line, so we can model the parallel line with the following equation:
y = (1/3)x + b
The parallel line goes through the point (-4, 2), so we have:
x = -4 -> y = 2
2 = (1/3)*(-4) + b
b = 2 + (4/3)
b = 10/3
So the equation of the parallel line is:
y = (1/3)x + (10/3)
Correct option: first one
Answer:
8 miles
Step-by-step explanation:
We start by calculating the distance between the two points
To calculate this, we use the distance formula
Let the distance be D
We have the formula as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-2+2)^2 + (-5-3)^2
D = √(64)
D = 8 units
Since 1 unit is 1 mile,
then 8 units will be 8 * 1 = 8 miles
Answer:could you maybe simplify the question
Step-by-step explanation:
