Answer:
This system of equations has infinite points of intersection
Step-by-step explanation:
* To know the point of intersection of the system of equations,
you will solve the graphically or algebraically
- Graphically by drawing two lines on the coordinate plane
- Algebraically by substitution method or elimination method
* Lets use the substitution method
∵ y = 4 - x
∵ 2y = 8 - 2x
- Substitute y in the second equation by its value in the
first equation
∴ 2(4 - x) = 8 - 2x ⇒ open the bracket
∴ 8 - 2x = 8 - 2x
* The two sides equal each other, that means we can use any
vales of x, and on the graph they will be the same line for
the two equations
∴ This system of equations has infinite points of intersection
Answer:
y = 4x + 7
Step-by-step explanation:
parallel = same slope
y = 4x + b
plug in (-4, -9)
-9 = 4(-4) + b
-9 = -16 + b
b = 7
y = 4x + 7
Answer:
7=4x+7
Step-by-step explanation:
To do this you would just plug in (-4,-9) into the equation y=mx+b so we would get -9=4(-4)+b when you simplify you will get -9=-16+b so we would add 16 to both sides and we would get 7=b so we would know that the y intercept is 7 and we know that if a line is parallel to another line is just has a different b so for our equation we would get 7=4x+7
The truck driver loaded 72 crates of eggs. There are 36 eggs in each crate. The driver will make 6 deliveries and unload the same number of eggs at each delivery stop. How many eggs will the driver unload at each stop?
Choose all answers that are correct.
A.
72 ÷ 6 = 12 and 12 × 12 = 144
B.
72 ÷ 36 = 2 and 2 × 72 = 144
C.
72 × 36 = 2,592 and 2,592 ÷ 6 = 432
D.
72 ÷ 6 = 12 and 12 × 36 = 432
Answer: 35%
Step-by-step explanation: To find the percent decrease, we use the following formula.
The amount of change is the difference between the two numbers which in this case is 60 - 39 and the first number is 60.
60 - 39 is 21 so we are left with 21/60.
60 divided into 21 .35 times. However, our problem is asking for the percent which means we can move the decimal point two places to the right to get 35.
Therefore, the percent decrease is 35%.
Answer:
Step-by-step explanation:
Given: The approx distance of planet Mercury from the Sun
The distance of planet Venus from the Sun
We can see the
The difference distance of planet Venus from the Sun is more than the distance of planet Mercury from the Sun.
The difference between the distance =
Hence, the distance of Venus from the Sun is more than the distance of Mercury from the Sun.