Answer:
The ordered pair to represent a in the equation a=2b+c if b=(6,3) and c=(-4,8) is: a=(8,14)
Step-by-step explanation:
b=(6,3)
c=(-4,8)
a=2b+c
Replacing b and c in the equation above:
a=2(6,3)+(-4,8)
Multiplying:
a=(2*6,2*3)+(-4,8)
a=(12,6)+(-4,8)
Adding:
a=(12+(-4),6+8)
a=(12-4,14)
a=(8,14)
Hey there! I'm happy to help!
Imagine the line that is created when you connect the two points (the distance between the two points).
You can create a right triangle where this distance is the hypotenuse where the two legs are the change in x and y. So, if you take those changes in x and y, you can use the Pythagorean Theorem (a²+b²=c²) to find the distance between the two points, which is the hypotenuse.
Our change in x is 9 because 9-0 is 9.
We square it
9²=81
Our change in y is 5 as -1-(-6) or -1+6 is 5.
5²=25
We add these.
81+25=106
We square root and round to the nearest tenth.
√106≈10.3
So, our distance is 10.3.
This Pythagorean Theorem method actually gives us a formula called the distance formula that you can use to find the distance between points.

Have a wonderful day and keep on learning! :D
Answer:
The equation is true when x = <u>4</u> because <u>6(4) = 24 </u>that is x=4 satisfies the given equation.
Step-by-step explanation:
Given: 
To find: x
Solution:
A equation is a statement that defines the equality of two expressions or numbers.

Divides both sides by 6

Therefore,
The equation is true when x = <u>4</u> because <u>6(4) = 24 </u>that is x=4 satisfies the given equation.
Answer:
D
Step-by-step explanation:
Absolute value is the distance from a point 0. Absolute value is always a positibe number, so think of all of these as positive numbers