Answer:
B. 6Fx + 6Gy = 6H
Qx + Ry = S
Step-by-step explanation:
Equivalent equations can be created many ways. One of the simplest is to multiply both sides of the equation by the same number. In the answer above, the first equation has been multiplied by 6. Nothing has been done to the second equation.
_____
<em>Comments on other choices</em>
A: some terms have been multiplied by 6. This changes the equation(s) so they are no longer equivalent to the ones you started with.
B: the correct choice
C: see A.
D: the first equation has been multiplied by 6, so that is equivalent to the original. The second equation has the sign of one of the terms changed, so it is now a different equation.
Answer:
y=5/3x+7/3
Step-by-step explanation:
Here are the points: (1,4) and (-2, -1)
let's first find the slope, which is with the equation m=(y2-y1)/(x2-x1) (m is the slope)
label the points:
x1=1
y1=4
x2=-2
y2=-1
now subsitute into the equation
m=(-1-4)/(-2-1)
m=-5/-3
m=5/3
the slope of the line 5/3
Here's the equation so far:
y=5/3x+b (b is a place holder)
we can substitute either one of the points into the equation so far to find b, because the line will pass through both of them>
let's use (1,4) as an example
4=5/3(1)+b
4=5/3+b
subtract 5/3 from both sides
7/3=b
Now, put it all together:
y=5/3x+7/3
Hope this helps!
The forth one is correct hope this helps :)))
Answer:
Step-by-step explanation:
The vertical displacement function is 
, where 
is measured in meters and 
in seconds. Ball hits the ground when 
. That is:
Whose roots can be found by using the General Formula for Second-Order Polynomials:
Solutions of this polynomial are:
Only the first root is physically consistent.
Answer: 
Step-by-step explanation:
In order to round to the nearest thousandth, you must observe the digit to the right of the digit in the thousandth place and then:
- If it is less than 5, you must round down.
- If it is greater than or equal than 5, you must round up.
In this case, given the number:
You can notice that the digit to the right of the digit in the thousandth place is 9.
Since 
, you must round up. Then:
Finally, to express this as a single-digit times a power of ten, move the decimal point three places to the right. Then you get:
