For number 3 it would be |-10| and |10|.
Number 5a is supposed to <, because -1 is greater than -7 when you look at the line graph. The same goes for 5b. 5d is >, because 0 is always greater than -1 and it shows that on the line graph that you have there. 5e is =.
I don't see anything else wrong though. Just the ones I listed.
Hope that helps!
Answer:
5
Step-by-step explanation:
The coordinated of the preimage would be :
x = x cos θ + y sin θ
y = x sin θ + y cos θ
where
x = -4
y = 7
θ = -90
hope this helps
Answer:
The point of intersection gives the solution set(s) of the associated system.
Step-by-step explanation:
If we have a pair of simultaneous equations in 2 variables in x and y, then the point of intersection is the ordered pair (x,y).
This could be a unique intersection, only one point or infinitely many intersection.
This gives us the solution of the simultaneous equations.
Therefore the significance of the point of intersection of a pair of simultaneous equations is that, it gives us the solution set(s) of the associated system.
Answer:
x=8.5
Step-by-step explanation:
To solve this equation, we want to find out what x is. To do this, we need to get x by itself.
Perform the opposite of what is being done to the equation. Remember to perform everything to both sides.
4(x-5)=14
4 is being multiplied by x-5. The opposite of multiplication is division. Divide both sides by 4.
4(x-5)/4=14/4
x-5=14/4
x-5=3.5
5 is being subtracted from x. The opposite of subtraction is addition. Add 5 to both sides.
x-5+5=3.5+5
x=3.5+5
x=8.5
Let's check our solution. Plug 8.5 in for x in the original equation.
4(x-5)=14
4(8.5-5)=14
4(3.5)=14
14=14
Both sides of the equation are the same, so we know our solution, <u>x=8.5 </u>is correct.
