Answer:
Yes, they are congruent.
Step-by-step explanation:
Congruent segments are segments whose lengths are equal.
You plotting of the points is correct.
Now look at the length of each segment.
Points R and S are both on the same horizontal line since their y-coordinates are both equal, 7. The distance from 3 to 6 is 3, so the length of segment RS is 3.
Points T and U are both on the same vertical line since their x-coordinates are both equal, 5. The distance from -3 to 0 is 3, so the length of segment TU is 3.
The lengths of segments RS and TU are both 3, which makes them equal. That makes the segments congruent.
Answer: Yes, they are congruent.
Answer: 7.33980582 x 10^0
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. The sign of the exponent will depend on the direction you are moving the decimal.
If the value of y= 7
then next eqn is y= 2x + 1
substitute the value of y
7= 2x+1
7-1=2x
6=2x
6/2=x
3=x
Answer:
Step-by-step explanation:
Hi there,
To solve this, we want to isolate x either using logs or exponent rules. For this, I chose exponent rules.
First, divide both sides of the equation by (1/3)² :

The right-hand side is reduced to 1. The left-hand side contains values that have the same base, so we can use this exponent rule:
Apply this:
Now, we are left with:
Conceptually, you just have to think: <em>what exponent can make a base equal to 1? </em>
This is based on the following exponent rule:

So, all we have to do is set (x-4) = 0!

Thus, the value of x is 4.
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