Answer:
<em>x </em>= -2
<em>y </em>= 0
Step-by-step explanation:
Pretty hard process, but let me explain:
First, solve for y.
Substitute -x - 2 for y in x - y = -2:
Then, simplify both sides of the equation.
x - y = -2
x - (-x - 2) = -2
After, add -2 to both sides of the equation.
2x + 2 = -2
2x + 2 + -2 = -2 + -2
Next, divided both sides by 2.
2x/2 = -4/2
After that, substitute -2 for x in y = -x - 2:
You must simplify both sides of the equation.
y = -x - 2
y = -(-2) - 2
y = 0
Sorry if this is long and confusing, but I hope this helps!!
Tomas used incorrectly the rule of signs, the expression should be simplified as follows:
-2.6 + (-5.4)
-2.6 -5.4 = 8
<h3>
</h3><h3>
What mistake did Tomas likely make?</h3>
Here Tomas wants to perform an addition between two numbers:
-2.6 + (-5.4)
And the outcome that Tomas gets is:
-2.6 + (-5.4) = 2.8
Here his mistake seems to bee that he thought the second number was a positive number, and he solved the operation:
-2.6 + 5.4
So, he used wrong the rule of signs.
Remember that the rule of signs says that:
(-)*(+) = (+)*(-) = (-)
Using that, we can rewrite the original expression:
-2.6 + (-5.4)
to:
-2.6 - 5.4
Solving that, we get:
-2.6 - 5.4 = -8
Which is the outcome that Tomas would have gotten if he had used correctly the rule of signs.
If you want to learn more about the rule of signs:
brainly.com/question/13333620
#SPJ1
Answer:
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 1.28.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5
The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm
<h3>What is
apothem?</h3>
The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.
Let a represent the length of the apothem. Hence half of the side = 18/2 = 9 cm.
Using Pythagoras:
18² = a² + 9²
The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm
Find out more on apothem at: brainly.com/question/369332
Answer: Hi! I want to know this!
