Answer:
Answer is explained below in the explanation section.
Step-by-step explanation:
Solution:
For this question, we need to have a number line, we can not make the number line here. As it will be very long. Instead, I have attached a number line from -11 to +11 for your understanding and explained it below. Please refer to the attachment below for the number line.
Number Line:
A number line is a line which contains all the numbers from negative infinity to positive infinity divided by a single number zero. It has two sides, left hand side and right hand side. A side left to zero contains all the negative numbers and a side right to 0 contains, all the positive numbers.
So,
We are asked to add 34 in (-212), we will get 178 but with the negative sign, and it will lie on the left hand side of the number line.
SO,
34 + (-212) = 34 - 212 = -178
Hence,
Our sum which is 178 will lie on the left hand side of the number line.
Answer:
|-13| = 13, so the opposite is -13
|14| = 14, the opposite is -14
-|42| = -42, the opposite is 42
X=area of Sahara.
y=area of the Gobi Desert.
We suggest this system equations:
x+y=4000000
x=7y
solve by susbstitution method.
(7y)+y=4,000,000
8y=4,000,000
y=4,000,000 / 8=500,000
x=7y
x=7(500,000)=3,500,000
The area of Sahara=3,500,00 miles².
The area of the Gobi Desert=500,000 miles²
To check:
Te sum of their areas is : 3,500,000 miles²+500,000 miles²=4,000,000 miles²
Te area of sahara (3,500,000 miles²) is 7 times the area of the Gobi Desert (7*500,000 miles²=3,500,000 miles²).
Answer:
is an even function.
Step-by-step explanation:
Recall when it means when a function is even or odd. An even function has the following property:

And an odd function has the following property:

So, let's test some values for cos(x).
Let's use π/3:

From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).
Now, let's find -π/3. This is the same as 5π/3. Thus:

And again from the unit circle, we can see that this is 1/2.
Therefore, despite the negative, the function outputs the same value.
Cosine is an even function.
Notes:
Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!
The correct statement about the data collected by Ms. Pearson is that there is no association between a student's absences and the final average grades.
<h3>When do variables have a linear relationship?</h3>
The equation that represents a linear relationship is: a + bx
Where x represents the rate of increase. Thus, for linear equations, the functiion increases by a constant term.
Looking at the table, the average final grade does not increase by a constant term.
To learn more about linear functions, please check: brainly.com/question/26434260