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Answer:
209
Step-by-step explanation:
We can divide the figure into 2 parts to make this easier.
11x16=176 so the square is 176 square cm.
(11x6)/2 = 66/2 = 33 so the triangle is 33 square cm.
176+33 = 209 sq cm.
Answer: -1 < x < 8
x = 3
x ≠ 2
<u>Step-by-step explanation:</u>
Isolate x in the middle. Perform operations to all 3 sides.
-6 < 2x - 4 < 12
<u>+4 </u> <u> +4</u> <u>+4 </u>
-2 < 2x < 16
<u>÷2 </u> <u>÷2 </u> <u> ÷2 </u>
-1 < x < 8
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Isolate x. Solve each inequality separately. Remember to flip the sign when dividing by a negative.
4x ≤ 12 and -7x ≤ 21
<u>÷4 </u> <u>÷4 </u> <u> ÷-7 </u> <u>÷-7 </u>
x ≤ 3 and x ≥ 3
Since it is an "and" statement, x is the intersection of both inequalities.
When is x ≤ 3 and ≥ 3? <em>when x = 3</em>
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Isolate x. Solve each inequality separately.
15x > 30 or 18x < -36
<u>÷15 </u> <u> ÷15 </u> <u> ÷18 </u> <u>÷18 </u>
x > 2 or x < 2
Since it is an "or" statement, x is the union of both inequalities.
When we combine the inequalities, x is every value except 2.
x ≠ 2
The equation of the line is given as
A straight line equation is given in the form
where
is the gradient and
is the y-interest.
We need to rearrange
to make
the subject.
⇒ from here we can read the gradient and the y-intercept. The gradient,
and
.
<span>A line that is parallel to
will have the same gradient,
but different y-intercept. One example of equation of a line that is parallel to
is
</span>
Given:
The relation is {(-5, -3), (-1, 3), (4,3), (8, 8)}.
To find:
Whether the given relation is a function or not.
Solution:
A relation is called a function, if there exist a unique output for each input.
We have, a relation given as
{(-5, -3), (-1, 3), (4,3), (8, 8)}
Here, all x-values are different. So, each x-value has a unique y-value.
Thus, there exist a unique output for each input.
Therefore, the given relation is a function.
