Answer:
1
Step-by-step explanation:
Let x represent the number. The given relation is ...
x² +(x+3)² = 17
2x² +6x +9 = 17 . . . . simplify
x² +3x -4 = 0 . . . . . . subtract 17 and divide by 2
(x +4)(x -1) = 0 . . . . . factor
The solutions make these factors zero: -4 and +1. The positive solution is 1.
The number is 1.
Answer is 50.24 m2.
Step by step.
Area is found with the formula A=pi radius squared.
We know radius is 1/2 diameter, so radius is 4.
Fill in the formula A = (3.14) (4^2) = 50.24 m2
Move all terms not containing
|
5
−
8
x
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|
5
-
8
x
|
to the right side of the inequality.
Tap for fewer steps...
Add
7
7
to both sides of the inequality.
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5
−
8
x
|
<
8
+
7
|
5
-
8
x
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<
8
+
7
Add
8
8
and
7
7
.
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5
−
8
x
|
<
15
|
5
-
8
x
|
<
15
Remove the absolute value term. This creates a
±
±
on the right side of the inequality because
|
x
|
=
±
x
|
x
|
=
±
x
.
5
−
8
x
<
±
15
5
-
8
x
<
±
15
Set up the positive portion of the
±
±
solution.
5
−
8
x
<
15
5
-
8
x
<
15
Solve the first inequality for
x
x
.
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x
>
−
5
4
x
>
-
5
4
Set up the negative portion of the
±
±
solution. When solving the negative portion of an inequality, flip the direction of the inequality sign.
5
−
8
x
>
−
15
5
-
8
x
>
-
15
Solve the second inequality for
x
x
.
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x
<
5
2
x
<
5
2
Set up the intersection.
x
>
−
5
4
x
>
-
5
4
and
x
<
5
2
x
<
5
2
Find the intersection between the sets.
−
5
4
<
x
<
5
2
-
5
4
<
x
<
5
2
The result can be shown in multiple forms.
Inequality Form:
−
5
4
<
x
<
5
2
-
5
4
<
x
<
5
2
Interval Notation:
(
−
5
4
,
5
2
)
(
-
5
4
,
5
2
)
Answer:
A) 18+81=9(x^2+6x+9)
D)11+(x+3)^2
Step-by-step explanation:
To solve this by completing the square, we want to get it to the form of: (x + 3)^2 = 9
There are multiple ways to get there.
First we could divide by 9 to get.
x^2 + 6x = 0
Then, add 9 to both sides to get:
x^2 + 6x + 9 = 9
Factor the left side:
(x + 3)^2 = 9
Now, you can solve this equation by completing the square.
(*I think you have a typo in your answer choices)
Read more on Brainly.com - brainly.com/question/9252180#readmore
I see a distance of 36 squares around the shape.