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Drupady [299]
3 years ago
8

Factor the expression. Use the fundamental identities to simplify, if necessary.

Mathematics
1 answer:
Rasek [7]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Given

sin²x + 7cosx + 17

=1 - cos²x + 7cosx + 17

= - cos²x + 7cosx + 18 ← factor out - 1 from each term

= - (cos²x - 7cosx - 18)

Consider the factors of the constant term (- 18) which sum to give the coefficient of the cosx term (- 7)

The factors are - 9 and + 2, thus

= - (cosx - 9)(cosx + 2) ← in factored form

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Will the point (2,6) be on the graph of y=3x
Olegator [25]

Answer:

Yes, the point (2,6) is on the graph of y=3x

Step-by-step explanation:

y = 3x

For the order pair (2,6)

substitute with x = 2 at the given function.

3x = 3 * 2 = 6

So, the point (2,6) on the graph of y=3x

Also, see the attached figure.

4 0
3 years ago
Read 2 more answers
Sarah has a wall hanging in the shape of a parallelogram. What is the height of the wall hanging if its area and base are 300 sq
Anastasy [175]
Use the formula
Area= base times height.
You're given that area =300cm^2 and base=20 cm.
Plug these into the equation to get 300=20 x height. Now, you just need to solve for height. To do this, you need to undo the multiplication of b x h by dividing the area by the base.
So, h = 300/20
Simplify for an answer of 15.
4 0
3 years ago
A community center is expanding the size
Katen [24]

So the original area is 300*150 (or 45000 ft^2), but now the new area is (300+3y)(150+3y).

The polynomial in standard form would be 45000+900y+450y+9y^2=45000+1350y+9y^2

But the proper way to write it is 9y^2+1350y+45000

When y=4, we get 9(4^2)+1350(4)+45000=9(16)+54000+45000=144+99000=99144

So the new area would be 99144 ft^2

Hope this helped!

6 0
3 years ago
Solving Quardratic Equation <br><br>x^3 + 5x^2 -16x - 80 = 0
Cloud [144]
This is not a quadratic equation.
It is a cubic equation.
X1 = 4
X2 = -5
X3 = -4


4 0
3 years ago
Which expression is equivalent to the following function?
nevsk [136]
<u>Answer </u>

B. f(x) = - (y/x)⁵

<u>Explanation</u>
A negative power means the reciprocal of that number raised to the positive value .
For example, a⁻ⁿ = 1/aⁿ

So, for the question above.
f(x) = -(x/y)⁻⁵
      = - 1/(x/y)⁵
      = - (y/x)⁵
6 0
3 years ago
Read 2 more answers
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