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3 years ago

Which expression is equivalent to (cos x)(tan(–x))?

2 answers:

7 0

The tan(-x) is the same thing as -tan(x). The tangent function is also the same thing as sin(x)/cos(x), right? So let's rewrite that tan in terms of sin and cos:
$[cos(x)][tan(-x)]$ is the same as $[cos(x)][ -\frac{sin(x)}{cos(x)}]$
We can now cancel out the cos(x), which leaves us only with -sin(x) remaining. So your answer is A.

GalinKa [24]3 years ago

7 0

The answer to this is A

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2 years ago

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grandymaker [24]

We have been given graph of a downward opening parabola with vertex at point $(6.5,42.25)$ . We are asked to write equation of the parabola in standard form.

We know that equation of parabola in standard form is $f(x)=ax^2+bx+c$ .

We will write our equation in vertex form and then convert it into standard form.

Vertex for of parabola is $y=a(x-h)^2+k$ , where point (h,k) represents vertex of parabola and a represents leading coefficient.

Since our parabola is downward opening so leading coefficient will be negative.

Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:

$0=-a(0-6.5)^2+42.25$

$0=-a(42.25)+42.25$

$-42.25=-a(42.25)+42.25-42.25$

$-42.25=-42.25a$

$a=1$ Divide both sides by $-42.25$

So our equation in vertex form would be $f(x)=-(x-6.5)^2+42.25$ .

Let us convert it in standard from.

$f(x)=-(x^2-13x+42.25)+42.25$

$f(x)=-x^2+13x-42.25+42.25$

$f(x)=-x^2+13x$

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3 years ago

The length of a rectangle is five times its width. The perimeter of the rectangle is at most 96 cm.

kupik [55]

answers B and D are clearly wrong and if u do some simple thinking you can determine the answer is C...

Have a fantabulous day! :)

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3 years ago

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Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.

Vladimir [108]

Answer:

270 yds squared

Step-by-step explanation:

You need to area of each of the shapes that make up the triangular prism. So, the side triangles, the back rectangle, the bottom rectangle and the top rectangle.

Side triangle (1x): base*height/2

12*5/2

60/2

30 yds, 60 yds for both sides.

Back rectangle: length*width

5*7

35 yds

Bottom Rectangle: length*width

7*12

84 yds

Top rectangle: length*width

7*13

91 yds.

To get the final answer, you add the surface areas together to get the final amount of yards: 30+30+35+84+91= 270 yds squared. Hope this helps.

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2 years ago

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professor190 [17]

Answer:

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