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dusya [7]
3 years ago
6

Kelly is 15 years older than frank. In 2 years time, she will be 4 times as old as him. Find their present ages

Mathematics
2 answers:
maw [93]3 years ago
6 0
Frank will be 4.25 in two years, therefor he is presently 2.25, which is 2 years and 3 months
Luba_88 [7]3 years ago
4 0
Kelly is 18 years old, Frank is 3 years old
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If f(x)=-x^2+6x-1 and g(x) =3x^2-4x-1, find (f-g)(x)
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Answer:


Step-by-step explanation:

Given,

f(x)=-x^{2} +6x-1\\g(x)=3x^{2} -4x-1

we know,

(f-g)(x)=f(x)-g(x)

So, here we get

(f-g)(x)

=f(x)-g(x)

=-x^{2} +6x-1-(3x^{2} -4x-1)

=-x^{2} +6x-1-3x^{2} +4x+1

=-x^{2}-3x^{2} +6x+4x-1+1

=-4x^{2} +10x

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-4x^{2} +10x

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Community Gym charges a $50 membership fee and a $60 monthly fee. Workout Gym charges a $180 membership fee and a $50 monthly fe
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Line segment YV of rectangle YVWX measures 24 units.
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Answer: YX=13.85\ units

Step-by-step explanation:

<h3> The complete exercise is: "Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?"</h3><h3> The missing figure is attached.</h3>

Since the figure is a rectangle, you know that:

WV=YX\\\\YV=XW=24

Notice that the segment YV divides the rectangle into two equal Right triangles.

Knowing the above, you can use the following Trigonometric Identity:

tan\alpha =\frac{opposite}{adjacent}

You can identify that:

\alpha =30\°\\\\opposite=YX\\\\adjacent=YV=24

Therefore, in order to find the length of the segment YX, you must substitute values into  tan\alpha =\frac{opposite}{adjacent} and then you must solve for YX.

You get that this is:

tan(30\°)=\frac{YX}{24}\\\\(24)(tan(30\°))=YX\\\\YX=13.85

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