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Serga [27]
1 year ago
13

Identify all solutions for the graph (Check as many that apply)

Mathematics
2 answers:
Lisa [10]1 year ago
5 0
The darkest shaded one is the correct answer.
Diano4ka-milaya [45]1 year ago
3 0

Answer:

the darkest shaded one.

Step-by-step explanation:

because the two areas for possible answers both intersect at that area, therefore, that is the answer.

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Tucker walked at a rate of 1/4 a mile every 8 minutes. What was his walking rate in miles per hour.
iVinArrow [24]
He was walking 20 miles per hour
4 0
3 years ago
Find x<br><br><br><br><br> Thanks for the help in advance!
Marina86 [1]

I'm not sure if this is the easiest way of doing this, but it surely work.

Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

AH=2,\quad HB=6,\quad AC=x

Moreover, let CH=y and BC=z

Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

\begin{cases}4+y^2=x^2\\36+y^2=z^2\\x^2+z^2=64\end{cases}

If we solve the first two equations for y squared, we have

y^2=x^2-4\\y^2=z^2-36

And we can deduce

z^2 = x^2+32

So that the third equation becomes

x^2+x^2+32=64 \iff 2x^2 = 32 \iff x^2=16 \iff x=4

(we can't accept the negative root because negative lengths make no sense)

7 0
3 years ago
Line segment 19 units long running from (x,0) ti (0, y) show the area of the triangle enclosed by the segment is largest when x=
Debora [2.8K]
The area of the triangle is

A = (xy)/2

Also,

sqrt(x^2 + y^2) = 19

We solve this for y.

x^2 + y^2 = 361

y^2 = 361 - x^2

y = sqrt(361 - x^2)

Now we substitute this expression for y in the area equation.

A = (1/2)(x)(sqrt(361 - x^2))

A = (1/2)(x)(361 - x^2)^(1/2)

We take the derivative of A with respect to x.

dA/dx = (1/2)[(x) * d/dx(361 - x^2)^(1/2) + (361 - x^2)^(1/2)]

dA/dx = (1/2)[(x) * (1/2)(361 - x^2)^(-1/2)(-2x) + (361 - x^2)^(1/2)]

dA/dx = (1/2)[(361 - x^2)^(-1/2)(-x^2) + (361 - x^2)^(1/2)]

dA/dx = (1/2)[(-x^2)/(361 - x^2)^(1/2) + (361 - x^2)/(361 - x^2)^(1/2)]

dA/dx = (1/2)[(-x^2 - x^2 + 361)/(361 - x^2)^(1/2)]

dA/dx = (-2x^2 + 361)/[2(361 - x^2)^(1/2)]

Now we set the derivative equal to zero.

(-2x^2 + 361)/[2(361 - x^2)^(1/2)] = 0

-2x^2 + 361 = 0

-2x^2 = -361

2x^2 = 361

x^2 = 361/2

x = 19/sqrt(2)

x^2 + y^2 = 361

(19/sqrt(2))^2 + y^2 = 361

361/2 + y^2 = 361

y^2 = 361/2

y = 19/sqrt(2)

We have maximum area at x = 19/sqrt(2) and y = 19/sqrt(2), or when x = y.
3 0
3 years ago
If a=3 and b=4 then ba=
yuradex [85]

Answer:

12

Step-by-step explanation:

"ba" means "b * a", where * is multiplication. So, we want to find the product of a and b.

We know a = 3 and b = 4, so we just plug these in: 3 * 4 = 12.

Thus, ba = 12.

Hope this helps!

5 0
3 years ago
Read 2 more answers
I need the answer pls
pogonyaev

Answer:

314 inches³

Step-by-step explanation:

The area of a cone is πr²h/3. We need to find the height and radius of the cone. The height is 12 inches. radius * 2 = diameter.

Radius * 2 = Diameter
/2                  /2

Radius  = 1/2* Diameter
Radius = 5 inches

We substitute it in:

3.14 * 5² * 12/3:

3.14*25*4

314 inches³

8 0
2 years ago
Read 2 more answers
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