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3 years ago

Simplify √ 320 A. 8√ 5 B. 4√ 2 C. 14√ 2 D. 5√ 7

Mathematics

1 answer:

antoniya [11.8K]3 years ago

6 0

According to my calculations,

A. is the correct answer.

8√5

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One of the roots of the equation 5x2−36x+t=0 is five times as big as the other root. Find the value of t.

Bas_tet [7]

Answer:

t = 36

Step-by-step explanation:

If one of the roots is "a", the equation can be factored as ...

(5x -a)(x -a) = 0

5x^2 -6ax +a^2 = 0

Comparing terms to the given equation, we see that ...

-6ax = -36x

a = 6 . . . . . . . . divide by -6

Then ...

a^2 = t

36 = t . . . . . . . substitute 6 for a

_____

The roots are 6 and 6/5.

4 0

3 years ago

I need to complete the equation of the line through (3 -1) and (4 7). I am really stumped on this topic, please explain the proc

Nana76 [90]

Assuming you want the equation in slope intercept form, you first need to use slope formula to find the slope.

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Plug in the coordinates that you have, (3,-1) and (4,7), for the x and y values respectively.

$\frac{-1-7}{3-4}$

Which reduces to 8/1=8.

The slope of your equation is 8.

Slope intercept form is: y=mx+b. m is your slope and b is your y-intercept, x and y stay unchanged.

Plug the slope in:

y=8x+b.

Now, you can plug one of the sets of coordinates into the x and y of the equation to find b. I'm using (3,-1).

-1=8(3)+b

-1=24+b

Subtract 24 from both sides.

-25=b

Now plug this into the equation!

y=8x-25 is your final equation.

I hope this helps :)

6 0

3 years ago

What is the simplified form of the following expression

Rasek [7]

The second option is the answer

7 0

2 years ago

Rosemarie drove from Philadelphia, Pennsylvania, to Pittsburgh, Pennsylvania. The distance between Philadelphia and Pittsburgh i

Nat2105 [25]

Answer:

The speed was $61\frac{miles}{hour}$

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

s------> the speed in miles per hour

d ----> the distance in miles

t ----> is the time in hours

we know that

$s=\frac{d}{t}$

we have

$d=305\ miles$

$t=5\ hours$

substitute

$s=\frac{305}{5}$

$s=61\frac{miles}{hour}$

7 0

2 years ago

A one-parameter family of solutions of the de p' = p(1 − p) is given below.

tensa zangetsu [6.8K]

Answer:

A solution curve pass through the point (0,4) when $c_{1} = -\frac{4}{3}$ .

There is not a solution curve passing through the point(0,1).

Step-by-step explanation:

We have the following solution:

$P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}$

Does any solution curve pass through the point (0, 4)?

We have to see if P = 4 when t = 0.

$P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}$

$4 = \frac{c_{1}}{1 + c_{1}}$

$4 + 4c_{1} = c_{1}$

$c_{1} = -\frac{4}{3}$

A solution curve pass through the point (0,4) when $c_{1} = -\frac{4}{3}$ .

Through the point (0, 1)?

Same thing as above

$P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}$

$1 = \frac{c_{1}}{1 + c_{1}}$

$1 + c_{1} = c_{1}$

$0c_{1} = 1$

No solution.

So there is not a solution curve passing through the point(0,1).

3 0

3 years ago