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2 years ago

Remove all perfect squares from inside the square root. Assume b is positive

Mathematics

1 answer:

Tanya [424]2 years ago

4 0

Answer:

4b $\sqrt{5}$

Step-by-step explanation:

Factor 80 $b^{2}$ .

80 $b^{2}$ = 4 * 4 * 5 * b * b

Since there are two 4s and bs, they can be taken out of the square. (Because if you put a square root over 4 squared or b squared, you would get 4 or b.)

Now you are left with 4b $\sqrt{5}$ .

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What are the values for the coefficients and constant term of 0 = 2 + 3x2 – 5x?

tangare [24]

Keywords:

<em>Polynomial, variable, coefficients, constant term. </em>

For this case, the first thing we must do is rewrite the polynomial in a standard way. For this, we reorder the polynomial coefficients.

The standard form of the polynomial is:

$ax ^ 2 + bx + c$

Where,

a, b, c: are the coefficients of the polynomial.

x: is the variable

Rewriting the polynomial we have:

$3x ^ 2-5x + 2$

Comparing with the standard form we have that the values of the coefficients are given by:

$a = 3\\b = -5\\c = 2$

Answer:

The values for the coefficients and constant term are:

$a = 3\\b = -5\\c = 2$

4 0

2 years ago

Read 2 more answers

Determine f (x) = (x + 1)(x - 3)(x - 4)

Anna [14]

Answer:

Step-by-step explanation:

(x+1)(x−3)(x−4)

=((x+1)(x−3))(x+−4)

=((x+1)(x−3))(x)+((x+1)(x−3))(−4)

=x3−2x2−3x−4x2+8x+12

=x3−6x2+5x+12

8 0

3 years ago

Dylan just started a running plan where he runs 14 miles the first week and then increases the number of miles he runs by 10% ea

Vladimir79 [104]

Answer:

36 miles

Step-by-step explanation:

Given - Dylan just started a running plan where he runs 14 miles the first

week and then increases the number of miles he runs by 10% each

week.

To find - If he keeps up this plan for 11 weeks, how many total miles would

Dylan have run ?

Proof -

1st week = 14 miles

2nd week = 14 + 10% of 14 = 14 + 1.4 = 15.4

3rd week = 15.4 + 10% of 15.4 = 15.4 + 1.54 = 16.94

4th week = 16.94 + 10% of 16.94 = 16.94 + 1.694 = 18.634

5th week = 18.634 + 10% of 18.634 = 18.634 + 1.8634 = 20.4974

6th week = 20.4974 + 10% of 20.4974 = 20.4974 + 2.04974 = 22.54714

7th week = 22.54714 + 10% of 22.54714 = 22.54714 + 2.254714 = 24.801857

8th week = 24.801857 + 10% of 24.801857 = 24.801857 + 2.4801857 = 27.2820427

9th week = 27.2820427 + 10% of 27.2820427 = 27.2820427+ 2.72820427 = 30.01024697

10th week = 30.01024697 + 10% of 30.01024697 = 30.01024697 + 3.001024697 = 33.01127167

11th week = 33.01127167 + 10% of 33.01127167 = 33.01127167 + 3.301127167 = 36.31239884 ≈ 36

∴ we get

Total miles Dylan would run = 36 miles.

8 0

2 years ago

Using the Law of sines, in triangle ABC, if measurement of angle B = 105°, b = 23, a = 14, find measurement of angle A

Degger [83]

Check the picture below.

make sure your calculator is in Degree mode.

3 0

2 years ago

A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 20 ft from the path and is kept f

krek1111 [17]

Answer:

0.128rad/sec

Step-by-step explanation:

Let x represent the between the man and the point on the path

θ = the angle

dx/dt = 4 ft/s

dθ/dt = rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight

tan θ = x/20 ft

Cross Multiply

20tan θ = x

dx/dt = 20sec² θ dθ/dt

dθ/dt = 1/20 × cos² θ dx/dt

dθ/dt= 1/20 × cos² θ × 4

dθ/dt = 1/5 × cos² θ

Note : cos θ = 4/5

dθ/dt = 1/5 × (4/5)²

dθ/dt = 16/125

dθ/dt = 0.128rad/sec

6 0

2 years ago