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Black_prince [1.1K]
3 years ago
11

Factor completely. 25+70x+49x^2=

Mathematics
1 answer:
weeeeeb [17]3 years ago
8 0

Answer:

(7x+5)(7x+5)

Step-by-step explanation:

Factor 25+70x+49x2

49x2+70x+25

=(7x+5)(7x+5)

Answer:

(7x+5)(7x+5)

Hope this helps!

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Snowy's Snow Cones has a special bubble gum snow cone on sale. The cone is a regular snow cone that has a spherical piece of bub
cupoosta [38]

Let us first note down all the information's that are given in the question.

Radius of the snow cone = 4 inches

Height of the snow cone = 6 inches

Diameter of the bubble gum = 0.8 inches

Then

Radius of the bubble gum = 0.4 inches

Now

Volume of the come = 1/3 * pi * (radius)2 * height

                                = 1/3 * 3.14 * (4) ^2 * 6

                                = 3.14 * 16 * 2

                                = 100.48 cubic inches

Again  

Volume of the sphere = (4/3) * pi * (radius)^3

                                  = (4/3) * 3.14 * (0.4)^3

                                  = (4/3) * 3.14 * 0.064

                                  = 0.2679 cubic inches

Volume of the cone

that can be filled with flavored ice = 100.48 - 0.27

                                                     = 100.21 cubic inches

The correct option among all the options that are given in the question is option "d".

3 0
3 years ago
Which statement about the polynomial function g(x) is true?
kakasveta [241]

Answer:

C) If the leading coefficient of g(x) is 1, all rational roots of g(x) = 0 must be integers.

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP! 50 Points!
gulaghasi [49]

The bearing of the plane is approximately 178.037°. \blacksquare

<h3>Procedure - Determination of the bearing of the plane</h3><h3 />

Let suppose that <em>bearing</em> angles are in the following <em>standard</em> position, whose vector formula is:

\vec r = r\cdot (\sin \theta, \cos \theta) (1)

Where:

  • r - Magnitude of the vector, in miles per hour.
  • \theta - Direction of the vector, in degrees.

That is, the line of reference is the +y semiaxis.

The <em>resulting</em> vector (\vec v), in miles per hour, is the sum of airspeed of the airplane (\vec v_{A}), in miles per hour, and the speed of the wind (\vec v_{W}), in miles per hour, that is:

\vec v = \vec v_{A} + \vec v_{W} (2)

If we know that v_{A} = 239\,\frac{mi}{h}, \theta_{A} = 180^{\circ}, v_{W} = 10\,\frac{m}{s} and \theta_{W} = 53^{\circ}, then the resulting vector is:

\vec v = 239 \cdot (\sin 180^{\circ}, \cos 180^{\circ}) + 10\cdot (\sin 53^{\circ}, \cos 53^{\circ})

\vec v = (7.986, -232.981) \,\left[\frac{mi}{h} \right]

Now we determine the bearing of the plane (\theta), in degrees, by the following <em>trigonometric</em> expression:

\theta = \tan^{-1}\left(\frac{v_{x}}{v_{y}} \right) (3)

\theta = \tan^{-1}\left(-\frac{7.986}{232.981} \right)

\theta \approx 178.037^{\circ}

The bearing of the plane is approximately 178.037°. \blacksquare

To learn more on bearing, we kindly invite to check this verified question: brainly.com/question/10649078

5 0
3 years ago
A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
goldfiish [28.3K]

Answer:

wire for square to maximize total area = 23 m

Wire to minimize total area = 2.019 m

Step-by-step explanation:

For the square, let's say the total length of the square is "y" m.

Thus, length of one side is = y/4

And area of the square = (y/4) = y²/16

Since the wire is 23 m, then total length of equilateral triangle is; 23 - y.

Thus, length of one side of equilateral triangle = (23 - y)/3

Using trigonometric ratio, we can find the height of the triangle and thus area.

Area of triangle = (√3)/4) × ((23 - y)/3)²

Area of triangle = (√3)/36)(23 - y)²

So, total area of square and triangle is;

A_total = (y²/16) + (√3)/36)(23 - y)²

Now, extremizing this function by derivatives, we have;

dA/dy = (y/8) - (√3)/18)(23 - y)

d²A/dy² = ⅛ + (√3)/18)

So, d²A/dy² > 0

Now,let's find the maximum or minimum of the function.

So, we equate dA/dy to zero.

Thus;

(y/8) - (√3)/18)(23 - y) = 0

y/8 = (√3)/18)(23 - y)

(y/8) + (√3)/18)y = 23((√3)/18)

Multiply through by 8 to give;

y + 0.0962y = 2.2132

1.0962y = 2.2132

y = 2.2132/1.0962

y = 2.019 m

2.019 will be a minimum because d²A/dy² > 0

The maximum will occur at a boundary of the allowed values. Thus, the absolute maximum is for y = 23.

Note that a square has more area than a triangle and as such it is normal for the square to get the largest area over the triangle and therefore we will have to use all of the wire to construct the square.

6 0
3 years ago
The midpoint of ab is M (-1,-1).If the coordinates of A are (3,-6),what are the coordinates of B
daser333 [38]

Answer:-3,4

Step-by-step explanation:

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3 years ago
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