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Kruka [31]
3 years ago
9

Which is equivalent to , and what type of special product is it?

Mathematics
1 answer:
mylen [45]3 years ago
3 0

Answer:

<h2>a perfect square trinomial</h2>

Step-by-step explanation:

The given expression is

(4xy-3z)^{2}

As you can observe this is a binomial expression under a square power. Additionally, this is a special product, which equivalent expression is a perfect square trinomial, because from this square power we get two perfect square and one linear term.

Therefore, the right answer is B.

Let's solve the expression to demonstrate what we said before

(4xy-3z)^{2}=(4xy)^{2} -2(4xy)(3z)+(3z)^{2}=16x^{2} y^{2} -24xyz+9z^{2}

As you can observe, the expression is equivalen to a trinomial.

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Find the value of x that will make A||B.<br> A<br> B<br> 4x<br> 2x<br> X =<br> ?
pashok25 [27]

Answer:

x = 30

Step-by-step explanation:

Lines A and B are parallel lines and a transverse line is intersecting these lines at two distinct points.

By the definition of interior consecutive angles, sum of the measures of interior consecutive angles is 180°.

4x + 2x = 180°

6x = 180

x = 30

Therefore x = 30 will be the answer.

8 0
3 years ago
10. A company is designing a new cylindrical water bottle. The volume
ValentinkaMS [17]

The radius of the water bottle to the nearest hundredth is 2.01 cm

<h3>How to calculate the volume of a cylinder</h3>

A cylinder is a solid figure with circular bases and height.

The volume of a cylinder = πr²h

h is the height  = 8.1cm

Volume = 103 cubic cm

Substitute into the formula to have
V = 3.14r² * 8.1
103 = 3.144 * 8.1 * r²

r = 2.01 cm

Hence the radius of the water bottle to the nearest hundredth is 2.01 cm

Learn more on volume of cylinder here: brainly.com/question/9554871

3 0
1 year ago
What is the answer to this <br> 25=-7(x+5)+5x
Aleksandr [31]

Answer:

x = -25

Step-by-step explanation:

25 = -7(x + 5) + 5x

25 = -7x - 25 + 5x

5x - 7x - 25 = 25

5x - 7x - 25 + 25 = 25 + 25

5x - 7x = 50

-2x = 50

-2x/-2 = 50/-2

x = -25

3 0
3 years ago
Read 2 more answers
7/19 en numero decimal​
Nataly [62]

Answer:   0.368421053

Step-by-step explanation:  19/7=0.368412053 :-)

5 0
3 years ago
while visiting a mountain, John approximated the angle of elevation to the top of a hill to be 25 degrees. Alfter walking 350 fe
strojnjashka [21]
There are several ways of going about this problem, but just know that it all boils down to triangles and the rules/laws of triangles.
So we start by making a large right triangle, because the hill is vertical with the horizontal ground, with 25° as the left angle (where John looks up to top), 90° is the right angle (where ground meets hill base). So we see that the top side of the triangle is the hypotenuse, and equals the line of sight from John to hilltop.
Now we've got additional information that if John walks 350ft towards the hill, his angle of elevation increases by 14. So that = 25+14 = 39. How does that possibly help us?? Well now we can make 2 triangles inside of the one we've already made. So that now we have the triangle base split between the left angle of 25° and where he stopped 350ft to the right of that.
Now the supplement of 39 is 141, and the remaining piece of that too left triangle = 180-25-141 = 14. What does that mean? Well now we have a triangle, where we know all 3 angles and 1 side --> we can find another side by the law of sines:
If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of sines states:
a÷sinA = b÷sinB = c÷sinC
We really need the hypotenuse to then find our hill height, so we'll make hypotenuse = side b in attached image. That being so, then its opposite angle (B) = 141. And the top right angle (C) = 14 with its opposite side (c) = 350ft.
Now we only need b÷sinB = c÷sinC
So b/sin141 = 350/sin14 --> b = 350sin141/sin14 = 350×.63/
b = 220.3/.24 = 910.47 ft
Now that's our hypotenuse, so using our original large right triangle, we can use right triangular trig. to solve. Let's make the right side, our hill height, equal to x.
Sin ¥ = opp. side / hypotenuse -->
Sin ¥ = x / hypotenuse
Sin25 = x / 910.5
x = 910.5×sin25 = 910.5×.423
x = 384.8 ft

3 0
3 years ago
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