MATHEMATICS HIGH SCHOOL

Which function is NOT linear? ☆y=x²+2 ☆y=3x ☆ y = 3x/4 ☆ x - y = 1

Answers

Answer 1

Answer:

Answer:

y = x^2 +2

Step-by-step explanation:

x^2 is parabolic not linear

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A cube with side length 5h^2 is stacked on another cube with side length 3k What is the total volume of the cubes in factored form?

Answers

Answer:

$(5h^2+3k)(25h^4-15h^2k+9k^2)$

Step-by-step explanation:

We have been given that a cube with side length 5h^2 is stacked on another cube with side length 3k.

Since we know that the volume of cube is $a^3$ , where a represents the length of each side of cube.

Since one cubes is stacked on another cube, so the total volumes of both cubes will be equal to the sum of volumes of both cubes.

$\text{Total volume of both cubes}=(5h^2)^3+(3k)^3$

Since the volume of both cubes is sum of cubes, so we will use formula:

$a^3+b^3=(a+b)(a^2-ab+b^2)$

So factoring the volumes of cubes using sum of cubes we will get,

$\text{Total volume of both cubes}=(5h^2+3k)((5h^2)^2-5h^2* 3k+(3k)^2)$

$\text{Total volume of both cubes}=(5h^2+3k)(25h^4-15h^2k+9k^2)$

Therefore, the total volume of both cubes in factored form will be: $(5h^2+3k)(25h^4-15h^2k+9k^2)$

In order to compute the combined volume of the cubes, we may simply add the individual volumes of the cube. The volume of a cube is equivalent to the cube of one of its sides. The volume of the first cube is (5h^2)^3 = 125h^6. The volume of the second cube is (3k)^3 = 27k^3. The total volume is: 125h^6 + 27k^3Hope this helps. Let me know if you need additional help!

Can you draw an isosceles triangle with only one 80 degree angle. Is this the only possibility or can another triangle be drawn that will meet these conditions?

Answers

Answer:

The correct answer is yes, we can draw an isosceles triangle with only one 80° angle. NO this is not the only possibility.

Step-by-step explanation:

A triangle is a three sided figure. There are three types of triangles: Equilateral, Isosceles and Scalene triangle. The sum of angles in a triangle is 180°.

If all sides have equal length then it is an equilateral triangle. All angles of this triangle are equal.

If two sides are equal then it is an isosceles triangle. Two opposite angles are equal.

If none of the angles and sides are equal then we call it a scalene triangle.

Given one angle of the triangle is 80°.

There exists two possibilities. One, 80° is the equal angle and 80° is not the equal angle.

Required Case : 80° is not the equal angle, i.e. only one 80° angle.

We are to draw an isosceles triangle (say ABC) with one angle say ∠A as 80°.

Other two angles (∠B and ∠C) are 50° each as the other two angles are supposed to be equal. ( $(180-80)/(2)$ °).

Now let us consider side AB and AC be of length say a. These two sides are equal.

Thus now we have successfully constructed an isosceles triangle with only one 80° angle.

We can get infinitely many isosceles triangle by just varying the length of the equal side.

A sailor on Ship A measures the angle between Ship B and the pier and finds it to be 39°. A sailor on Ship B measures the angle between Ship A and the pier and finds that it is 58°. What is the measure of the angle between Ship A and Ship B?The measure between Ship A and Ship B is

Answers

Answer:

$83^(\circ)$

Step-by-step explanation:

Let $C$ be the point that denotes the pier.

$m\angle B=58^(\circ)$

$m\angle A=39^(\circ)$

The angle between A and B is C

$m\angle A+m\angle B+m\angle C=180^(\circ)\n\Rightarrow m\angle C=180^(\circ)-(m\angle A+m\angle B)\n\Rightarrow m\angle C=180^(\circ)-(58^(\circ)+39^(\circ))\n\Rightarrow m\angle C=83^(\circ)$

The measure of the angle between Ship A and Ship B is $83^(\circ)$ .

What is the length of line segment VT?4 units
8 units
13 units
14 units

Answers

The solution is, the length of line segment VT is 13 units.

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, given that, point P is between V and T,

Then, V&T are the endpoints & P is on the line.

V---------------------P--------------------T

So, we get, VP+PT=VT

from the given figure we get,

The solution is, the length of line segment VT is 13 units.

To learn more on Equation 0f Straight-Line click:

brainly.com/question/11116168

#SPJ6

Answer:

C. 13

Step-by-step explanation: