All categories

2 years ago

Which polynomial is in standard form?

Mathematics

2 answers:

Neko [114]2 years ago

8 0

Answer:

D 2x^3+4x^2-7x+5

Step-by-step explanation:

I just took the test

Dafna11 [192]2 years ago

6 0

The fourth one is in standard form

You might be interested in

Find the value of x, y, and z in the rhombus below.

Yuki888 [10]

Solution:

It should be noted:

Opposite sides of a rhombus are always equal.
Opposite angles of a rhombus are always equal.

Thus:

(-y - 10) = 90°
3z - 3 = 90°
4x - 2 = 90°

Finding x:

4x - 2 = 90°
=> 4x = 90 + 2
=> 4x = 92
=> x = 23

Finding y:

(-y - 10) = 90°
=> -y - 10 = 90°
=> -y = 100
=> y = -100

Finding z:

3z - 3 = 90°
=> 3z = 90 + 3
=> 3z = 93
=> z = 31

4 0

2 years ago

Read 2 more answers

2/3y + 15 = 9 What are the steps for this question

xenn [34]

Answer:

see below

Step-by-step explanation:

2/3y + 15 = 9

Subtract 15 from each side

2/3y + 15-15 = 9-15

2/3y = -6

Multiply each side by 3/2 to isolate y

3/2 * 2/3y = -6 *3/2

y = -9

4 0

3 years ago

Read 2 more answers

How do you find the height of a triangle (to calculate area)?

Lilit [14]

Answer:

The height of the triangle could be found by the Pythagoras theorem, where the result is, with the data of the exercise:

Height of the triangle = 10.392

And the area of the triangle is:

Area of the triangle = 31.176 units^2

Step-by-step explanation:

When you have two measurements of a triangle, as the case in the picture, you can find the third with the Pythagoras theorem, which is:

(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2

As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:

(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2
(adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2

Now, we can replace the values in the formula obtained:

(adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2
(adjacent leg)^2 = 12^2 - 6^2
(adjacent leg)^2 = 144 - 36
(adjacent leg)^2 = 108

Now, as we just need the adjacent leg, we take the square root of both sides:

adjacent leg = $\sqrt{108}$
adjacent leg = 10.392 approximately.

Now, with these data, we can find the area of the triangle with the next formula:

Area of a triangle = (base * height) / 2
And we replace the measurements:
Area of a triangle = (6 * 10.392) / 2
Area of a triangle = 31.176

As the image does not contain units, it would be simply this number, however, you should know that the area units are usually given squared, for example: in^2 or ft^2.

4 0

2 years ago

From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many dif

Romashka [77]

Answer:

11,880 different ways.

Step-by-step explanation:

We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.

We will use permutations for solve our given problem.

$^nP_r=\frac{n!}{(n-r)!}$ , where,