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4 years ago

Identify the polynomial. x3- y3 + z

2 answers:

4 0

This is a 3rd degree trinomial. It has 3 terms and the highest power of any term is 3. The number of terms tells you that it is a TRInominal. Terms are separated by operators (+, -).

olga nikolaevna [1]4 years ago

3 0

Trinomials are the the polynomials in which the variable has the highest degree of 3<span>
So it is a trinomial"</span>

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Write an equation of the line that passes through (2,7) and is parallel to the line shown ( please help !! )

Anna007 [38]

Answer:

$y=2x+3$

Step-by-step explanation:

We will first need to determine the slope of the line shown.

We know that it passes through the two points (-2, -2) and (1, 4).

Thus, we can use the slope formula to find the slope between the two points:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:

$\displaystyle m=\frac{4-(-2)}{1-(-2)}=\frac{6}{3}=2$

Hence, the slope of the original line was 2.

Since we want the new line to be parallel, the slope of the new line must also be 2.

We know that the slope is 2 and it passes through the point (2, 7).

So, we can use the point-slope form:

$y-y_1=m(x-x_1)$

We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:

$y-7=2(x-2)$

Solve for y. Distribute the right:

$y-7=2x-4$

Add 7 to both sides. Hence, our equation is:

$y=2x+3$

6 0

3 years ago

The circle below is centered at the point (4, -3) and has a radius of length 3. What is its equation?

MissTica

Answer:

(x-4)² + (y+3)² = 9

Step-by-step explanation:

The equation of a circle of radius r centered at (h, k) is ...

... (x-h)² + (y-k)² = r²

Subsituting your given values gives ...

... (x -4)² +(y -(-3))² = 3²

... (x -4)² +(y +3)² = 9

8 0

3 years ago

A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in. squares from each corner and

mojhsa [17]

Answer:

The size of the cardboard should be $26 in\ by\ 26in$

Step-by-step explanation:

The diagram for this question is shown on the first uploaded image

The volume of the box is $V = 2527 \ in ^3$

The length and the Width of the card is

L = W = Z

From the question we are told that 7 in squares were cut from each corner

So the length and the width of the box would be

L = W = (Z - 7)

And the height would be H = 7 in

Mathematically the volume of the box can be represented as

$V = Length\ of\ bx * Width\ of\ box * Height\ of\ box$

So the Volume would be

$V = (Z-7)(Z-7) * 7$

Substituting values

$(Z-7) ^2 = \frac{2527}{7}$

$(Z-7) ^2 = 361$

$(Z-7) ^2 = 19^2$

=> $Z - 7 = 19$

$Z = 19 + 7$

$Z =26 \ in$

7 0

3 years ago

If there are 1500 guests, only 1 of them brought a coupon for free admission to the carnival?

wlad13 [49]

So 1/50 brought the pass
x out 1500
1/50 = x/1500
cross multiply
1500 = 50x
divide both sides by 50
30 = x

You can expect for 30 out of the 1,500 to receive free admissions.

Hope this helps

4 0

3 years ago

Activity which odd number comes immedediatly before 87?

sergejj [24]

85 comes immediately before

6 0

3 years ago