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3 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]3 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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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

3 years ago

50 points

Leya [2.2K]

Answer:

$\frac{2}{4} inch$

Step-by-step explanation:

Step 1

List the length of the wingspan of the five butterflies

$\frac{1}{4}, \frac{1}{4}, 1, \frac{2}{4}, \frac{3}{4}$

Step 2:

The two butterflies with the shortest wingspan has a wing length of $\frac{1}{4}$ inches each.

Step 3:

Total length of the wingspan of the two butterflies with the shortest wingspan

= $=\frac{1}{4} +\frac{1}{4} \\
 = \frac{2}{4}$

Final answer:

= $\frac{2}{4} inch$

5 0

2 years ago

How will the area of the circle change if it is dilated by a scale factor of 1/2? The area will be 2 times greater than the orig

coldgirl [10]

We know that

[scale factor]=1/2
[dilated area of circle]=[original area of circle]*[scale factor]²
so
[dilated area of circle]=[original area of circle]*[1/2]²
[dilated area of circle]=[original area of circle]*[1/4]

therefore

the answer is
<span>The area will be 1/4 the original</span>

7 0

3 years ago

Read 2 more answers

3 15/16 divided by 2 5/8Ask your question here

Alexeev081 [22]

$\frac{3 \frac{15}{16} }{2 \frac{5}{8}} \\ \\ \frac{ \frac{63}{16} }{ \frac{21}{8} } \\ \\ \frac{63}{16}*\frac{8}{21} \\ \\ \frac{63*8}{16*21} \\ \\ \frac{504}{336} \\ \\ 1 \frac{168}{336} \\ \\ 1 \frac{168:168}{336:336} \\ \\ 1 \frac{1}{2}$

3 0

2 years ago

6×?×3=90 what's supposed to go in the ? Slot

bonufazy [111]

Answer:

Step-by-step explanation:

6 x 3 = 18

90 / 18 = 5

3 0

3 years ago

Read 2 more answers