Make y the subject of the formula
w= x² – 2yz
Choose the correct answer.
W-x?
- W
Ay= 2z
B
c y= x-
2z
x? – W
Dy=
2z
E y = W + 22
2

Answer:

None, there are no degrees/exponents

Step-by-step explanation:

Hope this is helpful :)

Answer:

has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term

Given:

A right triangle has legs of 18 inches and 24 inches.

The short leg is increasing by 4 in/sec and the long leg is  shrinking at 9 in/sec.

To find:

The rate of change of the hypotenuse.

Solution:

Let x be the shorter leg (Base), y be the larger leg (Perpendicular) and z be the hypotenuse.

We have,

[tex]\dfrac{dx}{dt}=4\text{ in/sec}[/tex]

[tex]\dfrac{dy}{dt}=-9\text{ in/sec}[/tex]

[tex]x=18[/tex]

[tex]y=24[/tex]

According to the Pythagoras theorem,

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

[tex]z^2=x^2+y^2[/tex]           ...(i)

[tex]z^2=(18)^2+(24)^2[/tex]

[tex]z^2=324+576[/tex]

[tex]z^2=900[/tex]

Taking square root on both sides.

[tex]z=\pm \sqrt{900}[/tex]

Side cannot be negative. So,

[tex]z=30[/tex]

Differentiating (i) with respect to time t, we get

[tex]\dfrac{d}{dt}z^2=\dfrac{d}{dt}(x^2+y^2)[/tex]

[tex]2z\dfrac{dz}{dt}=2x\dfrac{dx}{dt}+2y\dfrac{dy}{dt}[/tex]

[tex]2(30)\dfrac{dz}{dt}=2(18)(4)+2(24)(-9)[/tex]

[tex]60\dfrac{dz}{dt}=144-432[/tex]

[tex]60\dfrac{dz}{dt}=-288[/tex]

Divide both sides by 60.

[tex]\dfrac{dz}{dt}=\dfrac{-288}{60}[/tex]

[tex]\dfrac{dz}{dt}=-4.8[/tex]

Here, negative sign means hypotenuse is decreasing.

Therefore, the hypotenuse is shrinking at 4.8 in/sec.

Answer:

Zero!!

Zero can't be divided and when multiplied, will result 0.

Answer:

answer in picture

Step-by-step explanation:

I'm pretty sure the answer is 1.

Step-by-step explanation:

x and y

because its a symbol where they are unknown and unknown numbers in Algebra are so-called variables

I hope this answered your question

In this option, the answer will be option A

X and Y

Answer:

20.2 miles

Step-by-step explanation:

This can be described by the three sides of a right angled triangle. Let the distance of the glider to the airport be represented by x, applying the Pythagoras theorem:

[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

[tex]/24/^{2}[/tex] = [tex]/x/^{2}[/tex] + [tex]/13/^{2}[/tex]

576 = [tex]x^{2}[/tex] + 169

[tex]x^{2}[/tex] = 576 - 169

   = 407

x = [tex]\sqrt{407}[/tex]

  = 20.1742

x = 20.2 miles

The glider has to fly 20.2 miles to return to the airport.

Answer:

D

Step-by-step explanation:

Answer:

A4 = 2:37

Step-by-step explanation:

Given:

A1 = 3:22

A2 = 3:07

A3 = 2:52

Find:

Next A4

Computation:

d = A2 - A1

d = 3:07 - 3:22

d = -0:15

A4 = A3 + d

A4 = 2:52 + (-0:15)

A4 = 2:37

Answer:

Undefined

Step-by-step explanation:

Answer:

ok thanks. your nice to help

Answer:

(4,14)

Step-by-step explanation:

plug in ordered pairs for the given equation and see which one works. ordered pairs are simply (x,y) and the equation just so happens to have x and y variables. when x in the equation equals 4 then 3.5*4 is equal to 14 which is the y value of the first ordered pair. try it with the others and they don't work. is x equaled 28 then 3.5*28 is 98 and that paired y is only 8 so no. do it with all ordered pairs if you must. it's an elimination game

The ordered pairs (4, 14), and (3, 28) satisfy the equation y = 3.5x.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x,y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

The given equation for the pounds of fruits 'x' and the total cost 'y' is,

y = 3.5x.

Now, The ordered pairs that satisfy the equation can be obtained by putting the value of 'x' and checking the corresponding 'y' value.

(4, 14).

y = 3.5×4.

y = 14. (satisfies).

Similarly,

(3, 28), also satisfies the equation y = 3.5x.

learn more about equations here :

https://brainly.com/question/10413253

#SPJ2

Answer:

The number of minutes Austin exercises is t > 35 minutes/day

Step-by-step explanation:

The number of minutes Austin exercises each day can be expresses as an inequality, which defines a region of feasible values within a range of values.

The number of minutes Austin exercises each day  > 35 minutes

Let t represent the number of minutes Austin exercises, we can write;

The number of minutes Austin exercises is t > 35 minutes/day

Answer:

t > 35

Step-by-step explanation:

Answer:

The measure of an interior angle of a regular 15-gon is 120°.

Step-by-step explanation:

We need to determine the measure of the size of an interior angle of a regular 15-gon having 15 sides.

Thus,

The number of sides n = 15

Hence,

Using the formula to determine the measure of an interior angle of a regular 15-gon is given by

(n - 2) × 180° = n × interior angle

substitute n = 15

(15 - 2) × 180 = 15 × interior angle

13 × 180 = 15 × interior angle

Interior angle = (10 × 180) / 15

                      = 1800 / 15

                      = 120°

Therefore, the measure of an interior angle of a regular 15-gon is 120°.

Answer:

16. Square

17. Rectangle

Step-by-step explanation:

16. All of the sides are equal and all of the angles are equal at 90° each

17. The longer sides are equal to each other and the shorter sides are equal to each other. The angles are all equal and and are all equal at 90° each.

Hope this helps!

Answer:

2112 quarts in 48 hr

1056 quarts made per day

Step-by-step explanation:

to find out how many quarts in one hour divide 220 by 5

220÷5=44

then multiply by 24 to know how much quarts made per day

44×24=1056

then multiply by two to know how many quarts in 48 hours

1056×2=2112

Answer:7

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 trust me

Answer:

No.

Step-by-step explanation:

Waves are energy moving through the matter, but they leave the matter in the same place as they pass through.

Answer:

3 feet tall

Step-by-step explanation:

Answer:

she spent approximately 7.3 months abroad in total

Step-by-step explanation:

1.3+3.2+2.6= 7.3

Answer:

Length: 16m

Width: 12m

Area: 192 square meters

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

Length-16m

Width-12m

Area-192m

Step-by-step explanation:

Formula- 3cm=4m

12/3=4

4x4=16

Length-16m

9/3=3

3x4=12

Width-12m

16m x 12m = 192m

Answer:

1 : 4 : 9

Step-by-step explanation:

Given the ratio of diameters = a : b , then

ratio of areas = a² : b²

Here ratio of diameters = 1 : 2 : 3 , so

ratio of areas = 1² : 2² : 3² = 1 : 4 : 9

Answer:

i need this too

Step-by-step explanation:

Answer:

no thanks asap!!!

Step-by-step explanation:

Answer: 750 cm^2

Step-by-step explanation:

Answer:

The answer is: y=5x-4 (you had it right)

Answer:

1/8

1/2 divided by 4 = 1/8

Step-by-step explanation:

50 degrees

Step-by-step explanation:

the x is 0 so 0 -50 is 50 so your answer is 50 degrees