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3 years ago

Solve the equation 4y-2=26 A y=7 B y=6 C y=3 D Y=26

Mathematics

2 answers:

Lady_Fox [76]3 years ago

6 0

If 4y-2=26 then 4y=26+2
4y=28 divide both side by 4
y=28/4=7 opt A

ASHA 777 [7]3 years ago

5 0

Answer: A- y=7.

Move all terms that don't contain y to the right side and solve.

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Write the complex number in polar form:

emmasim [6.3K]

9514 1404 393

Answer:

2√30 ∠-120°

Step-by-step explanation:

The modulus is ...

√((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30

The argument is ...

arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle

The polar form of the number can be written as ...

(2√30)∠-120°

_____

Additional comments

Any of a number of other formats can be used, including ...

(2√30)cis(-120°)

(2√30; -120°)

(2√30; -2π/3)

2√30·e^(i4π/3)

Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).

At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)

6 0

3 years ago

To qualify for the championship a runner must complete the race in less than 55 minutes ....... Use "t" to represent the time in

Svet_ta [14]

The inequality is t < 55

Solution:

Given that, To qualify for the championship a runner must complete the race in less than 55 minutes

Let "t" represent the time in minutes of a runner who qualifies for the championship

Here it is given that the value of t is less than 55 minutes

Therefore, "t" must be less than 55, so that the runner qualifies the championship

This is represented by inequality:

$t$

The above inequality means, that time taken to complete the race must be less than 55 for a runner to qualify

Hence the required inequality is t < 55

3 0

3 years ago

Please help me with my algebra homework?

USPshnik [31]

Answer:

Step-by-step explanation:

a=1

r=-6/1=-6

$S_{7}=a\frac{1-r^n}{1-r} =1\frac{1-(-6)^7}{1-(-6)} \\=\frac{1+6^7}{1+6} \\=\frac{1+279936}{7} \\=\frac{279937}{7} \\=39991$

4 0

2 years ago

Paul has 12 coins in his pocket, consisting entirely of dimes and quarters. If he has a total of 195 cents in coins, how many co

anyanavicka [17]

Let x be the number of dimes

and y be the number of quarters

Total number of coins = 12

So number of dimes + number of quarters = total number of coins

x + y = 12 ---------> equation 1

We know, 1 Quarter = 25 cents, 1 Dime = 10 cents, total cents = 196

y quarters = 25y cents , x dimes = 10x cents

x dimes + y quarters = 195 cents

10x + 25y = 195 -----------> equation 2

Now solve both equations

x + y =12, we solve for y by subtracting x on both sides

y = 12-x

Now substitute y in second equation

10x + 25(12-x) = 195

10x + 300 -25x = 195 (combine like terms)

-15x + 300 = 195 (subtract 300 on both sides)

-15x = -105 ( divide by -15)

x=7

y= 12-x

y=12-7 = 5

The number of dimes = 7

Number of quarters = 5

8 0

2 years ago

Consider this composite figure.

damaskus [11]

Answer:v=4

v=16

v=4/3

v=64/3

Step-by-step explanation: i just did the assignment.

4 0

3 years ago