1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KengaRu [80]
3 years ago
9

3. Solve. Check Your Solutions z - 12 = 30

Mathematics
2 answers:
horrorfan [7]3 years ago
7 0

Answer:

z = 42

Step-by-step explanation:

If we want to solve this algebraic equation, we need to isolate z on one side.

z - 12 = 30

Add 12 to both sides:

z - 12+12 = 30+12\\\\z = 42

To check our work, let's substitute 42 in as z.

42 - 12 = 30

42 minus 12 is indeed 30.

Hope this helped!

olga_2 [115]3 years ago
6 0

Answer:

z = 42

Step-by-step explanation:

z - 12 = 30

Add 12 to each side

z - 12+12 = 30+12

z = 42

Check

42 - 12 = 30

30 = 30

You might be interested in
Solve 4y-1=7 plz step by step
miv72 [106K]
Hi,

Here we are going to be working on isolating the variable y, and seeing what its value equates to.

To do this, we must try and get the variable y on one side of the equation by itself. 

Let's look at step one -

<em>4y - 1 = 7
</em>
We want to get rid of the 1 since we need to isolate x. We do this by doing the inverse of its operation. Since 1 is negative, if we add positive 1 to it - we will get 0, thereby being closer to isolating y.

However, when we do something on one side of the equation we must do it on the other. This means we will add 1 on both sides.

<em>4y - 1 + 1 = 7 + 1
</em>
<em>4y = 8
</em>
<em />Remember how I mentioned we do the inverse of the operation? In this case, 4 is multiplying y. The inverse operation of multiplication is division. So, to get rid of the 4 - we must divide 4y by 4, on both sides.

<em>4y / 4 = 8 / 4
</em>
<em>y = 2
</em>
We now know the variable y is equal to 2. 

Hopefully, this helps. 
3 0
3 years ago
Read 2 more answers
A right triangle has legs of lengths 19 and 10 inches. Find the length of
AnnZ [28]

Answer:

21.5

Step-by-step explanation:

19^2+10^2=461

square root of 461 =21.47091055

round to the nearest tenth to get 21.5

7 0
2 years ago
Read 2 more answers
The Cartesian coordinates of a point are given. (a) (−5, 5) (i) Find polar coordinates (r, θ) of the point, where r &gt; 0 and 0
Alex73 [517]

Answer:

a)

(i) The coordinates of the point in polar form is (5√2 , 7π/4)

(ii) The coordinates of the point in polar form is (-5√2 , 3π/4)

b)

(i) The coordinates of the point in polar form is (6 , π/3)

(ii) The coordinates of the point in polar form is (-6 , 4π/3)

Step-by-step explanation:

* Lets study the meaning of polar form

- To convert from Cartesian Coordinates (x,y) to Polar Coordinates (r,θ):

1. r = √( x2 + y2 )

2. θ = tan^-1 (y/x)

- In Cartesian coordinates there is exactly one set of coordinates for any

 given point

- In polar coordinates there is literally an infinite number of coordinates

 for a given point

- Example:

- The following four points are all coordinates for the same point.

# (5 , π/3) ⇒ 1st quadrant

# (5 , −5π/3) ⇒ 4th quadrant

# (−5 , 4π/3) ⇒ 3rd quadrant

# (−5 , −2π/3) ⇒ 2nd quadrant

- So we can find the points in polar form by using these rules:

 [r , θ + 2πn] , [−r , θ + (2n + 1) π] , where n is any integer

 (more than 1 turn)

* Lets solve the problem

(a)

∵ The point in the Cartesian plane is (-5 , 5)

∵ r = √x² + y²

∴ r = √[(5)² + (-5)²] = √[25 + 25] = √50 = ±5√2

∵ Ф = tan^-1 (y/x)

∴ Ф = tan^-1 (5/-5) = tan^-1 (-1)

- Tan is negative in the second and fourth quadrant

∵ 0 ≤ Ф < 2π

∴ Ф = 2π - tan^-1(1) ⇒ in fourth quadrant r > 0

∴ Ф = 2π - π/4 = 7π/4

OR

∴ Ф = π - tan^-1(1) ⇒ in second quadrant r < 0

∴ Ф = π - π/4 = 3π/4

(i) ∵ r > 0

∴ r = 5√2

∴ Ф = 7π/4 ⇒ 4th quadrant

∴ The coordinates of the point in polar form is (5√2 , 7π/4)

(ii) r < 0

∴ r = -5√2

∵ Ф = 3π/4 ⇒ 2nd quadrant

∴ The coordinates of the point in polar form is (-5√2 , 3π/4)

(b)

∵ The point in the Cartesian plane is (3 , 3√3)

∵ r = √x² + y²

∴ r = √[(3)² + (3√3)²] = √[9 + 27] = √36 = ±6

∵ Ф = tan^-1 (y/x)

∴ Ф = tan^-1 (3√3/3) = tan^-1 (√3)

- Tan is positive in the first and third quadrant

∵ 0 ≤ Ф < 2π

∴ Ф = tan^-1 (√3) ⇒ in first quadrant r > 0

∴ Ф = π/3

OR

∴ Ф = π + tan^-1 (√3) ⇒ in third quadrant r < 0

∴ Ф = π + π/3 = 4π/3

(i) ∵ r > 0

∴ r = 6

∴ Ф = π/3 ⇒ 1st quadrant

∴ The coordinates of the point in polar form is (6 , π/3)

(ii) r < 0

∴ r = -6

∵ Ф = 4π/3 ⇒ 3rd quadrant

∴ The coordinates of the point in polar form is (-6 , 4π/3)

6 0
3 years ago
Pls help ASAP!!!!! Urgent
serg [7]
It is ASAF

In both Triangles,
AB = AD (Given)
AC = AE (Given)
∠CAB = ∠EAD (Vertically opposite angles)

So,
By SAS rule of congruency,

∆ABC = ∆ADE
6 0
3 years ago
The length of a rectangle field is 20 less than its width. The area of the field is 12000 ft ^2. What is the width of the field?
Naddik [55]
L = w - 20

12000 = w × ( w - 20 )
12000 = w^2 - 20w
w^2 - 20w - 12000 = 0
( w - 10 ) ( w - 10 ) = 0

width = 10

i am a mathematics teacher. if anything to ask please pm me
3 0
3 years ago
Other questions:
  • The rule for the following table is, "y equals 9 less than the triple of x."
    11·1 answer
  • Harold invested $30,000 in various stocks
    6·1 answer
  • 1. The height of a triangle is 6 m more than its base. The area of the triangle is 56 m². What is the length of the base? Enter
    15·2 answers
  • Help me with this please
    14·1 answer
  • I need help in this question
    6·1 answer
  • The three angles of a triangle are represented by (x+30),(4x+30),and (10x-30)
    10·1 answer
  • What’s the nth term for 3,4.5,6,7.5
    13·1 answer
  • NEED HELP ASAP PLEASE. picture for the question is there
    13·1 answer
  • Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total o
    11·1 answer
  • WHOEVER ANSWERS CORRECTLY I'LL GIVE BRAINLIEST!!!!!!!!!!!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!