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Alekssandra [29.7K]
3 years ago
9

Which point is located in quadrant IV?

Mathematics
1 answer:
alex41 [277]3 years ago
6 0
Quadrant General Form of Point in this Quadrant Example
I (+, +) (5, 4)
II (−, +) (−5, 4)
III (−, −) (−5, −4)
IV (+, −) (5, −4)
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Solve the system using substitution.<br> y - 3x = 1<br> 2y - x = 12<br> ([?], [])
anyanavicka [17]

Answer:

(2, 5)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y - 3x = 1

2y - x = 12

<u>Step 2: Rewrite Systems</u>

y - 3x = 1

  1. Add 3x on both sides:                    y = 3x + 1

<u>Step 3: Redefine Systems</u>

y = 3x + 1

2y - x = 12

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                    2(3x + 1) - x = 12
  2. Distribute 2:                         6x + 2 - x = 12
  3. Combine like terms:           5x + 2 = 12
  4. Isolate <em>x</em> term:                     5x = 10
  5. Isolate <em>x</em>:                              x = 2

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    2y - x = 12
  2. Substitute in <em>x</em>:                       2y - 2 = 12
  3. Isolate <em>y </em>term:                        2y = 10
  4. Isolate <em>y</em>:                                 y = 5
4 0
2 years ago
A mixed number has a whole number part and a fractional part. <br>O A. True <br>O B. False​
scoray [572]

Answer: True

Step-by-step explanation:

The statement that a mixed number has a whole number part and a fractional part is true.

The mixed number is made up of a whole number, and a proper fraction. A mixed number simply means a number that is between any two whole numbers. Examples of mixed numbers are 4¾, 7½ etc.

6 0
2 years ago
If x+1 and x-1 are the factors of the polynomial ax^3 + x^2 - 2x +b,find the values of a and b
Nadusha1986 [10]

The polynomial remainder theorem says that dividing a polynomial p(x) by x-c leaves a remainder of p(c)=0 if x-c is a factor of p(x). In this case, check c=-1 and c=1.

a(-1)^3+(-1)^2-2(-1)+b=-a+b+3=0

a(1)^3+(1)^2-2(1)+b=a+b-1=0

From the first equation,

-a+b+3=0\implies a=b+3

and substituting into the second gives

(b+3)+b-1=0\implies2b+2=0\implies b=-1\implies a=2

3 0
3 years ago
A one-year-old car is now worth AED 12 000.
masha68 [24]

Answer:

AED 15,000

Step-by-step explanation:

Depreciation is a reduction in the value or worth of an asset as a result of use.

Given that the car is depreciated by 20%, it means that the value of the car after the application of depreciation is the result of the original price of the car less the amount of depreciation which has been given as 20% of the original price.

Let the original price of the car (its price when it was new) be T then

T - 0.2T = 12,000

0.8T = 12,000

T = 12,000/0.8

= AED 15,000

3 0
3 years ago
How many solutions does a triangle with values a=42, A=117 degrees, and b=34 have?
tatyana61 [14]

Answer:one solution

Step-by-step explanation:

Given

a=42

b=34

angle A=117

using sine rule

\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}

\frac{42}{sin117}=\frac{34}{sinB}

sinB=\frac{34}{42}\times sin(117)

sinB=0.7212

B=46.161 ^{\circ}

and A+B+C=180

C=16.839^{\circ}

Thus 2 triangles can be formed with given value

8 0
2 years ago
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