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d1i1m1o1n [39]
2 years ago
12

A set of equations is given below: Equation A: y = 2x + 8 Equation B: -4x + 2y = 16 Which of the following options is true about

the solution to the given set of equations? a No solution b One solution c Two solutions d Infinite solutions
Mathematics
2 answers:
jolli1 [7]2 years ago
8 0

Solution:

<u>Step-1: Convert Equation B into slope intercept form.</u>

  • -4x + 2y = 16
  • => 2y = 4x + 16
  • => y = 2x + 8

<u>Step-2: Compare both equations to make a conclusion.</u>

  • y = 2x + 8 and y = 2x + 8

Since both equations are the same, we can make a conclusion that both equations have infinite solutions.

blsea [12.9K]2 years ago
8 0

Answer:

d) Infinite solutions

Step-by-step explanation:

y = 2x + 8

-4x + 2y = 16

-4x + 2(2x + 8) = 16

-4x + 4x + 16 = 16

0x + 16 = 16

16 = 16

These equations have Infinite solutions

Hope this helps!

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Someone help me please
Masteriza [31]

Answer:

(5,1)

Step-by-step explanation:

Hi there!

Midpoint = \displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ) where the two endpoints are (x_1,y_1) and (x_2,y_2)

Plug in the given information:

Midpoint = (5,3), Endpoint = (5,5)

(5,3)=\displaystyle (\frac{5+x_2}{2},\frac{5+y_2}{2} ) where  (x_2,y_2) is the other endpoint

Solve for x_2:

\displaystyle \frac{5+x_2}{2} =5\\\\5+x_2 =10\\x_2 =5

Solve for y_2:

\displaystyle\frac{5+y_2}{2}=3 \\\\{5+y_2}=6\\y_2=1

Therefore, the other endpoint (x_2,y_2) is (5,1).

I hope this helps!

4 0
3 years ago
Read 2 more answers
Find the derivative of
kirill [66]

Answer:

\displaystyle y'(1, \frac{3}{2}) = -3

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<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Functions
  • Function Notation
  • Terms/Coefficients
  • Exponential Rule [Rewrite]:                                                                              \displaystyle b^{-m} = \frac{1}{b^m}

<u>Calculus</u>

Derivatives

Derivative Notation

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle y = \frac{3}{2x^2}<u />

\displaystyle \text{Point} \ (1, \frac{3}{2})

<u>Step 2: Differentiate</u>

  1. [Function] Rewrite [Exponential Rule - Rewrite]:                                            \displaystyle y = \frac{3}{2}x^{-2}
  2. Basic Power Rule:                                                                                             \displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}
  3. Simplify:                                                                                                             \displaystyle y' = -3x^{-3}
  4. Rewrite [Exponential Rule - Rewrite]:                                                              \displaystyle y' = \frac{-3}{x^3}

<u>Step 3: Solve</u>

  1. Substitute in coordinate [Derivative]:                                                              \displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}
  2. Evaluate exponents:                                                                                         \displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}
  3. Divide:                                                                                                               \displaystyle y'(1, \frac{3}{2}) = -3

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

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solong [7]

Answer:

3.605 ft is the answer.

Step-by-step explanation:

Applying Pythagoras theorem,

a^2 + b^2 = c^2

2^2 + 3^2 = c^2

4 + 9 = c^2

13 = c^2

3.605 = c

therefore, the answer is 3.605.

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The maximum is 5, and the minimum is 1. The max. is in the are on the same side, which combines forces of 3 and 2. The min. uccors when they are on opposite sides.
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3 years ago
The measures of two complementary angles have a ratio of 3:2 what is the meusure of the larger angle
ozzi

Answer:

54

Step-by-step explanation:

The two angles add to 90 degrees since they are complementary

the ratio is 3:2

Multiply by x

3x:2x

Add them together and set equal to 90

3x+2x=90

5x=90

Divide each side by 5

5x/5 = 90/5

x = 18

The first angle is 3*18 = 54

The second angle is 2*18 = 36

4 0
3 years ago
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