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3 years ago

Given parallelogram ABCD, solve for x

Mathematics

1 answer:

kumpel [21]3 years ago

8 0

Answer:

x=5

Step-by-step explanation:

Set your equation up as following:

6x-10=3x+5

move the 3x to the left side by substracting

3x-10=5

now add 10 to the right side

3x=15

Divide 15 by 3 to isolate x

x=15/3

x=5

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Solve the following pair of equations simultaneously.

Alchen [17]

Answer:

No solutions.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing
Expanding
Finding roots of a quadratic
Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

Step 1: Define systems

2x - y = 9

4x² + 3y² - 2x + y = 16

Step 2: Rewrite systems

2x - y = 9

Subtract 2x on both sides: -y = 9 - 2x
Divide -1 on both sides: y = 2x - 9

Step 3: Redefine systems

y = 2x - 9

4x² + 3y² - 2x + y = 16

Step 4: Solve for x

Substitution

Substitute in y: 4x² + 3(2x - 9)² - 2x + (2x - 9) = 16
Expand: 4x² + 3(4x² - 36x + 81) - 2x + (2x - 9) = 16
Distribute 3: 4x² + 12x² - 108x + 243 - 2x + 2x - 9 = 16
Combine like terms: 16x² - 108x + 234 = 16
Factor GCF: 2(8x² - 54x + 117) = 16
Divide 2 on both sides: 8x² - 54x + 117 = 8
Subtract 8 on both sides: 8x² - 54x + 109 = 0
Define variables: a = 8, b = -54, c = 109
Resubstitute: $x=\frac{54\pm\sqrt{(-54)^2-4(8)(109)} }{2(8)}$
Exponents: $x=\frac{54\pm\sqrt{2916-4(8)(109)} }{2(8)}$
Multiply: $x=\frac{54\pm\sqrt{2916-3488} }{16}$
Subtract: $x=\frac{54\pm\sqrt{-572} }{16}$

Here we see that we start to delve into imaginary roots. Since on a real number plane, we do not have imaginary roots, there would be no solution to the systems of equations.

Step 5: Graph systems

We can verify our results.

8 0

3 years ago

The ratio of two number is 7 to 3 and their sum is 50 find the two number

yKpoI14uk [10]

Answer:

35:15

Step-by-step explanation:

7:3=10 (7+3)

14:6=20 (14+6)

21:9=30 (21+9)

28:12=40 (28+12)

35:15=50 (35+15)

There is a more mathematical way to solve this but it isn't coming to mind rn so

4 0

3 years ago

Help please this is due at 12 !!!

Blababa [14]

Answer:

Angle BC, because 70+20 = 90

Step-by-step explanation:

8 0

2 years ago

A bow and arrow hunter walks toward the origin along the positive x-axis, with unit speed. At time 0, he is at x=10. His arrow (

Tamiku [17]

Answer:

Step-by-step explanation:

Complete question:

Vector Functions and Parametric Equations

A bow-and-arrow hunter walks toward the origin along the positive x-axis, with unit speed; at time 0 he is at x = 10. His arrow (of unit length) is aimed always toward a rabbit hopping with constant velocity √5 in the first quadrant along the line y = 2x; at time 0 it is at the origin.

a) Write down the vector function A(t) for the arrow at time t.

b) The hunter shoots (and misses) when closest to the rabbit; when is that?

Answer:

Attached

5 0

3 years ago

The most Stanley can afford to pay per year in mortgage payments is $12,000, and his credit score is currently 544. According to

stepan [7]

B. Is the correct answer

5 0

2 years ago