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Ratling [72]
3 years ago
6

Solve this system using the linear combination method. Show your work and explain each step. 2x + y = 8 x − y = 4

Mathematics
1 answer:
Furkat [3]3 years ago
3 0

Answer:

Step-by-step explanation:

Subtract 2x

from both sides of the equation.

y=8−2x

x−y=2

Replace all occurrences of y

in x−y=2 with 8−2x

.

y=8−2x

x−(8−2x)=2

Simplify the left side.

Tap for more steps...

y=8−2x

3x−8=2

Solve for x

in the second equation.

Tap for more steps...

y=8−2x

x=103

Replace all occurrences of x

in y=8−2x with 103

.

y=8−2(103)

x=103

Simplify 8−2(103)

.

Tap for more steps...

y=43

x=103

The solution to the system of equations can be represented as a point.

(103,43)

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Help me with this plzzzzz I need to finish it rn so PLZZ help asp
garri49 [273]

Answer:

1. 16π

2. 112π

3. 351.68

Step-by-step explanation:

Area of a circle = πr^2

Substitute...

=4^2π

=16π

To find the how much fluid it can hold, just basically find its volume. To do that, you mutiply the area of the base by the height. So...

16π*7=122π

You then just subsitute π by 3.14 so...

122(3.14)=351.68

4 0
3 years ago
Examine the right triangle. A right triangle with side lengths 17 centimeters and 48 centimeters. The hypotenuse is unknown. Wha
Dimas [21]

Answer:

The answer to your question is  c = \sqrt{2593}

Step-by-step explanation:

Data

right triangle

short leg = 17 cm

long leg = 48 cm

hypotenuse = ?

Process

-Use the Pythagorean theorem to find the answer

              c² = a² + b²

c = hypotenuse

a = short leg = 17 cm

b = long leg = 48 cm

- Substitution

             c² = 17² + 48²

-Simplification

             c² = 289 + 2304

             c² = 2593

-Result

             c = \sqrt{2593}

5 0
3 years ago
Read 2 more answers
Use the given data to find the best predicted value of the response variable x. Ten pairs of data yield r=0.003 and the regressi
Angelina_Jolie [31]

Answer:

Step-by-step explanation:

Given the regression equation :

y=2+3x

Mean of y values ; y = 5.0

Where y is the predicted variable ; x = predictor variable

The predicted value of y for X = 2

Null: H0 = 5

Alternative H1 : ≠ 5

Sample size (n) = 10 pairs

Degree of freedom = n - 2 = 10 - 2 = 8

7 0
3 years ago
Given the function h(x) =1/3 |x-6| +4, evaluate the function when x = - 3, - 2, and 0
Masja [62]

|x| = x for x ≥ 0

examples:

|3| = 3; |0.56| = 0.56; |102| = 102

|x| = -x for x < 0

examples:

|-3| = -(-3) = 3; |-0.56| = -(-0.56) = 0.56; |-102| = 102

--------------------------------------------------------------------------------

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

--------------------------------------------------------------------------------

h(x)=\dfrac{1}{3}|x-6|+4

Put the values of x to the equation of the function h(x):

x=-3\to h(-3)=\dfrac{1}{3}|-3-6|+4=\dfrac{1}{3}|-9|+4=\dfrac{1}{3}(9)+4=3+4=7\\\\x=-2\to h(-2)=\dfrac{1}{3}|-2-6|+4=\dfrac{1}{3}|-8|+4=\dfrac{1}{3}(8)+4=\dfrac{8}{3}+\dfrac{12}{3}=\dfrac{20}{3}\\\\x=0\to h(0)=\dfrac{1}{3}|0-6|+4=\dfrac{1}{3}|-6|+4=\dfrac{1}{3}(6)+4=2+4=6


6 0
3 years ago
Mr Tay had 265 m of wire.
Ahat [919]

Answer:6

Step-by-step explanation:

265-25

240/4

6

8 0
3 years ago
Read 2 more answers
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