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3 years ago

-2(x-5)=6(2- 1/2x) Please show your work. Distributive property, remove variable

Mathematics

1 answer:

schepotkina [342]3 years ago

6 0

The solution of given equation is x=2

Further explanation:

In order to solve the given equation we have to isolate the variable x on one side of the equation. The process will involve distributive property and simplification.

Given:

$-2(x-5)=6(2-\frac{1}{2}x)\\Apply\ distributive\ property\\-2x-2(-5)=(6)(2)-(6)(\frac{1}{2}x)\\-2x+10=12-\frac{6}{2}x\\-2x+10=12-3x\\-2x+3x=12-10\\x=2$

The solution of given equation is x=2

Keywords: Linear Equation, Distributive property

Learn more about linear equations at:

#LearnwithBrainly

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Evaluate the function f(x) =1/2 x + 3<br> ASAP

Salsk061 [2.6K]

Answer:5

Step-by-step explanation:

f(4)= ((1/2)*4)+3= 2+3=5

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3 years ago

A line passes through the point (2 comma negative 2 comma 10 ), and is parallel to the vector 9 Bold i plus 7 Bold j plus 10 Bo

lyudmila [28]

Title:

<h2>The standard parametric equation for the line is $\frac{x - 2}{9} = \frac{y + 2}{7} = \frac{z - 10}{10}$ .</h2>

Step-by-step explanation:

The standard parametric equation for a line generally represented as $\frac{x - a}{l} = \frac{y - b}{m} = \frac{z - c}{n}$ ; where (a, b, c) is the point that the line passes through and (l, m, n) is the direction vector of the line.

It is given that the line passes through the point (2, -2, 10).

Hence, here (a, b, c) ≡ (2, -2, 10).

Similarly, the direction vector of the line is given by (l, m, n) ≡ (9, 7, 10).

Putting all the values in the equation of the line, the equation becomes

$\frac{x - 2}{9} = \frac{y + 2}{7} = \frac{z - 10}{10}$ .

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2 years ago

Evaluate the expression under the given conditions. tan(2); cos() = 5 13 , in quadrant i

Nataliya [291]

The solution to given expression tan(2θ) is 22.615°

For given question,

We have been given an expression tan(2θ)

Given that cos(θ) = 5/13, and θ is in quadrant 1.

We know that the trigonometric identity

sin²θ + cos²θ = 1

⇒ cos²θ = (5/13)²

⇒ sin²θ = 1 - 25/169

⇒ sin²θ = 169 - (25/169)

⇒ sin²θ = 144/169

⇒ sin(θ) = 12/13

We know that the identity cos(2x) = cos²x - sin²x

⇒ cos(2θ) = cos²θ - sin²θ

⇒ cos(2θ) = 25/169 - 144/169

⇒ cos(2θ) = -119/169

And sin(2x) = 2sin(x)cos(x)

⇒ sin(2θ) = 2sin(θ)cos(θ)

⇒ sin(2θ) = 2 × 12/13 × 5/13

⇒ sin(2θ) = 120/169

We know that, tan(x) = sin(x)/cos(x)

⇒ tan(2θ) = sin(2θ)/cos(2θ)

⇒ tan(2θ) = (120/169) / (-119/169)

⇒ tan(2θ) = 120 / (-119)

⇒ tan(2θ) = -1.008

Since θ is in quadrant 1, tan(2θ) = 1.008

⇒ 2θ = arctan(1.008)

⇒ 2θ = 45.23

⇒ θ = 22.615°

Therefore, the solution to given expression tan(2θ) is 22.615°

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1 year ago

Kevin is making a picture frame. He has a piece of trim that is 5 feet long.

Mnenie [13.5K]

Answer:

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Step-by-step explanation:

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2 years ago

There are 640 apples in the box if 20% of apples are found to be rotten . How many are good apples ?

Whitepunk [10]

640x.2=128
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2 years ago