What is the solution 4(x-8) + 10= -10

Mathematics

2 answers:

Sati [7]3 years ago

7 0

Answer:

x = 3

Step-by-step explanation:

given

4(x - 8) + 10 = - 10 ← subtract 10 from both sides

4(x - 8) = - 20 ← divide both sides by 4

x - 8 = - 5 ← add 8 to both sides

x = 3

Vika [28.1K]3 years ago

7 0

<h2>Answer:</h2>

<u>The answer is </u><u>x = 3</u>

<h2>Step-by-step explanation:</h2>

Let's solve your equation step-by-step.

4(x−8)+10=−10

Simplify both sides of the equation.

4(x−8)+10=−10

(4)(x)+(4)(−8)+10=−10(Distribute)

4x+−32+10=−10

(4x)+(−32+10)=−10(Combine Like Terms)

4x+−22=−10

4x−22=−10

Add 22 to both sides.

4x−22+22=−10+22

4x=12

Divide both sides by 4.

4x/3 = 12/3

x=3

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Let u= <4,3>. Find the unit vector in the direction of u, and write your answer in component form.

aksik [14]

Take the vector u = <ux, uy> = <4, 3>.

Find the magnitude of u:

||u|| = sqrt[ (ux)^2 + (uy)^2]

||u|| = sqrt[ 4^2 + 3^2 ]

||u|| = sqrt[ 16 + 9 ]

||u|| = sqrt[ 25 ]

||u|| = 5

To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is

u/||u||

u * (1/||u||)

= <4, 3> * (1/5)

= <4/5, 3/5>

and there it is.

Writing it in component form:

= (4/5) * i + (3/5) * j

I hope this helps. =)

3 0

3 years ago

I WILL GIVE BRAINLIEST!!! PLZ HELP ASAP!!!

Fed [463]

Answer:

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = E(- 2, 2) and (x₂, y₂ ) = F(4, - 6)

EF = $\sqrt{(4+2)^2+(-6-2)^2}$