Can you help me solve and describe the steps used to find x for the equation 2(x + 4) – 10 = 12
Answers
1. isolate variable
2. divide by coeficient of variable
3. celebrate because you found the answer
remember you can do anything to an equation as long as you do it to both sides
distributive propoerty
a(b+c)=ab+ac
2(x+4)-10=12
distribute the 2 to (x+4)
2(x+4)=2x+8
now we have
2x+8-10=12
add
2x-2=12
add 2 to both sides
2x+2-2=12+2
2x+0=14
2x=14
divide both sides by 2
2/2x=14/2
1x=7
x=7
Hi there!
To solve, let's rewrite this equation.
Step 1) Simplify both sides of the equation.
(Distribute)
(Combine Like Terms)
Step 2) Add 2 to both sides.
Step 3) Divide both sides by 2.
Final Answer -
Hope this helps!
Message me if you need anything else, I'd be happy to help you! :D
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The value of n in the given expression is -15
What is an expression?
Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
For example : - 3y+4, 8u+8, 9i+5, a+2, a+c etc.
Given that, an expression, 9(n+3) =7n-3, we need to find the value of n
Solving for n,
9(n+3) =7n-3
Using distributive property,
9n + 27 = 7n -3
Combining like terms, by transposing,
9n - 7n = -3-27
2n = -30
Diving by 2 both sides
n = -15
Hence, the value of n in the given expression is -15
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2n + 27 = -3
2n = -30
n = -15
Answers
2,180 miles = (1.609344... x 2,180 km)
= 3,508.37 km (rounded)
Answers
Answers
Answers
Answer:
x^2(4-3)
Step-by-step explanation:
find what they have in common, in this case its x^2, and take it outside the () and put what you have left inside the().
Answer:
Step-by-step explanation:
Your equation is 4x^2-3x^2
Add similar elements together,
which gets you x^2
Answers
The altitude of the triangle whose base is 3 cm longer than its altitude is 7cm.
What is triangle?
Triangle is a plane figure with three straight sides and three angles such that the sum of the angles is 180°.
Given is a triangle whose base is 3cm longer than its altitude. The area of the triangle is 35 cm².
Assume that the altitude of the triangle is 'a' cm.
The area of a tringle is given by -
A [T] = 1/2 x base x height.
Now,
Altitude of triangle = a cm
Base of triangle = (a + 3) cm
Substituting the values in the formula of area, we get -
A [T] = 1/2 x base x height
A [T] = 1/2 x a x (a + 3)
a(a + 3) = 35 x 2
a(a + 3) = 70
a² + 3a - 70 = 0
On solving the above quadratic equation, you will get two values of x -
a = - 10 and a = 7
Altitude cannot be negative. Therefore, the altitude of the triangle is 7 cm.
Therefore, the altitude of the triangle whose base is 3 cm longer than its altitude is 7cm.
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