What is the value of x? Please explain...

Mathematics

1 answer:

docker41 [41]3 years ago

5 0

Answer:
X=14

Explanation:
The question tells us that the triangle is an equilateral triangle, meaning all of its side lengths are equal.

The perimeter of the triangle is all the lengths added together, so we can say this:

Perimeter=3(1.75x-2)

And since the question tells us the perimeter, we can input that into the equation as well.

67.5= 3(1.75x-2)

And now we solve:

67.5= 3(1.75x-2)
Distribute 3 into the parentheses
67.5=5.25x-6
Combine like terms (move -6 to the other side)
67.6+6=5.25x
73.6=5.25x
Divide both sides by 5.25
73.6/5.25=5.25x/5.25
14=x

I hope this helps! Please comment if you have any questions.

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What value of x makes the equation true? 3(4x-5)-4x+1=-6 Please show work

V125BC [204]

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3(4x - 5) - 4x + 1 = -6

Step 2: Solve for x

Distribute 3: 12x - 15 - 4x + 1 = -6
Combine like terms: 8x - 14 = -6
Isolate x term: 8x = 8
Isolate x: x = 1

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 3(4(1) - 5) - 4(1) + 1 = -6
Multiply: 3(4 - 5) - 4 + 1 = -6
Subtract: 3(-1) - 4 + 1 = -6
Multiply: -3 - 4 + 1 = -6
Subtract: -7 + 1 = -6
Add: -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = 1 is the solution to the equation.

3 0

2 years ago

Need help please and thank you

viktelen [127]

The answer is B) -x^2-3
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3 years ago

Find an equation for those points P such that the distance from P to A(0, 1, 2) is equal to the distance from P to B(6, 4, 2). W

suter [353]

Answer: The required equation for points P is $4x+2y=17.$

Step-by-step explanation: We are give two points A(0, 1, 2) and B(6, 4, 2).

To find the equation for points P such that the distance of P from both A and B are equal.

We know that the distance between two points R(a, b, c) and S(d, e, f) is given by

$RS=\sqrt{(d-a)^2+(e-b)^2+(f-c)^2}.$

Let the point P be represented by (x, y, z).

According to the given information, we have

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