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Amiraneli [1.4K]
2 years ago
12

Previous 2 Next Linear Equations: Mastery Test 2. Type the correct answer in the box. Use numerals instead of words. What value

of x makes this equation true? -6x + 3 = 45 Reset Next Eden its reserved K KE
- 6x + 3 = 45
​
Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
7 0

The value of the unknown variable "x" given that -6x + 3= 45 is -7

Equations are expressions separated by an equal sign.  They can contain one or more variables.

The equation given in question is a linear equation containing one unknown variable "x".

The equation is expressed as -6x + 3 = 45

To get the value of x, we will follow the steps below:

Step 1: Subtract 3 from both sides of the equation

-6x + 3 - 3 = 45 - 3

-6x = 42

Step 2: Divide both sides of the expression by -6

-6x/-6 =42/-6

x = -7

This shows that the value of the unknown variable "x" is -7.

Learn more here: brainly.com/question/2159099

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<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units</h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and      y_3=8

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The length of AC = \sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}

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Let the perpendicular distance from B to AC be = x

According To Problem

\frac{1}{2} \times  x \times \sqrt{149} = 54

⇔x =\frac{108}{\sqrt{149} } units

Therefore the perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units

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