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Tasya [4]
3 years ago
11

The linear equation y = mx + b contains the point (4, -2) and is perpendicular to the

Mathematics
1 answer:
xenn [34]3 years ago
7 0

A linear equation is represented as: y = mx + b.

The equation of the line is: y =3x - 14

First, we calculate the slope (m) of 6x + 18y = 11

Make y the subject

18y = -6x + 11

Divide by 18

y = -\frac{1}{3}x + \frac{11}{18}

In y = mx + b

m \to slope

So, the slope of y = -\frac{1}{3}x + \frac{11}{18} is:

m = -\frac 13

Since, the line is perpendicular to 6x + 18y = 11

The slope of the line is:

m_1 = -\frac{1}{m}

So, we have:

m_1 = -\frac{1}{-1/3}

m_1 = 3

The line passes through (4,-2).

So, the equation is:

y =m(x - x_1) + y_1

This gives:

y =3(x - 4) -2

y =3x - 12 -2

y =3x - 14

Hence, the linear equation is:

y =3x - 14

Read more about  at:

brainly.com/question/11897796

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Kaylee decided to donate 30% of her savings if she has $238 in her savings account about how much will she Donate
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Answer: Donate $71.40

Step-by-step explanation:

To calculate a percentage of an amount, we have to multiply that percentage by the amount and divide by 100.

Donate =  $238 · 30 ÷ 100 = $7,140 ÷ 100 = $71.40

Answer : Donate $71.40

\textit{\textbf{Spymore}}

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3 years ago
Write an equation for the line that is parallel to the given line and passes through the given point.
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2 years ago
Which graph shows the solution to the inequality -3x-7x<20
hjlf
A graph of this inequality would be a number line, with the number -2 circled (not filled in), and the number line to the right of -2 shaded.

To solve this, you will combine like terms first:

-3x-7x < 20
-10x < 20

Divide both sides by -10:
-10x/-10 < 20/-10

When you divide an inequality by a negative number, you flip the inequality symbol:

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T= m/x + p for m. Find m
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4 0
3 years ago
Find four consecutive numbers whose sum equals 218
Softa [21]

Answer: 53, 54, 55, and 56

Step-by-step explanation: This problem states that the sum of 4 consecutive numbers is 218 and it asks us to find the numbers.

4 consecutive numbers can be represented as followed.

X ⇒ <em>first number</em>

X + 1 ⇒ <em>second number</em>

X + 2 ⇒ <em>third number</em>

X + 3 ⇒ <em>fourth number</em>

Since the sum of our 4 consecutive numbers is 218, we can set up an equation to represent this.

X + X + 1 + X + 2 + X + 3 = 218

On the left side of the equation, we can combine our x's and our numbers.

4x + 6 = 218

      -6     -6   ← <em><u>subtract 6 from both sides of the equation</u></em>

4x = 212

÷4    ÷4   ← <u><em>divide both sides of the equation by 4</em></u>

 <u>X = 53</u>

<u />

X ⇒ <em>first number   = 53</em>

X + 1 ⇒ <em>second number   = 54</em>

X + 2 ⇒ <em>third number   = 55</em>

X + 3 ⇒ <em>fourth number   = 56</em>

<em />

<em>Therefore, our 4 consecutive numbers are </em><em>53</em><em>, </em><em>54</em><em>, </em><em>55</em><em>, and </em><em>56</em><em>.</em>

4 0
3 years ago
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