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nikdorinn [45]
1 year ago
8

Find the equation of a line that goes through the point ( 1,- 6 ) and is perpendicular to the line: y = (1 / 8)x - 9

Mathematics
1 answer:
Tomtit [17]1 year ago
4 0

Step 1

Given;

\begin{gathered} y=\frac{1}{8}x-9 \\ with\text{ points \lparen1,-6\rparen} \end{gathered}

Required; Find the equation of a line that goes through the point ( 1,- 6 ) and is perpendicular to the line: y = (1 / 8)x - 9

Step 2

For perpendicular lines, the relationship between the slopes is;

m_1=-\frac{1}{m_2}\begin{gathered} m_1=\frac{1}{8} \\ \frac{1}{8}=-\frac{1}{m_2} \\ m_2=-8 \end{gathered}

The y-intercept is found thus;

\begin{gathered} y=-8x+b \\ b=y-intercept \\ y=-6 \\ x=1 \\ -6=-8(1)+b \\ b=-6+8=2 \end{gathered}

Answer; The required equation will be;

y=-8x+2

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Sorry if it blurry but if you can see it plz help
RoseWind [281]
Y=-3/4x+8 is the answer
8 0
3 years ago
Please procedure and solution <br><br>2 x |-6|-3 x |2|+|-14|=​
lora16 [44]

Applying the rule of modulus for given values, the expression will result to 20.

<h3>What is Modulus or Absolute Values</h3>

The modulus of a value for example |a|=a if a is greater than or equal to zero

and also

|a|=-a if a is less than zero

In the expression given; the modulus of -6 written as

|-6|=-(-6) this is because the value is less than zero

The modulus of 2 written as; |2|=2 this is because the value is greater than zero. and;

|The modulus of -14 written as; |-14|= -(-14) since the value is less than zero.

Hence, we can rewrite the expression as;

we deal with multiplication first following the rules of BODMAS

2×-(-6)-3×2+[-(-14)]

2×6-6+14

and thus adding values

12+14-6

and finally we subtract;

26-6

which will results to the solution of 20.

5 0
2 years ago
Does the graph below represent a function? A. Yes
AURORKA [14]
Yeah C should be the correct answer
8 0
3 years ago
Which of the following arcs are congruent in the circle below?
BartSMP [9]

Answer:

C

Step-by-step explanation:

CB is congruent to AB because the both are 30 degrees

8 0
3 years ago
Which is the y-intercept of the relationship represented in the table?
lozanna [386]

Answer:

y = x - 4

Step-by-step explanation:

m, gradient = (5  - 3)/(9-7) = 1

Formula : x - x1 = m( y - y1 )

y - 3 = 1 ( x -7)

Equation : y = x -4

6 0
3 years ago
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