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WITCHER [35]
2 years ago
10

Solve the inequality-9<-1/5x

Mathematics
1 answer:
jek_recluse [69]2 years ago
8 0

Simplify 1/5x to x/5

-9 < -x/5

Multiply both sides by 5

-9 × 5 < -x

Simplify -9 × 5 to -45

-45 < -x

Multiply both sides by -1

45 > x

Switch sides

<u>x < 45 </u>

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Crank

Answer:

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7 0
3 years ago
Read 2 more answers
For the given line segment, write the equation of the perpendicular bisector.
Jlenok [28]

Answer:

D) y = -4/5x – 47/10

Step-by-step explanation:

Step 1. Find the <em>midpoint of the segmen</em>t.

The two end points are (-6, -4) and (-2, 1).

The midpoint is at the average of the coordinates.

(xₚ, yₚ) = ((x₁ + x₂)/2, (y₁ + y₂)/2)

(xₚ, yₚ) = ((-6 - 2)/2, (-4 + 1)/2)

(xₚ, yₚ) = (-8/2, -3/2)

(xₚ, yₚ) = (-4, -3/2)

===============

Step 2. Find the <em>slope (m₁) of the segment</em>

m₁ = (y₂ - y₁)/(x₂ - x₁)

m₁ = (1 - (-4))/(-2 - (-6))

m₁ = (1 + 4)/(-2 + 6)

m₁ = 5/4

===============

Step 3. Find the <em>slope (m₂) of the perpendicular bisector </em>

m₂ = -1/m₁

m₂ = -4/5

====================

Step 4. Find the <em>intercept of the perpendicular bisector</em>

y = mx + b

y = -(4/5)x + b

The line passes through (-4, -3/2).

-3/2 = -(4/5)(-4) + b

-3/2 = 16/5 + b      Multiply each side by 10

 -15 = 32 + 10 b    Subtract 32 from each side

 -47 = 10b             Divide each side by 10

    b = -47/10

===============

Step 5. Write the <em>equation for the perpendicular bisector</em>

y = -4/5x – 47/10

The graph shows the midpoint of your segment at (-4, -3/2) and the perpendicular bisector passing through the midpoint and (0, -47/10).

4 0
3 years ago
Determine the equations of the vertical and horizontal asymptotes if any for f(x)=x/x-5
Gelneren [198K]

Answer:

Horizontal Asymptote: x = 0

Vertical Asymptote: x = 5

Step-by-step explanation:

The function is given as  f(x)=\frac{x}{x-5}

<em>Horizontal asymptotes are found by equating numerator to 0 and solving for x</em>

<em>Vertical asymptotes are found by equating denominator to 0 and solving for x</em>

<em />

<u>Horizontal Asymptote:</u>

x = 0

<u>Vertical Asymptote:</u>

x - 5 = 0

x = 5

5 0
3 years ago
Hannah has 67.32 centimeters of wire. She uses 2 pieces of the wire.
mojhsa [17]

Answer:

38.46 (Rounded: 38.5)

Step-by-step explanation:

67.32-2(14.43)=38.46

3 0
3 years ago
Hello can someone help me with this?
zalisa [80]

Answer:

  1. 1
  2. 1/2
  3. 1/5
  4. 2
  5. 10
  6. 0
  7. -1
  8. -1/2
  9. -1/5
  10. -2
  11. -10

4 0
3 years ago
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