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Svet_ta [14]
3 years ago
8

What is the equation of a line that passes through the point (6,3) and is perpendicular to a line with a slope of -3/2

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
3 0

Answer:

  none of the above

Step-by-step explanation:

The perpendicular line will have a slope that is the negative reciprocal of the given slope, so it is ...

  m = -1/(-3/2) = 2/3

The point-slope form of the equation of the line with slope m through point (h, k) can be written ...

  y = m(x -h) +k

For this slope and the point (6, 3), the equation of the line is ...

  y = (2/3)(x -6) +3

  y = 2/3x -4 +3

  y = 2/3x -1 . . . . . matches none of the offered choices

_____

The attached graph shows this equation is the one that goes through the given point.

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Five of Teddy’s six cousins can
Sliva [168]

Answer: 0.83

Step-by-step explanation:

The fraction of Teddy's cousins what can do push-ups is \frac{5}{6}. We get this fraction because the problem states that 5 of Teddy's 6 cousins can do 15 push-ups. Now that we have our fraction, we divide to get our decimal.

\frac{5}{6} =0.83

7 0
3 years ago
Simplify 3³ × 3²
Natali [406]
3 to the 5th power.....when you multiply you add the exponents
5 0
2 years ago
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2. Find the area and circumference of the circle to the right.<br>16.6 m<br>​
adoni [48]

Answer:

AREA:

A=216.42m^2

CIRCUMFERENCE:

C=52.15m

Step-by-step explanation:

The formula that is used to calculate the area of a circle is:

A=\pi r^2

Where "r" is the radius of the circle.

The formula for calculate the circumference of a circle is:

C=2\pi r

Where "r" is the radius of the circle.

Then, you need to find the radius. This is:

r=\frac{16.6m}{2}=8.3m

Substituting the radius, you get that the area and the circumference are:

AREA:

A=\pi (8.3m)^2=216.42m^2

CIRCUMFERENCE:

 C=2\pi (8.3m)=52.15m

7 0
3 years ago
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if the domain of a coordinate transformation that is reflected over the y-axis is (-1,3),(2,1),(5,-1)and(-1,-2) what is the rang
AURORKA [14]

Answer:

Range remains the same.

Step-by-step explanation:

(1,3),(-2,1),(-5,-1) and (1,-2)

7 0
3 years ago
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A farm has a square fenced-in area with side length x where the farm gives children pony rides. Adjacent to one entire side of t
Vika [28.1K]

Answer:

1) x²+4x=2700

2) 50x50

Step-by-step explanation:

Pony area = x²

line-up area=4x

x²+4x=2700

x²+4x-2700=0

(x-50)(x+54)

So x= 50 or -54.  Since it can’t be a negative number, it must be 50.

CHECK:

Square = 50x50 = 2500

Line up area = 50x4 = 200

2500+200=2700 YES

6 0
3 years ago
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