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Black_prince [1.1K]
3 years ago
9

Find an equation of the line that passes through the point (-6,7) and is perpendicular to the line 12x-18y-72=0

Mathematics
1 answer:
madreJ [45]3 years ago
4 0

Answer:

y=-1.5x-2

Step-by-step explanation:

18y=12x-72

3y=2x-12

y=2/3x-4

Slope=-1.5

7=-6(-1.5)+b

7=9-2

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The U.S.A. Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool
Mama L [17]

Answer:

The equation of the circle is;

(x - 2)² + (y - 4)² = 5²  

Step-by-step explanation:

We note that the general equation of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

The given parameters are;

The location of the center of the pool to the center of their formation = 2 feet to the right and 4 feet up from the center of the pool

The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation

Taking the center of the pool as the origin of the coordinate plane system, we have;

The coordinate of the center of the circle = The coordinate of their motion from the center of the circle

∴ The coordinate of the center of the circle = (2, 4)

∴ (h, k) = (2, 4)

h = 2, k = 4

The coordinate of the point through which the circle passes = (2 - 3, 4 + 4) = (-1, 8)

∴ The length of the radius, 'r', can be found as, r = √((-3)² + 4²) = 5 or r = √((-1 - 2)² + (8 - 4)²) = 5

r = 5

The equation of the circle is therefore presented by substituting the values of 'h', 'k', and 'r', as follows;

(x - 2)² + (y - 4)² = 5².

4 0
3 years ago
X/7 = -3<br> 1. x = -21<br> 2. x = -10<br> 3. x = 4<br> 4. x = 21
SOVA2 [1]
X/7= -3
X= -21

Hope this helps!
5 0
2 years ago
When factoring x2 – 3xy + 2y2 by grouping the first step can be:
blagie [28]

Answer:

x^2 – 3xy + 2y^2

Step-by-step explanation:

Factor the following:

x^2 - 3 x y + 2 y^2

Hint: | Factor the quadratic x^2 - 3 x y + 2 y^2.

The factors of 2 that sum to -3 are -1 and -2. So, x^2 - 3 x y + 2 y^2 = (x - 1 y) (x - 2 y):

Answer:  (x - y) (x - 2 y)

8 0
3 years ago
Noor rode her bike two fifth mile in one twelfth hour. At this rate, how far would Noor ride her bike in 1 hour?
Liula [17]
2/5 in 1/12 of an hour

x in 1 hour

So multiply 12 to both fractions

2/5 x 12 in 1/12 x 12 of an hour

We get now:

24/5 in 1 hour

or:

4 4/5 in 1 hour


8 0
3 years ago
Read 2 more answers
Please help me find the slope
hjlf

Answer:

the slope is 2

Step-by-step explanation:

rise/run 4 rise run 2 simply and you get just 2

8 0
3 years ago
Read 2 more answers
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