If point A is translated 4 units left and 6 units down, what are the coordinates of A?

Write the point-slope form of the equation of the line through point (6, -2) that is perpendicular to the line y=2x-3

Lorico [155]

Answer:

The point - slope form of the equation of line 1 is y = (-1/2)x + 1

Step-by-step explanation:

here, the given point on the equation 1 is A(6, -2).

Now, equation of line 2 is y = 2x - 3

Comparing it with the INTERCEPT SLOPE FORM : y = mx + C

Slope of Line 2 = 2 (= m2)

Now,as line 1 is perpendicular to line 1

⇒ Slope of line 1 x Slope of line 2 = -1

or, slope of line 1 = (-1/2)

Now, by POINT SLOPE form of a equation:

An equation with point (x0 , y0) and slope m is given as

(y - y0)= m (x - x0)

Here, the equation of line 1 with point (6, -2) and slope (-1/2) is given as:

$y - (-2) = \frac{-1}{2} (x -6)\\\implies 2( y + 2) = 6 -x\\or, 2y + 4 = 6 -x\\\implies 2y = -x + 2\\or, y = (-\frac{1}{2}) x + 1$

Hence, the point - slope form of the equation of line 1 is y = (-1/2)x + 1

5 0

3 years ago

How do you solve -3 + 5 +6g =11 - 3g?

expeople1 [14]

Add -3 +5 u get 2
the add 3g to 6g to get 9g
then u have 2+9g=11
subtract 2 to both sides u get 9g=9
divide 9 u get 1=g hope I helped

8 0

3 years ago

Read 2 more answers

a play court on the school playground is shaped like a square joined by a semicircle.the perimeter around the entire play court

Drupady [299]

Answer:

Step-by-step explanation:

Perimeter of square = 182.8 ft

Perimeter of semicircle = 62.8 ft

Let teh side of the square is a and the radius of semi circle is r.

Perimeter of square = 4a

4a = 182.8

a = 45.7 ft

perimeter of semicircle = π r

π r = 62.8

r = 20 ft

Area of square part = a² = 45.7 x 45.7 = 2088.5 ft²

Area of semicircle = πr²/2 = 3.14 x 20 x 20 /2 = 628 ft²

Total area of the play court = 2088.5 + 628 = 2716.5 ft²

4 0

3 years ago

If Rebekah had 28 Jolly Ranchers, ate 3, gave 5 to her friend Hayley, and 5 to her friend Audrey, how many Jolly Ranchers does s

dangina [55]

She has 15 left because she had 28 then she at 3 which is now 25 then she gave 5 away which is 20 then she gave 5 more away which is 15. So she ends up with 15

4 0

3 years ago

Read 2 more answers

Donata bought 3 Apples and 5 Pomegranites at the local supermarket for a total of $16.50 Meaghan bought 6 Apples and 11 Pomegran

Sati [7]

Answer: the cost of one apple is $1

Step-by-step explanation:

Let x represent the cost of one apple.

Let y represent the cost of one Pomegranate.

Donata bought 3 Apples and 5 Pomegranates at the local supermarket for a total of $16.50. This means that

3x + 5y = 16.5 - - - - - - - - - - - - -1

Meaghan bought 6 Apples and 11 Pomegranates at the same store for a total of $35.70. This means that

6x + 11y = 35.7- - - - - - - - - - - - -2

Multiplying equation 1 by 2 and equation 2 by 1, it becomes

6x + 10y = 33

6x + 11y = 35.7

Subtracting, it becomes

- y = - 2.7

y = 2.7

Substituting y = 2.7 into equation 1, it becomes

3x + 5 × 2.7 = 16.5

3x + 13.5 = 16.5

3x = 16.5 - 13.5 = 3

x = 3/3 = 1

7 0

3 years ago