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3 years ago

Below are the steps to solve an equation:

Mathematics

1 answer:

Anna007 [38]3 years ago

7 0

I hope this helps you

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Need help............

svp [43]

Answer:

i would say C

Step-by-step explanation:

6 0

3 years ago

Somebody help please !!!!

Alecsey [184]

Answer:

Step-by-step explanation:

y is -6 = y-6

x=2 so =x+2

slope is -3/4

5 0

3 years ago

At the movie theatre, child admission is $6.40 and adult admission is $9.70. On Monday, 155 tickets were sold for a total sales

Molodets [167]

Less than or equal to 121 adult tickets.

You would do 1180.10/9.70

Which equals 121

Since we don't know how many children tickets were, sold it could be less than or equal to 121.

3 0

3 years ago

A hiker starting at point P on a straight road wants to reach a forest cabin that is 2 km from a point Q, 3 km down the road fro

pantera1 [17]

Answer:

2.19 km

Step-by-step explanation:

If x is the distance she walks down the road before turning, then the total time is:

t = x/8 + √((3 − x)² + 2²) / 3

t = x/8 + √(9 − 6x + x² + 4) / 3

24t = 3x + 8√(13 − 6x + x²)

24t = 3x + 8(13 − 6x + x²)^½

Take derivative of both sides with respect to x.

24 dt/dx = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

When t is a minimum, dt/dx = 0.

0 = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

-3 = 4(13 − 6x + x²)^-½ (-6 + 2x)

3 / (6 − 2x) = 4(13 − 6x + x²)^-½

3 / (24 − 8x) = (13 − 6x + x²)^-½

(24 − 8x) / 3 = (13 − 6x + x²)^½

(24 − 8x)² / 9 = 13 − 6x + x²

576 − 384x + 64x² = 117 − 54x + 9x²

459 − 330x + 55x² = 0

Solve with quadratic formula.

x = [ 330 ± √((-330)² − 4(55)(459)) ] / 2(55)

x = (330 ± √7920) / 110

x = 2.19 or 3.81

Since 0 < x < 3, x = 2.19.

7 0

3 years ago

The vertices of shape K are at (4,7), (7, 7), (7,4) and (5, 5).

son4ous [18]

Answer:

To find the scale factor of the enlargement, compare the distance between a pair of corresponding points from both shapes.

<u>Shape K</u>

A = (4, 7)

B = (7, 7)

C = (7, 4)

D = (5, 5)

Horizontal distance between A (4, 7) and B (7, 7) = 3 units

<u>Shape L</u>

A' = (0, 11)

B' = (9, 11)

C' = (9, 2)

D' = (3, 5)

Horizontal distance between A' (0, 11) and B' (9, 11) = 9 units

9 ÷ 3 = 3

Therefore, Shape L is an enlargement of Shape K by scale factor 3.

To find the center of dilation (enlargement), draw two lines through 2 corresponding points (e.g. A and A', B and B') - the point of intersection of these lines is the center of dilation.

Therefore, the center of enlargement is (6, 5) (refer to the second attached image).

6 0

2 years ago