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Romashka-Z-Leto [24]
2 years ago
10

Hii! I need some help, would anyone mind helping me?

Mathematics
1 answer:
Kisachek [45]2 years ago
8 0

Step-by-step explanation:

{x}^{2}  - 14x  - 25 {y}^{2}  + 100y = 76

Factor by grouping,

( {x}^{2}  - 14x)   - (25 {y}^{2}  - 100y) = 76

Complete the square, with the x variables,

( {x}^{2}  - 14x + 49)  - (25 {y}^{2}  - 100y) = 125

Factor out 25 for the y variables

( {x}^{2}  - 14x + 49) - 25( {y}^{2}  - 4y) = 125

Complete the square

( {x}^{2}  - 14x + 49) - 25( {y}^{2}  - 4y + 4) = 25

Simplify the perfect square trinomial

(x - 7) {}^{2}  - 25(y - 2) {}^{2}  = 25

Make the right side be 1 so divide everything by 25.

\frac{(x - 7) {}^{2} }{25}  -  (y - 2) {}^{2}  = 1

Here our center is (7,2).

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I need help in these questions
Salsk061 [2.6K]

Answer:

see explanation

Step-by-step explanation:

All of these questions use the external angle theorem, that is

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

18

∠3 = 43° + 22° = 65°

19

∠2 + 71 = 92 ( subtract 71 from both sides )

∠2 = 21°

20

90 + ∠4 = 123 ( subtract 90 from both sides )

∠4 = 33°

21

2x - 15 + x - 5 = 148

3x - 20 = 148 ( add 20 to both sides )

3x = 168 ( divide both sides by 3 )

x = 56

Hence ∠ABC = x - 5 = 56 - 5 = 51°

22

2x + 27 + 2x - 11 = 100

4x + 16 = 100 ( subtract 16 from both sides )

4x = 84 ( divide both sides by 4 )

x = 21

Hence ∠JKL = 2x - 11 = (2 × 21) - 11 = 42 - 11 = 31°

3 0
4 years ago
A mechanic charged $220.28 to repair a car. The price included charges for 3 hours of labor and $126.53 for parts.
Nataly_w [17]

Answer:

Great question

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A grocery store purchases bags of chips for $2 and marks up the price by 162%. The store is having a sale where everything is on
drek231 [11]

Answer:

4.62

Step-by-step explanation:

2 * 1.62= 3.24

new cost is $3.24 + 2 = 5.24

5.24 * .12 = .62 discount

5.24 - .62

4.62

7 0
2 years ago
Read 2 more answers
2 less than 7 times a number c is written as
sammy [17]

Answer:

7c-2

Step-by-step explanation:

7 times a number c tells us that we want to multiply c by seven. 2 less than tells us that we want to subtract 2 from 7c.

7 0
3 years ago
What are the integers of 171
Natasha2012 [34]

Answer:

56, 57, and 58.

Step-by-step explanation:

4 0
3 years ago
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