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3 years ago

SHOW WORKING OUT!!!!!

Mathematics

1 answer:

Lilit [14]3 years ago

6 0

1)a > -5
2)d ≤ 4
3)c ≥ 6
4)d < 12
5)e ≤ 8
6)h > 10

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If ABC and GEF are congruent by the ASA criterion, which pair of angles must be congruent

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3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!! Factor. 64x^9 − 125y^6

shepuryov [24]

$Identity: \\ \boxed{ {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2}) } \\ \\ 64 {x}^{9} - 125 {y}^{6} \\ \\ = {(4 {x}^{3} )}^{3} - {(5 {y}^{2} )}^{3} \\ \\ = (4 {x}^{3} - 5 {y}^{2} )( \: {(4 {x}^{3} )}^{2} + 4 {x}^{3} \times 5 {y}^{2} + {(5 {y}^{2} )}^{2} \: ) \\ \\ = (4 {x}^{3} - 5 {y}^{2} )(16 {x}^{6} + 20 {x}^{3} {y}^{2} + 25 {y}^{4} )$

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3 years ago

Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method.

maks197457 [2]

Answer:

D = 0 , Dx = 4 , Dy = -6 , Dz = 2

Step-by-step explanation:

As per cramer's rule,

D = | 7 6 4 | = 0

| 3 3 3 |

| 4 4 4 |

Dx = | 10 6 4 | = 4

| 1 3 3 |

| 2 4 4 |

Dy = | 7 10 4 | = -6

| 3 1 3 |

| 4 2 4 |

Dz = | 7 6 10 | = 2

| 3 3 1 |

| 4 4 2 |

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4 years ago

A boat travels 3 hours downstream at r miles per hour. On the return trip, the boat travels 5 miles per hour slower and takes 4

Rudik [331]

This is a simple one.

We dont know how fast it is going downstream, but we do know it took 3 hours to reach the destination. Now, saying that, when coming back we know it took 4 hours(an hour longer than what we took to get there), and we also know we were moving 5 miles slower per hour. If we think a bit, we can see that moving 5 miles slower made us take a whole hour. Making me believe that when we were headed to our destination we were moving at 20 miles per hour, and when we were headed back, we moved at 15mph(20-5)

To check that this was correct, we can just simply check, "okay so from our point to our destination we traveled 60 miles in total. if we went 20 miles an hour, in 3 hours(3×20) we would be at our destination, and if we traveled at 15 miles an hour, it would take us 4 hours to get back to our starting point (4×15)

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4 years ago