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pshichka [43]
3 years ago
13

What is the distance from (−2, 4) to (0, −6)? round your answer to the nearest hundredth.

Mathematics
2 answers:
zavuch27 [327]3 years ago
4 0

Answer: 10.20

Step-by-step explanation: formula for distance between two points: d = √( (x₂ -x₁)² + (y₂ - y₁)²)x₁ = -2, y₁ = 4, x₂ = 0,  y₂ = -6d = √( (x₂ -x₁)² + (y₂ - y₁)²)d = √( (0 -  -2)² + (-6 - 4)²)d = √( (0 + 2)² + (-10)²)d = √( (2)² + (-10)²)d = √(4 + 100)d = √104        Use a calculator  ≈ 10.1980d ≈ 10.20 units    to the nearest hundredth

daser333 [38]3 years ago
3 0
Formula for distance between two points:

d = √( (x₂ -x₁)² + (y₂ - y₁)²)

x₁ = -2, y₁ = 4, x₂ = 0,  y₂ = -6

d = √( (x₂ -x₁)² + (y₂ - y₁)²)

d = √( (0 -  -2)² + (-6 - 4)²)

d = √( (0 + 2)² + (-10)²)

d = √( (2)² + (-10)²)

d = √(4 + 100)

d = √104        Use a calculator

d  ≈ 10.1980

d ≈ 10.20 units    to the nearest hundredth.
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Compare the properties of each function. Please help I will give brainliest.
prisoha [69]

9514 1404 393

Answer:

  • both are linear functions with a y-intercept of 3 and domain of all real numbers
  • f(x) has positive slope, so a range of all real numbers
  • g(x) has zero slope, so a range of only the value 3

Step-by-step explanation:

Both functions are shown in the attached graph. Both are linear functions with a y-intercept of 3. Both have a domain of all real numbers.

Function A has a positive slope, so has a range of all real numbers.

Function B has a zero slope, so its range is the single number y = 3.

5 0
3 years ago
Please answer this question now
inn [45]

Answer:

t = 17.3

Step-by-step explanation:

The following data were obtained from the question:

Angle T = 87°

Opposite T = t =?

Opposite V = v = 14

Opposite U = u = 11

The value of t can be obtained by using cosine rule formula as shown below:

t² = v² + u² – 2vu CosT

t² = 14² + 11² – 2 × 14 × 11 × Cos87°

t² = 196 + 121 – 308 × Cos87°

t² = 317 – 16.119

t² = 300.881

Take the square root of both side

t = √300.881

t = 17.3

Therefore, the value of t is 17.3

6 0
3 years ago
Simplify: -(16 - 5x) 5×-16/ 5× + 16 / -5×-16/ -5 + 16​
bulgar [2K]

Answer:

(16 (1280 x - 4071))/25

Step-by-step explanation:

Simplify the following:

16 - (-16 (-16)×5×16 (16 - 5 x))/(5 (-5) (-5))

Hint: | Express 16/(-5)×(-16)/(-5) as a single fraction.

16/(-5)×(-16)/(-5) = (16 (-16))/(-5 (-5)):

-(-16×5×(-16×16)/(-5 (-5)) (16 - 5 x))/5 + 16

Hint: | Express 5×(-16)/5×(16 (-16))/(-5 (-5)) as a single fraction.

5×(-16)/5×(16 (-16))/(-5 (-5)) = (16 (-16) 5 (-16))/(-5 (-5) 5):

16 - (-16 (-16) 16×5)/(-5 (-5) 5) (16 - 5 x)

Hint: | Multiply 16 and -16 together.

16 (-16) = -256:

-(-16-256×5 (16 - 5 x))/(-5 (-5) 5) + 16

Hint: | Multiply -256 and 5 together.

-256×5 = -1280:

-(-16-1280 (16 - 5 x))/(-5 (-5) 5) + 16

Hint: | Multiply -1280 and -16 together.

-1280 (-16) = 20480:

16 - (20480 (16 - 5 x))/(-5 (-5) 5)

Hint: | In 20480/(-5 (-5) 5), divide 20480 in the numerator by 5 in the denominator.

5 | | 4 | 0 | 9 | 6

| 2 | 0 | 4 | 8 | 0

- | 2 | 0 | | |  

| | | 4 | |  

| | - | 0 | |  

| | | 4 | 8 |  

| | - | 4 | 5 |  

| | | | 3 | 0

| | | - | 3 | 0

| | | | | 0:

16 - (4096 (16 - 5 x))/(-5 (-5))

Hint: | Multiply -5 and -5 together.

-5 (-5) = 25:

16 - (4096 (16 - 5 x))/25

Hint: | Put the fractions in 16 - ((16 - 5 x)×4096)/25 over a common denominator.

Put each term in 16 - ((16 - 5 x)×4096)/25 over the common denominator 25: 16 - ((16 - 5 x)×4096)/25 = 400/25 - (4096 (16 - 5 x))/25:

400/25 - (4096 (16 - 5 x))/25

Hint: | Combine 400/25 - (4096 (16 - 5 x))/25 into a single fraction.

400/25 - (4096 (16 - 5 x))/25 = (400 - 4096 (16 - 5 x))/25:

(400 - 4096 (16 - 5 x))/25

Hint: | Distribute -4096 over 16 - 5 x.

-4096 (16 - 5 x) = 20480 x - 65536:

(20480 x - 65536 + 400)/25

Hint: | Group like terms in 20480 x - 65536 + 400.

Grouping like terms, 20480 x - 65536 + 400 = 20480 x + (400 - 65536):

(20480 x + (400 - 65536))/25

Hint: | Evaluate 400 - 65536.

400 - 65536 = -65136:

(20480 x + -65136)/25

Hint: | Factor out the greatest common divisor of the coefficients of 20480 x - 65136.

Factor 16 out of 20480 x - 65136:

Answer: (16 (1280 x - 4071))/25

3 0
3 years ago
If there are 12 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Oksana_A [137]

Answer:

6:30

1:5

4:20

3:15

2:10

Step-by-step explanation:

im pretty sure these are correct

7 0
3 years ago
Find the value of \(x\).x
Lemur [1.5K]

Answer:

110°

Step-by-step explanation:

128°+40°+82°+x°= 360°

so 250°+x°=360°

x°=360°-250°

x°=110°

5 0
3 years ago
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