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nevsk [136]
3 years ago
15

What is the distance from the point (a, −b, −4) to the origin?

Mathematics
1 answer:
laiz [17]3 years ago
6 0

Answer:

  \sqrt{a^2+b^2+16}

Step-by-step explanation:

The distance (d) between two points in 3 dimensions is ...

  d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)

Then the distance between (a, -b, -4) and (0, 0, 0) is ...

  d = √((a -0)² +(-b -0)² +(-4 -0)²)

  = √(a² +b² +16)

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(6+8)^2=6^2+8^2 statement true
ddd [48]

this is false

(6+8)^2= 196

6^2+8^2=100

They are not equal so this is a false statement

5 0
3 years ago
Help! Help! Help! Help!
just olya [345]

Answer:

  about $2269

Step-by-step explanation:

If we assume the aspect ratio of the two screens is the same, then the area is proportional to the square of the diagonal dimension.

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The diagonal dimension of the larger HDTV is 65/32 ≈ 2.0313 times that of the smaller one. So, the price is expected to be ...

  $550 × 2.0313² ≈ $2269.29

You expect the 65" HDTV to cost about $2269.

7 0
2 years ago
Choose all the quadratic pairs that are equivalent. 1 2 (x + 4)2 = 2 x2 + 8x + 15 = 0 (x − 5)2 = 1 x2 − 10x + 26 = 0 3(x − 1)2 +
Artemon [7]

Answer:

Only equation 1 and 2 are equal.

Step-by-step explanation:

2 (x + 4)2 = 2

2( x² + 8x+ 16) = 2               Applying the square formula

2x² + 16x+ 32 = 2

2x² + 16x+ 32 -2= 0

2x² + 16x+ 30 = 0

2( x² + 8x+ 15)= 0           Taking 2 as common

x2 + 8x + 15 = 0------------eq 1

x2 + 8x + 15 = 0-------------eq 2

(x − 5)2 = 1

x²-10x+25= 1             Applying the square formula

x²-10x+25- 1= 0

x²-10x+24= 0-------------eq 3

x2 − 10x + 26 = 0 -------------eq 4

3(x − 1)2 + 5 = 0

3( x²-2x+1)+5= 0               Applying the square formula

3x²-6x+3+5= 0

3x²-6x+ 8= 0-------------eq 5

3x2 − 6x + 8 =1

3x2 − 6x + 8 -1=0

3x2 − 6x + 7 =0-------------eq 6

3 0
3 years ago
Another one the last one ASAP
kodGreya [7K]

Answer:

13m²

Step-by-step explanation:

Area=6.5*4÷2=13

6 0
2 years ago
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A middle school band uses a company to manage its fundraisers. The company charges a fee of $260 per fundraiser for its services
Pachacha [2.7K]

Answer:

c\leq 96

Step-by-step explanation:

plz crown

8 0
3 years ago
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