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3 years ago

Determine the distance between the two points (1, -3) and (-4, 3) plotted on the graph below.

Mathematics

1 answer:

Gala2k [10]3 years ago

5 0

Answer:

$d =\sqrt{61$

Step-by-step explanation:

Given

$(x_1,y_1) = (1,-3)$

$(x_2,y_2) = (-4,3)$

Required: The distance.

This is calculated as

$d =\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2$

So:

$d =\sqrt{(1 - -4)^2 + (-3 - 3)^2$

$d =\sqrt{61$

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The model represents an equation. What value of X makes the equation true?

Anettt [7]

Answer:

D. 3

Step-by-step explanation:

Assuming the model represents an equation, the following can be deduced:

On the left side of the equation, the model shows we have 3 "x's", and 6 "1's". Let this represent:

3x + 6

On the right side of the equation, we have 2 "x's" and 9 "1's". Let this represent:

2x + 9.

The model would represent the equation below:

$3x + 6 = 2x + 9$

Solve for x

$3x + 6 - 2x = 2x + 9 - 2x$ (Subtracting 2x from both sides of the equation)

$x + 6 = 9$

$x + 6 - 6 = 9 - 6$ (subtracting 6 from both sides of the equation)

$x = 3$

8 0

3 years ago

What is 6668 divided by 44

cupoosta [38]

The anwer plus working is 6668/4=151.55

5 0

4 years ago

Prove that one of every three consecutive positive integer is divisible by 3

Inessa05 [86]

Hello :
all n in N ; n(n+1)(n+2) = 3a a in N or : <span>≡ 0 (mod 3)
1 ) n </span><span>≡ 0 ( mod 3)...(1)

n+1 </span>≡ 1 ( mod 3)...(2)
  n+2 ≡ 2 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 0×1×2   ( mod 3) : ≡ 0 (mod 3)
2) n ≡ 1 ( mod 3)...(1)

n+1 ≡ 2 ( mod 3)...(2)
  n+2 ≡ 3 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 1×2 × 3  ( mod 3) : ≡ 0 (mod 3) , 6≡ 0 (mod)
3) n  ≡ 2 ( mod 3)...(1)

n+1 ≡ 3 ( mod 3)...(2)
  n+2 ≡ 4 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 2×3 × 4  ( mod 3) : ≡ 0 (mod 3) , 24≡ 0      (mod3)

5 0

3 years ago

Are the ratios 3/6 and 6/3 equivalent why or why not?

Bumek [7]

Answer:

Yes!

Step-by-step explanation:

It is because your still getting the same number 3 because even though your multiplying and dividing it still works

4 0

3 years ago

Help me pls!!

tresset_1 [31]

(a) Truck carries 90 gallons of diesel fuel to 660 miles.

So, 1 gallon of diesel fuel to 660/90 = 22/3 miles.

30 gallons of diesel fuel to = 220 miles.

Hence, if x-axis represents the number of miles and y-axis represents the number of gallons, then, (660, 90) and (220, 30) are points on the graph.

Join (660, 90) and (220, 30), we get the graph of a line.

Note that (0, 0) is also a point on the line.

Equation of the line is .

(b) x represents the number of miles. Therefore, the possible values for x is the closed interval [0, 660].

Hence, the domain of the function is [0, 660].

7 0

3 years ago