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kenny6666 [7]
4 years ago
8

Your distance from a lightning strike can be calculated by how quickly you hear the sound of the thunder which travels 1mile eve

ry 5 seconds. If you see a lightning flash and count to 35 before hearing the thunder how far away are you from lightning
I need help ASAP or ima fail
Mathematics
1 answer:
Wewaii [24]4 years ago
3 0

1 mile ............ 5 seconds

x miles ........35 seconds

x = 1×35/5 = 35/5 = 7 miles

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A circle is centered on point B. Points A, C and D lie on its circumference.
guapka [62]

Answer:

m∠ADC = 20°

Step-by-step explanation:

A circle B has points B, C and D on the circumference.

m∠ABC = 40° [Cntral angle]

Since measure of the central angle is double of the inscribed angle by the arc

m∠ABC = 2(m∠ADC)

Here ∠ABC = Central angle

and ∠ADC = Inscribed angle

40° = 2(m∠ADC)

m∠ADC = \frac{40}{2}

              = 20°

Therefore, measure of angle ADC is 20°.

6 0
4 years ago
I costs $2.50 to rent bowling shoesn Each game costs $2.25. You have $9.25
Alex787 [66]
2.50+2.25x
9.25=2.50+2.25x

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8 0
3 years ago
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blsea [12.9K]
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7 0
3 years ago
1. a line with a slope of 1/3 passes through the point (3, 6) . which point also lies on this line?
valentina_108 [34]

1) Substituting into point-slope form, the equation of the line is y-6=⅓(x-3), which rearranges to:

  • y-6 = ⅓x - 1
  • y = ⅓x + 5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

  1. 3 = ⅓(6) + 5 -> 3 = 7, which is false.
  2. 6 = ⅓(7) + 5 -> 6 = 22/3, which is false.
  3. -3 = ⅓(-3) + 5 -> -3 = 4, which is false.
  4. 3 = ⅓(-6) + 5 -> 3 = 3, which is true.

So, the answer is (4) (-6, 3)

2) Substituting into point-slope form, the equation of the line is y - 5 = ¾(x-2), which rearranges to:

  • y - 5 = 0.75x - 1.5
  • y = 0.75x + 3.5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

  1. 8 = 0.75(6)+3.5 -> 8 = 8, which is true.
  2. 9 = 0.75(5) + 3.5 -> 9 = 7.25, which is false.
  3. 1 = 0.75(-1) + 3.5 -> 1 = 2.75, which is false.
  4. 2 = 0.75(6) + 3.5 -> 2 = 8, which is false.

So, the answer is (1) (6, 8).

3 0
2 years ago
A portion of the quadratic formula proof is shown. Fill in the missing reason.
Semmy [17]

Answer:

Find a common denominator on the right side of the equation

Step-by-step explanation:

The equation before the problem is

X² + b/a(x) + (b/2a)²= -c/a + b²/4a²

The next step in solving the above equation is to fibd tge common denominator on the right side of the equation.

X² + b/a(x) + (b/2a)²= -c/a + b²/4a²

X² + b/a(x) + (b/2a)²= -4ac/4a² + b²/4a²

X² + b/a(x) + (b/2a)²=( b²-4ac)/4a²

The right side of the equation now has a common denominator

The next step is to factorize the left side of the equation.

(X+b/2a)²= ( b²-4ac)/4a²

Squaring both sides

X+b/2a= √(b²-4ac)/√4a²

Final equation

X=( -b+√(b²-4ac))/2a

Or

X=( -b-√(b²-4ac))/2a

6 0
3 years ago
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