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Natalija [7]
3 years ago
9

All 4 questions please

Mathematics
1 answer:
scZoUnD [109]3 years ago
7 0

Answer:

  1. π = S/2πrh
  2. v = √2E/m
  3. b = (-7a+c)/2
  4. x =3y-1

Step-by-step explanation:

1.

S = 2\pi rh\\Divide\:both\sides\:of\:the\:equation\:by\:2rh\\\\\frac{S}{2rh} = \frac{2 \pi rh}{2 rh} \\\\\pi = \frac{S}{2rh}

2.

E = \frac{1}{2} mv^2\\\\E = \frac{mv^2}{2} \\\\Cross\:multiply\\\\2E =mv^2\\Divide\:both\:sides\:of\:the\:equation\:by\:m\\\frac{2E}{m} = \frac{mv^2}{m} \\\\\frac{2E}{m} =v^2\\Square\:root\:both\:sides\:of\:the\:equation\\\sqrt{\frac{2E}{m} } = \sqrt{v^2} \\\\\sqrt{\frac{2E}{m} } =v\\\\v =\sqrt{\frac{2E}{m} }

3.

7a+2b =c\\Isolate\:b\\\\2b =c-7a\\2b= -7a+c\\Divide\:both\:sides\:of\:the\:equation\:by \:2\\\frac{2b}{2} =\frac{-7a+c}{2} \\\\b = \frac{-7a+c}{2}

4.

y = \frac{1}{3} (x+1)\\\\y = \frac{x+1}{3}\\\\Cross\:multiply \\3y =x+1\\Isolate \:x\\3y -1=x\\\\x =3y-1

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Could u answer all and explain it to me?
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3 years ago
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katovenus [111]
So 2 miles per 1/2 hour
therfor 1 mile in 1/4 hour since 1/4 is 1//2 of 1/2

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2 mile per 2/4 hour
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7 0
3 years ago
Read 2 more answers
3(2.4−1.1m)=2.7m+3.2
telo118 [61]

Hello again!

First, distribute the 3 to the parenthesis, so you get 7.2-3.3m=2.7m+3.2. Next, subtract 3.2 from both sides to get m's on one side. Then you have 4.2-3.3m=2.7m. Next, add 3.3m to both sides so you can solve for m. Now you have 4.2=6m. Then, divide 4.2 by 6, and m=.7

Hopefully this helps! Let me know if you have any questions

6 0
3 years ago
Read 2 more answers
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Anna007 [38]
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6 0
2 years ago
COMPLETE THE SQUARE TO REWRITE Y=X&gt;2+8X+3 IN VERTEX FORM , AND THEN IDENTIFY THE MINIMUN Y-VALUE OF THE FUNCTION
kicyunya [14]

Answer:

The vertex form is y = (x + 4)² - 13

The minimum value of the function is -13

Step-by-step explanation:

∵ y = x² + 8x + 3

∵ 8x ÷ 2 = 4x ⇒ (x) × (4)

∴ We need ⇒ x² + 8x + 16 to be completed square

∴ y = (x² + 8x + 16) - 16 + 3 ⇒ we add 16 and subtract 16

∴ y = (x + 4)² - 13 ⇒ vertex form

∵ The vertex form is (x - a)² + b

Where a is the x-coordinate of the minimum point and b is y-coordinate of the minimum point (b is the minimum value of the function)

∴ The minimum value is -13

6 0
3 years ago
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