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shusha [124]
3 years ago
15

What is the slope of a line perpendicular to the line y = - 1/4 - 1

Mathematics
1 answer:
Ket [755]3 years ago
3 0

Answer:

the equation is in the form y=mx+b

so y=(1/4)x -10

Step-by-step explanation:

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Monica earned $60 from a bonus plus $8.50 per hour (h) she worked this week. Which of the following expressions best represents
maria [59]
60 +8.50 x 24 x 7 = ?
3 0
2 years ago
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What's the circumference of a circle that is 9cm? Please explain step by step of how you got the answer...
Sauron [17]

Formula for finding circumference of a circle is 2πr.

Step-by-step explanation:

  • The given question says what is the circumference of a circle that is 9cm.
  • As radius is required for finding circumference of a circle, the formula is 2πr.
  • Therefore taking the formula and substituting radius (r)= 9 cm. We get 2πr as 2×π×9 = 18π cm OR
  • If we substitute the value of π as 3.14 we will get⇒ 2×3.14×9= 56.52 cm.
  • So the circumference of the given circle would be 18π or 56.52 cms.
4 0
3 years ago
Could i have some really really quick help?
nata0808 [166]

Answer:

1125 m

Step-by-step explanation:

Given equation:

h=-5t^2+150t

where:

  • h = height (in metres)
  • t = time (in seconds)

<u>Method 1</u>

Rewrite the equation in vertex form by completing the square:

h=-5t^2+150t

\implies h=-5t^2+150t-1125+1125

\implies h=-5(t^2-30t+225)+1125

\implies h=-5(t-15)^2+1125

The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point).  As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point.  Therefore, the maximum height is the y-value of the vertex: 1125 metres.

<u>Method 2</u>

Differentiate the function:

\implies \dfrac{dh}{dt}=-10t+150

Set it to zero and solve for t:

\implies -10t+150=0

\implies 10t=150

\implies t=15

Input found value of t into the original function and solve for h:

\implies -5(15)^2+150(15)=1125

Therefore, the maximum height is 1125 metres.

8 0
2 years ago
Read 2 more answers
Find the smallest positive integer divisible by $10$, $11$, and $12$.
Leya [2.2K]

Answer:

Smallest divisible number = 660

Step-by-step explanation:

Given:

Numbers

10, 11, 12

Find:

Smallest divisible number

Computation:

Factor

10 = 2×5

11 = 11×1

12 = 2×2×3

Smallest divisible number = 2×2×3×5×11

Smallest divisible number = 660

3 0
3 years ago
Help solve attached question.
LekaFEV [45]

Answer:

\mathrm{12\sqrt{5} \: \: inches}

Step-by-step explanation:

Use Pythagorean theorem, where:

a^2+b^2=c^2

Substitute in the values.

24^2+12^2=c^2

c^2=576+144

c^2=720

c=\sqrt{720}

c=12\sqrt{5}

c=26.83281

4 0
3 years ago
Read 2 more answers
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