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Tamiku [17]
3 years ago
8

How can I do this exercise?

%202%7D" id="TexFormula1" title="\frac{-2}{12} = \frac{x + 1}{x + 2}" alt="\frac{-2}{12} = \frac{x + 1}{x + 2}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
matrenka [14]3 years ago
3 0

Answer:

-8/7 =x

Step-by-step explanation:

-2         x+1

----- = -----------

12         x+2

Using cross products

-2 (x+2) = 12 (x+1)

Distribute

-2x -4 = 12x+12

Add 2x to each side

-2x+2x -4 = 12x+2x+12

-4 = 14x +12

Subtract 12 from each side

-4-12 = 14x

-16 = 14x

Divide each side by 14

-16/14 =14x/14

-8/7 =x

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The coordinates of A on a grid are (-2,-4.Point A is reflexed across the y-axis to obtain.The coordinates of point B are?
Valentin [98]

Answer:

(2,-4)

Step-by-step explanation:

when reflecting across the Y-axis from quadrant 3 to quadrant 4, a sign change from (-,-) to (+,-) would occur.

3 0
3 years ago
A Ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position
Umnica [9.8K]

Answer:

height = 20.5068 m    

Step-by-step explanation:

Given the data in the question;

First, lets calculate the amplitude, midline and period of 8minutes

Amplitude = 35 / 2 = 17.5

|A| = 17.5

A = - 17.5  { since the wheel starts at 6 o clock }

midline  C = (35/2) + 3

C = 17.5 + 3

C = 20.5

And period is 8 minutes

⇒ 2π/B = 8

8B = 2π

B = 2π/8 = π/4

So our equation will be in the form of;

y = h(t) = Acos(B×t) + C

∴ h(t) = -17.5cos( π/4×t) + 20.5  

Now, How high are you off the ground after 6 minutes

⇒ height = -17.5cos( π/4 × 6) + 20.5

height = -17.5cos( π/4 × 6) + 20.5    

height = -17.5cos( 4.71238898) + 20.5    

height = -17.5 × cos( 4.712) + 20.5  

height = -17.5 × -0.00038898 + 20.5                  

height = 0.0068 + 20.5  

height = 20.5068 m    

8 0
3 years ago
Solve s=2(lw+lh+wh) for w
Scilla [17]

                                                                   s = 2(lw + lh + wh)

Divide each side by  2 :                            s/2 = lw + lh + wh

Subtract 'lh' from each side:                s/2 - lh = lw + wh

Combine the 'w' terms:                        s/2 - lh = w(l + h)

Divide each side by (l + h):  (s/2 - lh) / (l + h) = w

7 0
3 years ago
Ratios equivalent to 16:12
Artyom0805 [142]

Answer:

\frac{16}{12} equivalent to \frac{ 4}{3}

Step-by-step explanation:

Given ratio, \frac{16}{12}

It can be written as \frac{16}{12}=\frac{4 \times 4}{4 \times 3}

cancel common factor,

\frac{16}{12}=\frac{ 4}{3}

4 0
3 years ago
Estimate 137,638 plus 52,091
seraphim [82]
First round
137,638=100,000
52,091=50,000
Then add to get the estamate
100,000
+
  50,000
150,000
Then to get the real answer add
      1
137,638
+
   52091
 189,729



8 0
3 years ago
Read 2 more answers
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