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alexgriva [62]
4 years ago
11

Given that BE=6, CE=6,and FE measures 5 morethan DE, find the lengthof DE.​

Mathematics
1 answer:
katen-ka-za [31]4 years ago
4 0

Answer:

DE = 4 units.

Step-by-step explanation:

By the chord intersection theorem:

BE * CE = DE * FE

But FE = DE + 5 so:

BE * CE = DE * (DE + 5)

6 * 6 = DE^2 + 5DE

DE^2 + 5DE  - 36 = 0

(DE + 9)(DE - 4) = 0

So DE = -9 or 4

It can't be negative so DE = 4.

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Solve for x<br> 3 (x – 4) = 12x
ira [324]

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<h2>-4/3</h2>

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4 0
3 years ago
8. Solve the system using elimination.<br> 3x - 4y = 9<br> - 3x + 2y = 9
olga nikolaevna [1]

Answer:

3x−4y=9 −3x+2y=9

Add these equations to eliminate x: −2y=18

Then solve−2y=18

for y: −2y=18 −2y −2 = 18 −2 (Divide both sides by -2)

y=−9

Now that we've found y let's plug it back in to solve for x.

Write down an original equation: 3x−4y=9

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4 0
3 years ago
125 x 0.35 ( work shown
weqwewe [10]

Answer:


Step-by-step explanation:

125/x=100/0.35

(125/x)*x=(100/0.35)*x       - we multiply both sides of the equation by x

125=285.71428571429*x       - we divide both sides of the equation by (285.71428571429) to get x

125/285.71428571429=x

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x=0.4375

now we have:

0.35% of 125=0.4375


6 0
3 years ago
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