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Dimas [21]
3 years ago
9

Need help anything helps thanks

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0

A binomial squared is written like

x^2+2ax+a^2

So, we have 2a=6 \iff a=3

So, we want to complete the square (x+3)^2 = x^2+6x+9

We can add and subtract 9 to write

x^2+6x = x^2+6x+(9-9) = (x^2+6x+9)-9 = (x+3)^2-9

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A bridge being designed will cross the river at a right angle. The equation of the left bank of the river is j = 2x+8. The cente
Ierofanga [76]
<h3>Answer:   y = (-1/2)x + 2</h3>

This is the same as y = -0.5x+2

==========================================================

Explanation:

Refer to the diagram below.

The blue line is the graph of y = 2x+8, which is the left bank of the river.

For now, ignore the y = (-1/2)x+2 in the diagram and pretend we don't know that just yet. The red line is the bridge and it's some linear equation in the form y = mx+b. We're told the bridge is perpendicular to the river, so the bridge must also be perpendicular to the riverbank.

The blue line has slope m = 2. Apply the negative reciprocal to this to end up with -1/2. This is the perpendicular slope, and the slope of the red line. Note how the two slopes (2 and -1/2) multiply to -1. Any two perpendicular lines will have their slopes multiply to -1, as long as neither line is vertical or horizontal.

Since we want the bridge to pass through (0,2), this must mean the y intercept is b = 2.

So with m = -1/2 and b = 2, we go from y = mx+b to y = (-1/2)x + 2 which is the equation of the bridge shown in red.

This is the same as y = -0.5x + 2 since -1/2 = -0.5

3 0
4 years ago
convert the repeating decimal to an improper fraction or mixed number. Include your work in your final anwser 152
Nezavi [6.7K]
If you mean .152 bar as in .152152152.....then let x=.152 then:

1000x-x=152.152-.152

999x=152

x=152/999  (this cannot be reduced any further as they have no common primes)
8 0
3 years ago
two bags contains 10 balls each. Every round you choose with equal probability one of the two bags and pick out a ball. After a
Stells [14]

Answer:

6.10%

Step-by-step explanation:

For every round since we are choosing with equal probability, then the probability of choosing from either of the bags is 1/2

Here, this scenario is only possible when a particular bag has been chosen 10 times and the other bag has been chosen 6 times ( meaning a particular bag has been emptied and for a particular bag to be emptied, all of its content would have been picked)

Now on the 17th trial, an empty bag is chosen

Therefore the required probability will be;

16C0 * (1/2)^10 * (1/2)^6 * 1/2 = 0.0610 = 6.1%

4 0
4 years ago
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES AND I ADD EXTRA POINTS
Pani-rosa [81]

Answer:

A

Step-by-step explanation: plz mark brainliest

If you see The abc triangle you can see that triangle DEF is about twice the size of the other triangle so if you would double the size of the small triangle by the same number which was 20 you would do 20 + 20 = 40 and you would multiply 4 x 5 which equals 20 and add 20 + 20 which equals 40 which is the double amount of triangle ABC

7 0
3 years ago
Read 2 more answers
A pack of baseball cards comes with 10 cards and costs $3.20. What is the price per card?
Leokris [45]

Answer: 0.32

Step-by-step explanation:

0.32 times 10 equal 3.20

3 0
4 years ago
Read 2 more answers
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