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ArbitrLikvidat [17]
3 years ago
14

The lines x=0, y=2x-5, and y=mx+9 form a right triangle. find the two possible values of m

Mathematics
1 answer:
Alex17521 [72]3 years ago
5 0

Answer: -1/2, 0

Step-by-step explanation:

x=0 , y=2x-5 and y=mx+9 form a right angle. So, y=mx+9 is either perpendicular to x=0 or y=2x-5 because the angle between x=0 and y=2x-5 is not 90 degrees. The product of slopes of perpendicular lines equals to -1.

Thus, m=-1/2 if it is perpendicular to y=2x-5. And y=c, for some constant if it is perpendicular to x=0. So y=0x+9 fits the bill. (m=0, in this case)

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artcher [175]

Answer:

a =7.5

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+ b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 10 ^2 = 12.5^2

a^2 + 100  =156.25

Subtract 100 from each side

a^2 = 56.25

Take the square root of each side

sqrt(a^2) = sqrt( 56.25)

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3 years ago
Help needed ASAP will give BRAINLIEST
grin007 [14]

Answer:

C.

Step-by-step explanation:

Recall that the sum of the (3) interior angles of a triangle <em>must</em> equate to 180.

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On the left, add 55 and 20:

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Subtract 75 from both sides. The left side cancels:

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7 0
3 years ago
Casey deposited $1,450 in a bank account with an interest rate of 4%. How much simple interest was earned in two years?
vekshin1

Answer:

$116

Step-by-step explanation:

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Valentin [98]

Answer:

3.4*10^1159

Step-by-step explanation:

2,000,000 x 10,000 x 170 x 10E1146

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Putting this in proper scientific notation by moving the decimal 2 places to the left, means adding 2 to the exponent

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3.4*10^12

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This is really 1 * 10^(1146+1)

3.4*10^12 * 10^1147

We add the exponents

3.4*10^(12+1147)

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3 years ago
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Margaret [11]

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Step-by-step explanation:

(2x)3

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=8x^3

7 0
2 years ago
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