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WINSTONCH [101]
3 years ago
12

Find the co-ordinates of the foot of the perpendicular drawn from the point (6, 3) to the line by

Mathematics
1 answer:
spin [16.1K]3 years ago
6 0

Answer:

(6.4, 2.2)

Step-by-step explanation:

(3-1)/(8-4) = 2/4 = 1/2 = m

y = mx + b

1 = 1/2(4) + b

-1 = b

y = 1/2x - 1

perpendicular slope is -2

y = mx + b

3 = -2(6) + b

15 = b

y = -2x + 15

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Why is the letter i the square root of negative one ( <img src="https://tex.z-dn.net/?f=%5Csqrt%7B-1%7D" id="TexFormula1" title=
Alja [10]

Answer:

It is an imaginary number.

Step-by-step explanation:

The square root of negative one is "i," the imaginary number. This concept is immensely useful in mathematics, as it allows for there to be square roots of negative numbers, which is otherwise not possible using only real numbers.

Any number that includes a negative square root is called an imaginary number. For example, the square root of -9 equals 3i, an imaginary number. When an imaginary number and a real number are combined, for example 2 + 3i, this is called a complex number. Complex numbers have many real world applications, including manipulating sound waves and calculating electrical currents.

3 0
3 years ago
Solve the system.<br> y= 22 – 10x + 15<br> y=-10
Yuliya22 [10]

I will try to solve your system of equations.

y=22;−10x+15y=−10

Step: Solvey=22for y:

Step: Substitute22foryin−10x+15y=−10:

−10x+15y=−10

−10x+(15)(22)=−10

−10x+330=−10(Simplify both sides of the equation)

−10x+330+−330=−10+−330(Add -330 to both sides)

−10x=−340

−10x

−10

=

−340

−10

(Divide both sides by -10)

x=34

Answer:

y=22 and x=34Answer:

Step-by-step explanation:

7 0
3 years ago
Place the following numbers in order from least to greatest
topjm [15]

Answer:

-8.2,-2 1/2, 0.4,2.4

Step-by-step explanation:

hope that helps

4 0
3 years ago
A flock of birds was flying around a tree. When they landed, three birds to a branch, no branches were left and one bird had to
trapecia [35]

Answer: 5 branches and 16 birds.

Step-by-step explanation:

If the number of birds is B, and the number of branches is N.

First we have the equation:

B = 3*N + 1

(3 birds per branch + 1 that was flying around)

for the second equation we have:

B = 4*(N - 1)

(4 birds per branch, but one branch had no birds on it, so there are N -1 branches used)

now we can write:

3*N + 1 = 4*(N - 1)

3*N + 1 = 4*N - 4

4 + 1 = 4*N - 3*N

5 = N

So we had 5 branches, now we can replace it in one of the equations and find the number of birds.

B = 3*N + 1 = 3*5 + 1 = 16

6 0
3 years ago
Read 2 more answers
Simplify this problem!!!
Nonamiya [84]

Answer:

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Step-by-step explanation:

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4 0
1 year ago
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