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Roman55 [17]
2 years ago
7

1. The equation of the locus of a point which is always equidistant from the points (a + b, a - b) and (a - b, a + b) is a) x -

a=0 b) x - y = 0 c) y + x = 0 d) x + y = a + b​
Mathematics
1 answer:
valina [46]2 years ago
8 0

Answer:

c). y + x = 0

Step-by-step explanation:

The locus is a line perpendicular to the line connecting the 2 points and passing through the centre of the line.

The mid-point of the line connecting the given points is:

(a + b + a - b)/2 , (a - b + a + b) / 2

= (a, a)

It's slope = (a + b)- (a - b) / (a - b)- (a + b)

= 2b/ -2b

= -1

So the slope of the line we want is -1/(-1) = 1.

Using the point-slope form of a line:

y - y1 = m(x - x1)

y - a = 1(x - a)

y - a = x - a

x + y = 0

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Hello,
Nookie1986 [14]

Answer:

s = height above ground

s = 60 + 20 t - 4.9 t^2 (standard physics equation on earth)

at t = 0

s = 60 (clearly :)

now when does it hit the bleak earth?

That is when s = 0

4.9 t^2 - 20 t -60 = 0

solve quadratic and use the positive t (the negative t was back before you threw it if you had thrown it from the ground)

t = 6.09 or - 2.01

use t = 6.09

now to do the last part there are two obvious ways to get t at the peak

1. look for vertex of parabola

2. look for halfway between t = -2.01 and t = 6.09

I will do it the hard (11) waay by completing the square

4.9 t^2 - 20 t = -(s-60)

t^2 - 4.08 t = -.204 s + 12.2

t^2 - 4.08 t +2.04^2 = -.204 s +12.2 + 4.16

(t-2.04)^2 = -.204(s-80.2)

so

top at 80.2 meters at t = 2.04 s

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

quick check on time

should be average of 6.09 and -2.01

=4.08 /2 = 2.04 check

7 0
1 year ago
Read 2 more answers
HELP PLEASE&lt;3 <br> Find the missing angle <br> Btw its trigonometry
ira [324]

Answer:

x = 16.6

Step-by-step explanation:

Since we know the measure of an acute angle (31 degrees) of a right angle triangle, and of the side opposite to the angle (10), and we need to find the measure of the adjacent side "x", we use the tangent function:

tan(\theta) = \frac{opposite}{adjacent} \\tan(31^o)=\frac{10}{x}\\x=\frac{10}{tan(31^o)} \\x \approx 16.64279

which rounded to one decimal is

x = 16.6

6 0
3 years ago
Help me out the meaning
WITCHER [35]

slope intercept form:

y = mx + b

m = slope

b = y-intercept

the y-intercept is the place on the y-axis (vertical) where the line crosses. In this problem, the line crosses at (0,4), meaning the y-intercept is 4.

y = mx + 4

the slope is technically the rate of change (rise over run) bewteen points.

If you take the distance from point (-1,3) and (0,4) you get a slope of 1/1, or just 1

y = 1x +4

this could also be:

y = x + 4

(because the 1 is invisible but still there)

5 0
3 years ago
Write the number 2000000 in scientific notation​
konstantin123 [22]

Answer:

2 x 10 ^ 6

Step-by-step explanation:

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Consider the line y = 9x-5.
goldenfox [79]

Answer:

4 \times  {4}^{ -  5 \times 4}

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