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lara31 [8.8K]
3 years ago
13

Find the volume of a rectangular fish tank with dimensions of 14 feet long,8 feet wide, and 6

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0

672

i need 29 characters that’s why I’m typing this part

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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 -
valina [46]

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

8 0
2 years ago
What is the y-intercept of the line perpendicular to the line y = 3/4x + 3 that includes the point (-3, -3)
kipiarov [429]
A perpendicular line has an opposite reciprocal slope. This means that the new line will have a slope of -4/3x. Plug in x and y into the equation y=Mx +b where m is the slope (-4/3):
-3=(-3/4)(-3) + b
and isolate b:
b-3=(-3/4)(-3)
b=(-3/4)(-3) +3
b=9/4+3
b=21/4

The final equation is y= -4/3x + 21/4
The y intercept is (21/4).
6 0
3 years ago
11,091 in expanded form
I am Lyosha [343]

Answer:

10000 + 1000 + 0 + 90 + 1

oof its asking for it to be 20 words longs or something like that oof thats why im typing this.

6 0
4 years ago
Read 2 more answers
7. The prime factorization of which number is 2^5 x 5?<br> A) 50<br> B) 125<br> C) 160<br> D) 500​
QveST [7]
C is the right answer!!!
3 0
3 years ago
40 cm equals how many mm
Lilit [14]

Answer:

40 cm equals 400 millimeters

I hope this helps you

7 0
3 years ago
Read 2 more answers
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