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mixer [17]
3 years ago
10

URGENT

Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0

Answer:

m2=5/6  m=-6/5

Step-by-step explanation:

two axes are perpendicular if the product of their slopes is equal to minus 1

first we find the slope for the axis we are given

-6x-5y=-5

this can also be written as

y=\frac{-6}{5} x+1

-6/5 is the slope

-6/5*m2=-1

m2=5/6

this is the slope for the perpendicular axis

two lines are parallel if their slopes are equal

the slope for our line is -6/5 so the slope for the parallel line is also -6/5

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Find all numbers whose absolute value is – 3.
Gwar [14]

Answer:

remember that |x|=x if x\geq0 and |x|=-x \; \text{ if } x\leq 0. This means that |x| always is a positive number.

Then, there are no numbers such that |x|=-3 because -3 is a negative number.

7 0
3 years ago
A sphere with a diameter of 30 inches is placed in a cube. The sphere touches the lateral faces
Nina [5.8K]

Answer:

a) 30 inches × 30 inches × 30 inches

b) 27,000 inches³

c) 14,130 inches³

d) 12,870 inches³

Step-by-step explanation:

Edge of the cube = diameter = 30 inches

Volume of cube = s³

30³ = 27000 inches³

Radius = 30/2 = 15

Volume of sphere:

(4/3) × 3.15 × 15³

14130 inches³

Difference:

27000 - 14130

12870 inches³

5 0
3 years ago
In a certain state, fishing licenses are in the form of LLL NN, where L stands for a letter of the alphabet and N stands for a o
Pavel [41]
<h2>Answer:</h2>

There are 1757600 possibilities.

<h2>Step-by-step explanation:</h2>

In a certain state, fishing licenses are in the form of LLL NN

L stands for a letter of the alphabet (a to z)

N stands for a one-digit number from 0 to 9.

Now, for the series LLL, 3 alphabets are placed that can be any from a to z. This means at each place, 26 letters can be placed.

Similarly, for NN, 2 numbers are placed that can be any, between 0 and 9. At each place 0 to 9 can be placed.

Hence, the total possible outcomes will be :

26\times26\times26\times10\times10=1757600

Therefore the answer is 1757600 possibilities.

5 0
3 years ago
Read 2 more answers
Mr wells drew a plan for a rectangle dog run three of the vertices are (2 1/3, 7 1/2), (12, 7 1/2), and (12, 1) what are the coo
melisa1 [442]

Answer:

Step-by-step explanation:

let 4th fourth vertex be D (x,y)

A(2 1/3,7 1/2),B(12, 7 1/2),C(12,1)

or A(7/3,15/2),B(12,15/2),C(12,1)

Mid-point of diagonal AC is  P((7/3+12)/2,(15/2+1))

Mid -point of diagonal BD is P((12+x)/2,(15/2+y)/2)

(Because mid -point of diagonal is same.)

(12+x)/2=(7/3+12)/2

12+x=7/3+12

x=7/3

(15/2+1)/2=(15/2+y)/2

15/2+1=15/2+y

y=1

so fourth vertex is (7/3,1)

8 0
3 years ago
Answers these two for 5 stars and brainlist and a thanks
shusha [124]

a. Dilation of 2nd equation by a factor of 12

b. The systems have the same solution, as dilations do not affect overall coordinates, changing side lengths but not angles

8 0
3 years ago
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