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kolbaska11 [484]
3 years ago
9

What is the slope of a line that is perpendicular to the line whose equation is 2y = 3x - 1? -3 - -

Mathematics
1 answer:
Shalnov [3]3 years ago
8 0

Answer: 2/3x

Step-by-step explanation:

First, you need to simplify your original line to point slope formula. Dividing the whole thing by 2 to get y by itself leaves you with

y = 3/2x - 1/2

Any perpendicular line has the opposite slope to the line it is perpendicular to, so you flip the slope to get 2/3x

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Sam Houston's Arms
OLga [1]

Answer:

The length of the statue's arm is<u> 26.22 ft.</u>

Step-by-step explanation:

Let the length of the statue's arm be 'x'.

Given:

Height of statue is, H=67\ ft

Height of male is, h=5\ ft\ 9\ in=5\ ft+\frac{9}{12}\ ft=5+0.75=5.75\ ft

Length of the male's arm is, l=27\ in=\frac{27}{12}=2.25\ ft

Now, as the size of Sam Houston's statue is proportional to that of an adult male, therefore, their heights and arm lengths will also be in proportion. So,

\frac{H}{h}=\frac{x}{l}\\x=\frac{H}{h}\times l

Now, plug in the given values and solve for 'x'.

x=\frac{67}{5.75}\times 2.25\\x=26.22\ ft

Therefore, the length of the statue's arm is 26.22 ft

7 0
3 years ago
Help me classify the triangles by its sides and measuring its angles :) ​
barxatty [35]

Answer:

Triangle 1 : isosceles triangle

Triangle 2 : Right Triangle

Step-by-step explanation:

5 0
3 years ago
The area of a square is tripled by adding 10 cm to one dimension and 12 cm to the other. Determine the side length of the square
Rina8888 [55]
Area = length *width
A = x²
3x² = (x+10)(x+12)
3x² = x²+10x+12x+120
3x² = x²+22x+120
3x²-3x² = x²+22x+120-3x²
0 = -2x²+22x+120
Factor to solve for x: 
-2(x²-11x-60)
(x+4)(x-15)
x = -4  & x = 15 but we can't have a negative length so we eliminate 4. The length of the square is 15 cm.
4 0
3 years ago
70 - 5x = number of people waiting in line to buy tickets x minutes after a ticket booth opened is given by 70 - 5x. What does t
Snowcat [4.5K]

Answer:

The 70 represents the number of people waiting to by tickets at the exactly moment when the ticket booth is opened.

Step-by-step explanation:

The 70 represents the number of people waiting to by tickets at the exactly moment when the ticket booth is opened.

You can see this by setting the x value to 0, it is, in the precise moment when the booth opened (as x cant be negative, because there is no negative time, you could also think of 70 as the number of people waiting before the booth opens).

4 0
3 years ago
What is 2 times negative x
Ann [662]

Answer:2x

Step-by-step explanation:

3 0
3 years ago
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