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Elenna [48]
3 years ago
12

The product of the slopes of two non-vertical perpendicular lines is always -1. It is NOT possible for two perpendicular lines t

o both have a positive slope because the product of two positives is positive. So for the product of the slopes to be -1, one of the slopes must be positive and the other negative.
T or F
Mathematics
2 answers:
Eva8 [605]3 years ago
5 0
I think the answer is true

klasskru [66]3 years ago
4 0

Answer:

<h2>True.</h2>

Step-by-step explanation:

The given statement is true, because the condition of perpendicularity is

m_{1} m_{2} =-1

Where m_{1} and m_{2} are the slopes of the lines.

If you think this through, two perpendicular lines actually have inverse directions, because one must be horizontal regarding the direciton of the other.

So, that "opposite direction" is shown by having an opposite slope, which must also have opposite sign, because remember that signs represents the orientation of the line.

For example, if the first line has slope of 3, the perpendicular line must have a slope of -1/3, which completes the result -1.

Therefore, the statement is completely true.

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each of equal sides of an isosceles triangle is 4cm greater than its height .If the base of triangle is 24 cm ,calculate the per
Montano1993 [528]
<h3><u>Answer</u><u>:</u><u>-</u></h3>

192 cm²

<h3><u>Step</u><u> </u><u>by</u><u> step</u><u> explanation</u><u> </u><u>:</u><u>-</u></h3>

Let us take the height be x , then its side = x + 4. Now half of base will be 12 cm .

<u>According</u><u> to Pythagoras Theorem :- </u>

=> base² + perpendicular ² = hypontenuse ²

=> 12² + x² = (x+4)²

=> 144 + x² = x² + 16 + 8x

=> 8x = 144-16

=> 8x = 128

=> x = 128/8

=> x = 16 cm .

Hence the height of ∆ is 16 cm .So the area will be half the product of base and altitude.

= 1/2 * 16 cm * 24cm .

= 192 cm²

<h3><u>★</u><u> </u><u>Hence</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>the </u><u>tria</u><u>ngle</u><u> is</u><u> </u><u>1</u><u>9</u><u>2</u><u> </u><u>cm²</u><u> </u><u>.</u></h3>
8 0
2 years ago
What is the square root of 54 that lies between
Bad White [126]
Find the square numbers and see which ones 54 lies between
1, 4, 9, 16, 25, 36, 49, 64.
It lies between the two square numbers 49 and 64.
But you want the square root.
So find the square root of 49 and 64.
7 and 8.
So the square root of 54 is between 7 and 8.
Hope this helps. 
4 0
3 years ago
CC=\frac{5}{9}(F - 32)
PSYCHO15rus [73]
The answer would be D I and II only

My work:
The only answer that has both statement I and statement II as true is D<span>, but if you have time and want to be absolutely thorough, you can also check to see if statement III is true </span>
5 0
2 years ago
Read 2 more answers
What the value of n?
Dimas [21]

Answer:

C =85

Step-by-step explanation:

n=180-133+180-142=47+38=85

4 0
3 years ago
A tin man has a head that is a cylinder with a cone on top. the height of the cylinder is 12 inches and the height of the cone i
lisov135 [29]
I believe your answer is b.
3 0
3 years ago
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