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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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5y^2+5−4−4y^2+5y^2−4x^3 −1
vredina [299]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{4 {x}^{3}  + 6 {y}^{2} }}}}}

Step-by-step explanation:

\sf{5 {y }^{2}  + 5 - 4 - 4 {y}^{2}  + 5 {y}^{2}  - 4 {x}^{3}  - 1}

Collect like terms

⇒\sf{ 4 {x}^{3}  + 5 {y}^{2}  - 4 {y}^{2}  + 5 {y}^{2}  + 5 - 4 - 1}

⇒\sf{4 {x}^{3}  +  {y}^{2}  + 5 {y}^{2}  + 5 - 4 - 1}

⇒\sf{4 {x}^{3}  + 6 {y}^{2}  + 5 - 4 - 1}

Calculate

⇒\sf{4 {x}^{3}  + 6 {y}^{2}  + 1 - 1}

⇒\sf{4 {x}^{3}  + 6 {y}^{2} }

Hope I helped!

Best regards! :D

6 0
3 years ago
Can someone help me ?
insens350 [35]

Answer:

• changing an interior angle to a reflex angle

Step-by-step explanation:

In order for the outline of the polygon to have a pair of sides that is concave (pointed inward, rather than outward), the corresponding interior angle must be a reflex angle. (It must measure more than 180°.) Draw one; you'll see.

7 0
3 years ago
7<br> Which is the best estimate for the percent equivalent of 75?<br> 219<br> 229<br> 469<br> 479
Natalka [10]
469 is the perece to equivalent to 75 becuase it’s bigger
3 0
3 years ago
What r the answers to these questions(picture above)?PLEASE HELP
kirill [66]

Problem 3

The constant term is 290. This is the term that stays the same no matter what the value of 'a' happens to be. Contrast this with the variable term 2.50a which changes if 'a' changes (hence the name "variable" for "vary" or "change")

If Mike sold 0 accessories, then a = 0 and the expression would be

2.50*a + 290 = 2.50*0 + 290 = 290

Selling 0 accessories leads to $290. This is the amount he is guaranteed with the 2.50a portion being additional money to motivate him to sell more.

------------

Answer: Choice (3) 290, amount he is guaranteed

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

Problem 4

Plug y = 0 into the equation. Solve for x

9x - 14y = -3

9x - 14*0 = -3 .... replace y with 0

9x - 0 = -3

9x = -3

9x/9 = -3/9 ... divide both sides by 9

x = -3/9

x = -1/3

------------

Answer: Choice (3) which is -1/3

6 0
3 years ago
Lin opened a savings account that pays 5.25% interest and deposited $5000. If she makes no deposits and no withdrawals for 3 yea
Alexxandr [17]

Answer:

$5829.57

Step-by-step explanation:

Annually compounding interest formula: PV(1+i)^t

5000(1+.0525)^3

5829.567266

which rounds to: 5829.57

7 0
2 years ago
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