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Basile [38]
2 years ago
12

A line through the origin has a slope of 1 / 3. Carlos thinks the slope of a perpendicular line at the origin will be 3.

Mathematics
1 answer:
OLEGan [10]2 years ago
4 0

Answer:

Carlos is incorrect.

Step-by-step explanation:

We have been given that a line through the origin has a slope of \frac{1}{3}. Carlos thinks the slope of a perpendicular line at the origin will be 3.

We know that the slope of a perpendicular line to a given line is always negative reciprocal of the slope of the given line.

The slope of the perpendicular line at the origin will be negative reciprocal of \frac{1}{3}.

Let us find negative reciprocal of \frac{1}{3} as:

-\frac{1}{\frac{1}{3}}=-\frac{1\cdot 3}{1}=-3

Since the slope of a perpendicular line at the origin is -3, therefore, Carlos is incorrect.

You might be interested in
3 square root of 721
NeTakaya

Answer:

La raíz cuadrada de 721  

Step-by-step explanation:

La Segunda Raíz o Raíz Cuadrada del número 721 es 26.8514431642

Esto se comprueba multiplicando 26.8514431642 por si mismo, debe arrojar como resultado 721

o en otro termino 721.9049245737

The Second Root or Square Root of the number 721 is 26.8514431642

This is proven by multiplying 26.8514431642 by itself, it must result in 721

or in another term 721.9049245737

5 0
3 years ago
Solve x²+5x+6=0 by completing the square​
Brums [2.3K]

Answer:

x = -2

x= -3

Step-by-step explanation:

x 2+5x+6=0

To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=5

ab=6

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.

1,6

2,3

Calculate the sum for each pair.

1+6=7

2+3=5

The solution is the pair that gives sum 5.

a=2

b=3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x+2)(x+3)

To find equation solutions, solve x+2=0 and x+3=0.

x=−2

x=−3

4 0
3 years ago
Please help me answer this question. First to answer will be marked braineist. NO WORK NESSACARY. Thank you ☺️
m_a_m_a [10]

Lets check the first point (0,6)


3*0+4=4  no good

0+6 =6  good

0^2+6 =6 good

6 * (7/6) ^0 =6  good


Lets check the second point (1,7)

3*1+4=  we don't care since it didn't work for (0,6)

1+6 =7

1^2+6 =7

6 * (7/6) ^1 =7


Lets check the third point (2,10)


3x+4=  we still don't care

2+6 = 8 no good

2^2+6 =10  good

6 * (7/6) ^2 =6 * 49/36 =49/6  no good


f(x) = x^2 +6


7 0
3 years ago
Jenna bought two more pairs of jeans. If both of them are blue, what percentage of her jeans is blue now? If both of them are no
Sergeeva-Olga [200]
What you must keep in mind is that there are 4 jeans in total, which represents 100%
 When she bought two jeans, we have the following information:
 If both of them are blue:
 50% of their jeans is blue now, that is:
 x = (50/100) * 4 = 2
 2 jeans are blue.
 This means that she did NOT have 2 blue jeans before.
 Thus:
 If they are not blue: 
 We have 4 jeans that are not blue.
 Then, 0% of her jeans is blue now
 answer:
 0% percentage of her jeans is blue now
7 0
3 years ago
160 is_% less than 200?
zmey [24]

Answer:

20%

Step-by-step explanation:

7 0
2 years ago
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