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3 years ago

10

If the slope of a line is -2, what is the slope of a perpendicular line?

2 answers:

jonny [76]3 years ago

7 0

Answer:

option 4

Step-by-step explanation:

$perpendicular means = slope_1 \times sope_2 = -1\\$

$-2 \times slope_2 = -1\\\\slope_2 = \frac{1}{2}$

vivado [14]3 years ago

5 0

Answer:

1/2

Step-by-step explanation:

The slopes of perpendicular lines are negative reciproclas. That means their product equals -1.

If you know the slope of a line, to find the slope of a perpendicular line, flip the slope and change the sign.

Given line: slope = -2

-2 is the same as -2/1

Flip it: -1/2

Change the sign: 1/2

Answer: 1/2

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ATCs are required to undergo periodic random drug testing.

aleksandr82 [10.1K]

Answer:

The responsess to the given question can be defined as follows:

Step-by-step explanation:

$P(medication\ used) = 0.007 \\\\P( drug \not\ used ) = 1 - 0.007 = 0.993\\\\P(test\ positive | medication \ used) = 0.96 \\\\ P(test \ negative | medication \ used) = 1 - 0.96 = 0.04\\\\$

$P(Point | Non-used\ medication )=0.93\\\\ P(Point |No\ medication ) = 1 - 0.93 = 0.07$

As per the given info we draw the tree diagram which is defined in the attachment file.

$P ( test \ is\ positive ) = P( medication \ used ) \times P( Test \ positive | medication \ used ) + P( medication not \ used ) \times P( Test\ positive | medication \ not \ used )$

$= ( 0.007 \times 0.96 ) + ( 0.993\times 0.07 )\\\\= 0.0762$

$P( medication \ used | test\ positive )= \frac{\textup{P( medication used ) *P( Test positive given medication used )}}{\textup{P( medication used )}}$

$= \frac{( 0.007\times 0.96 )}{0.0762}\\\\= 0.0882$

8 0

2 years ago

Lena [83]

The answer is 30 I believe

7 0

2 years ago

Read 2 more answers

Katelyn is training for a marathon. This week she ran 6 miles less than 2 times the number of miles she ran the previous week. S

Kobotan [32]

Answer:

The system of Equations =

r = 2p - 6........ Equation 1

r + p = 42 ........Equation 2

Hence:

the number of miles she ran this week = r = 26 miles

the number of miles she ran the previous week = p = 16 miles

Step-by-step explanation:

Let the number of miles:

the number of miles she ran this week = r

the number of miles she ran the previous week = p

Katelyn is training for a marathon. This week she ran 6 miles less than 2 times the number of miles she ran the previous week.

r = 2 × p - 6 miles

r = 2p - 6........ Equation 1

She ran a total of 42 miles in the two weeks.

r + p = 42 miles

r + p = 42 ........Equation 2

Which system of equations can be used to find the number of miles she ran this week, r, and the number of miles she ran the previous week,p?

The system of Equations =

r = 2p - 6........ Equation 1

r + p = 42 ........Equation 2

We substitute 2p - 6 for r in Equation 2

2p - 6 + p = 42

3p = 42 + 6

3p = 48

p = 48/3

p = 16 miles

Solving for r

r = 2p - 6........ Equation 1

r = 2(16) - 6

r = 32 - 6

r = 26 miles

Hence:

the number of miles she ran this week = r = 26 miles

the number of miles she ran the previous week = p = 16 miles

7 0

3 years ago

3^x-3^(x-2)=A*3^x <br><br> solve for A

ale4655 [162]

Answer:

$a=\frac{8}{9}$

Step-by-step explanation:

$3^x-3x^{x-2} =a3^x$

Divide both sides by $3^x$ :

$3^{x-x}-3^{x-x-2}=a$

Simplify:

$3^0-3^{-2}=a\\a=1-\frac{1}{9} \\a=\frac{8}{9}$

3 0

3 years ago

What is the value of b in the equation (y Superscript b Baseline) Superscript 4 Baseline = StartFraction 1 Over y Superscript 24

shusha [124]

The value of b is -6.

Explanation:

The expression is $\left(y^{b}\right)^{4}=\frac{1}{y^{24}}$

To determine the value of b, we shall solve the expression.

Applying exponent rule, $\left(a^{b}\right)^{c}=a^{b c}$ , we get,

$y^{4b}=\frac{1}{y^{24}}$

Applying exponent rule, $\frac{1}{a^{b}}=a^{-b}$ , we have,

$y^{4b}=y^{-24}$

The expression is of the form, $a^{f(x)}=a^{g(x)}$ then $f(x)=g(x)$

Applying this rule, we get,

$4b=-24$

Dividing both sides by 4, we have,

$b=-6$

Hence, the value of b is -6.

4 0

3 years ago

Read 2 more answers