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4 years ago

Line A has an equation of y=-2/5x + 3. What is the slope of a line perpendicular

Mathematics

1 answer:

Nat2105 [25]4 years ago

5 0

Answer:

$\frac{5}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{2}{5}$ x + 3 ← is in slope- intercept form

with slope m = - $\frac{2}{5}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{2}{5} }$ = $\frac{5}{2}$

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Assume that 2 cards are drawn from a standard 52-card deck. Find the following probabilities.

topjm [15]

Answer:

Step-by-step explanation:

WITHOUT replacement of first card drawn:

P(a 10 is drawn) = 13/52 = 1/4

P(the next draw is a 10) = 12/52 = 3/13

P(drawing two 10s without replacement of the first draw) = (1/4)(3/13) = 3/52

WITH replacement of first card:

P(two 10s are drawn) = P(first card is a 10)*P(first card is a 10) = (4/13)(4/13) =

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3 years ago

The first three steps in determining the solution set of the system of equations algebraically are shown in the table. y = −x2 +

lianna [129]

You have a system of equations $\left \{ {{y = -x^2+2x-9} \atop {y =-6x+6}} \right.$ .

1. Substitude right side of second equation into the left side of the first equation: $-6x+6=-x^2+2x-9$ .

2. Solve this equation:
$x^2-2x+9-6x+6=0, \\ x^2-8x+15=0, \\ D=(-8)^2-4\cdot 1\cdot 15=64-60=4, \\ \sqrt{D}=2, \\ x_{1,2}=\dfrac{8\pm 2}{2 } =3,5$ .

3. Find y:
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4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.

7 0

3 years ago

Read 2 more answers

I need help ASAP?!!!!

Roman55 [17]

Answer:

B. 1 3/8

The second one

Step-by-step explanation:

4 1/8 ÷ 3 = 1.375 = 1 3/8

hope this helps

have a good day

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2 years ago

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Stells [14]

3x=14 I am pretty sure

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3 years ago

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liberstina [14]

I’m going to say b.66 because 3.14•10.5•2=65.94

I got 10.5 by dividing 21 by 2 because I guessed it was the diameter

5 0

3 years ago