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nexus9112 [7]
3 years ago
9

Slope of parallel and perpendicular line

Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0

Answer:

2/5

Step-by-step explanation:

Whenever two lines are <u>parallel</u>, they surely have the <u>same slope.</u>

*extra info: whenever two lines are <u>perpendicular</u> to eachother, the <u>product</u> of their slopes will be equal to <u>-1</u>.

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write an equation in slope-intercept form for the line that passes through (-2,5) and is perpendicular to the line described by
Rama09 [41]

Answer:

<h2>         y = ¹/₂x + 6</h2>

Step-by-step explanation:

The product of slopes of perpendicular lines is -1

y = - 2x + 6  ⇒   m₁ = - 2

m₁m₂ = -1

-2m₂ = -1

m₂ = ⁻¹/₋₂ = ¹/₂

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is:  y - y₁ = m(x - x₁)

m = ¹/₂

(-2, 5)  ⇒  x₁ = -2,  y₁ = 5

So the equation in point-slope form:

                                                  y - 5 = ¹/₂(x - (-2))

Therefore:

y - 5 = ¹/₂x + 1

y = ¹/₂x + 1 + 5

<h3>y = ¹/₂x + 6</h3>
4 0
2 years ago
Jane addresses twice as many envelopes as Louis in the same amount of time. Together their dress 360 envelopes each day. How man
Flauer [41]
Louis = x
Jane = 2x (Twice as many as Louis)
Together they have 360
x + 2x = 360
3x= 360
x=120
2(120)= 240
Jane addresses 240 envelopes
7 0
3 years ago
Find the slope of the line represented by the table of values. A) 1/2 B) 1 C) 2 D) 4
ahrayia [7]

Answer:8888585969

Step-by-step explanation:

8 0
3 years ago
1<br> Is the value of -6 -6 POSITIVE, NEGATIVE, or ZERO?
xxTIMURxx [149]

Answer:

Negetive

Step-by-step explanation:

It helps to re-write.

-6 + -6 is the same as -6 -6

-6 + -6 = - 12

It would be different if these were multiplied together, but AS WRITTEN, they are subtracted. If it was (-6)(-6) or -6(-6) that would indicate multiplication as well.

The answer is negative.

4 0
3 years ago
A radioactive substance has a continuous decay rate of 0.056 per minute. How many grams of a 120 gram sample will remain radioac
sammy [17]

Answer:

The mass of the radioactive sample after 40 minutes is 12.8 g.

Step-by-step explanation:

The mass of the sample can be found by using the exponential decay equation:

N_{t} = N_{0}e^{-\lambda t}

Where:

N(t): is the amount of the sample at time t =?

N₀: is the initial quantity of the sample = 120 g

t = 40 min

λ: is the decay constant =  0.056 min⁻¹

Hence, the mass of the sample after 40 min is:

N_{t} = N_{0}e^{-\lambda t} = 120g*e^{-0.056min^{-1}*40 min} = 12.8 g

     

Therefore, the mass of the radioactive sample after 40 minutes is 12.8 g.

I hope it helps you!

5 0
3 years ago
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