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alukav5142 [94]
3 years ago
9

What is the equation of a line with slope -1/2 passing through (-5,4)?

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
4 0
For this question you need to use what's called point-slope form. It's named this way because you can use it if you have both the slope and a point at which the line passes through. That said, the equation is as follows:

y - y1 = m(x - x1)

Both y1 and x1 represent the y and x coordinates you are given in the question. Also, m represents the slope of the line that you are given. Knowing this, our equation now looks like this:

y - 4 = -0.5(x - (-5))

And now simplify:

y - 4 = -0.5(x + 5)
y - 4 = -0.5x - 2.5

y = -0.5x + 1.5
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3 years ago
What is the distance between -45 and 65
tatyana61 [14]

Answer:

110

Step-by-step explanation:

What is the Difference between -45 and +65? In other words, what is the Difference between negative 45 and positive 65?

To solve this math problem, start by picturing a horizontal number line that starts with negative infinity on the left and ends with positive infinity on the right:

∞ ..... -3, -2, -1, 0, +1, +2, +3, .... ∞

The Difference between -45 and +65 is the distance between -45 and +65 on our number line above. Thus, the Difference between two numbers will always be a positive number.

It is a two-step process to calculate the Difference between -45 and +65. Step 1 is to subtract +65 from -45, and Step 2 is to find the absolute value of the Step 1 answer. Here is the math to illustrate better:

(-45) - (+65) = -110

|-110| = 110

That's it! The Difference between -45 and +65 is as follows:

110

5 0
3 years ago
Errors in an experimental transmission channel are found when thetransmission is checked by a certifier that detects missing pul
irina1246 [14]

Answer:

As shown below

Step-by-step explanation:

Given that when X denotes the errors in an experimental transmission channel, when checked by a certifier that detects missing pulses. follows the cumulative density function as given below:

F(x) = 0, 0

(a) P(X \leq  4) =F(4) = 0.9\\(b) P(X > 7)=1-F(8) = 0\\(c) P(X \leq  5)=F(6) = 0.9 \\(d) P(X> 4)=1-F(4)=1-0.9=0.1 \\(e) P(X \leq  2)=F(3) = 0.7

6 0
3 years ago
Triangle Q R S is shown. Angle Q R S is 100 degrees. The length of Q R is 2.4 and the length of Q S is 3.5. Law of sines: StartF
Orlov [11]

Answer:

StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (S) Over 2.4 EndFraction

in other words, A.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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