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2 years ago

What is the slope of the line created by this equation? y-6 = -3(x--8) Help!

Mathematics

1 answer:

aliya0001 [1]2 years ago

4 0

Rewrite the equation in slope intercept form:

Y -6 = -3(x - -8)

Use the distributive property on the right side first:

Y -6 = -3x -24

Add 6 to both sides

Y = -3x -18

The slope is the number in front of the x variable.

Slope = -3

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harkovskaia [24]

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3 years ago

What is 5X minus Y equals 6+ negative 2X plus Y=8

vova2212 [387]

Answer:

For the given expression: $X = (\frac{10}{3}) , Y = (\frac{26}{3})$

Step-by-step explanation:

Here, the given expression in statement form is given as:

5 X minus Y equals 6 + negative 2 X plus Y = 8

Now, converting the given statement mathematically, we get:

5X - Y = 6 + (-2X) + Y = 8

Now, considering first and the last terms,we get:

5 X - Y = 8 .... (1)

and , considering second and the last terms,we get:

6 + (-2X) + Y = 8 or, -2X + Y = 2 ......... (2)

Adding (1) and (2) , we get:

5 X - Y - 2 X + Y = 8 + 2

or, 3 X = 10

or, X = 10/3 = 3.34

Now, 5X - Y = 8

or, $5(\frac{10}{3}) - Y = 8\\ \implies Y = \frac{50}{3} - 8 = \frac{50 - 24}{3} = \frac{26}{3} \\\implies Y = \frac{26}{3}$

Hence, for the given expression:

$X = (\frac{10}{3}) , Y = (\frac{26}{3})$

3 0

3 years ago

Let f(x)=x2−3x−4 . What is the average rate of change from x = 7 to x = 10? Question 6 options: 24 14 66 42

Fed [463]

Just find the slope between the points

basically find (f(10)-f(7))/(10-7)

f(7)=7^2-3(7)-4=49-21-4=24
f(10)=10^2-3(10)-4=100-30-4=66

slope=(66-24)/(10-7)=42/3=14
average rate of change is 14

8 0

3 years ago

The slope of a line is 2/3 What is the slope of a line that is perpendicular to this line?

Mekhanik [1.2K]

The correct answer should be -3/2

6 0

3 years ago

The specifications for an electronic device state that it is to be operated in a room with relative humidity ℎ defined by |ℎ − 5

Nadya [2.5K]

Answer: $\Large\boxed{20 < h < 80}$

Step-by-step explanation:

Given inequality

$|h-50| < 30$

The goal of the question

To find the minimum and maximum of the relative humidities

For this question, we need to solve the inequality

Simplify the absolute value sign

$h-50 < 30$ or $h-50 > -30$

Add 50 on both sides

$h-50+50 < 30+50$ or $h-50+50 > -30+50$

$\Large\boxed{h < 80}$ or $\Large\boxed{h > 20}$

Hope this helps!! :)

Please let me know if you have any questions

5 0

1 year ago