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2 years ago

What is the solution for this inequality? 8x ≤ -32

Mathematics

1 answer:

mina [271]2 years ago

5 0

Answer:

x≤-4

Step-by-step explanation:

There is one very important exception to the rule that multiplying or dividing an inequality is the same as multiplying or dividing an equation. Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.

8x≤-32

1. Divide both sides by 8

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Step-by-step explanation:

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The coordinates of P and Q are (2,6) and (4,5) respectively. Equation of a line RS is Y= 2X -3. Determine if the lines are paral

Travka [436]

Answer:

Perpendicular

Step-by-step explanation:

Given points P=(2,6) and Q=(4,5)

The line RS is y=2x-3.

Now we know that the line joining any two points (x1,y1) and (x2,y2) has slope m= $\frac{y2-y1}{x2-x1}$

Now the slope of the line PQ is

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We know that the slope of the line in the form y=mx+c is m

So the line RS has slope m2=2

Now two lines are parallel if m1=m2

And those two lines are perpendicular if $m1*m2=-1$

here m1= - $\frac{1}{2}$ and m2=2

clearly $m1*m2=-1$

Therefore the two given lines are perpendicular

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2 years ago

The value of a phone when it was purchased was $500. It loses 1/5 of its value a year. What is the value of the phone after 1 y

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2 years ago

The length of a rectangle is 15 ft greater than its width. If each dimension is decreased by 2 ft, the area will be decreased by

padilas [110]

Answer:

length = 35ft, width = 20ft

Step-by-step explanation:

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We can set up the first equation using the relationship between L and W:

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