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Margarita [4]
3 years ago
13

write an equation in slope-intercept form for the line that is perpendicular to -2x-8y=16 and that passes through (4,5)

Mathematics
1 answer:
mash [69]3 years ago
6 0
Slope of line perpendicular to ax+by=c is b/a

given
-2x-8y=18
slope of perpendicular is -8/-2=4

y=4x+b
find B
(4,5)
x=4,y=5
5=4(5)+b
5=20+b
minus 20
-15=b

y=4x-15
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Answer: -19, -23, -27

Step-by-step explanation:

You minus/subtract 3 each time to get your next three terms

3 0
3 years ago
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
avanturin [10]

The correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

The given inequality is -3(2x - 5) < 5(2 - x)

We need to simplify the inequality.

<h3>What is inequality?</h3>

In mathematics, inequality is a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Consider LHS and simplify -3(2x - 5) = -3(2x)-5(-3)

⇒ -3(2x - 5) = - 6x + 15 [∵(-)(-) = (+)]

Consider RHS and simplify 5(2 - x) = 5(2) + 5(-x)

⇒5(2 - x) = 10 - 5x [∵(+)(-) = (-)]

Now, - 6x + 15 < 10 - 5x

By subtracting 15 from both sides, we get

- 6x < -5 - 5x

By adding 5x to both sides, we get - x < - 5

The coefficient of x is -1. So, divide both sides by -1

Then we get x > 5

Hence, the correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

5 0
2 years ago
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AlekseyPX

Answer: The question is?

6 0
3 years ago
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If x = −4 is a zero of the polynomial function f(x) = 2x3 + 13x2 + 23x + 12, which of the following is another zero of f(x)?  x
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Answer:

x= -1 is the another zero of the given function.  

Step-by-step explanation:

We have been given a function:

f(x)=2x^3+13x^2+23x+12

The zero of the function is that point where the function vanishes or the value of the function becomes zero.

From the given four values we will put the values in the function and wherever we get zero is the zero of the function.

put x= -1 we get:

f(-1)=2(-1)^3+13(-1)^2+23(-1)+12

f(-1)=-2+13-23+12=0

Hence, x= -1 is the another zero of the given function.  

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