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g100num [7]
2 years ago
7

Solve the following equation: 30= |- 4y + 2|

Mathematics
1 answer:
photoshop1234 [79]2 years ago
3 0

Suppose -4y+2\ge0. Then by definition of absolute value,

|-4y+2| = -4y+2 \implies 30 = -4y+2 \implies -4y = 28 \implies \boxed{y=-7}

On the other hand, suppose -4y+2. Then

|-4y+2| = -(-4y+2) \implies 30 = 4y - 2 \implies 4y = 32 \implies \boxed{y=8}

Recall the definition,

|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}

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Step-by-step explanation:

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The slope of a line is . -1/3. and the y-intercept is 10/3
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B

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8 0
3 years ago
The mall is located 2.4 kilometers north of jays house. The caffe shop is located 0.7 kilometers east of the mall. What is the d
Iteru [2.4K]

The distance<u> between </u>Jays hair and the caffe shop is 2.5 km.

Since the mall is located 2.4 kilometers<u> north</u> of jays house and the caffe shop is located 0.7 kilometers <u>east </u>of the mall, both directions are perpendicular. So, the distance between Jays hair and the caffe shop forms the hypotenuse side of this right angled triangle.

So, using Pythagoras' theorem, we find the hypotenuse side of this triangle, L.

Pythagoras' theorem states that the sum of squares of the sides of a right angled triangle equal the square of the hypotenuse side.

So, L = √[(2.4 km)² + (0.7 km)²]

L = √[(5.76 km² + 0.49 km²]

L = √(6.25 km²)

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Learn more about Pythagoras' theorem here:

brainly.com/question/8171420

4 0
3 years ago
Find the value of x for which m//n<br> A.<br> 31<br> B.<br> 33<br> C.<br> 39<br> D.<br> 41
Nina [5.8K]
In order to be fulfilled m // n we must take into account the following angle:
 180-105 = 75 degrees
 Therefore, we match this angle to the given expression.
 We have then:
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 Clearing x we have:
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 x = 31 degrees
 Answer:
 
the value of x is:
 
A.
 
31
8 0
3 years ago
Read 2 more answers
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