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nevsk [136]
3 years ago
8

Angle RST is a right angle. If line RS has a slope of 3, what must be the slope of line ST?

Mathematics
1 answer:
Arisa [49]3 years ago
5 0
Because RS is perpendicular to ST so the slope of line ST is -\frac{1}{3}
You might be interested in
Can someone help me with number 8 please? Thank you.
Naddik [55]
Answer: -4 \le x \le 5
Note: to write the domain in interval notation, you'd write [-4,5]
if you need the domain in set-builder notation, then you'd write \left\{x|x\in\mathbb{R}, \ -4\le x\le 5\right\}

------------------------------------------------------------------------------

Explanation:

The domain is the set of possible x input values. Look at the left most point (-4,-1). The x coordinate here is x = -4. This is the smallest x value allowed. The largest x value allowed is x = 5 for similar reasons, but on the other side of the graph.

So that's how I got -4 \le x \le 5 (x is between -4 and 5; inclusive of both endpoints)

Writing [-4,5] for interval notation tells us that we have an interval from -4 to 5 and we include both endpoints. The square brackets mean "include endpoint"

Writing \left\{x|x\in\mathbb{R}, \ -4\le x\le 5\right\} is the set-builder notation way of expressing the domain. The x\in\mathbb{R} portion means "x is a real number"

6 0
3 years ago
How is domain of the function f(x)=sinx restricted so that its inverse function exists?
Virty [35]

Answer:

Correct answer:  sin x ⇒D(x) :  [- π/2, π/2] ; sin⁻¹x ⇒ CD(x) :  [- π/2, π/2]

Step-by-step explanation:

In order for the function sin x to have an inverse function sin⁻¹x due to the monotony, the domain is taken D(x) :  [- π/2, π/2] and the range of sin⁻¹x  is CD(x) :  [- π/2, π/2].

God is with you!!!

8 0
3 years ago
A house is purchased for $375000 and has gained 12% for the last 5 years. What is it now ?
Ksenya-84 [330]

Answer:

  $420,000

Step-by-step explanation:

The added percentage can be turned into a multiplier to make the problem easier.

  value + 12%×value = value(1 +0.12) = 1.12×value

  1.12×$375,000 = $420,000

It is $420,000 now.

7 0
3 years ago
Plsss help meee!!!!!!​
Lina20 [59]

Answer:

  • given below

Step-by-step explanation:

1)

total area = rectangle area + 2 triangle area

                =  length * width = 2 ( \frac{1}{2} * base * height )

                =  7.5 * 6 + 2 (  \frac{1}{2} * 3 * 4 )

                = 57 ft²

2)

separate it into two rectangles:

length * width + length * width

  6  *   2  +  9 * 4

      48 cm²

3)

parallelogram area =  base * height

                                = 20 * 25

                                 = 500 in²

6 0
2 years ago
Evaluate:<br> 6(-2)² - 4(-2) +3
murzikaleks [220]
The answer is 29. 6(4)-(-8) plus 3
7 0
3 years ago
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