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iris [78.8K]
3 years ago
9

Solve the equation 10r – 2 = 28 for r.

Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0

Answer:

r=3

Step-by-step explanation:

First we add 2 to both sides.

That leaves us with 10r=30

Then we can divide both sides by 10

r=3

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A videp store took $450 in DVD rentals during one day . If DVDs rent for $9 each , how many DVDs were rented.
Masja [62]

Answer:

50

Step-by-step explanation:

let x = total DVD rentals

450=9x

450/9=x

50=x

50 DVDs were rented

4 0
2 years ago
Fas
Mrrafil [7]

The graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.

<h3>What is transformation of a function?</h3>

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

  • Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
  • Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.

The given function is,

f(x) = x^3

This function is changed to the function,

g(x) = 2f(x -3),

Here the 3 units is substrate in the function. Thus, it is shiftet 3 units right. The number 2 is multiplied in the function which vertically stretched the graph by a factor of 2.

Thus, the graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.

Learn more about the transformation of a function here;

brainly.com/question/10904859

#SPJ1

5 0
2 years ago
Ship A and Ship B are 120 km apart when they pick up a distress call from another boat. Ship B estimates that they are 70 km awa
oksian1 [2.3K]

Answer:

147.5 km and 64.4 km

Step-by-step explanation:

a=120  km

b=70  km

β=28 degrees ( ∘)

 

b^2=(a^2)+(c^2)−2ac*cosβ  

70^2 =(120^2 )+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )  

 (c^2 ) −211.907c+9500=0  

 

note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use

p=1;q=−211.907;r=9500  

D=(q^2 ) −4pr=(211.907^2 )−4⋅1⋅9500=6904.75561996  

D>0  

 

c_{1,2}  =   (−q±  \sqrt{D}   )/2p=(211.91±\sqrt{6904.76})/2

​c_{1,2}  =105.95371114±41.5474295834  

(c_{1}−147.501140726)(c_{2}−64.4062815596)=0

c_{1}=147.501140726  

c_{2}=64.4062815596  

5 0
3 years ago
Plz help!!! Will give brainliest!!!
ElenaW [278]

Answer:

94+41=135.

180-135=45.

45+111=156

180-156=24

x=24.

4 0
3 years ago
Which of the following is true for an isometry?
FrozenT [24]
Isometry is defined as the <span> transformation that is invariant with respect to  the distance
The statement that is true for isometry that is corrrect is
</span><span>The preimage and the image are congruent.
</span>so correct option is A as both the preimage and image are congruent
hope it helps<span />
5 0
3 years ago
Read 2 more answers
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