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Kisachek [45]
2 years ago
6

Which equation of a line contains point (1-1) and is parallel toy = 2x + 5?​

Mathematics
1 answer:
ella [17]2 years ago
8 0

Answer:

Answer is y = 2x - 3

Step-by-step explanation:

• Equation of parallel lines have the same slope. So first two equations are okay.

• For point (1, -1):

{ \rm{y = mx + c}} \\ { \rm{ - 1 = 2 + c}} \\ { \rm{c =  - 3}}

• Equation is y = 2x - 3

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What is the area and perimeter for these two shapes?
Lubov Fominskaja [6]
A:
Area: 289 m
Perimeter: 51 m

B:
Area: 4 m
Perimeter: 8 m
5 0
2 years ago
Adhy, Ben and Clayson shared a bag of chocolates. The ratio of Adhy's share to Ben's share is 3:4 while
Ira Lisetskai [31]

Answer:   33

<u>Step-by-step explanation:</u>

The ratio of Adhy's to Ben's is 3:4 so let

Adhy = 3x

Ben = 4x

Since Ben = Adhy + 9

then   4x   =    3x    + 9

-->        x    =  9

So, Adhy = 3x  = 3(9)   = 27

     Ben   = 4x   = 4(9)   = 36

*************************************************************

The ratio of Ben's to Clayson's is 3:5

How do we get Ben's ratio of 3 equal to 36? <em>by multiplying by 12</em>

Ben  :  Clayson

<u>3 x 12</u>    <u>5 x 12</u>

 36          60

So, Clayson = 60

***********************************************************

The difference between Adhy and Clayson is:

Clayson - Adhy

   60     -    27    = 33

3 0
3 years ago
a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu
Hunter-Best [27]
What you need to look for is \frac { dr }{ dt } when r=8.

Now:

Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }

\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr }  } =\frac { 1 }{ 4\pi { r }^{ 2 } }

And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi  }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }

\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi  }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi  }{ \pi  } \cdot \frac { 1 }{ { r }^{ 2 } }

\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec
3 0
3 years ago
What are the center and radius of the circle defined by the equation x^2 y^2-6x 4y 4=0?
Kazeer [188]
Please rewrite this equation of the circle correct with signs of minus or plus 
6 0
3 years ago
Paul high earns $5.00 an hour working part-time at an auto parts store he work 16 hours per week. What is his gross pay each wee
Nataly [62]

Answer:

$80

Step-by-step explanation:

$5 per hour, then for 16houurs. 5*16=80

6 0
3 years ago
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