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Alex787 [66]
3 years ago
9

At 6:00 A.M. the temperature was 33°F. By noon the temperature had increased by 10°F and by 3:00 P.M. it had increased another 1

2°F. If at 10:00 P.M. the temperature had decreased by 15°F, how much does the temperature need to rise or fall to return to the original temperature of 33°F?
Mathematics
1 answer:
zhuklara [117]3 years ago
7 0
33 + 10 + 12 - 15 - 33 = 7°F
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PLEASE HELP ASAP!!!!
OleMash [197]

Answer:

y = -2x + 8

Step-by-step explanation:

The point slope form of an equation is written as

y = mx + c              ...............(i)

Where m is the slope and c is the constant

Now we Know that the equation is

y + 2 = -2(x-5)

and the given points are

m= -2

x = 5

and y= -2

Putting these values in equation (i) to find the value of c

y = mx + c

it becomes

-2 = -2(5) + c

-2 = -10 + c

Adding 10 on both sides

-2 + 10 = -10 + 10 + c

8 = c

or c=8

Now we have the values of m and c

where m= -2 and c = 8

Point slope form of an equation is

y = mx + c

putting the values of m and c to get equation in slope intercept form is

y = (-2)x + 8

or

y = -2x + 8


Other method:

The given point slope form is

y + 2 = -2(x-5)

We have to change it in y= mx + c      form

so solving it

y + 2 = -2x + 10

Subtracting 2 from both sides

y + 2 -2 = -2x + 10 -2

y = -2x + 8

which is same is

y=mx + c

so the required equation is

y = -2x + 8  

7 0
3 years ago
NEED HELP ASAP!! can someone please explain this to me!
34kurt

Answer:

  BG = 3; GE = 6

Step-by-step explanation:

The centroid of a triangle divides the median into two parts in the ratio 1 : 2. That is, the short segment is 1/3 the length of the median, and the long segment is 2/3 the length of the median.

  BG = 1/3·BE = 9/3 = 3

  GE = 2/3·BE = 2/3·9 = 18/3 = 6

7 0
3 years ago
please help :) What is 7.7 x 10 to the 8 power written in standard form? A. 770,000,000 B. 77,000,000,000 C. 77,000,000 D. 7,700
Serjik [45]

Answer:

A. 770,000,000

Step-by-step explanation:

7.7x10^8 First step is to simplify

7.7x100,000,000 Then, multiply

770,000,000

Hope this helps, if it does, please consider giving me brainliest, it will help me a lot. If you still have any questions, feel free to ask.

Have a good day! :)

7 0
3 years ago
Given the line below.
Roman55 [17]

Answer:

The equation of the line in point slope form is equal to

y+2=(x+2)

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(-2,-2) and (2,2)

substitute the values

m=\frac{2+2}{2+2}=1

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=1\\(x1,y1)=(-2,-2)

substitute the values in the formula

y-(-2)=(1)(x-(-2))\\y+2=(x+2)

5 0
3 years ago
Plzz solve this easy calculus :')
Digiron [165]

Answer:

\sin \: x -  \cos  x \:  + c

Step-by-step explanation:

\int \frac{cos2x}{ \sqrt{1 - sin2x} } dx \\  \\  =  \int \frac{ {cos}^{2}x -  {sin}^{2}x }  { \sqrt{ {sin}^{2}x +  {cos}^{2}x - 2sinx \: cosx  }  } dx \\  \\ =  \int \frac{ ({cos}x -  {sin}x )({cos}x  +   {sin}x )}  { \sqrt{  {({cos}x -  {sin}x )}^{2}  }  } dx \\  \\ =  \int \frac{ ({cos}x -  {sin}x )({cos}x  +   {sin}x )}  {{  {({cos}x -  {sin}x )} }  } dx \\  \\  =  \int({cos}x  +   {sin}x)dx \\  \\  = \int{cos}x  \: dx +    \int{sin}x \: dx \\  \\  =  \sin \: x -  \cos  x \:  + c

3 0
3 years ago
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