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antoniya [11.8K]
1 year ago
5

Which linear function represents the line given by the point-slope equationy-2=4x-3)?

Mathematics
1 answer:
Softa [21]1 year ago
8 0
The answer to the question is
f(x)= 4x - 10
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How do you solve this?
max2010maxim [7]
Would 104/2 work? You get 52 which is the same as 24+28.
5 0
3 years ago
What is 3/8x + 15/2=18
mart [117]


Let's solve for x --

Isn't it always a little easier to solve a math problem with starting by rewriting the equation?

3/8x + 15/2 = 8

Step 1) Subtract 15/2 from both sides

3/8x + 15/2 - 15/2 = 8 - 15/2

3/8x = 1/2

Step 2) Multiply both sides by 8/3

(8/3) × (3/8x) = (8/3) × (1/2)

x = 4/3

FINAL ANSWER -

x = 4/3

↑   ↑   ↑  Hope this helps! :D

3 0
3 years ago
Verify the identitiy:
Advocard [28]

Answer:

\frac{sinx}{1-cos x}     =         cosecx  +  cot x

Step-by-step explanation:

To verify the identity:

sinx/1-cosx = cscx + cotx

we will follow the steps below;

We will take just the left-hand side and work it out to see if it is equal to the right-hand side

sinx/1-cosx

Multiply the numerator and denominator by 1 + cosx

That is;

\frac{sinx}{1-cos x}     =    \frac{sinx(1+cosx)}{(1-cosx)(1+cosx)}

open the parenthesis on the right-hand side of the equation at the numerator and the denominator

sinx(1+cosx) = sinx + sinx cosx

(1-cosx)(1+cosx) = 1 - cos²x

Hence

\frac{sinx(1+cosx)}{(1-cosx)(1+cosx)}     =  \frac{sinx + sinx cosx}{1-cos^{2}x }

But 1- cos²x  = sin²x

Hence we will replace  1- cos²x  by  sin²x

   \frac{sinx}{1-cos x}    =       \frac{sinx(1+cosx)}{(1-cosx)(1+cosx)}     =  \frac{sinx + sinx cosx}{1-cos^{2}x }   =  \frac{sinx+sinxcosx}{sin^{2}x }

                             

                                  =\frac{sinx}{sin^{2}x }   +   \frac{sinxcosx}{sin^{2}x }

                                   

                                   =\frac{1}{sinx}   +   \frac{cosx}{sinx}

             

                                   =cosecx  +  cot x

\frac{sinx}{1-cos x}     =         cosecx  +  cot x

Note that;

\frac{1}{sinx}  = cosecx                        

         

 \frac{cosx}{sinx}   =       cot x

                                     

6 0
3 years ago
Find the five number summary for the data set shown below.
grin007 [14]
Minimum: 1

Q1: 2.5

Q2: 5

Q3: 7

Maximum: 13
5 0
2 years ago
What is 7 1/12 - 2 3/4 in simplest form
stich3 [128]

7 1/12  -  2 3/4

First we have to change mixed numbers to improper fractions

7 1/12  =  7 x 12 + 1 = 85   85/12

2 3/4  =  2 x 4 + 3 =  11     11/4

 85/12 - 11/4

Now we need to find the LCD (least common denominator) for 4 and 12

4, 8, 12

12

12 is our LCD, so it becomes our new denominator

85/12 would stay the same because the denominator wasn't changed but for 11/4 our new denominator is 12, so our fraction will change.

11/4  =  33/12 

4 goes into 12, 3 times. What you do to the bottom, you do to the top.

3 x 11 = 33

3 x 4 = 12

So, our new fraction is 33/12.  Now we subtract

85/12  -  33/12  =  52/12

Now we convert back to a mixed number

52 ÷ 12 = 4 4/12 reduce

4 1/3

Hope this helps.


6 0
3 years ago
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