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Lisa [10]
2 years ago
15

Write the equation for a line with a slope of 2 that passes through the point (1,4)

Mathematics
1 answer:
vredina [299]2 years ago
4 0

Answer:

y=2x+2 in slope-intercept form

y-4=2(x-1) in point-slope form

Step-by-step explanation:

I used the slope to find other points and the the y-intercept to put it into slope-intercept form.

I plugged the numbers into the formula and got the point-slope equation.

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Find all complex solutions of 7x^2-7x+3=0
Sedaia [141]

Answer:

The complex solutions are

x =  (\frac{7-\sqrt{35}  i }{42} , ) x =  \frac{7 + \sqrt{35} i }{42})

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation  7 x² - 7 x +3=0

                     x =  (\frac{-b -\sqrt{b^{2}-4ac } }{2ac} ,  \frac{-b +\sqrt{b^{2}-4ac } }{2ac})

Given standard equation

                         a x² +b x +c =0

 a = 7 , b= -7 and c=3

<u><em>Step(ii):-</em></u>

<u><em></em></u>x =  (\frac{-(-7) -\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)} ,  \frac{-(-7) +\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)})<u><em></em></u>

<u><em></em></u>x =  (\frac{7-\sqrt{(49-84 } }{42} ,  \frac{7 +\sqrt{(49-84 } }{42})<u><em></em></u>

x =  (\frac{7-\sqrt{35i^{2} }  }{42} ,  \frac{7 + \sqrt{35i^{2} }  }{42})

x =  (\frac{7-\sqrt{35}  i }{42} ,  \frac{7 + \sqrt{35} i }{42})

<u><em></em></u>

8 0
2 years ago
summer break is almost around the corner. You and your family call an uber and need to know how many miles you can be driven. Ub
Alex777 [14]

Answer:

You can go 26 miles

Step-by-step explanation:

15 - 1 = 14

14 ÷ 0.52 = 26.92

4 0
2 years ago
Brian invests £1500 into his bank account. He receives 2% per year simple interest. How much will Brian have after 3 years? Give
Jet001 [13]

Answer:

1590

Step-by-step explanation:

1500 x 0.02

= 30

30 x 3

= 90

1500+90 = 1590

(ps.. there was an equation for this i just forgot it, you can look it up and check it)

8 0
2 years ago
Find the prime factorization of each number
In-s [12.5K]
   58               212                     2800                900
  /    \              /    \                  /            \              /  \
29    2          2    106           700          4           3  300 
                          /    \          /      \        /  \              /    \  
                        2     53     70     10    2   2          3     100  
                                        /  \     /   \                            /   \ 
                                      7 10   5   2                         2    50
                                         /  \                                         /  \
                                       5    2                                     5  10
                                                                                        /   \ 
                                                                                      5    2
The prime factors are in bold. 
3 0
3 years ago
Can you form a right triangle with the three lengths given? Why or why not? 5 cm, 12 cm, 13 cm
nordsb [41]

Yes,  I  form a right triangle with the three lengths given, because The largest side which is 13cm can be squared  and will be set to  equal to the sum of squares of smaller two side.

<h3>What is a right-angled triangle?</h3>

A  right-angled triangle serves as the  triangle having  one of its angles equal to 90 degrees.

It should be noted that the other two angles sum up to 90 degrees., hence  I  form a right triangle with the three lengths given, because The largest side which is 13cm can be squared  and will be set to  equal to the sum of squares of smaller two side.

Read more on the right triangle here:

brainly.com/question/2217700

#SPJ1

4 0
1 year ago
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