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RideAnS [48]
4 years ago
5

4,9,14,19 the 40 term?

Mathematics
1 answer:
Novosadov [1.4K]4 years ago
8 0

Answer:

199

Step-by-step explanation:

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The equation 6x2 - 132 +5 -0 has solutions of the form
MArishka [77]

Answer:

(A)

N = -b = -(-13) = 13\\\\

D =b^2 -4ac = (-13)^2 - 4(6)(5) = 169- 120 = 49

M = 2a = 2(6) = 12

(B)

$ x = (\frac{5}{3} , \: \frac{1}{2}) $

Step-by-step explanation:

The given equation is

6x^2 - 13x + 5 = 0

The solution is of the form as given by

$x=\frac{N\pm\sqrt{D}}{M}$

(A) Use the quadratic formula to solve this equation and find the appropriate integer values of N, M and D. Do not worry about simplifying the VD yet in this part of the problem.

The quadratic formula is given by

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

The equations of N, M and D are

N = -b

D =b^2 -4ac

M = 2a

The values of a, b and c are

a = 6 \\\\b = -13 \\\\c = 5

So,

N = -b = -(-13) = 13\\\\

D =b^2 -4ac = (-13)^2 - 4(6)(5) = 169- 120 = 49

M = 2a = 2(6) = 12

(B) Now simplify the radical and the resulting solutions. Enter your answers as a list of integers or reduced fractions, separated with commas. Example: -5/2-3/4

N = 13

D = 49

M = 12

$x=\frac{13\pm\sqrt{49}}{12}$

$x=\frac{13\pm7}{12}$

$ x=\frac{13+7}{12} $  and $ x=\frac{13-7}{12} $

$ x=\frac{20}{12} $  and $ x=\frac{6}{12} $

$ x=\frac{5}{3} $  and $ x=\frac{1}{2} $

$ x = (\frac{5}{3} , \: \frac{1}{2}) $

5 0
3 years ago
Y+4/12-y-1/12=y/2<br><br> Pls! on a time limit
icang [17]

Answer:

y= 1/2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The sum of two numbers is 15. The larger number is 2 less than three times the smaller number. What are the two numbers?
viva [34]
Two numbers are called x and y
x + y = 15
3x = y+2

Convert to slope intercept:
y = -x + 15
y = 3x - 2
8 0
4 years ago
What is the diagonal of a right triangle
bekas [8.4K]

Answer:

diagonal of a polygon is a line from a vertex to a non-adjacent vertex. So a triangle, the simplest polygon, has no diagonals. You cannot draw a line from one interior angle to any other interior angle that is not also a side of the triangle.

Step-by-step explanation:

To find the length of the diagonal (or hypotenuse) of a right triangle, substitute the lengths of the two perpendicular sides into the formula a2 + b2 = c2, where a and b are the lengths of the perpendicular sides and c is the length of the hypotenuse. Then solve for c

5 0
3 years ago
Find the equation of a line which passes through (2 4) with a slope of ½​
Norma-Jean [14]

Answer:

The equation of the straight line is  x - 2y +6 =0

Step-by-step explanation:

<u>Explanation:</u>-

Given a point ( 2, 4) and slope m =  \frac{1}{2}

The equation of the straight line passing through the point and having slope 'm'

          y - y₁ = m ( x - x₁)

           y - 4 = \frac{1}{2} ( x - 2)

          2( y -4) = ( x-2)

          2 y - 8 = x -2

          x - 2 y - 2 + 8 =0

          x - 2y + 6 =0

The equation of the straight line is  x - 2y +6 =0

4 0
3 years ago
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