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Nastasia [14]
3 years ago
10

Write the standard form of the equation of

Mathematics
1 answer:
Vikki [24]3 years ago
4 0

Answer:

5y +3x=  25

3y -2x= - 12

Step-by-step explanation:

An equation in standard form is:

Ax + By = c\\

Solving (a):

Given

m = -\frac{3}{5} --- slope

b = 5 --- y intercept

Required: Determine the equation

An equation has the form:

y = mx + b

Substitute values for m and b

y = -\frac{3}{5}x + 5

Multiply through by 5

5y = -3x + 25

Add  3x to both sides

5y +3x= 3x-3x + 25

5y +3x=  25

Solving (b):

Given

m = \frac{2}{3} --- slope

b = -4 --- y intercept

Required: Determine the equation

An equation has the form:

y = mx + b

Substitute values for m and b

y = \frac{2}{3}x -4

Multiply through by 3

3 * y = (\frac{2}{3}x -4) * 3

3y = 2x - 12

Subtract 2x from both sides

3y -2x= -2x+2x - 12

3y -2x= - 12

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7 0
3 years ago
(Factorize): 10- 10-1-3​
Wittaler [7]

Answer:

=−4

Step-by-step explanation:

10−10−1−3

=0−1−3

=−1−3

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7 0
2 years ago
Can anybody help me plzz​
Fittoniya [83]

Answer:

  1 : 12 : 4

Step-by-step explanation:

Let A, G, C represent the ages of Alex, George, and Carl, respectively. We are told that ...

  A = G +12

  C = 3A . . . . . . . we read this as "3 times as old"; not "3 times older"

  A + G + C = 68

Substituting for G and C, we have ...

  A + (A -12) +(3A) = 68

  5A = 80 . . . . . add 12

  A = 16 . . . . . . . divide by 5

The other ages are then ...

  G = A-12 = 16 -12 = 4

  C = 3A = 3·16 = 48

The ratios are ...

  G : C : A = 4 : 48 : 16

  G : C : A = 1 : 12 : 4

7 0
3 years ago
Help I am very bad at math I need answers by tomorrow if you can help please do​
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

(a - b)(a +b) = a² - b²

1 - Sin² A = Cos² A

LHS = \frac{1}{1- Sin A} + \frac{1}{1 + Sin A}\\\\= \frac{1*(1 + Sin A)}{(1- Sin A)(1 + Sin A)} + \frac{1*(1- Sin A)}{(1 + Sin A)(1- Sin A)}\\\\= \frac{1 + Sin A+ 1 - Sin A}{1^{2}-  Sin^{2} A}\\\\= \frac{2}{1 - Sin^{2} A}\\\\= \frac{2}{Cos^{2} A}\\\\= 2 Sec^{2} A

2)  Sec² A - Tan² A = 1

LHS = \frac{1}{Sec A - Tan A}\\\\=\frac{1*(Sec A + Tan A)}{(Sec A -  Tan A)(Sec A + Tan A)}\\\\=\frac{Sec A + Tan A}{Sec^{2} A - Tan^{2} A}\\\\=\frac{Sec A + Tan A }{1}\\\\= Sec A + Tan A = RHS\\\\\\

3) LHS  = Cosec² A + Cot² A

             = Cosec² A +  Cosec² A - 1

            = 2Cosec² A - 1   = RHS

4) LHS = \frac{Sec A}{Cos A}- \frac{Tan A}{Cot A}\\\\          = Sec A*\frac{1}{Cos A}-Tan A*\frac{1}{Cot A}\\\\ = Sec A * Sec A - Tan A * Tan A\\\\= Sec^{2} A - Tan^{2} A \\\\= 1

3 0
3 years ago
One-sixth + StartRoot 6 =
Nataliya [291]

Answer: 2.62

Step-by-step explanation: 1/6+√6= 2.62

change 1/6 into a decimal by dividing 1 by 6 you get 0.16 with 6 repeating then find the square root of 6 which is 2.44948974... that's rounded to 2.45 then 2.45+0.16 repeating the 6, then simplify to get 2.62.

hope i helped!

4 0
3 years ago
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