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Crazy boy [7]
3 years ago
5

A) Write the following in standard form and find A, B and C

Mathematics
1 answer:
alex41 [277]3 years ago
5 0

Answer:

  • a)  2x -y = -5; A=2, B=-1, C=-5
  • b)  y = 2x +5

Step-by-step explanation:

a) Standard Form is ...

  Ax + By = C

where A > 0 and A, B, C are mutually prime.

To get that form, we can add 2x-5 to both sides of the equation:

  (2x -5) -2x = (2x -5) -y +5

  -5 = 2x -y

Then we can swap sides of the equal sign:

  2x -y = -5 . . . . . . standard form

Matching this to the generic standard form equation, we find ...

  A = 2

  B = -1

  C = -5

__

b) We can solve for y by adding 2x+y to both sides of the equation:

  (2x +y) -2x = (2x +y) -y +5

  y = 2x +5 . . . . . . slope-intercept form

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tensa zangetsu [6.8K]

Answer: 16

Step-by-step explanation:

64.2=128

128/8=16 = High

16.2=32

32/2= 16

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3 0
3 years ago
The lengths of two sides of the isosceles triangle are the ratio of 6:5. The perimeter of the triangle is 32cm. What is the area
Degger [83]
Sorry I'm late! xx
Okay, so two of the sides in an isosceles triangle are of the same length. The lengths are either in the ratio 5:5:6 or 5:6:6
The perimeter is 32 cm

If we take the first ratio, 5:5:6, then we have 16 "parts". Let the length of each "part" be referred to as "x"
So, 16x = 32, and so x = 2

So, the ratio of the sides are 10 cm, 10 cm, 12 cm.

To find the height, "h", we need to use Pythagoras' Theorem, with 10 being the hypotenuse and 6 being the horizontal side (think of a line cutting straight down the middle of the isosceles triangle)
h^2 + 36 = 100
h = 8 cm

Area of a triangle is 0.5 x base x height. So, 0.5 x 12 x 8 = 48 cm^2

Hope I helped!! xx

5 0
3 years ago
Write the word sentence as an inequality.<br><br> A number x minus 1/4 is no more than -3/4
Umnica [9.8K]

Answer:

x-1/4 ≤-3/4

Step-by-step explanation:

A number x

x

minus 1/4

x-1/4

is no more than   (it cannot be greater than , but it can be equal to)

x-1/4 ≤

-3/4

x-1/4 ≤-3/4

6 0
3 years ago
In a choir, the ratio of boys to girls is 5 to 6. There are 10 boys in the choir.
Lina20 [59]

Answer:

Answer:

5:6 --> 10:12

Step-by-step explanation:

A good way to think of this is to provide a perspective: there are 5 boys every time there is 6 girls. So if there is 10 boys, that means there would be 12 girls (because 5 *2 = 10 and 6*2 = 12).

tl:dr: 5 *2 = 10 so 6*2 = 12

4 0
2 years ago
3. [6x - 2y=2.<br> (2 + 6x=y
Hunter-Best [27]

Answer:

3. [6x - 2y=2.

(2 + 6x=y

Step-by-step explanation:

4 0
3 years ago
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