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3 years ago

3/5x + 1/4y = -1/2 in standard form

Mathematics

1 answer:

Soloha48 [4]3 years ago

3 0

Answer:

$\large\boxed{12x+4y=-10}$

Step-by-step explanation:

The standard form:

$Ax+By=C$

A, B and C are the integer.

We have:

$\dfrac{3}{5}x+\dfrac{1}{4}y=-\dfrac{1}{2}$

Find the common denomintaor of given fractions.

We have 5, 4 and 2. The common denominator of 2, 4 and 5 is 20.

20 = 2 · 10 = 4 · 5 = 5 · 4

Thereofre multiply both sides by 20:

$20\!\!\!\!\!\diagup^4\cdot\dfrac{3}{5\!\!\!\!\diagup_1}x+20\!\!\!\!\!\diagup^4\cdot\dfrac{1}{4\!\!\!\!\diagup_1}y=20\!\!\!\!\!\diagup^{10}\cdot\left(-\dfrac{1}{2\!\!\!\!\diagup_1}\right)\\\\(4)(3x)+(5)(1y)=(10)(-1)\\\\12x+4y=-10$

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• 6x – 15y = 15 y=2 x - 1 5

yuradex [85]

Answer:

Slope=

2.000

0.800

=0.400

x−intercept=

2 /5

=2.50000

y−intercept=

−5 /5

−1

=−1.00000

Step-by-step explanation:

STEP

Pulling out like terms

1.1 Pull out like factors :

6x - 15y - 15 = 3 • (2x - 5y - 5)

Equation at the end of step

STEP

Equations which are never true

2.1 Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2 Solve 2x-5y-5 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x-5y-5 = 0 and calculate its properties

8 0

3 years ago

Find two numbers whose sum is 50 and whos difference is 22

pentagon [3]

Answer:

36 and 14

Step-by-step explanation:

Create an equation

x+x-22=50

Combine like terms

2x-22=50

Add 22 on both sides

2x=72

divide 72 by 2

x=36

subtract 22 from 36

14+36=50

Hope this helps! :P

5 0

3 years ago

Read 2 more answers

April has only consumed one glass of wine, so her body isn't affected by the alcohol because short-term effects only begin with

MrMuchimi

ANSWER: False

This is false because alcohol can have effect as soon as the first drink, depending on the type of person you are.

For example, if your parents drank, and you were born early (a preemie) this can affect your ability to drink.

Hope this helps! ^^

4 0

3 years ago

Read 2 more answers

DG¯¯¯¯¯¯ , EG¯¯¯¯¯ , and FG¯¯¯¯¯ are perpendicular bisectors of the sides of △ABC . DG=5 cm and BD=12 cm.

jonny [76]

Given that DG, EG, and FG are perpendicular bisectors of the sides of △ABC, this means that the point of intersection, G, is the circumcenter of the triangle and hence AG, BG, and CG are equal.

Given that DG = 5 cm and BD = 12 cm, then

$BG= \sqrt{DG^2+BD^2} \\ \\ = \sqrt{5^2+12^2} = \sqrt{25+144} \\ \\ = \sqrt{169} =13$

Since AG = BG = CG, therefore, CG = 13 cm.

3 0

3 years ago

I need help n explainnnn please

kobusy [5.1K]

The Correct option is D). y=1x+1 And y=2x+2

Step-by-step explanation:

The equation of a line is given as y=mx+c.

where m=slope of line and c=y intercept

The slope of line is given as m= $\frac{(Y2-Y1)}{(X2-X1)}$

Solving for Redline:

From the given graph, redline passes through (-1,0) and (0,1)

The slope of Redline is m= $\frac{(Y2-Y1)}{(X2-X1)}$

The slope of Redline is m= $\frac{(1-0)}{(0-(-1))}$

The slope of Redline is m=(1)

And Y-intercept is 1

The equation of a Redline is given as y=1x+1

Solving for Blue-line:

From the given graph, Blue-line passes through (-1,0) and (0,2)

The slope of Blue-line is m= $\frac{(Y2-Y1)}{(X2-X1)}$

The slope of Blue-line is m= $\frac{(2-0)}{(0-(-1))}$

The slope of Blue-line is m=(2)

And Y-intercept is 2

The equation of a Blue-line is given as y=2x+2

The Correct option is D). y=1x+1 And y=2x+2

7 0

3 years ago