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Kisachek [45]
3 years ago
14

Standard form of a linear equation -2x+3=4y

Mathematics
1 answer:
zhuklara [117]3 years ago
3 0

Answer:

y=-1/2x+3/4

Step-by-step explanation:

just divide the entire equation by 4, so that y is isolated.

The standard form equation of a line is y=mx+b

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Could anyone help me with this? Thanks
NeTakaya

Answer:

M: (2,-2)

N: (1,2)

O: (2,-4)

P: (5, -2)

Step-by-step explanation:

What you would do is find out where the two lines intercross. The 2 right quadrants are positive. The two left are negative. Count the lines and figure out the ordered pair. X is left and right, y is up and down. For example, if you were given a ordered pair, (4,-2) you would go up four, and left 2.

7 0
2 years ago
Brainliest for the correct answer!
liraira [26]

Answer:

y-3 = (1/4)x; 4y = -4x +14; y=4

Step-by-step explanation:

>First find the equation of function A

general equation of a line is y=mx+b

m = (y2-y1)/(x2-x1)= (0-(7/2))/(-7-0) = (-7/2) *(1/-7)  = 1/2

consider the point (-7,0)

0 = -7(1/2) +b

7/2 = b

Function A has the equation y= (1/2)x +7/2

>rewrite the equations to fit the standard form

y-3 = (1/4)x ; add 3 to both sides

y= (1/4) x +3

4y = -4x +14 ,divide by 4 both sides

y= -x + 7/2

y=4

> intercept less than A

y-intercept for function A , y= (1/2)x +7/2, is  7/2 =3.5

y-intercept for function y= (1/4) x +3 is 3

3  < 7/2, so the answer is y-3 = (1/4)x

> intercept equal to A

y-intercept for function A , y= (1/2)x +7/2, is  7/2

y-intercept for function y= -x + 7/2 is 7/2

7/2=7/2 , so the answer is 4y = -4x +14

> intercept greater than A

y-intercept for function A , y= (1/2)x +7/2, is  7/2 =3.5

y-intercept for function y=4 is 4

4 > 7/2

6 0
2 years ago
What is the area of the triangle?
ArbitrLikvidat [17]

9514 1404 393

Answer:

  7 square units

Step-by-step explanation:

There are several ways the area of triangle EBD can be found.

  • find the lengths EB, BD, DE and use Heron's formula (messy due to roots of roots being involved).
  • define point G at the lower left corner and subtract the areas of ∆DEG and BCD from trapezoid BCGE.
  • figure the area from the coordinates of the vertices.
  • use Pick's theorem and count the dots.

We choose the latter.

__

Pick's theorem says the area of a polygon can be found as ...

  A = i + b/2 -1

where i is the number of grid intersection points interior to the polygon, b is the number of grid points intersected by the border.

The attached figure shows the lines EB, BD, and DE intersect one point in addition to the vertices. So, b=4. A count of the red dots reveals 6 interior points (i=6). So, the area is ...

  A = 6 + (4/2) -1 = 7

The area of ∆EBD is 7 square units.

4 0
2 years ago
In the rolling of two fair dice calculate the following: P(Sum of the two dice is 7) = ______
vesna_86 [32]

Answer:

P(Sum of the two dice is 7) = 6/36

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

A fair dice can have any value between 1 and 6 with equal probability. There are two fair dices, so we have the following possible outcomes.

Possible outcomes

(first rolling, second rolling)

(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)

(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)

(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)

(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)

(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)

(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

There are 36 possible outcomes.

Desired outcomes

Sum is 7, so

(1,6), (6,1), (5,2), (2,5), (3,4), (4,3).

There are 6 desired outcomes, that is, the number of outcomes in which the sum of the two dice is 7.

Answer

P(Sum of the two dice is 7) = 6/36

7 0
3 years ago
6. Nicole deposits $2,136 in a såvings account paying 5% interest rate. To the
ValentinkaMS [17]

Answer: $3,166

Step-by-step explanation:

8 0
2 years ago
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