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2 years ago

Which ordered pair is a solution of the equation -3+5y=2x+3y ?

Mathematics

1 answer:

Oksana_A [137]2 years ago

8 0

Answer: x = y + −3/2

Step-by-step explanation:

Let's solve for x.

−3+5y=2x+3y

Step 1: Flip the equation.

2x+3y=5y−3

Step 2: Add -3y to both sides.

2x+3y+−3y=5y−3+−3y

2x=2y−3

Step 3: Divide both sides by 2.

2x/2 = 2y - 3/2

ANSWER: x = y + -3/2

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Suppose you start with a full tank of gas (14 gallons) in your truck. After driving 4 hours, you now have 2

Alex73 [517]

Answer:

a) -3 gallons per hour

b) y = -3x +14

Step-by-step explanation:

Rate of change is computed by dividing the amount of change by the interval over which it occurred.

Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.

The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...

y = -3x +14 . . . . gas in the tank after x hours

4 0

2 years ago

Find the coordinates of point P on →AB that partitions the segment into the given ratio AP to PB .

marysya [2.9K]

The line segment AB is divided at point P, which has coordinates P(0,-7.5)

A line segment is a section of a line that connects two locations to create a straight line or we can say that is connects two distinct points together to form a single line. It is extendable to either side.

Given are,

A line segment AB with coordinates of A(0,0 ) and B(-15,0) respectively

Two minor line segments, AP and PB, are created from the line segment AB by the provided point P

We must determine the dividing point's coordinates, or P.

We'll apply the formula provided,

The coordinates of the point P are given by = ( $\frac{x1+x2}{2}$ , $\frac{y1+y2}{2}$ )

Now, x1 = 0, x2 = 0, y1 = -15, y2 = 0

Putting values in the formula, we get

( $\frac{0+0}{2}$ , $\frac{0-15}{2}$ )

(0,-7.5)

Hence, the point P which partitions the line segment AB have coordinates as P(0,-7.5)

To learn more about Line Segment, here

brainly.com/question/25727583

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6 0

1 year ago

b is the midpoint of AC and E is the midpoint of BD if A(-9,-4) C(-1,6) and E(-4,-3) find the coirdinates of D

natima [27]

To find the coordinate of the point D, we can use the Midpoint point of a line Segment formula. Calculation of the formula are as follows,

Given two points A(x1,y1) and C(x2,y2), we need to locate the midpoint coordinate of this line denoted as B(x,y).

To solve for the value of x and y, we get,

x=(x1+x2)/2 and y=(y1+y2)/2

For the given problem, we need to solve first the midpoint coordinate of AC which is B.

So, A(-9,-4)=A(x1,y1) and C(-1,6)=C(x2,y2)

Hence,

B(x,y)=B((-9+(-1))/2, (-4+6)/2)=B(-10/2,2/2)=B(-5,1)

Now, since the midpoint is given but one point in the line is missing. To solve for the missing point D(x2,y2), we need to use the Midpoint Segment Formula.

That is, B(-5,1)=B(x,y) and E(-4,-3)=E(x1,y1)

So,

x=(x1+x2)/2 and y=(y1+y2)/2

-5=(-4+x2)/2 and 1=(-3+y2)/2

By Cross Multiplication and Transposing method,

-5(2)=-4+x2 and 1(2)=-3+y2

x2=-10+4=-6 and y2=3+2=5

Thus, the coordinate of D is D(-6,5).

5 0

3 years ago

Nevio mixed \dfrac5{8}\text{ L} 8 5 Lstart fraction, 5, divided by, 8, end fraction, start text, space, L, end text of water w

kkurt [141]

Answer:

Not clear what you're trying to say. Maybe try and clear it up a bit?

Step-by-step explanation:

6 0

2 years ago

Is the Point on the Line?

kumpel [21]

Answer:

yes.

Step-by-step explanation:

The eqation of the line is y=1/2x+3 so when we plug in x as 20 y is equal to 13

5 0

3 years ago

Read 2 more answers