All categories

3 years ago

What is the equation parallel to 3x+2y=8 that goes through the point 2, -4

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

Answer:

The equation of the line would be y = -3/2x - 1

Step-by-step explanation:

In order to find this, we first need to find the slope of the original line. We do this by solving for y.

3x + 2y = 8

2y = -3x + 8

y = -3/2x + 4

Since we know parallel lines have the same slope, we know our new line has a slope of -3/2. We can now use that along with the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - -4 = -3/2(x - 2)

y + 4 = -3/2x + 3

y = -3/2x - 1

You might be interested in

A new library, L, is to be built at some point along a straight road, R, such that its distance from train station, T, is the sh

andreyandreev [35.5K]

Answer:

Coordinates of the new library is (150, 70)

Step-by-step explanation:

To get the shortest possible distance means that line from point T to point R has to be perpendicular.

Now, the equation of R is given as;

y = x - 80 - - - (1)

For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.

Thus, slope of T is -1/1 = - 1

Thus, using line - slope intercept of y = mx + c, we can find equation of T as;

140 = -1(80) + c

140 = -80 + c

c = 140 + 80

c = 220

Thus, equation is;

y = -x + 220 - - - (eq 2)

Adding equation 1 to equation 2,we have;

y + y = 220 - 80

2y = 140

y = 140/2

y = 70

Putting 70 for y in eq 1 gives;

70 = x - 80

x = 70 + 80

x = 150

Thus;

Coordinate of the new library is (150, 70)

8 0

3 years ago

Solve the equation.<br><br>-4 (y - 2) = 12<br><br>y = ?

inna [77]

First you distribute what’s outside the parentheses (the -4)

-4•4= -4y
-4•-2= 8

New equation: -4y+8=12

Now you solve like a normal equation
12-8 is 4

New equation: -4y=4

Now divide

Answer:-1

8 0

2 years ago

Find all the missing sides and angles of this triangle,

iren2701 [21]

Answer:

See solutions below

Step-by-step explanation:

From the given diagram;

AC = opposite

AB = 7 = hypotenuse

Angle of elevation = 70 degrees

Using SOH CAH TOA

Sin theta = opp/hyp

Sin theta = AC/AB

Sin 70 = AC/7

AC = 7sin70

AC = 7(0.9397)

AC = 6.58

Similarly

tan 70 = AC/BC

tan 70 = 6.58/BC

BC = 6.58/tan70

BC = 6.58/2.7475

BC = 2.39

tan m<A = BC/AC

tanm<A = 2.39/6.58

tan m<A = 0.3632

m<A = 19.96degrees

8 0

2 years ago

How to find area? will give..

ch4aika [34]

Answer:

Step-by-step explanation:

A=πr2

Circumference = 2πr

20π = 2πr

r=10

π=3.14

A=3.14 * 10^2

=314 cm^2

3 0

3 years ago

Indigo Depot is having a clearance sale of their fall items. A jacket that originally cost $120 before any discount is on sale f

Sauron [17]

Answer:

The final price is $66.

Step-by-step explanation:

This question can be solved by a rule of three.

The initial price was of $120.

Initially, there was a discount of 15%. Then, there is another discount on the initial price. So the total discount is of 15+30 = 45%.

So the final price will be 100-45 = 55% = 0.55 of the initial price.

$120 - 1

x - 0.55

$x = 0.55*120 = 66$

The final price is $66.

5 0

3 years ago