All categories

3 years ago

This table gives a few (x,y) pairs of a line in the coordinate plane

Mathematics

1 answer:

Troyanec [42]3 years ago

6 0

Answer:

y intercept is -23

Step-by-step explanation:

Here we are given three coordinates and are asked to find y intercept of the line passing through these points.

We thus find the equation of this line by two point form

the form says

(y-y1)/(x-x1) = (y2-y1)/(x2-x1)

Here (x1,y1) = ( -36 , 1 )

and (x2,y2) = ( 13,-54)

Substituting the values we get

(y-1)(x+36)=(1-13)/(-36-(-54))

(y-1)(x+36)=(-12)/(-36+54)

(y-1)(x+36)=(-12)/(18)

y-1=-2/3 ( x+36)

In order to determine the y intercept we are required to leep x = 0 in above equation and solve for y

y-1 = -2/3 (0+36 )

y-1= (-2/3) x (36 )

y-1 = -2 x 12

y-1 = -24

adding 1 on both hand sides

y = -24 +1

y=-23

You might be interested in

Wang Min is from Boston, where the cost of living is higher than it is in San Francisco. Wang Min's parents are discouraging her

Scrat [10]

Answer:

what is the question

Step-by-step explanation:

7 0

3 years ago

determine the diameter to the nearest inch of a large can of tuna that has a volume 6068 inches and a height of 3.3 inches

anyanavicka [17]

Answer:

The diameter of can is 48 inches.

Step-by-step explanation:

Given:

Volume of can = 6068 inches.

And height(h) = 3.3 inches.

Now, to find the diameter.

Diameter = 2 × radius

Let radius be $r.$

So, by putting the formula of volume we get the radius:

$Volume =\pi r^2h$

$6068=3.14\times r^2\times 3.3$ (taking the value of π=3.14)

$6068=10.362\times r^2$

Dividing both sides by 10.362 we get:

$585.60=r^2$

Using square root on both sides we get:

$24.199=r$

Radius = 24.199 inches.

Then, we get the diameter:

Diameter = 2 × radius

Diameter = 2 × 24.199 = 48.398 inches.

Diameter = 48 inches (rounding to nearest, inch as in the place of tenth it is 3 which is less than 5.)

Therefore, the diameter of can is 48 inches.

7 0

3 years ago

HELP PLS ANSWER ASAP DUE TOMARROW

damaskus [11]

Answer:

they need to sell 15,000 because 42 percent of 15,00 is 6,300+2500=800

the inequality should be. 2500+0.42s≥8,800

and the number line should have a closed point on 15,000 with the line pointing to the right

6 0

3 years ago

How many triangles can be drawn with one 90° angle ,a 70° angle, and an included side measuring 3 inches?explain

gogolik [260]

Answer:

Step-by-step explanation:

once we know 2 of the angles we can find a third. once we have all 3 angles we only need one side length to tell us how big it is.

Bonus question: How many triangles can be drawn with one 3 inch side ,a 4 inch side, and a 20ºangle?

7 0

3 years ago

Distance between parallel lines y=3x+10 and y=3x-20

Alecsey [184]

1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).

2. Use formula $d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}$ to find the distance from point $(x_0,y_0)$ to the line Ax+By+C=0.

The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:

$d=\dfrac{|3\cdot 0-10-20|}{\sqrt{3^2+(-1)^2}}=\dfrac{30}{\sqrt{10}}=3\sqrt{10}$ .

3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.

Answer: $d=3\sqrt{10}$ .

4 0

3 years ago