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3 years ago

Perpendicular to y=2x+3 through (2, -3)

Mathematics

1 answer:

Reika [66]3 years ago

7 0

Hello!

To find the line perpendicular to the given line, y = 2x + 3, firstly, find the slope of the perpendicular line. To find it, use this format: -1/m, where m is the slope. It is also called the "negative reciprocal" of the slope of the given line.

Then, you substitute an ordered pair into a new slope-intercept equation (with the slope) and find the y-intercept.

-1/m when m = 2 → -1/2

y = -1/2x + b (substitute the given ordered pair)

-3 = -1/2(2) + b (simplify)

-3 = -1 + b (add 1 to both sides)

-2 = b | The y-intercept of the perpendicular equation is -2.

Therefore, the line perpendicular to the given equation, that also goes through the given ordered pair is y = -1/2x - 2.

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A man drops a ball from the top of a 300 foot cliff. The height of the falling ball is modeled

netineya [11]

Answer:

The ball reaches 44 ft above the ground after 4 sec.

Step-by-step explanation:

Set h(t)=-16t^2+300 equal to 44 feet and solve for time, t. Indicate exponentiation with " ^ "

-16t^2 + 300 = 44 becomes

-16t^2 + 256 = 0, or 16t^2 = 256. Then, taking the square root of both sides, we get:

4t = 16, or t = 4 sec. The ball reaches 44 ft above the ground after 4 sec.

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3 years ago

In the roof truss, line BG bisects ∠ABC and ∠DEF, m∠ABC= 112°, and ∠ABC≅∠DEF.

Dennis_Churaev [7]

In the given diagram, line BG bisects ∠ABC and ∠DEF, m∠ABC= 112°, and ∠ABC≅∠DEF. So the measure of angles are :

1. m∠DEF= 112° because ∠ABC≅∠DEF

2. m∠ABG= 56° because a straight line BG is bisecting ∠ABC in two equal parts. So, $\frac{112}{2} = 56$

3. m∠CBG= 56° because ∠ABG and ∠CBG are equal.

4. m∠DEG= 56° because ∠ABG ≅ ∠DEG

7 0

3 years ago

Read 2 more answers

I need help please!!!!!!

mash [69]

Answer:

Step-by-step explanation:

He went wrong when he did 16 + 3 first when he should have done 23 minus 16 which is 9. Then 9 plus 3 equals 12.

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3 years ago

403010Pa2 4 8 10Number of ticketsThe graph shows the cost of buying raffle tickets.19. write an equation shows the cost y in ter

Lana71 [14]

Simple..

you have y which is the cost of the tickets..and you have x which is the number of tickets..

So, you have those points on the graph....find an equation!

Take any of those coordinates..and find the equation of the line...in the form of y=mx+b

(2,10) and (5,25)

Using: $\frac{ y_{1}- y_{2} }{ x_{1}- x_{2} }$

$\frac{10-25}{2-5} = \frac{-15}{-3} =5$

Thus, you know your slope. m=5

But, remember it's in the form of y=mx+b

So, use any of the coordinates...let's use (2,10)

10=5(2)+b

10=10+b

0=b

Thus, your equation is... y=5x

Thus, your answer.

3 0

4 years ago

The ratio of collectible cards Kyle owns to cards that Zeona owns is 3:2. Zeona has 36 cards. How will the ratio of Kyle’s cards

blsea [12.9K]

Answer:

It wouldn't.

Step-by-step explanation:

With the ratio, since Zeona has 36 cards, Kyle must have 54. If they each sold half, Kyle would have 27 and Zeona would have 18. So, the ratio would still be 3:2.

4 0

3 years ago