What is the standard form of the following equation:

1.These two polygons are congruent. YX corresponds to _____

rosijanka [135]

1. These two polygons are congruent. YX corresponds to CD. The correct option among all the options that are given in the question is the first option or option "A".

"MP" is the one angle or side among the following choices given in the question that is common to TRIANGLE NPW and TRIANGLE OMP . The correct option among all the options that are given in the question is the second option or option "B".

7 0

3 years ago

Please help thanks !

Sergio039 [100]

Answer:

point slope form: y-3= $-\frac{3}5}$ (x+2)

slope-intercept form: y= $-\frac{3}{5}$ x+ $\frac{9}{5}$

Step-by-step explanation:

so to find point-slope form, you first have to find the slope of the line

--slope = $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$ = $\frac{0-3}{3+2} =-\frac{3}{5}$ (you have to use the two points shown: (-2,3) and (3,0) to plug in for y1, y2, x1, and x2 to find the slope.)

so your slope is $-\frac{3}{5}$ .

Now all you have to do is use one of the points (-2,3) to sub in for y1 and x1 in the point-slope form equation.

Therefore, you get y-3= $-\frac{3}{5}$ (x+2) for point-slope form.

Now for slope-intercept form, you already have the slope because you found it to complete the equation for point slope form

slope = $-\frac{3}{5}$

Now slope intercept form is y=mx+b, where m is the slope and b is the y-intercept.

So, far we have y= $-\frac{3}{5}$ x+b

the easiet point to use for the x and y values is (3,0)

so, lets substitute: 0= $-\frac{3}{5}$ (3)+b, which becomes 0= $-\frac{9}{5}$ +b

add $-\frac{9}{5}$ to both sides to get b= $\frac{9}{5}$

Now you have both the slope and the y-intercept so you can now write the line in slope-intercept form.

You get $y=-\frac{3}{5}x +\frac{9}{5}$ .

5 0

3 years ago

A person driving her car at 12.5 m/s approaches an intersection just as the traffic light turns yellow. She knows that the yello

Tems11 [23]

She should try to stop the car.

We will discuss the possibilities of trying to stop and trying to speed up in 2s and find the distance she travels to get into a conclusion.

If she try to stop, then the acceleration, a = -5.8 m/s²

Initial velocity, v₀ = 12.5 m/s

Final velocity, v₁ = 0 m/s [Since the car is stopped]

Let d be the distance the car travels before stopping.

Then, we have, v₁² = v₀² + 2ad

Therefore, d = v₁²-v₀²/2a

= 0-(12.5)²/2 x (-5.8)

= 156.25/11.6

= 13.47 m

So she can stop in time as she is 28m far from the beginning of the intersection.

If she try to speed up, then the acceleration of the car, a = 3.5 m/s²

Initial velocity of the car, v₀ = 12.5 m/s

Time she have, t = 2 s

Let d be the distance the car travels in 2 s.

Then, d = v₀t +(1/2)at²

= 12.5 x 2 + (1/2) x 3.5 x 2²

= 25 + 7

= 32 m

She is 28 m before the beginning of the intersection which is 15 m wide. So if she speed up she will be in the middle of the intersection when the light turns red and may have to stop.

Hence as a legal driver, she should try to stop the car.

Learn more about acceleration at brainly.com/question/605631

#SPJ1

8 0

1 year ago

Which number is irrational? 0.14¯¯¯¯ √6 √4 1/3

Rom4ik [11]

Hello :
√6 is irrational number

7 0

4 years ago

Read 2 more answers

3 less than the quotient of 18 and a number m in algebraic expression

SVETLANKA909090 [29]

Answer:

18/m - 3

Step-by-step explanation:

5 0

3 years ago