What is the length of each leg of the triangle below?

Mathematics

2 answers:

Sergio039 [100]3 years ago

4 0

I have included the answer and work in the picture attached below (the side length for the bottom leg is cut off, but it is 16 sqrt(2)):

SIZIF [17.4K]3 years ago

3 0

Answer:

16 square root of 2

Step-by-step explanation:

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5x-4y=-18 what is the three point on a graph for this equation

Tju [1.3M]

(1)Draw the "y" line . It goes up and down.
Make sure to mark the centimeters or quarter inches with little nobs. 
Start at -20 and go to 10 
(2)Draw the "x" line. it goes side to side. 
place the x line at the zero point of the y line. I'm sure you will see your paper looks like the letter "t". Perfectly at a right angle. you could use the corner of a book to square it. 

Now for the maths 5x - 4y = -18. The most important symbol here is the "=" sign. 
(3) rearrange the equation so that y is on one side of "=" and x is on the other side. 
Remember if you add 10 to one side the of "=" , then for it to be equal, add 10 to the other. side also 
so add 4y to both sides. add 18 to both sides . divide the whole of each side by 4. 
5x - 4y + 4y + 18 = -18 + 4y + 18 
1.25x + 4.5 = y 
(4) now write down on a peace of scrap paper, x=1, y= 5.75, x=2 y= ___ , x=3 y= ___ 
(5) remember BEDMAS, and put 1 in the place of x and calculate what y is . 
(6) get your ruler , line up x = 1 (ruler is going up and down) and draw a spot on what y = . Get two rulers if you must. 
(7) 
hey presto, you got your three points on a graph.

5 0

3 years ago

A tub filled with 50 quarts of water empties at a rate of 2.5 quarts per minute. let w = quarts of water left in the tub and t =

Sholpan [36]

This is a linear relationship. The slope-intercept form of the linear equation is:

$y=mx+c$

Where,

m is the rate of change (positive if increasing rate and negative if decreasing rate)
c is the y intercept, or the initial value

Rate of change is 2.5 quarts per minute (it is decreasing so m is -2.5)

Initial value is 50 quarts, so c is 50.

Plugging in the values we get $y=-2.5x+50$ .

Changing variables to w instead of y and t instead of x, gives us,

$w=50-2.5t$ . Where w is warts of water left in the tub and t is the time in minutes.

There is no viable solution when t=30 because at t=20, w=0 ( $0=50-2.5(20)$ ). It means after 20 minutes, there is no water left. So t=30 minutes doesn't make sense.