9514 1404 393
Answer:
32.8 m/s
Step-by-step explanation:
The function is actually ...
Filling in the given values, the velocity is about ...
The velocity at the end of the free-fall is about 32.8 meters per second.
Answer:
1,728cm square
Step-by-step explanation:
Surface area=sum of all faces of a polygon
Let's do the biggest ones: 32•20=640
32•16=512
Now the rest:
12•32=384
16•12=192 192÷2=96
16•12=192 192÷2=96
Now add it all up: 640+512+384+96+96=1,728cm square
The polynomial within the numerator is 9x²+45x+54.
Given the denominator of the initial expression is 
and also the rational expression simplifies to three.
A mathematical expression which will be rewritten to a rational fraction, an algebraic fraction specified both the numerator and therefore the denominator are polynomials. and a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Let's take the polynomial within the numerator is k.
So, rewrite the given expression as
or it also can be written as
Cross multiply either side as a×d=b×c where a=k, b=3x²+15x+18, c=3 and d=1 and acquire
k=3(3x²+15x+18)
Simplify the above expression,
k=9x²+45x+54
Hence, the polynomial within the numerator within the given expression which is simplified to 3 is 9x²+45x+54.
Learn about rational expression from here brainly.com/question/3764404
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You are asked to do this problem by graphing, which would be hard to do over the Internet unless you can do your drawing on paper and share the resulting image by uploading it to Brainly.
If this were homework or a test, you'd get full credit only if you follow the directions given.
If <span>The points(0,2) and (4,-10) lie on the same line, their slope is m = (2+10)/(-4), or m =-3. Thus, the equation of this line is y-2 = -3x, or y = -3x + 2.
If </span><span>points (-5,-3) and (2,11) lie on another line, the slope of this line is:
m = 14/7 = 2. Thus, the equation of the line is y-11 = 2(x-2), or y = 11+2x -4, or y = 2x + 7.
Where do the 2 lines intersect? Set the 2 equations equal to one another and solve for x:
</span>y = -3x + 2 = y = 2x + 7. Then 5x = 5, and x=1.
Subst. 1 for x in y = 2x + 7, we get y = 2(1) + 7 = 9.
That results in the point of intersection (2,9).
Doing this problem by graphing, on a calculator, produces a different result: (-1,5), which matches D.
I'd suggest you find and graph both lines yourself to verify this. If you want, see whether you can find the mistake in my calculations.
P = how many cars Peter has
j = how many cars Jade has
a = how many cars Andre has
p x 4 = how many cars Andre has (36 model cars)
>>>TO FIND HOW MANY MODEL CARS PETER HAS:
p x 4 = 36
36 / 4 = 9
your equation to find how many model cars Peter has is:
36 / 4 = 9
So, Peter has 9 model cars.
>>>TO FIND HOW MANY MODEL CARS JADE HAS:
36 / 4 = how many cars Peter has (9)
Now, you are given the info that Jade has THREE TIMES (3x) as many cars as Peter already.
So, your equation for this one is:
9 x 3 = 27
So Jade has 27 model cars.
---- Jade has 27 model cars.
---- Andre has 36 model cars.
---- Peter has 9 model cars.
equation for a. 36 / 4 = p
equation for b. 9 x 3 = j
