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11Alexandr11 [23.1K]
3 years ago
14

What is 9(3y+2z) as a equivalent expression

Mathematics
2 answers:
sattari [20]3 years ago
5 0
27y+18z ABCDEFGHIJKLMNO (ignore that random letter lol)
adoni [48]3 years ago
3 0

Answer:

27y + 18z

Step-by-step explanation:

9(3y+2z)

Distribute the 9

9 * 3y + 9* 2z

27y + 18z

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An object is propelled upward from the top of a 300 foot building. The path that the object takes as it falls to the ground can
serg [7]

Answer:

As per the statement:

The path that the object takes as it falls to the ground can be modeled by:

h =-16t^2 + 80t + 300

where

h is the height of the objects and

t is the time (in seconds)

At t = 0 , h = 300 ft

When the objects hit the ground, h = 0

then;

-16t^2+80t+300=0

For a quadratic equation: ax^2+bx+c=0         ......[1]

the solution for the equation is given by:

x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}

On comparing the given equation with [1] we have;  

a = -16 ,b = 80 and c = 300

then;

t= \frac{-80\pm \sqrt{(80)^2-4(-16)(300)}}{2(-16)}

t= \frac{-80\pm \sqrt{6400+19200}}{-32}

t= \frac{-80\pm \sqrt{25600}}{-32}  

Simplify:

t = -\frac{5}{2} = -2.5 sec and t = \frac{15}{2} = 7.5 sec

Time can't be in negative;

therefore, the time it took the object to hit the ground is 7.5 sec

8 0
4 years ago
How do you rewrite y-3=4(x-5) turn into Slope Intercept Form
marissa [1.9K]

Answer:

20

Step-by-step explanation:

cause when you do 3=4 equals 4 then multiply 5 then you have 20

6 0
4 years ago
Tom, Sam and Matt are counting drum beats.
umka2103 [35]

Answer: 40\ beats

Step-by-step explanation:

Knowing the information provided in the exercise, you need to find the Least Common Multiple (L.C.M) in order to solve it.

You can follow these steps:

1- You must descompose 2, 5 and 8 into their prime factors:

2=2\\5=5\\8=2*2*2=2^3

2- And finally, you must multiply the commons and non commons with the highest exponent:

L.C.M=2^3*5=40

Therefore, the answer is: 40\ beats

4 0
3 years ago
Plot the image of D under a dilation about the origin (0,0) with a scale factor of 2
ElenaW [278]

(-6,-4)

If you dilate a point, (c,d) about (a,b) by a scale factor by k. You'll going to subtract each coordinates where the point will be dilated about (a,b) from the point (c,d) and then multiply them by k. This would be the formula if you want: (k(c -a), k(b -d))

Let's say F is the dilation of D about the origin or (0,0) then the x coordinate of F would be

x =  2( - 3 - 0) \\ x = 2( - 3) \\ x =  - 6

This would be the y coordinate of F:

y = 2( - 2 - 0) \\ y = 2( - 2) \\ y =  - 4

Thus the coordinates of F is (-6,-4)

4 0
3 years ago
Which expression is equivalent to 63 + 27?
azamat
The answer would be B.
5 0
3 years ago
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