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vazorg [7]
3 years ago
15

What goes in the green box and what is 6 * 28 ​

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
7 0
6*28= 168
You put 168 in the green box
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X+y+2=-5 -2x-y+2=-1 x-2y-2=0 solve algebraically
Rina8888 [55]

Answer:

x+y+2=-5 -2x-y+2=-1 x-2y-2=0 solve algebraically

x+y+2=-5     equation 1

-2x-y+2=-1    equation 2

x-2y-2=0      equation 3

Add equation 1 + 2+ 3

x+y+2=-5 + -2x-y+2+1 + x-2y-2

x+y+2= -7+2+1-2x+x+y

x+y+2= -4-x+y

x+y+2+4+x-y= 0

2x+6= 0

2x= -6

divide both side by 2

x= -3

from equation 1 insert x

x+y+2=-5

since x=-3

then, -3+2+y= -5

-1+y= -5

y= -5+1

y= -4

Step-by-step explanation:

7 0
3 years ago
A truck weighing 150kN and travelling at 2m/sec impacts with a buffer
FrozenT [24]

The maximum compression of the spring is 0.276 m

Step-by-step explanation:

First of all, we calculate the spring  constant of the spring, by using Hooke's law:

F=kx

where

F = 10 kN = 10,000 N is the force applied

x = 1.25 cm = 0.0125 m is the corresponding compression of the spring

k is the spring constant

Solving for k,

k=\frac{F}{x}=\frac{10,000}{0.0125}=8\cdot 10^5 N/m

When the truck impacts with the spring, all the kinetic energy of the truck is converted into elastic potential energy of the spring, so we can write

\frac{1}{2}mv^2=\frac{1}{2}kx^2 (1)

where

m is the mass of the truck

v = 2 m/s is the initial speed of the truck

k=8\cdot 10^5 N/m is the spring constant

x is the compression of the spring

The mass of the truck can be found from its weight:

m=\frac{W}{g}=\frac{150,000 N}{9.81 N/kg}=15,290 kg

So now we can re-arrange eq.(1) to find the compression, x:

x=\sqrt{\frac{mv^2}{k}}=\sqrt{\frac{(15,290)(2)^2}{8\cdot 10^5}}=0.276 m

Learn more about kinetic energy:

brainly.com/question/6536722

#LearnwithBrainly

6 0
3 years ago
Write the expression in terms of sin x and cos x only. sin(2x)+cos(3x)
BartSMP [9]
Sin2x=2sinxcosx, cos2x=1-2sin^2x
sin(2x)+cos(3x)=2sinxcosx+cos(x+2x)
cos(x+2x)=cosx(1-2sin^2(x))-sinx2sinxcosx
sin(2x)+cos(3x)=2sinxcosx(1-sinx)+cosx(1-2sin^2(x))
5 0
3 years ago
Read 2 more answers
What does 3+5x6-1=? and ill mark as brainliest
inna [77]

Answer:

32

Step-by-step explanation:

3+30-1

33-1

32

6 0
3 years ago
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If c = 4, evaluate the following expression: <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bc%7D%20" id="TexFormula1" title=
mash [69]

Answer:

2 is the answer

Step-by-step

6 0
2 years ago
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