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3 years ago

Please help this isn't my best subject

Mathematics

1 answer:

VLD [36.1K]3 years ago

8 0

Answer:

152 degrees

Step-by-step explanation:

CF is a straight line, which means it equals 180 degrees. But FXE is an angle of 28 degrees so you subtract 180 from 28 to get 152 degrees.

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If a + b + c.= 5 and ab + bc +ca = 10 , then prove that a3+ b3+ c3-3abc = -25

Alex Ar [27]

Start with

$(a+b+c)^3=a^3+b^3+c^3+3(a^2b+a^2c+ab^2+ac^2+b^2c+bc^2)+6abc$

Given that $a+b+c=5$ , we know $(a+b+c)^3=125$ .

Also, $ab+bc+ca=10$ , so

$a^2b+a^2c+ab^2+ac^2+b^2c+bc^2=a(ab+ac)+b(ab+bc)+c(ac+bc)$

$=a(10-bc)+b(10-ca)+c(10-ab)$

$=10(a+b+c)-3abc$

$=50-3abc$

So we have

$125=a^3+b^3+c^3+3(50-3abc)+6abc$

$125=a^3+b^3+c^3+150-9abc+6abc$

$\implies -25=a^3+b^3+c^3-3abc$

QED

3 0

3 years ago

Which number line shows the solution set for 1-3 352

Andrej [43]

-4

Step-by-step explanation:

-4 show the number of wveryshaoaknd

8 0

3 years ago

320 students are going on a field trip 60 per bus how many buses should be ordered

EastWind [94]

Answer:

Step-by-step explanation:

320:60 you have to find the multiples I am not going to give you the full answer that is cheating

7 0

3 years ago

Rocky thinks of an odd integer adds the next two consecutive integer which of these could be the sum

tekilochka [14]

Answer:

Step-by-step explanation:

1. Let x be the odd integer. Let y be the sum.

x + (x + 1) + (x + 2) = y

3x + 3 = y

Adding two consecutive integers to an odd integer will result in an even integer.

So, you can eliminate choices B and D since they are odd.

Lastly, plug in choices A and C for y and choose the answer that makes x an integer.

Choice C would give you the correct result.

3x + 3 = 44562

3x = 44559

x = 14853

5 0

3 years ago

How would I find the Max/min of this function f(x) = 2x squared +18x +16

slamgirl [31]

F(x)=2x²+18x+16
1) we have to calculate the first derived.

f´(x)=4x+18

2) Now, we equalize the first derived to "0" and find out the value of "x"
4x+18=0
4x=-18
x=-18/4=-4.5

3)we calculate the second derived
f´´(x)=4>0 ⇒we have a minimum at x=-4.5

4) Now we calculate the value of "y".
f(-4.5)=2(-4.5)²+18(-4.5)+16=40.5-81+16=-24.5

Therefore; Exist a minimum at (-4.5 , -24.5)

7 0

3 years ago