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Mademuasel [1]
3 years ago
11

Calculate the slope of the line that goes through the ordered pairs (0, -7), and (-2,-27).

Mathematics
1 answer:
Aleks04 [339]3 years ago
3 0

Answer:

10

Step-by-step explanation:

To find the slope subtract the points like the following:

(-27-(-7)/(-2-0)

= -20/-2

=10

So, the slope is 10.

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1+4=5<br> 2+5=12<br> 3+6=21<br> 8+11=?
MariettaO [177]
Oh, I SEE what da pattern is! =D
You see, like in this problem:
2 + 5 = 12
They did 5 times 2 = 10, plus da 2 in da problem = 12.
Same with 3 + 6 = 21, 6 times 3 = 18, 18 plus da 3 given in da problem = 21.
Just like 1 + 4 = 5, 4 times 1 = 4, plus da 1 in da problem = 5.
SO,
with that strategy, 8 +11 = 96, because 8 times 11 = 88, plus da 8 given in da problem = 96.
I hope I helped! =D
6 0
3 years ago
This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex
noname [10]

L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)

L_x=10+10\lambda x=0\implies1+\lambda x=0

L_y=10+10\lambda y=0\implies1+\lambda y=0

L_z=2+4\lambda z=0\implies1+2\lambda z=0

L_\lambda=5x^2+5y^2+2z^2-42=0

\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z

5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1

z^2=1\implies z=\pm1\implies x=y=\pm2

There are two critical points, at which we have

f\left(2,2,1\right)=42\text{ (a maximum value)}

f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}

3 0
3 years ago
What does pi r 2 mean
Neporo4naja [7]
Pi r² is circle's area expression.
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8 0
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19 + 12k = –k − 20 solve for k
marshall27 [118]

Answer:

k=13

Step-by-step explanation:

19 + 12k = –k − 20

19+20=39=13k

k=13

8 0
3 years ago
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The ratio of girls to boys in a class is 3:2. There are 25 students in this class. How many are girls and how many are boys?
IrinaK [193]
10 boys and 15 girls
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