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Nutka1998 [239]
3 years ago
11

use the slope formula to calculate the slope of the line that contains the two points (-4,0) and (5,2)​

Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

Answer:

\frac{2}{9} x

Step-by-step explanation:

To find slope using two points you need to find the difference in x and y. You use \frac{y_{2}-y_{1}}{x_{2}-x_{1} }

So, 2-0=2 and 5-(-4)=9. Therefore the slope is 2/9x

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Simplify completely quantity x squared plus 4 x minus 45 all over x squared plus 10 x plus 9 and find the restrictions on the va
dem82 [27]
(x² + 4x - 45)/(x² + 10x + 9) 
<span>
Numerator = N = x² + 4x - 45 </span>
= x² + 9x - 5x - 45 
= (x² + 9x) - (5x + 45) 
= x(x + 9) - 5(x + 9) 
= (x + 9)(x - 5) 
<span>
Denominator = D = x² + 10x + 9 </span>
= x² + x + 9x + 9 
= (x² + x) + (9x + 9) 
= x(x + 1) + 9(x + 1) 
= (x + 1)(x + 9) 
<span>
Hence, the given expr. = N/D </span>
= {(x + 9)(x - 5)}/{(x + 1)(x + 9) 
= (x - 5)/(x + 1) 
<span>
Restrictions : x ≠ - 1, x = 5 </span>


I hope my answer has come to your help. Thank you for posting your question here in Brainly.
7 0
4 years ago
Read 2 more answers
Part A: Factor 2x2c2 + 3xc2 − 35c2. Show your work. (4 points)
Debora [2.8K]

Answer:

a: 12

B: 5  

c: 15

Step-by-step explanation: because you have to multiply and divide but i might have the wrong answerr :((((


3 0
3 years ago
A rare form of malignant tumor occurs in 11 children in a​ million, so its probability is 0.000011. Four cases of this tumor occ
Shkiper50 [21]

Answer:

a) The mean number of cases is 0.14608 cases.

b) The probability that the number of cases is exactly 0 or 1 is 0.990.

c) The probability of more than one case is 0.010

d) No, because the probability of more than one case is very small

Step-by-step explanation:

We can model this problem with a Poisson distribution, with parameter:

\lambda=r*t=0.000011*13,280=0.14608

a) The mean amount of cases is equal to the parameter λ=0.14608.

b) The probability of having 0 or 1 cases is:

P(k=0)=\frac{\lambda^0 e^{-\lambda}}{0!}=\frac{1*0.864}{1} =0.864\\\\ P(k=1)=\frac{\lambda^1 e^{-\lambda}}{0!}=\frac{0.14608*0.864}{1} =0.126\\\\P(k\leq1)=0.864+0.126=0.990

c) The probability of more than one case is:

P(k>1)=1-P(k\leq 1)=1-0.990=0.010

d) The cluster of 4 cases can not be due to pure chance, as it is a very high proportion of cases according to the average rate. Just having more than one case has a probability of 1%.

7 0
3 years ago
PLEASE ANSWER 25 POINTS
marusya05 [52]
Volume=[(4πr^3)/3]/2=[(4π(70)^3)/3]/2 is approximately 718378 ft^3

3 0
4 years ago
I NEED HELP PLEASE. THANK YOU
vova2212 [387]

Answer:

Given

Distributive property

Subtraction property of equality

Simplify

Subtraction property of equality

Simplify

Division property of equality

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Step-by-step explanation:

If you want an explanation I would be happy to provide you with one, but I do not want to have to explain the entire thing right here because it would be really long.

7 0
3 years ago
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