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uysha [10]
3 years ago
10

A line contains the points (10,7) and (5,-8). Write the equation of the line.

Mathematics
1 answer:
kobusy [5.1K]3 years ago
3 0
Y=3x-23
.
Hope this helps :)
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Solve 3x^2=-12-6x by completing the square​
Lelu [443]

Answer:

x = - 1 ± i \sqrt{3}

Step-by-step explanation:

Given

3x² = - 12 - 6x ( add 6x to both sides )

3x² + 6x = - 12 ( divide through by 3 )

x² + 2x = - 4

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = - 4 + 1

(x + 1)² = - 3 ( take the square root of both sides )

x + 1 = ± \sqrt{-3} = ± i \sqrt{3} ( subtract 1 from both sides )

x = - 1 ± i \sqrt{3}

3 0
3 years ago
An elevator has a placard stating that the maximum capacity is 1296 lb long dash — 8 passengers.​ So, 8 adult male passengers ca
Masja [62]

Answer:

There is a 98.26% probability that it is overloaded.

This elevator does not appear to be safe.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

Assume that weights of males are normally distributed with a mean of 170 lb, so \mu = 170

They have a standard deviation of standard deviation of 29 lb, so \sigma = 29.

We have a sample of 8 adults, so we have to find the standard deviation of the sample to use in the place of \sigma in the Z score formula.

s = \frac{\sigma}{8} = \frac{29}{8} = 3.625

Find the probability that it is overloaded because they have a mean weight greater than 162 lb, so X = 162

Z = \frac{X - \mu}{\sigma}

Z = \frac{162 - 170}{3.625}

Z = -2.21

Z = -2.21 has a pvalue 0.0174.

So, there is a 1-0.0174 = 0.9826 = 98.26% probability that it is overloaded.

Any probability that is above 95% is considerer unusually high. So, this elevator does not appear to be safe, since there is a 98.26% probability that it is overloaded.

8 0
3 years ago
Simplify each expression
Stells [14]
The simplified expression is 6+3i 

3 0
3 years ago
Read 2 more answers
19. If a school board determines that there should be 3 teachers for every 50 students, how many teachers are needed for an enro
WINSTONCH [101]

Answer:

324 teachers

Step-by-step explanation:

3 teachers of every 50 students

__ teachers of 5400 students

so,

5400 \div 50 = 108

therefore,

3 \times 108 = 324

7 0
3 years ago
Read 2 more answers
The sales tax for an item was 12.80 and it cost 320 before tax​
Arlecino [84]

Answer:

4%

Step-by-step explanation:

Divide the tax by the pre-tax price =

12.80/320 = .04 or 4%

8 0
3 years ago
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