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3 years ago

Write an equation of the line with the given slope and y-intercept

Mathematics

1 answer:

Ilya [14]3 years ago

3 0

Answer:

The equation of line is y = x + 10

Step-by-step explanation:

Given as :

The slope of line = m = 1

The y intercept of line is 10

Now equation of line in intercept form is y = m x + c

∵ The line have y intercept only then x axis of line is zero

So, The equation of line

10 = 1 × 0 + c

Or, 10 = 0 + c

So, c = 10

∴ The new equation of line become y = 1 × x + 10

I,,e y = x + 10

Hence The equation of line is y = x + 10 Answer

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Help pls and no links

Nastasia [14]

Answer:

C) 4/(x+y)²

Step-by-step explanation:

start by expanding so it is written as 2÷(x+y)/(x+y)÷2.

Then rearrange so that it is 2×2/(x+y)×(x+y) or 4/(x+y)²

3 0

3 years ago

If a car is 13.5 feet long and there are 3 feet between each car, how many cars can be on a mile section of the highway?

Vikentia [17]

1 mile = 5,280 feet

Car + space = 13.5 + 3 = 16.5 feet

5,280 / 16.5 = 320

Answer: 320 cars

6 0

3 years ago

what are the coordinates of the point on the directed line segment (-1,-2) to (9,-10) that partitions the segment into a ratio o

Ymorist [56]

Answer:

[6.5,-7.25]

Step-by-step explanation:

Given the partitioning ratio as 3:1

#Find the length of the x-coordinate and multiply by the ratio:

x length=9--1=10

=> $\frac{1}{4}\times 10=2.5$

#We subtract 2.5 from the x-max to get the point=9-2.5=6.5

#Find the length of the y-coordinate and multiply by the ratio:

x length=-9--2=-7

=> $\frac{1}{4}\times -7=-1.75$

#We subtract -1.75 from the y-max to get the point=-9--1.75=-7.25

Hence, the coordinates that partitions the segment into a ratio of 3 to 1 is [6.5,-7.25]

4 0

3 years ago

A geologist has collected 5 specimens of basaltic rock and 7 specimens of granite. The geologist instructs a laboratory assistan

MaRussiya [10]

The rocks are chosen without replacement, which means that the hypergeometric distribution is used to solve this question. First we get the parameters, and then we answer the questions. From this, we get that:

$E(X) = 5.25, Var(X) = 0.5966$
P(X < 6) = 0.9545
P(all specimens of one of the two types of rock are selected for analysis) = 0.2046.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The mean and the variance are:

$\mu = \frac{nk}{N}$

$\sigma^2 = \frac{nk(N-k)(N-n)}{N^2(N-1)}$

We have that:

5 + 7 = 12 rocks, which means that $N = 12$

9 are chosen, which means that $n = 9$

7 are granite, which means that $k = 7$

Question a:

$E(X) = \mu = \frac{9\times7}{12} = 5.25$

$Var(X) = \sigma^2 = \frac{9\times7(12-7)(12-9)}{12^2(12-1)} = 0.5966$

Thus:

$E(X) = 5.25, Var(X) = 0.5966$

Question b:

Since there are only 5 specimens of basaltic rock, at least 9 - 5 = 4 specimens of granite are needed, which means that:

$P(X < 6) = P(X = 4) + P(X = 5) + P(X = 6)$

In which

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 4) = h(4,12,9,7) = \frac{C_{7,4}*C_{5,5}}{C_{12,9}} = 0.1591$

$P(X = 5) = h(5,12,9,7) = \frac{C_{7,5}*C_{5,4}}{C_{12,9}} = 0.4773$

$P(X = 6) = h(6,12,9,7) = \frac{C_{7,6}*C_{5,3}}{C_{12,9}} = 0.3181$

Thus

$P(X < 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.1591 + 0.4773 + 0.3181 = 0.9545$

So P(X < 6) = 0.9545.

Question c:

5 of basaltic and 4 of granite: 0.1591 probability.

7 of granite is P(X = 7), in which

$P(X = 7) = h(7,12,9,7) = \frac{C_{7,7}*C_{5,2}}{C_{12,9}} = 0.0455$

0.1591 + 0.0455 = 0.2046, thus:

P(all specimens of one of the two types of rock are selected for analysis) = 0.2046.

A similar question is found at brainly.com/question/24008577

5 0

3 years ago

Use vertical calculation to find each product:<br> (5.4) x (2.4) =<br> (1.67) x (3.5) =

Bad White [126]

Answer: your answer for the equation: ((5.4) x (2.4) = 12.96

for the second one it would be ((1.67) x (3.5) = 5.845

~I hope this is correct and has helped you, have a great day/night~

Step-by-step explanation:

6 0

3 years ago