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3 years ago

Determine the distance between (-3,1) and y=3x+1

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

4 0

First, plot y=3x+1, which is (1,4)
Then, use the distance formula
The answer: is the square root of 25, so simplified to 5

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Put these in order starting from the smallest 6^2 3^4 2^9 5^3

Levart [38]

Answer:

6^2, 3^4, 5^3, and 2^9

Step-by-step explanation:

6^2= 36

3^4= 81

5^3= 125

2^9= 512

4 0

3 years ago

11th grade geometry:

Aliun [14]

Answer:

The perimeter is 72 units and the area is 149 square units.

Step-by-step explanation:

$\triangle SBA$ has coordinates $S(15,-8),B(-2,21)$ and $A(0,0)$

Using the distance formula.........

Length of side $SB = \sqrt{(15+2)^2+(-8-21)^2}= \sqrt{17^2+(-29)^2}= \sqrt{1130}$

Length of side $BA= \sqrt{(-2)^2+(21)^2}= \sqrt{445}$

Length of side $AS =\sqrt{(15)^2+(-8)^2}=\sqrt{289}=17$

So, the perimeter of the triangle will be: $(SB+BA+AS)= \sqrt{1130}+ \sqrt{445}+17 =71.71... \approx 72$ units. (Rounded to the nearest unit)

The height of the triangle for the corresponding base $SB$ is 8.89 units.

Formula for the Area of triangle, $A= \frac{1}{2}(base\times height)$

So, the area of the $\triangle SBA$ will be: $\frac{1}{2}(\sqrt{1130}\times 8.89)= 149.42... \approx 149$ square units. (Rounded to the nearest unit)

3 0

3 years ago

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer

choli [55]

Answer:

there is a 64% chance that the student got both problems wrong

a 32% chance that they got only 1 correct

and a 4% chance that they got both correct

Step-by-step explanation:

There are 25 total possible combinations of answers, with 8 possible combinations where the student would get 1 answer right, and 1 combination where the student would get both answers correct.

$25-9=16$

$\frac{16}{25} =\frac{x}{100}$

$\frac{64}{100}$

$64$ %

$\frac{8}{25} =\frac{y}{100}$

$\frac{32}{100}$

$32$ %

$\frac{1}{25} =\frac{z}{100}$

$\frac{4}{100}$

$4$ %

3 0

2 years ago

Which step is incorrect and what is the correct answer?

Anit [1.1K]

Answer:

Step 4, x = 3

Step-by-step explanation:

Step 4 was wrong, instead of 6x = 6, it should be 6x = 18. They shoudl've added 6 to both sides instead of subtracting 6 as ur trying to cancel out the 6 on the left side of the equation. So:

6x = 18

x = 3

7 0

2 years ago

How many minutes are in m hours? Which expression represents this?

sveta [45]

60m there's 60 minutes in an hour.

7 0

3 years ago

Read 2 more answers