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2 years ago

Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

Mathematics

2 answers:

Likurg_2 [28]2 years ago

6 0

Y-11=-7/2(x+3) is one answer and y+3=-7/2(x-1) is the other

Rina8888 [55]2 years ago

5 0

Answer:

7x+2y =1

Step-by-step explanation:

Hello

use the points to find the slope (A)

$A=\frac{-3-11}{1-(-3)} \\A= \frac{-14}{4} \\\\\\A=-\frac{7}{2} \\\\\\$

with the slope and a point , let´s take J(-3,11)

$y-y_{0} = A (x-x_{0} )\\\\y-11=-\frac{7}{2} (x+3)\\y-11=-\frac{7x}{2} -\frac{21}{2} \\y+\frac{7x}{2} =-\frac{21}{2} +11\\\\y+\frac{7x}{2} =0.5\\\\\\$

must be multiplied by two to eliminate the fractional and then order

$2*(y+\frac{7x}{2}) =2*0.5\\7x+2y =1$

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Mrs. Dimitri purchased a case of yogurt cups. Out of every 10 yogurt cups, 6 are strawberry.

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Answer:

1) The fraction of yogurt cups that are strawberry is 18/30. (True)

2) There are a total of 60 strawberry yogurt cups. (False)

3) 60% of the yogurt cups are strawberry. (True)

4) 30% of the yogurt cups are NOT strawberry. (False)

Step-by-step explanation

Total number of yogurt cups are = 30

for every 10, 6 are strawberry

thats is for the whole 30 cups total number of strawberries are = 18

1) The fraction of yogurt cups that are strawberry,

that is the fraction of the total number of strawberries over the total number of cups which is 18/30

2) There are a total of 60 strawberry yogurt cups,

the total number of yogurt cups is 30 while that of strawberry is 18

3) 60% of the yogurt cups are strawberry,

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4) 30% of the yogurt cups are NOT strawberry,

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2 years ago

The Fibonacci sequence was first discovered during a study of rabbits. If newborn rabbits become adults in one month, each pair

Rina8888 [55]

Answer:

There will be 233 pairs of rabbits would be produced after thirteen months.

Step-by-step explanation:

Consider the provided information.

In the Fibonacci sequence we can find the next term by adding the two numbers before it.

Let us consider that we have 1 pair of newborn rabbits in first month.

Then in the second month they will fully grow.

On the next month 1 more pair of baby rabbits were born.

Next month the baby rabbits were grown and the first pair had two more baby rabbits.

Thus the sequence will look like:

Sequence: 1, 1, 2, 3

It is given that the it follows the Fibonacci sequence. Now use the above rule to generate the Fibonacci sequence.

The required Sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233...

We need to find the number of pairs of rabbits would be produced after thirteen months.

Now from the above sequence we can find the number of rabbits produced after thirteen months.

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2 years ago

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<u>The given options are:</u>

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.

(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer:

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

The area of the shaded sector can be determined using the formula:

$\frac{m\angle ZYX}{360^\circ} \cdot \pi r^2$