MATHEMATICS HIGH SCHOOL

What s the equation of a line that passes through points (-1,3) and (0,1) what is the equation of the line that passes through the points (-1,3) and (o,1)
what is the equation of the line that passes through the points (-1,3) and (0,1)?

Answers

Answer 1

Answer: the equation of the line is : y +2x = 1

Answer 2

Answer:

Answer:

y = -2x + 1

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

using (-1,3) and (0,1)

m = (1 - 3)/(0 - -1)

m = (-2)/(1) = -2

Slope-intercept: y = mx + b

using (-1,3)

then 3 = -2(-1) + b

3 = 2 + b

b = 1

y = -2x + 1

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Alberto wants to keep their favorite tree from being uprooted by heavy winds. They plan to tie 3 sections of rope to a band on the trunk of the tree, 5 feet above the ground. They will tie each section of the rope to a stake in the ground 12 feet out from the base of the tree. How much rope will he need altogether?

Answers

Answer:

39 ft

Step-by-step explanation:

Using the description as a guideline I have drawn out the situation (badly drawn) as seen in the picture below. From the picture, we see that we need to find x which is the length of one of the ropes. Once we have this length we simply multiply it by 3 to find out how much rope we need altogether. Since this is the diagonal of a triangle we can use the Pythagorean theorem to solve for x.

Pythagorean theorem: $a^(2) +b^(2) = c^(2)$ .... which a and b are the two sides while x is the diagonal.

$5^(2) +12^(2) = x^(2)$

$25 + 144 = x^(2)$

$169 = x^(2)$ ... now we square root both sides

$13 = x$

Now that we have the length of one of the ropes we simply multiply this by 3 to find the total amount of rope needed.

13 * 3 = 39 ft

One day a store sold 33 sweatshirts, White ones cost $11.95 and yellow ones cost $11.50. In all, $386.70 worth of sweatshirts were sold. How many of each color were sold?

Answers

16 whites $191.20 and 17 yellow $195.50 total $386.70

If you multiply a number by four and then subtract negative ten, the difference is negative eighteen. What
is the number

Answers

Let's call the number ' Q '.

The question says that (4Q) - (-10) = -18

Add -10 to each side:

4Q = -28

Divide each side by 4 :

Q = -7

What is the degree of each monomial?

7m6n5

Answers

The answer would be 11, in this case.

The exponent of m is 6, and the exponent of n is 5.

To find the degree add 6 + 5.

T Object]Which of the following is a true statement about the Marshall Plan?
A. It was designed to aid poor people in the United States.
B. It was implemented in 1954.
C. It was named after Truman's Secretary of State.
D. It gave Europe exactly $100 million dollars in aid.

Answers

♥C. It was named after Truman's Secretary of State.♥
A. It was designed to aid poor people in the United States. False
B. It was implemented in 1954. False
C. It was named after Truman's Secretary of State. True
D. It gave Europe exactly $100 million dollars in aid. False

C. It was named after Truman's Secretary of State

A regular hexagon has sides of 5 feet. What is the area of the hexagon