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Umnica [9.8K]
3 years ago
14

What is the slope of the line passing through the points (−1, 3) and (4, −7)?

Mathematics
1 answer:
Ahat [919]3 years ago
5 0
The answer is -2. The equation is y2-y1/x2-x1. So -7-3 is -10. 4- -1= 5. Then -10/5 is a negative 2.
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The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first ba
Andru [333]
Well the question doesnt show any number for a side or anything but we can solve this with algebra if we say that a side from one base to next has a length of x. so we know each side has length x and that the shape they make is square. This means we are only searching for the diagonal of a square.

remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using the pythagoream theorem we can say that
a^2 + b^2 = c^2

we said all side lengths are x so we can put x in for a and b and get

x^2 + x^2 = c^2

2x^2 = c^2

c = x * squareroot(2)

that is the basic fundamental answer that will always work when working with diagonals of squares.

so if the length between bases is 90 ft, we could plug this in and get
c = 90 ft * squareroot(2)
c = 127.28 ft
7 0
3 years ago
Given that lines a and b are parallel, what angles formed on line b when cut by the transversal are congruent with ∠2?
Kruka [31]

Answer:

The angles formed on line b when cut by the transversal are congruent with ∠2 are \angle{6}\text{ and }\angle{7}

Step-by-step explanation:

Consider the provided information.

If transversal line crossed by two parallel lines, then, the corresponding angles and alternate angles are equal .

The angles on the same corners are called corresponding angle.

Alternate Angles:  Angles that are in opposite positions relative to a transversal intersecting two lines.

∠2 and ∠6 are corresponding angles

Therefore, ∠2 = ∠6

∠2 and ∠7 are alternate exterior angles

Therefore, ∠2 = ∠7

Hence, the angles formed on line b when cut by the transversal are congruent with ∠2 are \angle{6}\text{ and }\angle{7}

3 0
3 years ago
Integers contain whole numbers True or False
murzikaleks [220]

Answer:

true...integers are whole number...both negative and positive

Step-by-step explanation:

4 0
3 years ago
A box contains
Usimov [2.4K]
<span>the probability that a pen from the first box is selected
= total number of pens in 1st box/total number of objects in box 1
= 5/12

</span>the probability that a crayon from the second box is selected 
= total number of crayons in 2nd box/total number of objects in box 2
= 6/8 = 3/4
7 0
3 years ago
A savings account accrues interest at a rate of 3.0% yearly. If someone opens an account with $2,500, how much money would the a
Sauron [17]
3\%=\frac{3}{100}=0,03\\\\&#10;First\ year:2500+2500*0,03=2500+75=2575\\\\Second\ year:\ 2575+2575*0,03=2575+77,25=2652,25\\\\Third\ year:\ \ 2652,25+2652,25*0,03=2652,25+79,5675=\\\\2731,8175\\\\ Fourth\ year: 2731,8175+2731,8175*0,03=2731,8175+81,954525\\\\=2813,772025\\\\Fifth\ year:\ 2813,772025+2813,772025*0,03=\\\\2813,772025+84,41316075=2898,18518575\$
5 0
4 years ago
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