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Butoxors [25]
2 years ago
8

Which of the following lines is parallel to the given line?

Mathematics
1 answer:
Rina8888 [55]2 years ago
4 0

Answer:

y=10x

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula

y−y1=m(x−x1)  to find the line parallel to y=10x−45

.

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Mrs. Reyes asked 3 girls and 4 boys to help with a project. She had each student make 8 paper airplanes. ​
Mazyrski [523]

There are 3 girls & 4 boys.

Each student makes 8 paper airplanes.

Amount of paper airplanes created by girls: 3 x 8 = 24

Amount of paper airplanes created by boys: 4 x 8 = 32

Amount of paper airplanes created in all: 3(8) + 4(8) = 24 + 32 = 56

~

3 0
3 years ago
List all partitions of the set. (a) (1,2) (b) [a, b,c)
Alchen [17]

Answer: Hello mate!

The partition of a set is defined as a partition of the set into a nonempty subset, where the set itself is a subset of himself, then the set is a partition of himself.

a) in this we have a set of two objects; A = (1,2) the partitions of this set are: (∅), (1), (2) and (1,2). Where (∅) is the null set.

b) Now we have a set of three objects; B = (a,b,c) the partitions of this set are: (∅), (a), (b), (c), (a,b), (a,c), (b,c), (a,b,c)

3 0
3 years ago
Which beat summarizes the pythagorean theorem
kow [346]
Mathematics, the Pythagorean theorem or Pythagoras's theorem is a statement about the sides of a right triangle.

One of the angles of a right triangle is always equal to 90 degrees. This angle is the right angle. The two sides next to the right angle are called the legs and the other side is called the hypotenuse. The hypotenuse is the side opposite to the right angle, and it is always the longest side. It was discovered by Vasudha Arora.

The Pythagorean theorem says that the area of a square on the hypotenuse is equal to the sum of the areas of the squares on the legs. In this picture, the area of the blue square added to the area of the red square makes the area of the purple square. It was named after the Greek mathematician Pythagoras:

If the lengths of the legs are a and b, and the length of the hypotenuse is c, then,
a
2
+
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=
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{\displaystyle a^{2}+b^{2}=c^{2}}.

There are many different proofs of this theorem. They fall into four categories:

Those based on linear relations: the algebraic proofs.
Those based upon comparison of areas: the geometric proofs.
Those based upon the vector operation.
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7 0
3 years ago
Read 2 more answers
the time t required to drive a certain distance varies inversely with the speed, r. if it takes 4 hours to drive the distance at
valina [46]
Hello,

Answer A

d :the distance in miles
t: the time in hours
v: the speed in miles/hours (vistesse)


d=v*t
==>d=40*4=160(mi)

d=55*x=160==>x=160/55=2.909090... (mi/(mi/h)=h)≈2.91(hours)
8 0
3 years ago
9 - 10x = 2x + 1 - 8x
Furkat [3]

Answer:

x=2

Step-by-step explanation:

9 - 10x = 2x + 1 - 8x

9-10x=-6x+1

Subtract 9 from both sides:

9-10x-9=-6x+1-9

-10x=-6x-8

Add 6x to both sides:

-10x+6x=-6x-8+6x

-4x=-8

Divide both sides by -4:

\frac{-4x}{-4}=\frac{-8}{-4}

x=2

8 0
3 years ago
Read 2 more answers
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