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12345 [234]
3 years ago
14

what do the following two equations represent? please help 4x+2y= 10 4x-2y= -10 a) the same line b) distance parallel lines c) p

erpendicular lines d) intersecting, but not perpendicular lines

Mathematics
1 answer:
sleet_krkn [62]3 years ago
8 0

Answer:

  d)  intersecting, but not perpendicular lines

Step-by-step explanation:

Changing the sign of one of the variable terms causes the line to be reflected across one of the axes. The slope is the opposite of what it was. Since the original slope was not 1 or -1, the resulting line is not perpendicular to it. Lines with different slopes will be intersecting.

The two lines are intersecting, but not perpendicular.

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A triangle has sides with lengths of 8 millimeters, 15 millimeters, and 17 millimeters. Is it a right triangle?
olga nikolaevna [1]

Answer:

yes.

Step-by-step explanation:

to find this answer, use the pythagoras theorem. the pythagoras theorem states that a² + b² = c².

to see if this is a right angled triangle, we will use this formula, as the pythagoras theorem only works for right angled triangles.

we are going to work out c, which is always the hypotenuse. the hypotenuse is the longest side of a triangle, that is larger than the other values. we know that the hypotenuse of this triangle is 17, so let’s see if that’s the answer we get.

calculation:

a² + b² = c²

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b = 15 millilitres

c = ?

8² + 15² = c²

64 + 225 = c²

64 + 225 = 289.

289 = c²

√289 = c

√289 = 17.

the pythagoras theorem correctly identified the length of the hypothenuse. as i said earlier, this theorem only works on right angled triangles, therefore, this triangle is right angled.

6 0
3 years ago
How can you use properties to solve equations with variables on both sides
bija089 [108]
You can use properties to solve equations with variables on both side by simplifying get the variable on one side. solve using inverse operations then check to see if it fits in right .
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3 years ago
Combine like terms. 7-x-(-5x)-10+4x
amm1812

Answer:

8x−3

Step-by-step explanation:

HOPE THIS HELPS!!!! :)

<3333333333

8 0
2 years ago
a lab technician mixed a 690 ml solution of water and alcohol, if 3% of the solution is alcohol, how many milliliters of alcohol
neonofarm [45]

To get the milliliters of alcohol used, we must multiply 690 by 0.03. If we do this, we will get 20.70, which means that 20.70 milliliters of alcohol were used. On the other hand, we can get the milliliters of water used through two ways: the first one is by simply subtracting 20.70 from 690, which will give us the answer 669.30. Another would be by multiplying 690 by 0.97, which will also yield the answer 669.30. The number of milliliters of water used was 669.30.

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3 years ago
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