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hammer [34]
3 years ago
7

2. A line passes through the points E(-1, 4) and F(3,-2). Which of the following is the slope of a line that is

Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0

Answer:

  (1)  2/3

Step-by-step explanation:

The slope of EF can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-2 -4)/(3 -(-1)) = -6/4 = -3/2

The slope of the perpendicular line is the opposite reciprocal of this.

  m' = -1/(-3/2) = 2/3

The slope of a line perpendicular to EF is 2/3.

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The base of an isosceles triangle is one and a half times the length of the other two sides.A smaller triangle has a perimeter t
Anna11 [10]

Answer:

Perimeter of the smaller triangle = 1.75x

Step-by-step explanation:

Let the two equal sides of an isosceles triangle = x

Therefore, length of the base = (1\frac{1}{2})x

Perimeter of this isosceles triangle = x + x + (1\frac{1}{2})x

                                                          = 2x + (1+\frac{1}{2})x

                                                          = 2x + x + \frac{x}{2}

                                                          = \frac{5x}{2}

Since, smaller triangle has a perimeter that is half the perimeter of the larger triangle,

Length of each corresponding side of smaller triangle will be half of the larger triangle.

Length of sides of the smaller triangle = \frac{x}{2},\frac{x}{2},(1\frac{1}{2})\frac{x}{2}

Perimeter of the smaller triangle = \frac{x}{2}+\frac{x}{2}+(1\frac{1}{2})\frac{x}{2}

                                                      = x + \frac{x}{2}+\frac{x}{4}

                                                      = \frac{3}{2}x+\frac{x}{4}

                                                      = \frac{6}{4}x+\frac{x}{4}

                                                      = \frac{7}{4}x

                                                      = 1.75x

Therefore, expression that represents the perimeter of the smaller triangle is (1.75x)        

4 0
3 years ago
The children at Lincoln School go outside for recess if the temperature is 3°C or higher for what temperature will the students
Svetlanka [38]

Answer:

it has to be 37.4 degrees or higher. An inequality would be X≥37.4

step-by-step explanation:

4 0
3 years ago
What is the slope of the line between (3,-4) and (-2, 1)?<br> O 1<br> 02.<br> O-2<br> O-1
natka813 [3]

Answer:

-1……..........................

4 0
3 years ago
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Determine if 0.669429565254154 is rational or irrational and give a reason for your answer
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Answer:

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Step-by-step explanation:

The reason why this number is rational is because this number terminates.

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3 years ago
Intervals do not need to be of equal size for a histogram.<br><br> True<br> False
ira [324]
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They are often of the same size, but this is not a requirement. What is important is that they're adjacent.
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