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professor190 [17]
3 years ago
14

The slope of the line is

Mathematics
1 answer:
Nataliya [291]3 years ago
3 0

ANSWER:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

HOPE THIS HELP

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Select two ratios that are equivalent to 2:12 A.6:40 B.12:2 C.3:24 D.1:6 E.8:48
Sever21 [200]

Answer:

E

Step-by-step explanation:

2:12 is equivalent to 8:48

7 0
3 years ago
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In the picture below, ABCD is a rectangle. If the area of triangle ABE is 40, what is the area of the triangle?
MariettaO [177]

Area of the rectangle: 112

Step-by-step explanation:

Picture is missing: find it in attachment.

The area of a triangle is given by

A=\frac{1}{2}bh

where

b is the length of the base

h is the height

For triangle ABE, we know that

A = 40 (area)

h = 8 (height)

So we can find the length of the base AE:

AE=b=\frac{2A}{h}=\frac{2(40)}{8}=10

Now we observe that the base of the rectangle, AD, is the sum of AE and DE, therefore:

AD=AE+DE=10+4=14

We also know the height of the rectangle AB is 8, and that the area of a rectangle is

A=bh

where b is the base and h the height. Therefore, the area of this rectangle is

A=bh=(AD)(AB)=(14)(8)=112

Learn more about area of figures:

brainly.com/question/4599754

brainly.com/question/3456442

brainly.com/question/6564657

#LearnwithBrainly

7 0
4 years ago
I NEED HELP PLEASE I WILL MARK!!!!
WINSTONCH [101]

Answer:

_3/4/_2/3 the first one i hope u will mark me brai list

8 0
4 years ago
Sarah has been training for a marathon, which will cover a distance of 42.195 km. In training
nikdorinn [45]

Answer:

4 hours 21 minutes 17 seconds.

Step-by-step explanation:

1km = 6 minutes

42.195km = ?

42.195 × 6 = 253 minutes 17 seconds = 4 hours 21 minutes 17 seconds.

4 0
3 years ago
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Given that x = 3 + 8i and y = 7 - i, match the equivalent expressions.
drek231 [11]

By applying operations for <em>complex</em> numbers, we have these:

  1. - 5 · x + y = - 8 - i 41
  2. - x · y = - 29 - i 53
  3. x · 2 · y = 58 + i 106
  4. 2 · x - 3 · y = - 15 + i 19

<h3>How to find four equivalent complex expressions</h3>

Herein we must apply the operations of summing two <em>complex</em> numbers, multiplying two <em>complex</em> numbers and multiplying a <em>complex</em> number by a <em>real</em> number, which are defined below:

Addition between two complex numbers

(a + i b) + (c + i d) = (a + c) + i (b + d)     (1)

Multiplication between two complex numbers

(a + i · b) · (c + i d) = (a · c - b · d) + i (b · c + a · d)

Multiplication of a complex number by a real number

k · (a + i b) = k · a + i k · b      (2)

Now we proceed to find the equivalent expressions:

- 5 · x + y = - 5 · (3 + i 8) + (7 - i) = (- 15 - i 40) + (7 - i) = - 8 - i 41

- x · y = - (3 + i 8) · (7 - i) = (- 3 - i 8) · (7 - i) = (- 21 - 8) + i (- 56 + 3) = - 29 - i 53

x · 2 · y = (3 + i 8) · 2 · (7 - i) = (3 + i 8) · (14 - i 2) = (42 + 16) + i (112 - 6) = 58 + i 106

2 · x - 3 · y = 2 · (3 + i 8) - 3 · (7 - i) = (6 + i 16) + (- 21 + i 3) = - 15 + i 19

To learn more on complex numbers: brainly.com/question/10251853

#SPJ1

6 0
2 years ago
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