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grigory [225]
3 years ago
5

The point (2, -3) lies in quadrant

Mathematics
1 answer:
timurjin [86]3 years ago
3 0

Answer:

Therefore,

( 2 , -3 ) Lies in Quadrant IV.

Step-by-step explanation:

Quadrant :

The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants.

Recall that the coordinate plane has an x-axis that divides into a top and bottom half, and a y-axis dividing into the left and right half. Together they create the four quadrants of the plane.

Numbering is done in Anticlockwise

Quadrant I  -          x-coordinate is Positive , y-coordinate is Positive.  

Quadrant II   -        x-coordinate is Negative , y-coordinate is Positive.  

Quadrant III    -      x-coordinate is Negative , y-coordinate is Negative.  

Quadrant IV     -    x-coordinate is Positive , y-coordinate is Negative.  

Therefore,

( 2 , -3 ) Lies in Quadrant IV.

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The answers to each of the given problems are;

1) Sum of two smallest integers  = 23

2) 3x + 6

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<h3>How to find the sum of consecutive Integers?</h3>

1) We are told that sum of 4 consecutive integers is increased by 20 and equals 70. Thus, we have;

x + (x + 1) + (x + 2) + (x + 3) + 20 = 70

4x + 26 = 70

4x = 70 - 26

4x = 44

x = 44/4

x = 11

Thus, sum of two smallest integers = 11 + 11 + 1 = 23

2) Let the consecutive odd numbers be;

x, (x + 2) and (x + 4)

Sum of these consecutive odd numbers is;

x + x + 2 + x + 4 = 3x + 6

3) We are given the equation to find the acceleration as;

(v_final)² - (v_initial)² = 2ad

We are given;

v_final = 40 m/s

v_initial = 10 m/s

d = 100 m

Thus;

40² - 10² = 2a(100)

1500 = 200a

a = 1500/200

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Read more about sum of integers at; brainly.com/question/17695139

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1 year ago
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Step by step explanation:

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3 years ago
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3 years ago
The image of a parabolic lens is traced onto a graph. The function f(x) = (x + 8)(x – 4) represents the image. At which points d
alexandr402 [8]

Answer:

x = -8 and x = 4

Step-by-step explanation:

given

f(x) = (x+8) (x - 4)

recall that at any point on the x-axis, y = 0 [i.e f(x) = 0]

hence to find where the graph crosses the x-axis, we simply substitue f(x) = 0 into the equation and solve for x

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