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Salsk061 [2.6K]
1 year ago
12

What is vertical line test is and how it is used?

Mathematics
1 answer:
laila [671]1 year ago
5 0

Answer:

The vertical line test is a visual test used to determine whether or not a graph is a function. To perform this test, simply draw a straight vertical line multiple times on different parts of the graph.

If a vertical line intersects with the graph at one point, then it's a function.

If a vertical line intersects with the graph at multiple points, then it's not a function.

Examples:

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I need some help pls :'(
Luda [366]

Answer:

a

Step-by-step explanation:

4 0
2 years ago
3x-2y=-5 and 4x+2y=-16​
podryga [215]

Answer:

x=-22/4

y=-3

Step-by-step explanation:

3x-2y=-5

4x+2y=-16

we <u>add</u> the equation

7y=-21

y=-3

then we find the x by taking a random equation

I take 4x+2y=-16

4x+2(-3)=-16

4x-6=-16

4x=-22

x=-22/4

7 0
3 years ago
(i) Write the expansion of (x + y)² and (x - y)². (ii) Find (x + y)² - (x - y)² (iii) Write 12 as the difference of two perfect
zaharov [31]

Answer:

1a (x + y)² = x² + 2xy + y²

1b. (x - y)² = x² - 2xy + y²

2. (x + y)² - (x - y)² = 4xy

3. 4² – 2² = 12

Step-by-step explanation:

1a. Expansion of (x + y)²

(x + y)² = (x + y)(x + y)

(x + y)² = x(x + y) + y(x + y)

(x + y)² = x² + xy + xy + y²

(x + y)² = x² + 2xy + y²

1b. Expansion of (x - y)²

(x - y)² = (x - y)(x - y)

(x - y)² = x(x - y) - y(x - y)

(x - y)² = x² - xy - xy + y²

(x - y)² = x² - 2xy + y²

2. Determination of (x + y)² - (x - y)²

This can be obtained as follow

(x + y)² = x² + 2xy + y²

(x - y)² = x² - 2xy + y²

(x + y)² - (x - y)² = x² + 2xy + y² - (x² - 2xy + y²)

= x² + 2xy + y² - x² + 2xy - y²

= x² - x² + 2xy + 2xy + y² - y²

= 2xy + 2xy

= 4xy

(x + y)² - (x - y)² = 4xy

3. Writing 12 as the difference of two perfect square.

To do this, we shall subtract 12 from a perfect square to obtain a number which has a perfect square root.

We'll begin by 4

4² – 12

16 – 12 = 4

Find the square root of 4

√4 = 2

4 has a square root of 2.

Thus,

4² – 12 = 4

4² – 12 = 2²

Rearrange

4² – 2² = 12

Therefore, 12 as a difference of two perfect square is 4² – 2²

7 0
3 years ago
Consider the numbers √27 and √39.
kobusy [5.1K]
√27 = 5.2 (to 1 dp)
√39 = 6.2 (to 1 dp)
A. √39 is greater.
B. 6 is the only whole number between the two.
Hope this helped :)
3 0
3 years ago
What is the value of t in this equation?<br> 3t=t+3
Lera25 [3.4K]
3t=t+3\\&#10;2t=3\\&#10;t=\dfrac{3}{2}
8 0
3 years ago
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