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KonstantinChe [14]
3 years ago
13

Sketch the graph of each line y=1/4x-1​

Mathematics
1 answer:
Hitman42 [59]3 years ago
4 0

Step-by-step explanation:

We need only two points to the plotting a graph of a line.

for x = 0

y=\dfrac{1}{4}(0)-1=0-1=-1\to(0,\ -1)

for x = 4

y=\dfrac{1}{4\!\!\!\!\diagup}(4\!\!\!\!\diagup)-1=1-1=0\to(4,\ 0)

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Please ASAP help please !!! Help me anyone
worty [1.4K]

difference of squares means that both the terms are square terms. (also there must be a - symbol)

for example

y^2 - 4

square root of y^2 is y

square root of 4 is +2 as well as -2

so you would factorise it like this:

(y+2)(y-2)

1. y^4 has a square root of y^2 as y^2 × y^2 is y^4.

<em>h</em><em>o</em><em>w</em><em>e</em><em>v</em><em>e</em><em>r</em><em>,</em><em> </em>-2 doesnt have a whole number square root so it is not a difference of squares.

2. 25 has a square root of 5. m^2 has a square root of m. n^4 has a square root of n^2. so this 25m^2n^4 is a square term.

1 has a square root of +1 and -1.

therefore, this one is a difference of squares. <u>(</u><u>5</u><u>m</u><u>n</u><u>^</u><u>2</u><u> </u><u>+</u><u>1</u><u>)</u><u> </u><u>(</u><u>5</u><u>mn^2</u><u> </u><u>-</u><u>1</u><u>)</u>

3. p^8 has a square root of p^4. q^4 has a square root of +q^2 and -q^2)

so it is a difference of squares. <u>(</u><u>p</u><u>^</u><u>4</u><u>+</u><u>q</u><u>^</u><u>2</u><u>)</u><u>(</u><u>p</u><u>^</u><u>4</u><u> </u><u>-</u><u>q</u><u>^</u><u>2</u><u>)</u>

4. 16x^2 is a square term as irs square root is 4x.

<em>h</em><em>o</em><em>w</em><em>e</em><em>v</em><em>e</em><em>r</em><em>,</em><em> </em>24 is not a square term.

therefore, it is not a difference of squares.

6 0
3 years ago
I don't get this part can somebody help pls?
meriva

Answer:

the ground level is -2

Step-by-step explanation:

hope this helps

7 0
3 years ago
the price of bread went from 1.50 per loaf to 2.50 per loaf in four years. find the rate of change of the price of bread
Talja [164]

Answer:

I think the answer is 1 I really hope this helps

Step-by-step explanation:


3 0
3 years ago
A certain flight arrives on time 80 percent of the time. Suppose 132 flights are randomly selected. Use the normal approximation
kondaur [170]
D because 118 and 120 is even numbers
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3 years ago
What is the height, x, of the equilateral triangle?
e-lub [12.9K]

Using the Pythagorean Theorem, the height of the equilateral triangle is given by:

A. h = 7\sqrt{3} inches.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs l_1 and l_2 of a right triangle with the length of the hypotenuse h, according to the following equation:

h^2 = l_1^2 + l_2^2

For this problem, we have that:

  • The height is one side of the triangle.
  • The other side is half the length, of 7 in.
  • The hypotenuse is the length, of 14 in.

Hence the height is found as follows:

h^2 + 7^2 = 14^2

h = \sqrt{147}

h = \sqrt{49 \times 3}

h = 7\sqrt{3} inches.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

#SPJ1

7 0
1 year ago
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