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3 years ago

The first square number is 1, and the sum of the first 20 square numbers is 2870.

Mathematics

1 answer:

musickatia [10]3 years ago

7 0

21²=21×21
21×21=441

2,870+441=3,221

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What is the slope-intercept equation of the line below?

Sedbober [7]

Answer:

$Consider points (3,5) and (2,-5) from the graph \\ slope = \frac{( - 5 - 5)}{(2 - 3)} \\ m = 10 \\ in \: relation \: of \: (3,5) \: with \: y = mx + c \\ 5 = (10)(3) + c \\ 5 = 30 + c \\ c = - 25 \\ y = 10x - 25 \\ \frac{y}{5} = 2x - 5$

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3 years ago

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mario62 [17]

Answer:

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Step-by-step explanation:

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3 years ago

Which of the following graphs represents a function?

kirza4 [7]

The third graph represents a function.

In a function, every input (x value) has <em>exactly</em> one output (y value). If even a single input has zero or two outputs, the graph does not represent a function.

A good way of testing this is using a vertical line. As you move a vertical line from left to right across a graph, it should always be touching exactly one point on the graphed line.

In this case, every graph fails this vertical line test except for the third graph, so the third graph represents a function.

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2 years ago

Read 2 more answers

The area of a rectangular wall of a barn is 32 square feet. It’s length is 4 feet longer than the width. Find the length and wid

Gnom [1K]

Answer:

Step-by-step explanation:

Givens

Area = L * w

w = x

l = x + 4

Area = 32

Solution

32 = x(x + 4)

32 = x^2 + 4x

x^2 + 4x - 32

(x + 8)(x - 4)

Only x - 4 is going to make any sense

x - 4 = 0

x = 4

The width is 4

The length is 4 + 4 = 8

4*8 = 32 which is the area.

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3 years ago

PLLLEEEAASSEE HELP ME<br><br> explain how you got the answer

valkas [14]

For # 1, the answer will be 1 because of the exponential rule $a^{0} = 1$ .

#2, the answer is going to be $x^{4}$ because of the exponential rule $a^{-b} = \frac{1}{a ^{b} }$ .

#3. I'm not sure that this could be simplified any further.

#4 To get the answer to this question, we must apply the distributive property, along with the exponential rule $a ^{m} × a ^{n} = a ^{m+n}$ . When we apply these properties, we'll get $- \frac{3}{x^4}$

For the other questions, they all apply the Laws of Exponents.

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3 years ago