Multiply.<br><br><br><br> –58.7 • 13<br><br><br> Divide.<br><br> -6 ÷ 1/4

(-6,-9) (-2,-7) in a linear equation?

Sav [38]

Answer:

y=1/2x-6

Step-by-step explanation:

4 0

3 years ago

Help plsss i dont get it

Kamila [148]

Part A

The pattern of squares is 1, 4, 9, ... which is the set of perfect squares

1 = 1^2
4 = 2^2
9 = 3^2

and so on

The 7th figure will have 49 squares because 7^2 = 49

<h3>Answer: 49</h3>

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Part B

Each pattern has one circle per corner (4 circles so far). In addition, there's one circle per unit side to form the perimeter.

Pattern 1 has 4+4(1) = 8 circles
Pattern 2 has 4+4(2) = 12 circles
Pattern 3 has 4+4(3) = 16 circles

The nth term will have 4+4n circles. The first '4' is the number of circles at the corners. The 4n is the circles along the perimeter. If you wanted, 4+4n factors to 4(1+n).

Plug in n = 20 to find the 20th figure has 4+4n = 4+4(20) = 84 circles

<h3>Answer: 84</h3>

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Part C

Pattern 1 has 1 square + 8 circles = 9 items total
Pattern 2 has 4 squares + 12 circles = 16 items total
Pattern 3 has 9 squares + 16 circles = 25 items total

This seems to suggest if the pattern number is odd, then we need an odd number of tiles (square + circular).

Let n be the pattern number. Pattern n needs n^2 square tiles and 4+4n = 4n+4 circular tiles. Overall, n^2+4n+4 tiles are needed.

It turns out that if n is odd, then n^2+4n+4 is always odd. The proof is shown below.

Side note: n^2+4n+4 factors to (n+2)^2

<h3>Answer: B) will always be odd</h3>

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=The%20%5C%3A%20%20value%20%20%5C%3A%20of%20%20%5C%3A%20%20%5Csqrt%7B6%20%2B%20%20%5Csqrt%7B6%2

saul85 [17]

$\large\underline{\sf{Solution-}}$

<u>Let us assume that:</u>

$\sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } }$

We can also write it as:

$\sf \longmapsto x = \sqrt{6 + x }$

Squaring both sides, we get:

$\sf \longmapsto {x}^{2} =6 + x$

$\sf \longmapsto {x}^{2} - x - 6 =0$

By splitting the middle term:

$\sf \longmapsto {x}^{2} - 3x + 2x - 6 =0$

$\sf \longmapsto x(x - 3) + 2(x - 3 ) =0$

$\sf \longmapsto (x+ 2)(x - 3 ) =0$

<u>Therefore:</u>

$\longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}$

$\sf \longmapsto x = - 2,3$

<u>But x cannot be negative. </u>

$\sf \longmapsto x = 3$

Therefore, the value of the expression is 3.

$\large\underline{\sf{Verification-}}$

Given:

$\sf\longmapsto x=3$

We can also write it as:

$\sf\longmapsto x = \sqrt{9}$

$\sf\longmapsto x = \sqrt{6+3}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{9}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}$

This pattern will continue.

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}$

7 0

3 years ago

HELP! Due in 10 mins! Pls I rlly need this!!!

Nimfa-mama [501]

B, 12.6 because on the chart in the “f” column, next to -4.5 is 12.6

6 0

3 years ago

Write a word phrase for each algebraic expression. <br> 25-0.6x<br> 2/3y+4<br><br> 10 points

umka2103 [35]

Answer:

60 percent of a number subtracted from 25
4 more than 2/3 of a number

Step-by-step explanation:

"60 percent of a number subtracted from 25" is a phrase that translates into 0.6 for 60% and "of a number" as 0.6x. Take this number and its subtracted from 25: 25-0.6x.

"4 more than two thirds of a number" is a phrase that translates into addition for "4 more" and multiplication with "two thirds of a number". This means 4 + 2/3y.

8 0

3 years ago

Multiply. –58.7 • 13 Divide. -6 ÷ 1/4