Mathematics: Figure 2 of a tile pattern has 8 tiles, while figure 5 has 14 tiles. If the tile pattern grows at a constant rate, how many tiles will figure 40 have?

The solution is and Step-by-step explanation:The expression is Multiplying the term by , we get,Adding both sides by 1,Taking factor, we get,Equating the factors to 0, and Thus, the smaller value is The solution is and...

Figure 2 of a tile pattern has 8 tiles, while

Ответ:

payshencec21

10.04.2021

Mathematics

84 tiles

Step-by-step explanation:

Given that :

Figure 2 = 8 tiles

Figure 5 = 14 tiles

Growth rate :

(Figure 5 - figure 2)x= 14 - 8

3x = 6

x = 6/3

x = 2

(Figure 40 - figure 2) = 38 * x

Initial number of tiles + 38x

8 + 38(2)

8 + 76

= 84

Figure 40 = 84 tiles

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Ответ:

cindy437596

22.03.2021

Mathematics

The solution is x=-1 and x=-0.5

Step-by-step explanation:

The expression is 2x(x+1.5)=-1

Multiplying the term x+1.5 by , we get,

$2x^{2} +3x=-1$

Adding both sides by 1,

$2x^{2} +3x+1=0$

Taking factor, we get,

$\begin{array}{r}{x^{2}+2 x+x+1=0} \\{2 x(x+1)+1(x+1)=0} \\{(2 x+1)(x+1)=0}\end{array}$

Equating the factors to 0,

$\begin{aligned}2 x+1 &=0 \\2 x &=-1 \\x &=-\frac{1}{2}\\x&=-0.5\end{aligned}$ and $\begin{aligned}x+1 &=0 \\x &=-1\end{aligned}$

Thus, the smaller value is x=-1

The solution is x=-1 and x=-0.5

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Figure 2 of a tile pattern has 8 tiles, while figure 5 has 14 tiles. If the tile pattern grows at a constant rate, how many tiles will figure 40 have?

Ответ:

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