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Sunny_sXe [5.5K]
2 years ago
7

Solve x2-9x+14=0 Would appreciate if anyone could help

Mathematics
1 answer:
Soloha48 [4]2 years ago
6 0
X2-9x+14=0
X2+-9x= -7x
-7x+14=0
0-14=-14
-7x=-14
-14/-7=2
x=2
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If the sides are 9 the height will be 7.8
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Use a trigonometric ratio to find the value of x. round your answer to nearest tenth
Alenkasestr [34]
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5 0
3 years ago
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Ket [755]

Answer:

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is  \frac{3}{4} ⇒ B

Step-by-step explanation:

In similar rectangles, their corresponding dimensions are proportional, which means \frac{L_{1} }{L_{2}} = \frac{W_{1} }{W_{2}} , where L is the length and W is the width

∵ Rectangle ABCD is similar to rectangle MNOP

∴ Their dimensions are proportional

∵ The dimensions of rectangle ABCD are 6 m, 14 m

∴ L_{1} = 14 and W_{1} = 6

∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m

∴ L_{2} = 10.5 and W_{2} = 4.5

∵ The rectangle MNOP is the image of rectangle ABCD after dilation

→ To find the scale factor of dilation find the ratio between the

    corresponding dimensions in the two rectangles (image/pre-image)

∵ \frac{L_{2} }{L_{1}} = \frac{10.5}{14} = \frac{3}{4}

∵ \frac{W_{2} }{W_{1}} = \frac{4.5}{6} = \frac{3}{4}

∴ The scale factor for the dilation is  \frac{3}{4}

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is  \frac{3}{4}

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