Mathematics: 2|x-3|-5=7 this is the equation i need to solve for x

2|x-3|-5=7 this is the equation i need to solve

skiddymark3ox93za

18.04.2020

The height of the arch 50ft from the center is 97ft

Step-by-step explanation:

A bridge over a gorge is supported by an arch in the shape of a semi-ellipse

The length of the bridge is 400 ft. and the maximum height is 100 ft

so, a=200ft

b=100ft

(a)

we can draw picture

(b)

now, we can use equation of ellipse formula

$\frac{x^2}{a^2}+ \frac{y^2}{b^2}=1$

now, we can plug

a=200

b=100

$\frac{x^2}{200^2}+ \frac{y^2}{100^2}=1$

we can plug x=50 and find y

$\frac{50^2}{200^2}+ \frac{y^2}{100^2}=1$

$y=25\sqrt{15}$

y=97ft

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