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3 years ago

a map has a scale of 1cm:5km. the real distance between two towns is 65km. what will the measurement in cm be on the map?

Mathematics

1 answer:

Leviafan [203]3 years ago

7 0

Answer: 13

Step-by-step explanation:

since the scale is 1cm:5cm and the real distance is 65 it means that you have to use direct variation when the ratio stays the same so the answer would be 65/5 which is 13

HOPE THIS HELPED!!

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VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

<u>Factored form of a parabola</u>

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

Therefore, the equation of the parabola in factored form is:

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

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$\implies y=2(x^2-2x-4)$

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