X Intercept is when the graph crosses the X Axis, point of intersection. To find it, just convert into standard form and solve for x by getting rid of y.

The Y-intercept is where the line crosses the y-axis, point of intersection. It is the constant in the slope-intercept form.

5 0

2 years ago

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A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 130 feet from a pili

Dimas [21]

Answer:

x = 225.16 feet

Step-by-step explanation:

Given that,

The angle between the piling and the pier is 60°.

A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.

We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :

$\tan(60)=\dfrac{x}{130}\\\\x=\tan(60)\times 130\\\\x=225.16\ feet$

So, the required distance is 225.16 feet.

4 0

2 years ago

Simplify the radical expression completely LaTeX: 3\sqrt{5}\:-\:3\sqrt{11}+2\sqrt{121}-3\sqrt{90}3 5 − 3 11 + 2 121 − 3 90 A. La

lora16 [44]

Answer:

$3\sqrt{5}\:-\:3\sqrt{11}+22-9\sqrt{10}$

Step-by-step explanation:

Given

$3\sqrt{5}\:-\:3\sqrt{11}+2\sqrt{121}-3\sqrt{90}$

Required

Simplify the expression

$3\sqrt{5}\:-\:3\sqrt{11}+2\sqrt{121}-3\sqrt{90}$

Express the square root of 121 as 11

$3\sqrt{5}\:-\:3\sqrt{11}+2 * 11-3\sqrt{90}$

$3\sqrt{5}\:-\:3\sqrt{11}+22-3\sqrt{90}$

Express 90 as 9 * 10

$3\sqrt{5}\:-\:3\sqrt{11}+22-3\sqrt{9 * 10}$

Split the surd to 2

$3\sqrt{5}\:-\:3\sqrt{11}+22-3\sqrt{9} * \sqrt10}$

Express the square root of 9 as 3

$3\sqrt{5}\:-\:3\sqrt{11}+22-3 * 3 * \sqrt10}$

$3\sqrt{5}\:-\:3\sqrt{11}+22-9 * \sqrt10}$

$3\sqrt{5}\:-\:3\sqrt{11}+22-9\sqrt{10}$

Hence, the result of the expression is

$3\sqrt{5}\:-\:3\sqrt{11}+22-9\sqrt{10}$

7 0

2 years ago