2x-8=x+4
Get the x to the other side and the 8 to the opposite
2x-x=4+8
X=12
The horizontal distance until the plan flies over the island is 2687.05 feet approximately.
<u>Solution:</u>
Given that, A plane at an altitude of 7000 ft is flying in the direction of an island
An angle of depression is 21 degree from the plane to the island
We have to find what is the horizontal distance until the plan flies over the island
The diagram is attached below
Assume as shown in the diagram
, now we can use the right angle triangle property




Hence, the distance between plane and point above island is 2687.05 feet approximately.
1.solve for y
2x+4y=12
<u> </u><span><u> -2x -2x</u>
</span><u>4y</u>=<u>12-2x</u>
<u>4 4</u>
y=3-1/2x
step2 plug in y and solve for x
2x+8y=24
2x+8(3-1/2x)= 24
2x+24-4x=24
<u>-2x</u>=<u>0
</u><u>-2 -2</u>
x=0
last step plug in x and solve for y
y=3-1/2x(0)
y=3
The dimensions of the rectangular cross section will be<u> 10 centimeters by 18 centimeters</u>
<u></u>
Step-by-step explanation:
As ,we know
<u>The rectangular cross section is parallel to the front face</u>
Which clearly states that
The dimensions of the rectangular cross section is congruent with the dimensions of the front face
Lets assume that dimensions of the front face are 10 centimeters by 18 centimeters
<u>Then ,The dimensions of the cross section will also be 10 centimeters by 18 centimeters</u>
<u></u>
<u>Hence we can say that the</u> dimensions of the rectangular cross section will be<u> 10 centimeters by 18 centimeters</u>
When finding the domain of a square root, you have to know that it is impossible to get the square root of 0 or any negative number. since domain is possible x values this means that x cannot be 0 or any number less than 0. However, you can find the square root of the smallest most infinitely small number greater than 0. since an infinitely small number close to zero can not be written out, we must must say that the domain starts at 0 exclusive. exclusive is represented by an open or close parenthesis so in this case the domain starts with:
(0,
we can get the square root of any number larger than 0 up to infinity but infinity can never be reached so it is also exclusive. So so the ending of our domain would be:
,infinity)
So the answer if the square root is only over the x the answer is
(0, infinity)
But if the square root is over the x- 5 then this would brIng a smaller amount of possible x values. since anything under the square root sign has to be greater than 0, you can say that:
(x - 5) > 0
x > 5
Therefore the domain would start at 5 and the answer would be:
(5, infinity)