Answer:
The answer for the question is D. 1/x^8
Answer:
The coordinates of the point are (-3,-5)
Step-by-step explanation:
Here, we want to find the coordinates of the point that divides the segment in the ratio 3:2
We shall use the internal division formula;
(x,y) = (mx2 + nx1)/(m + n) , (my2 + ny1)/(m+ n)
Where in this case;
(x1,y1) = (6,-2)
(x2,y2) = (-9,-7)
(m, n) = 3,2
Substituting these values;
(x,y) = (3(-9) + 2(6))/(3+2) , (3(-7) + 2(-2))/(3+2)
(x,y) = (-27 + 12)/5 , (-21 -4)/5
(x ,y) = (-15/5, -25/5)
(x , y) = (-3,-5)
Answer: the fractional increase is 1/5
Step-by-step explanation:
The initial area of Julio's living room was 1000 sq. ft. Then he added a room that was 20 ft. by 10 ft. The area of the room that was added to the living room would be
20 × 10 = 200 square feet
The new area of the room would be
1000 + 200 = 1200 square feet
Therefore, the fractional increase of the living space would be
Increase in area/original area
It becomes
200/1000 = 1/5
The width of the cooling tower is 36 meters.
<h3>What is a cooling tower?</h3>
A cooling tower is a vent that is built for the purpose of releasing waste heat back to the atmosphere.
Now we can model the system using; x²/324 - (y² - 90)²/1600. Thus, the width can be obtained from;
2 × ✓324
= 2 × 18
= 36 meters
Learn more about cooling tower:brainly.com/question/26654522
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Missing parts;
Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 324 minus quantity y minus 90 end quantity squared over 1600 equals 1 comma where the measurements are in meters. What is the width of the cooling tower at the base of the structure? Round your answer to the nearest whole number.
36 meters
48 meters
80 meters
89 meters
You may use the law of sines, that states that in every triangle the ratio between a side and the sine of the opposite angle is constant.
So, in your case, we have
We know that 
is 90 degrees, so its sine is 1. Also, we know that RS=26. So, the equation becomes
