Answer:
x = 2
Step-by-step explanation:
<em>Distribute</em>
3 (−4) = 2 (−2+1)
3 − 12 = 2 (-2x +1)
<em>Distrubute again</em>
3x - 12 = -4x + 2
<em>Add twelve to both sides of the equation</em>
<em>Simpfly</em>
3x = -4x + 14
<em>Add 4x to both sides of the equation</em>
<em>simpfly</em>
7x = 14
<em>Divide both sides of the equation by the same term</em>
<em>Simpfly</em>
x = 2
Answer:
23.6 ft
Step-by-step explanation:
Sketch a right triangle representing this situation. The length of the hypotenuse is 26 ft and the angle of elevation from ground to top of ladder is 65°. The "opposite side" is the reach of the ladder, which we'll call x.
Then:
opp
- sin 65° = ----------
- 26 ft
or (26 ft)(sin 65°) = opp side = height off the ground of top of ladder.
Evaluating this, we get:
(26 ft)(0.906) = 23.56 ft, or, rounded off, 23.6 ft
The ladder reaches 23.6 ft up the side of the building.
Answer:
-9n^6
Step-by-step explanation:
(−9n^3)(n^3)
=(−9) * n^3 * n^3
=−9 * n^6
=−9n^6
Answer:
If she wants to run 16 more miles in four days (30 miles minus already done 14 miles) she can run 4 miles a day for the next four days. 4 miles a day.
Step-by-step explanation:
Heya !
Using a theoram about triangles ,
Given a triangle ∆ABC, the sum of the lengths of any two sides of the triangle is greater than the length of the third side ,
Also , the length of third side always greater than absolute difference of the other two sides ,
Let the third side be x ,
So , x < 9 + 8 and x > 9 - 8
x < 17 and x > 1
Hence , x ∈ [ 2 , 17 ] inch.
Above case is true for any triangle , be it scalene , Isosceles , Right-angled ...
As , for Isosceles , the third side can be 8 or 9 inches ,
For scalene , all values in the above range satusfies ,
For right angled triangle , we have 2 cases ,
Case 1 : Third side is the hypotenuse
Then , x = √(9²+8²) = √145 = 12.0415 inch.
Case 2 : Third side is not the hypotenuse
Then , x = √(9²-8²) = √17 = 4.1231 inch.
Hope it helps you ! :)
