Answer:
∆y = 95 ft
the vertical distance the shark travels is 95 ft
Step-by-step explanation:
Given;
Initial position y1= 80 ft below the surface of water = -80ft
Final Position y2 = 15 ft above the surface = +15ft
The vertical distance travelled by the shark is;
∆y = y2 - y1 = 15 - (-80) ft
∆y = 15 +80 ft
∆y = 95 ft
the vertical distance the shark travels is 95 ft
It would be $1000 x 0.5 interest, then you should have 500 and multiply it by 20 years, which would be 10,000
Answer:
p = -1/2
Step-by-step explanation:
(6 × p) + 3
= 6p + 3
6p = -3
p = -3/6
p = -1/2
Answer:
It is because not all sides of a rectangle are equal in length; unlike a square.
Step-by-step explanation:
Let's start by drawing the first diagonal.
You know already how a rectangle looks. It has 4 sides and 2 sets of parallel sides. Each pair of parallel sides has the same length.
A diagonal is a line crossing from one edge of a four-sided shape to the opposite edge; such that it divides the shape into two equal halves.
Now place your rectangle horizontally. Let the two longer sides be on the horizon while the two shorter sides go vertical.
We draw the first diagonal from the edge on the top right to the opposite edge (down left). This will divide the shape into two equal halves and each half will be a triangle; a congruent one at that.
When you fold this rectangle along its diagonal, the two triangles will not overlap! The resulting shape will be like two triangular mountains lying side by side. You can use a paper (cut in the shape of a rectangle) for this experiment.
Why does this happen, instead of the two triangles covering each other (overlapping)?
This happens because a rectangle doesn't have 4 equal sides. Check out a square and you'll see that both triangles will overlap after a diagonal is drawn across the square.
Draw the second diagonal of the rectangle (from up-left to down-right) and the same thing is observed.
Answer:
This system of equations has no solutions
Step-by-step explanation:
in the linear equations, if the variable is disappeared, and
- The two sides of the equation are equal, then the equation has infinitely many solutions
- The two sides of the equation are not equal, then the equation has no solutions
Let us solve the question
∵ x = 2y ⇒ (1)
∵ 6y - 3x = 18 ⇒ (2)
→ Substitute x in equation (2) by the value of x in equation (1)
∵ 6y - 3(2y) = 18
∴ 6y - 6y = 18
∴ 0 = 18
→ 0 can not equal 18
∴ Left hand side ≠ Right hand side
→ From the 2nd note above
∴ This system of equations has no solutions