the answer is 10m deep after rising
Answer: x=4 and y= 3
Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation
Answer:
BD = √97 cm ≈ 9.849 cm
Step-by-step explanation:
Diagonal BD of rectangle ABCD is the hypotenuse of right triangle ABD. Opposite sides of the rectangle are the same length, so we have ...
AB = 4 cm
AD = 9 cm
The sides are related to the diagonals by the Pythagorean theorem.
<h3>Pythagorean theorem</h3>
The Pythagorean theorem tells you the relation between sides and hypotenuse of a right triangle:
AB² +AD² = BD²
4² +9² = BD² = 16 +81 . . . . . evaluating the squares
BD = √97 . . . . . take the square root
The length of BD is √97 cm, about 9.849 cm.
Step-by-step explanation:
You need to translate all the points to the right 3 and up 6
Therefore, you are going to use this formula:
(x,y) ⇾ (x + 3, y + 6)
This is the same format as the previous problem, if you have noticed.
Using this, plug in each coordinate, starting with P (5, -1)
(5, -1) ⇾ ( 5 + 3, -1 + 6)
(5, -1) ⇾ ( 8, 5 )
P
= (8, 5)
Now point Q, (0, 8)
(0, 8) ⇾ (0 + 3, 8 + 6)
(0, 8) ⇾ ( 3, 14 )
Q
= (3, 14)
And last but not least, the point R, (7, 5)
(7, 5) ⇾ (7 + 3, 5 + 6)
(7, 5) ⇾ ( 10, 11 )
R
= (10, 11)
Therefore, P
= (8, 5), Q
= (3, 14), R
= (10, 11) is your answer. This is the 4th option or D.
Hope this for you to understand this a bit more! =D