Add 3 to both sides so that the equation becomes -2x^2 + 5x + 5 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -5 ± √(5^2 - 4(-2)(5)) ] / ( 2(-2) )
x = [-5 ± √(25 - (-40) ) ] / ( -4 )
x = [-5 ± √(65) ] / ( -4)
x = [-5 ± sqrt(65) ] / ( -4 )
x = 5/4 ± -sqrt(65)/4
The answers are 5/4 + sqrt(65)/4 and 5/4 - sqrt(65)/4..
Answer:
Explanation:
Since 
is a diameter, arc 
Given that 
is a subtended central angle by two diameters,
.
Using the rule of arcs, 
→
Below represents the proof that the quadrilateral QRST is a parallelogram
<h3>How to prove that QRST is a parallelogram?</h3>
The coordinates are given as:
Q = (-1,-1)
R = (2,9)
S = (-4,5)
T = (-7,-5)
Calculate the length of each side using:
So, we have:
The above computations show that opposite sides are equal.
Next, we determine the slope of each side using:
So, we have:
The above computations show that opposite sides are parallel, because they have equal slope
Hence, the quadrilateral QRST is a parallelogram
Read more about parallelograms at:
brainly.com/question/3050890
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I’m pretty sure you have it right already
Answer:
7
Step-by-step explanation:
We need to first of all find the volume of the fish tank. The most probable shape the ship tank can have is that of a cuboid.
The volume of a cuboid is l * b * h
And this is equals 30cm * 70cm * 90cm = 189,000 cubic centimeters
The number of fish the tank can contain can be obtained by dividing the volume by the volume occupied by a single fish.
This is 189,000/27000 = 7
