X - 2y = 3
<span>4x^2 - 5xy + 6y = 3
lets solve for x the first and substitute in the second:
x = 3 + 2y
4(</span>3 + 2y)^2 - 5(3 + 2y)y + 6y = 3
4(9 + 12y + 4y^2) - 15y - 10y^2 = 3
36 + 48y +16y^2<span> - 15y - </span><span>10y^2 = 3
6y^2 + 33y + 33 = 0
we can solve using the general quadratic formula:
y = (-33 +- </span>√(33^2 - 4*6*33)<span>)/12
</span>y = (-33 +- √(297)<span>)/12
</span>so there are 2 solutions for y:
y1 = (-33 + √(297)<span>)/12
</span>y2 = (-33 - √(297)<span>)/12
</span>pick one and then substitute the y value in the first equation to find x
The statement for geometric model using algebra tiles represents the factorization is the statement number 2.
<h3>What is algebra tile?</h3>
Algebra tiles used to represent the algebraic expression in the table form. The shape of algebra tile is square and rectangle, in which the variables represented.
The given polynomial equation in the problem is,

In the above polynomial, the highest power of variable is 2. Thus, it is a quadratic equation.The image of the algebra tile for the given polynomial attached below.
The statement which satisfy the polynomial and its algebra tile is,
An algebra tile configuration.
- 3 tiles are in the Factor 1 spot: 1 is labeled x and 2 are labeled negative.
- 3 tiles are in the Factor 2 spot: 1 is labeled x and 2 are labeled negative.
- 11 tiles are in the Product spot: 1 is labeled x squared, 4 are labeled negative x, and 6 are labeled.
Thus, the statement for geometric model using algebra tiles represents the factorization is the statement number 2.
Learn more about the algebra tile here;
brainly.com/question/4407619
a because the cubed root of 27 is 3
or 3x3x3 is equal to 27
Answer:
28.4 degrees
Step-by-step explanation:
In the diagram attached
Height of the cliff, AB=54 m
Distance of the raft to the base of the cliff, AC=100m
We want to determine the angle of depression from the top of the cliff to the raft. This is angle OBA.

The angle of depression from the top of the cliff to the raft is 28.4 degrees correct to the nearest tenth.
$90 - $30 = $60
$60 - $10 = $50
50 divided by 3* =
16.6666667
3*: from the 3 pencils that Jason also wants.