Answer:
The values of x = 12 and y = 8.
Step-by-step explanation:
From the given figure ,
ΔMTW≅ΔBGK
That is, these two triangles are congruent.
If two triangles are congruent , all the corresponding angles and corresponding sides are equal.
Congruency is different from similarity . Similarity means two triangles which are the same with different dimensions.
Therefore , ∠MTW = ∠BGK
(4x - 3)° = 45°
4x = 48°
x = 12
Since ∠MTW = 45° ,
∠TMW = 180 - (41 +45)
= 180 - 86
=94°
From congruency ,
∠TMW = ∠GBK
94° = 11y + 6
11y = 88°
y = 8
Given:
Vertex ===> (h, k) (2, 4)
The parabola passes through the point: (x, y) ==> (3, 6)
Let's find the equation of a parabola.
To find the equation, use the general equation of a parabola with vertex (h, k):
Where:
(h, k) ==> (2, 4)
(x, y) ==> (3, 6)
Substitute values into the general equation:
Subtract 4 from both sides:
Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:
Therefore, the equation of the parabola is:
ANSWER:
Greater than 1.Because 1.25-0.25=1.23.That's it.
Answer:
y=1
Step-by-step explanation:
5y(2x-1)=y(x+2)+20, x=3
5y(2(3)-1)=y(3+2)+20
5y(6-1)=y(5)+20
5y(5)=5y+20
25y=5y+20
25y-5y=20
20y=20
y=20/20
y=1
Answer:
The system has no solutions.
Step-by-step explanation:
If you stare at it for the bit you can tell the system is impossible. Let's see why:
First of all, rewrite the second equation by bringing all unknowns on the LHS:
.
Then take twice the first equation, doubling every coefficient:
See how the LHS is the same? The system is asking you to find a quantity (4x+6y) which is at the same time equal to four AND five - emphasis on that "and" - which is obviously impossible, because it implies that 4=5. So the point - which you didn't provide - is not a solution. Nor is any other point.
