For this case, the first thing you should keep in mind is:
The solution of the inequation system is given by the shaded region.
Each inequality is met to the right of each graph.
We have then:
For inequation 1:
(2, 6)
(1, -3)
(-2, 5)
For inequation 2:
(2, 6)
(-1,-1)
(-3. 4)
(1, -3)
For the system:
(2, 6)
(1, -3)
Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in one variable will cause a corresponding increase in the other variable.
If two variables are inversely proportional, it means that an increase in one variable will cause a corresponding decrease in the other variable.
The variable z is directly proportional to x, and inversely proportional to y. If we introduce a constant k, the equation would be
z = kx/y
When x is 14 and y is 10, z has the value 26.6. It means that
26.6 = 14k/10
Cross multiplying, it becomes
26.6 × 10 = 14k
266 = 14k
k = 266/14
k = 19
The equation becomes
z = 19x/y
When x = 24, and y = 15, the value of z would be
z = 19 × 24/15
z = 30.4
4+28= 32
Think of it as you have 28 apples and someone gave you 4 how many would you have
Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.
Now, SRT is a straight line.
(Linear pair)
...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get
Therefore, the value of x is 103 degrees.
