Answer:
Option (B)
Step-by-step explanation:
From the picture attached,
F1 and F2 are the focii of the hyperbola.
Point P(x, y) is x units distant from F1 and y units distant from the other focus F2.
By the definition of a hyperbola,
"Difference between the distances of a point from the focii is always constant and equals to the measure of transverse axis."
Difference in the distances of point P from focii F1 and F2 = (x - y) units
This distance is equal to the length of the transverse axis = (x - y) units
Therefore, Option (B) will be the answer.
Answer:
A. 
Step-by-step explanation:
On a cartesian plane, rectangle whose each pair of parallel side are parallel to respective axis is a quadrilateral must observe the following conditions:
, 
, 
, 
If we know that 
, 
, 
, 
, then the coordinates of the vertex K of the rectangle IJKL is:
Hence, the correct answer is A.
Answer:
k=10
Step-by-step explanation:
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
In this problem
m∠YZX+m∠YXZ=m∠MYZ
substitute the given values
Solve for k
Answer:
30.7 cm² (nearest tenth)
Step-by-step explanation:
Area of the wooden block = area of rectangle - area of semi-circle
Area of Rectangle = length × width
Length = 9 cm
Width = 4.5 cm
Area of rectangle = 40.5 cm²
Area of semi-circle = ½(πr²)
Radius (r) = ½ of diameter = ½*5 = 2.5 cm
π = 3.14
Area of semi-circle = ½(3.14*2.5²)
Area of semi-circle = 9.8125 cm²
✅Area of the wooden block = 40.5 - 9.8125 = 30.7 cm² (nearest tenth)
- The coordinates of a point satisfies the equation of a line if the point lies on the line
- If a single point satisfies the equations of two lines, the point is on both lines, so the lines will intersect at that point.
- This means that each point where the two lines touch is a solution to the system of equations
- This means that if you substitute the x and y values of the point for x and y in the equations, both equations will be true
<h2>
Explanation:</h2>
You haven't given any option. However, I have tried to complete this question according to what we know about system of linear equations. Suppose you have the following system of two linear equations in two variables:
The fist equation is the blue one and the second equation is the red one. Both have been plotted in the first figure below. As you can see, (-3, -3) is the point of intersection and lies on both lines. So this point is a solution of the system of equation and we can also say that it touches both lines. On the other hand, if you substitute the x and y values of the point for x and y in the equations, both equations will be true, that is:
Also, you can have a system with infinitely many solutions as the following:
Here, every point that is solution of the first equation is solution of the second one. That is because both equations are basically the same. If we divide eq (2) by 2, then we get eq (1).
<h2>Learn more:</h2>
System of linear equations in real life problems: brainly.com/question/10412788
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