Answer:
Measure of segment JL is 20 cm.
Step-by-step explanation:
By applying geometric mean theorem in the given right triangle,
Since, 
[By segment addition postulate]
cm
Therefore, measure of segment JL is 20 cm.
Answer:
Solution of the system will be (-3, 6).
Step-by-step explanation:
If a system of linear equations have been given in the question then we can find the solution of the linear equations by solving these equation algebraically.
But when a graph of the system of equation have been given solution of the system is the point of intersections Or common points lying on both the lines.
From the given graph,
Coordinates of the common point of both the lines is (-3, 6).
Therefore, solution of the system will be (-3, 6).
Answer:
To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.
Step-by-step explanation:
A polynomials is an equation with many terms whose leading term is the highest exponent known as degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.
This polynomial has roots -4, -1, and 5. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or the simple touch it and bounce back? The even or odd multiplicity - how many times the root occurs.
In this polynomial:
Root -4 has even multiplicity of 4 so it only touches and does not cross through.
Root -1 has odd multiplicity of 3 so crosses through.
Root 5 has even multiplicity of 6 so it only touches and does not cross through.
Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends point down. All even degree graphs will have this shape.
To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.
Answer:
That's an isosceles right trapezoid. The legs equal hypotenuse * (1 / sq root (2))
legs = 7 * 1 / sqroot (2)
Answer is D
Step-by-step explanation:
Answer:
10% decrease
Step-by-step explanation:
The formula for percent change is:
Therefore, for this example:
The negative value indicates that the change was a decrease. Therefore, there was a 10% decrease.
