Answer:
See explanation
Step-by-step explanation:
Given triangle JKL with vertices at J(-2,4), K(-8,4), L(-4,6).
The dilation with scale factor ½ and center of dilation at the origin has the rule
Thus,
See attached diagram.
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.
The volume of the tank is 1570 cubic meters
<h3>How to determine the volume</h3>
The formula for determining the volume of a cylinder is expressed as;
Volume = πr²h
Where;
- radius is 10 meters
- height is 5 meters
- pi = 3. 14
Now, let's substitute into the formula;
Volume = 3. 14 × 10² × 5
Volume = 3. 14 × 100 × 5
Multiply through
Volume = 1570 cubic meters
Thus, the volume of the tank is 1570 cubic meters
Learn more about volume here:
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Use a system of inequalitiesto modelthe scenario above so the correct answer is letter A
Answer:
The 72nd term is -708
Step-by-step explanation:
