The mathematical functions (equations) are matched to their graph line respectively as follows:
- y = 960 - 78x: purple straight line.
- y = 8·3^x: violet line curve that slopes to the left.
- y = 960·(1/2)^x: green line curve that slopes to the right.
<h3>What is a linear function?</h3>
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate. Mathematically, a linear function is given by this equation:
y = mx ± c.
<h3>What is an exponential function?</h3>
An exponential function can be defined as a type of mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:
f(x) = keˣ
Next, we would match each of the mathematical functions (equations) to their graph line respectively as follows:
- y = 960 - 78x: purple straight line.
- y = 8·3^x: violet line curve that slopes to the left.
- y = 960·(1/2)^x: green line curve that slopes to the right.
Read more on graphs here: brainly.com/question/24298987
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A triangle needs a total of 180° to be a complete triangle. First let's solve for m∠B since we have the other angles given in that triangle.
30 + 70 = 100
180 - 100 = 80° still needed to form a complete triangle. This is what m∠B equals.
From the image provided, we can see that both triangles are the exact same. So all we need to do now is find the angle that matches m∠B. In this case that angle is m∠D. Knowing that m∠B = 80° the final answer is:
m∠D = 80°
Hoped This Helped! Good Luck!
Answer:
11
Step-by-step explanation:
55/11=5
Answer:
5.38 inches
Step-by-step explanation:
The formula for Area of an Heptagon
= A=7/4a²cot(180°/7)
Area = 105in²
Side a = ?
The formula for Side a
= √4A ×tan (180°/7)/7
= √4 × 105 × tan (180°/7) /7
= 5.37536 inches
Approximately = 5.38 inches.
If you know the volume then:
(3 * Cone Volume) / (PI * radius^2) = height
