The range of the function is:
<h3>What is the range of a function?</h3>
The range of a function is the set of output values the function can take
The function is given as:
The above function is an absolute value function;
And it is represented as:
When a is positive, then the range of the function is:
By comparison, we have:
Hence, the range of the function is:
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The measure of ∠4, ∠3 and ∠7 are 115°, 65° and 65° respectively.
<h3>
Equation</h3>
An equation is an expression used to show the relationship between two or more numbers and variables.
From the diagram:
∠2 + ∠4 = 180° (sum of angles in a straight line)
∠4 + 65 = 180
∠4 = 115°
b) ∠2 = ∠3 (vertically opposite angles)
∠3 = 65°
c) ∠3 = ∠7 (corresponding angles)
∠7 = 65°
The measure of ∠4, ∠3 and ∠7 are 115°, 65° and 65° respectively.
Find out more on Equation at: brainly.com/question/18831322
We have three pythagoras:
4² + y² = z²
16² + y² = x²
x² + z² = 20²
Now let's think:
4² + y² = z²
y² = z² - 4²
16² + y² = x²
16² + z² - 4² = x²
x² + z² = 20²
16² + z²- 4² + z² = 20²
2z² = 20² - 16² + 4²
2z² = (2.10)² - (2^4)² + (2²)²
2z² = 2².10² - 2^8 + 2^4
z² = 2.10² - 2^7 + 2^3
z² = 200 - 128 + 8
z² = 208 - 128
z² = 80
z = √80
80 | 2
40 | 2
20 | 2
10 | 2
5 | 5
1
80 = 5.2^4
So
√80 = 4√5
z = 4√5
Slope is found by the formula (y2 -y1) divided by (x2 - x1). We plug in the numbers, and get ((-2) - 2) divided by (6 - (-3)). So the slope will be -0.44