The triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.
<h3>What is a Scalene Triangle?</h3>
A scalene triangle is a triangle whose three angles are unequal and also has three unequal sides.
This means that any two sides or two angles of a scalene triangle must not be equal.
Thus, the triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.
Learn more about scalene triangle on:
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Answer: 62.8cm^2
Step-by-step explanation:
The surface area of a cylinder is calculated by 2πrh+2πr2
where π is a constant, given as 3.14; h is the height, given as 3cm and r is radius, given as 2cm.
Therefore, rh = 3 x 2= 6 cm ^2 while r^2 =2 × 2= 4 cm^2.
Slot the values into the formula:
V= 2 (3.14) x 6 + 2 (3.14) x 4
V=37.68 + 25.12
V=62.8cm ^2
I hope this helps
Answer:
flip the inequality sign when multiplying or dividing on a negative number
Step-by-step explanation:
Hope this helped :]
Okay one moment i will have the answer soon...
Answer:
f(g(x)) = 4x² + 16x + 13
Step-by-step explanation:
Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.
<h3><u>Definitions:</u></h3>
- The <u>polynomial in standard form</u> has terms that are arranged by <em>descending</em> order of degree.
- In the <u>composition of function</u><em> f </em>with function <em>g</em><em>, </em>which is alternatively expressed as <em>f </em>° <em>g,</em> is defined as (<em>f </em> ° <em>g</em>)(x) = f(g(x)).
In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).
<h3><u>Solution:</u></h3>
Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:
f(x) = 4x + 5
g(x) = x² + 4x + 2
f(g(x)) = 4(x² + 4x + 2) + 5
Next, distribute 4 into the parenthesis:
f(g(x)) = 4x² + 16x + 8 + 5
Combine constants:
f(g(x)) = 4x² + 16x + 13
Therefore, f(g(x)) as a polynomial in <em>x</em> that is written in standard form is: 4x² + 16x + 13.
