Answer:
- 50
Step-by-step explanation:
x = 3
f ( x ) = - 4x^2 - 3x - 5
f ( 3 )
= - 4 ( 3 )^2 - 3 ( 3 ) - 5
= - 4 ( 9 ) - 3 ( 3 ) - 5
= - 36 - 9 - 5
= - 50
The <u>comparison</u> and <u>contrast</u> between a square and an <em>equilateral triangle</em> are stated and explained below:
What is a <u>square</u>? A <u>square</u> is a <em>plane shape</em> with an equal length of sides. This implies that the <em>measure</em> of its length is the same as that of its <u>breadth</u>.
What is an equilateral triangle? A <em>triangle</em> is a <em>plane shape</em> with<u> three </u>sides, and a <em>sum </em>of its <u>internal</u> angles to equal
. Thus an <em>equilateral triangle </em>is a type of triangle with <em>equal lengths of sides</em>, and therefore equal internal angles.
<u>Comparison</u>: i. The two shapes have <em>equal lengths</em> of sides.
ii. An equilateral triangle and a square are examples of <u>plane shapes</u>.
<u>Contrast</u>: i. An equilateral triangle has<em> three sides</em>, while a square has <em>four sides</em>.
ii. An equilateral triangle has <em>three internal angles</em>, while a square has <em>four internal angles</em> which are right angles.
iii. The sum of <u>internal </u>angles of an equilateral triangle is
, while that of a square is
.
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3x+5x-12=180
8x=180+12
8x=192
x=192/8
x=24
angle 1 = 5x-12
=5(24)-12
=120-12
=108
angle 2= 3x =3*24=72
angle 1 = angle 9
angle 9= 108
1. All whole numbers (0, 1, 2,...) and their negative equivalent ( -1, -2, -3, ...) are considered integers. Hence, from the choices provided, the answer would be A.
2. Real numbers consist of rational and irrational numbers. So the statement "Every real number is a rational number" is not correct. Thus, the answer is D.
3. 5.85, 63.4, and 27.5 are terminating decimals. This means that they have a fixed decimal conversion and does continue endlessly. Meanwhile, for 8.52624 . . ., its digit goes on forever. So, odd one out would be C.
4. Irrational numbers are those that cannot be expressed as the ratio of two numbers. Examples for this would be the value of the constant e, √2, etc. Rational numbers, on the other hand, are numbers that can be expressed as ratio of two numbers. As can be seen irrational and rational numbers are opposite of ech other, by definition. Hence, irrational numbers cannot be classified as rational numbers. That will give an answer of E.
5. From the previous items, we can see that both rational and irrational numbers are part of the real number system. This means that every irrational number is a real number. Hence, the answer is C.
<span>Answers: A, D, C, E, C </span>
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