Simplify 12 - (-8) ×5 = ? A 16 B 44 C -20 D 80

Given the numbers c = –3 and d = 4, which statement is true? A. |–c| = 3 and |–d| = –4 B. |–c| = 3 and –|d| = –4 C. –|c| = –4 an

kirill [66]

Answer:

D. |–c| = 3 and –|d| = 4

Step-by-step explanation:

We are given these values of two variables and asked which of the statements in the given options is true:

c = –3 and d = 4

In mathematics, we know that the absolute value or modulus of a real number x is the non-negative value of x despite of whatever sign it has, positive or negative.

Therefore, the modulus of c |–c| = 3 and modulus of –|d| = 4 so option D is the correct one.

5 0

3 years ago

Is 3^100/3^99 greater than,less than, or equal to 3??

oksian1 [2.3K]

Answer:

$\frac{3^{100}}{3^{99}} = 3$

Step-by-step explanation:

$\frac{a^{m}}{a^{n}}=a^{m-n}, m>n\\\\$

Therefore,

$\frac{3^{100}}{3^{99}}=3^{100-99}=3^{1}=3\\\\\frac{3^{100}}{3^{99}} = 3$

6 0

3 years ago

Need help with this slide about proofs explanation would be nice aswell.

Sunny_sXe [5.5K]

Answer:

1. AB ~= DF

2. Definition of Congruent

3. Reflexive Property of Congruency

4 BD=BD

6. AB+BD=AD; DF+BD=BF

7. Substitution Property of Equality

8. Definition of Congruent

Step-by-step explanation:

1. The given always goes first, and that's the first reason, so AB ~= DF must be the first statement (that should be the congruency symbol).

2. The definition of congruent is that if they are congruent then they are equal. Since that statement made two congruent lines equal, it must be the definition.

3. The reflexive property means something is congruent to itself, and BDis BD, therefore it is the reflexive property.

4. Remember if something is congruent then it is equal.

6. The segment addition postulate states that if we are given two points on a line segment, then AB+AC=AC.

7. In this statement AD was substituted for DF+BD. This can be done because of AB=DF and BD=BD as aforementioned.

8. If two things are congruent then they are equal by definition of congruency.

6 0

3 years ago

What the slope of 3,4 7,-4

Trava [24]

Answer: The slope is -2

5 0

3 years ago

Long Division: (3x^4-8x^3-x^2+9x+5) / (x-2) pleaseee answer this

Drupady [299]

3x⁴ = 3x³ • x, and

3x³ (x - 2) = 3x⁴ - 6x³

Subtract this from the numerator to get a remainder of

(3x⁴ - 8x³ - x² + 9x + 5) - (3x⁴ - 6x³) = -2x³ - x² + 9x + 5

-2x³ = -2x² • x, and

-2x² (x - 2) = -2x³ + 4x²

Subtract this from the previous remainder to get a new remainder of

(-2x³ - x² + 9x + 5) - (-2x³ + 4x²) = -5x² + 9x + 5

-5x² = -5x • x, and

-5x (x - 2) = -5x² + 10x

Subtract this from the last remainder to get a new one of

(-5x² + 9x + 5) - (-5x² + 10x) = -x + 5

-x = -1 • x, and

-1 (x - 2) = -x + 2

This gives a new remainder of

(-x + 5) - (-x + 2) = 3

3 does not divide x, so we're done.

So, we have

(3x⁴ - 8x³ - x² + 9x + 5) / (x - 2) = 3x³ - 2x² - 5x - 1 + 3/(x - 2)

7 0

3 years ago

Simplify 12 - (-8) ×5 = ?A 16B 44C -20D 80