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11 months ago

Which of the following absolute value equations has no solutions?Group of answer choices

Mathematics

1 answer:

Amiraneli [1.4K]11 months ago

3 0

The absolute value measures the distance a number is away from the origin (zero) on the number line. A number can be to the left or right of zero on the number line, but the distance away from zero is always positive. Graphically:

In other words:

• If d is positive and

$\begin{gathered} |x|=d \\ \text{ then} \\ x=d\text{ or }x=-d \end{gathered}$

• If d is negative and

$\begin{gathered} |x|=-d \\ \text{then} \\ \text{ No solution, because distance (d) can not be negative.} \end{gathered}$

Therefore, the equation that has no solutions is:

$\boldsymbol{|x|=-3}$

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In triangle abc, the angle c is six times as large as angle

mote1985 [20]

The interior angles of a triangle add up to 180 degrees

a = 1st angle, b = 2nd angle, c = 3rd angle

c = 6a
b = a + 60
a + b + c = 180

a + (a + 60) + (6a) = 180
8a + 60 = 180
8a = 180 - 60
8a = 120
a = 120/8
a = 15 <=== here is one angle

b = a + 60
b = 15 + 60
b = 75 <=== and another one

c = 6a
c = 6(15)
c = 90 <=== and the last angle

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2 years ago

Find the area of following rhombuses. Round your answers to the nearest tenth if necessary.

polet [3.4K]

Answer:

$Area =55.4ft^2$

Step-by-step explanation:

Given

The attached rhombus

Required

The area

First, calculate the length of half the vertical diagonal (x).

Length x is represented as the adjacent to 60 degrees

So, we have:

$\tan(60) = \frac{4\sqrt 3}{x}$

Solve for x

$x = \frac{4\sqrt 3}{\tan(60)}$

$\tan(60) = \sqrt 3$

So:

$x = \frac{4\sqrt 3}{\sqrt 3}$

$x = 4$

At this point, we have established that the rhombus is made up 4 triangles of the following dimensions

$Base = 4\sqrt 3$

$Height = 4$

So, the area of the rhombus is 4 times the area of 1 triangle

$Area = 4 * \frac{1}{2} * Base * Height$

$Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4$

$Area =2 * 4\sqrt 3 * 4$

$Area =55.4ft^2$

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3 years ago

Which has the least absolute value? A. 5 B. 30 C. -10 D. -50

ziro4ka [17]

Absolute value means the total distance from zero. So you get rid of any negative signs and then look at which number has the lowest value (which is the smallest number without any negative signs).

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2 years ago

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Sam needs a web designer. Designer A is offering her services for an initial $450 in addition to $105 per hour. Designer B is of

gogolik [260]

Answer:

After 5 hours the two would charge the same amount of money.

Step-by-step explanation:

Designer A: $450 + ($105/hr)x, where x is the number of hours worked;

Designer B: $725 + ($50/hr)x

Equating these two formulas, we get:

$450 + ($105/hr)x = $725 + ($50/hr)x

Subtracting $450 from both sides: ($55/hr)x = $275

Dividing both sides by $55 yields the number of hours worked:

x = $275/$55 = 5

After 5 hours the two would charge the same amount of money.

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2 years ago

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What are the effects of different operations on rational and irrational numbers?

lara31 [8.8K]

Answer:

An irrational number is a number that is not rational that means it is a number that cannot be written in the form

. An irrational Number is a number on the Real number line that cannot be written as the ratio of two integers. They cannot be expressed as terminating or repeating decimals. For example.

Pi = 3.14…..It continues forever and never repeats. The few digits of this pattern look like 3.1415926535897932384626433832795

√3 = 1.732050807. So one of the most important thing about irrational numbers is that it never repeats and never terminates.

Step-by-step explanation:

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2 years ago