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4 years ago

Which inequality is true? Use the number line to help

Mathematics

1 answer:

wlad13 [49]4 years ago

5 0

Answer:

Option D.

Step-by-step explanation:

In order to resolve this problem, we are going to transform every fraction on a decimal number.

A) $2\frac{1}{2}$ is a mixed fraction. To get a proper fraction, we let the denominator as 2, and to get the numerator we multiply 2 by 2, and we add 1, as seen on the attached picture.

So:

$2\frac{1}{2}=\frac{5}{2}$

We divide 5 by 2 and we get 2,5.

So, the first option is not true, as 1.5 is smaller than 2,5.

B) We divide 1 by 2 and get 0,5. They are equal numbers, we can't say that 0,5 is bigger than 0,5.

C) -2.5 is smaller than -1,5 so this option is not true.

D) $-3\frac{1}{2}=\frac{-7}{2}$

We divide 7 by 2 and we get -3,5. In fact, -3,5 is bigger than -4.5, as there is a major distance from this negative number to cero.

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Radical Rational Exponents and with work. PLZ

zzz [600]

Your answer should be 3)-3

7 0

3 years ago

Giving Brainliest! No bots or using for points or I’ll report you. This is really needed!

AlexFokin [52]

Answer:

1.) L=5 W=4 H=1. 2.)L=5 W=4 H=2. 3.)L=5 W=4 H=5

Step-by-step explanation:

you look at the sides and the front and count the cubic units

5 0

3 years ago

Read 2 more answers

My grandson thinks he can cook better than any other

Molodets [167]

The answer is (B). Employing a comma to separate two independent phrases connected by the conjunction "and," avoids the mistake of the original.

<h3>What are jumbled words?</h3>

The reason was given for Wrong Answer A: Incorrect coordination is present in Option (A). Where a comma is required, a semicolon is used instead.

The reason was given for the Wrong Answer C: The sentence produced by option (C) is illogical. It illogically implies that the grandson's success in winning blue ribbons is due to his belief that he is the fair's top chef.

Justification for Wrong Answer D: In the case of option (D), the sentence is irrational. The initial portion of the line, "To think... fair," and the latter section of the sentence has no connection to one another ("my grandson . . . to prove it.").

Justification for Wrong Answer E: The sentence produced by option (E) is irrational. It is illogical to claim that the grandson's blue ribbons demonstrate that he was "thinking he can cook better... fair."

To learn more about it jumbled words, visit:

brainly.com/question/16029795

#SPJ4

4 0

1 year ago

An equation of a hyperbola is given.

siniylev [52]

Answer:

The vertices are $\left(3,\:0\right),\:\left(-3,\:0\right)$ .

The foci are $\left(3\sqrt{5},\:0\right),\:\left(-3\sqrt{5},\:0\right)$ .

The asymptotes are $y=2x,\:y=-2x$ .

b) The length of the transverse axis is 6.

c) See below.

Step-by-step explanation:

$\frac{\left(x-h\right)^2}{a^2}-\frac{\left(y-k\right)^2}{b^2}=1$ is the standard equation for a right-left facing hyperbola with center $\left(h,\:k\right)$ .

The vertices $\:\left(h+a,\:k\right),\:\left(h-a,\:k\right)$ are the two bending points of the hyperbola with center $\:\left(h,\:k\right)$ and semi-axis a, b.

Therefore,

$\frac{x^2}{9}-\frac{y^2}{36}=1$ , is a right-left Hyperbola with $\:\left(h,\:k\right)=\left(0,\:0\right),\:a=3,\:b=6$ and vertices $\left(3,\:0\right),\:\left(-3,\:0\right)$ .

For a right-left facing hyperbola, the Foci (focus points) are defined as $\left(h+c,\:k\right),\:\left(h-c,\:k\right)$ where $c=\sqrt{a^2+b^2}$ is the distance from the center $\left(h,\:k\right)$ to a focus.

Therefore,

$\frac{x^2}{9}-\frac{y^2}{36}=1$ , is a right-left Hyperbola with $\:\left(h,\:k\right)=\left(0,\:0\right),\:a=3,\:b=6$ $c=\sqrt{3^2+6^2}= 3\sqrt{5}$ and foci $\left(3\sqrt{5},\:0\right),\:\left(-3\sqrt{5},\:0\right)$

The asymptotes are the lines the hyperbola tends to at $\pm \infty$ . For right-left hyperbola the asymptotes are: $y=\pm \frac{b}{a}\left(x-h\right)+k$