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Elis [28]
3 years ago
6

Is this relation a function?

Mathematics
1 answer:
Sliva [168]3 years ago
3 0

Answer:

True

Step-by-step explanation:

First two points are inverse of last two points, all points reflects each other over y = -x

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Which sequence are geometric? Check all that apply
Ann [662]

Answer:

<h2>10, 7.5, 5.625, 4.21875, ...</h2><h2>160, 40, 10, 2.5, ...</h2><h2>20, 70, 245, 857.5, ...</h2><h2>5, 5.5, 6.05, 6.655, ...</h2>

Step-by-step explanation:

\text{If}\ a,\ b,\ c,\ d,\ e,\ ...\ \text{is a geometric sequence, then}\ \dfrac{b}{a}=\dfrac{c}{b}=\dfrac{d}{c}=\dfrac{e}{d}=....\\\\\#1\\\\\dfrac{7.5}{10}=0.75\\\dfrac{5.625}{7.5}=0.75\\\dfrac{4.21875}{5.625}=0.75\\\boxed{YES}\\================================\\

\#2\\\\\dfrac{40}{160}=\dfrac{1}{4}\\\dfrac{10}{40}=\dfrac{1}{4}\\\dfrac{2.5}{10}=\dfrac{1}{4}\\\boxed{YES}\\================================\\

\#3\\\\\dfrac{70}{20}=3.5\\\dfrac{245}{70}=3.5\\\dfrac{857.5}{245}=3.5\\\boxed{YES}\\================================\\

\#4\\\\\dfrac{16.5}{13}=\dfrac{165}{130}=\dfrac{33}{26}\\\dfrac{20}{16.5}=\dfrac{200}{165}=\dfrac{40}{33}\neq\dfrac{33}{26}\\\boxed{NO}\\================================\\

\#5\\\\\dfrac{5.5}{5}=1.1\\\dfrac{6.05}{5.5}=1.1\\\dfrac{6.655}{6.05}=1.1\\\boxed{YES}\\================================\\

\#6\\\\\dfrac{17.1}{16}=1.06875\\\dfrac{18.2}{17.1}=1.0643274..\neq1.06875\\\boxed{NO}

5 0
3 years ago
What is the probability that the first marble is blue and the second marble is yellow?
Cloud [144]

Answer:

\frac{1}{14}

Step-by-step explanation:

<u><em>First time drawing:</em></u>

Total outcome is 8

Favorable outcome is 2

The probability that the first marble drawing in random is blue is

\frac{2}{8} = \frac{1}{4}

<u><em>Second time drawing (with no replacement): </em></u>

Total outcome is 7  (8 - 1 = 7)  

Favorable outcome is 2

The probability that the second marble drawing in random is yellow is

\frac{2}{7}

<em>The probability that the first marble is blue and the second marble is yellow is</em> \frac{1}{4} × \frac{2}{7} = \frac{2}{28} = \frac{1}{14}

5 0
3 years ago
Help me to answer this question pl​s
attashe74 [19]

Problem 1

Draw a straight line and plot P anywhere on it. Use the compass to trace out a faint circle of radius 8 cm with center P. This circle crosses the previous line at point Q.

Repeat these steps to set up another circle centered at Q and keep the radius the same. The two circles cross at two locations. Let's mark one of those locations point X. From here, we could connect points X, P, Q to form an equilateral triangle. However, we only want the 60 degree angle from it.

With P as the center, draw another circle with radius 7.5 cm. This circle will cross the ray PX at location R.

Refer to the diagram below.

=====================================================

Problem 2

I'm not sure why your teacher wants you to use a compass and straightedge to construct an 80 degree angle. Such a task is not possible. The proof is lengthy but look up the term "constructible angles" and you'll find that only angles of the form 3n are possible to make with compass/straight edge.

In other words, you can only do multiples of 3. Unfortunately 80 is not a multiple of 3. I used GeoGebra to create the image below, as well as problem 1.

8 0
2 years ago
two triangles have the same heights one triangle has a base that is four times the base of the other triangle are the bases and
OlgaM077 [116]

Answer:

Yes

Step-by-step explanation:

The formula for area of a triangle is A = (1/2)bh,

For the first triangle we can leave it in general terms, so it's area is

A = (1/2)bh, depending on what b and h are, but it doesn't matter here...

The second triangle has base that is twice the other triangles base.  Bases being multiples of each other is the definition of being proportional so the bases are proportional, an the area of the second triangle is

A = (1/2)(2b)h,   which simplifies to

  A = bh

Comparing the 2 areas, you can see that one has a multiplier of (1/2), so their areas are proportional

5 0
2 years ago
2. Which interval notation represents the set of all real
anygoal [31]
B. (2,20] is the correct answer
3 0
2 years ago
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