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2 years ago

7

Es posible dibujar 9 segmentos de línea de manera que cada segmento interseque exactamente 1 de los otros segmentos?

1 answer:

uysha [10]2 years ago

8 0

Answer: No es posible (It is not possible)

Step-by-step explanation:

The question in english is as follows:

Is it possible to draw 9 line segments so that each segment crosses exactly 1 of the other segments?

A necessary condition for two lines to intersect is that they must be in the same plane (they must be coplanar), being their intersection a single point.

Now, if we want several lines to intersect only once, we need to have an <u>even number</u> of line segments. However, this is not the case because <u>9 is odd. </u>

Therefore, it is not possible.

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Can someone please help me with this question

aev [14]

A is x times larger than B
4*10^-3=x times larger than 4*10^-4
4*10^-3=x*4*10^-4
divide both sides by 4
10^-3=x*10^-4
divide both sides by 10^-4
10^1=x
10^1=10
answer is 10 times or C

5 0

3 years ago

Let a=3/5 and let b=2/3. Compute a^2b^-3.

Amanda [17]

Answer: 81/100

Step-by-step explanation:

I don't guarantee you I am right but..

first, solve for the exponents after substituting the numbers in

3/5 x 3/5 is 9/25

since b's exponent is negative, you change the fraction into its reciprocal and then do it with the exponent but positive

2/3^-3 to 3/2^3 and 3/2 x 3/2 is 9/4

then you mutiply both numbers to get 9/4 x 9/25 is 81/100

7 0

1 year ago

If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193 how much was your original deposit? 29 Origin

Wittaler [7]

Answer:

The original amount deposit is $1641627.68.

Step-by-step explanation:

Given : If your balance after 8 years in the bank at a rate of interest of 11%% is 3783193.

To find : How much was your original deposit?

Solution :

Applying interest formula,

$A=P(1+r)^t$

Where, A is the amount i.e. A=$3783193

P is the principal value i.e. the original deposit

r is the interest rate r=11%=0.11

t is the time t=8 years.

Substitute the value in the formula,

$3783193=P(1+0.11)^8$

$3783193=P(1.11)^8$

$3783193=P\times 2.30$

$P=\frac{3783193}{2.30}$

$P=1641627.68$

Therefore, The original amount deposit is $1641627.68.

3 0

2 years ago

What is the value of the exponential expression below?

dimaraw [331]

Answer:

the answer is D which is 6

7 0

2 years ago

Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC

e-lub [12.9K]

Answer:

$DC=\frac{8}{3}\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

so

<em>In the right triangle ABM</em>

Applying the Pythagorean Theorem

$BM^2=AB^2-AM^2$

we have

$AB=5\ units\\AM=x\ units$

substitute

$BM^2=5^2-x^2$

$BM^2=25-x^2$ -----> equation A

<em>In the right triangle BMC</em>

Applying the Pythagorean Theorem

$BM^2=BC^2-MC^2$

we have

$BC=7\ units\\MC=AC-AM=(9-x)\ units$

substitute

$BM^2=7^2-(9-x)^2$

$BM^2=49-(81-18x+x^2)$

$BM^2=49-81+18x-x^2$

$BM^2=-x^2+18x-32$ ----> equation B

equate equation A and equation B

$-x^2+18x-32=25-x^2$

solve for x

$18x=25+32\\18x=57\\\\x=\frac{57}{18}$

Simplify

$x=\frac{19}{6}$

<em>Find the length of DC</em>

$DC=AC-2x$

substitute the given values

$DC=9-2(\frac{19}{6})$

$DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units$

8 0

3 years ago