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3 years ago

What is the solution to 5x-6y>42

Mathematics

1 answer:

Shalnov [3]3 years ago

6 0

Answer:

y< 5/6 - 7

Step-by-step explanation:

First, you have to send 5x to the other side so youĺl -5x and the equation will be -6y>-5x+42

Then, you divide the equation on the left side by -6 because youll want y by itself. Remember, when you divide by a negative, you flip the greater than/equal to sign. itll now be y<-5/6 - 7

done

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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 50, 60,72,... Find the 8th term.

Vadim26 [7]

Answer:

179.159

Step-by-step explanation:

Given the sequence :

50, 60, 72,..

The sequence given is a geometric sequence :

For a geometric sequence ;

ar^(n - 1)

a = first term

r = a2 / a1 = 60 / 50 = 1.2

The 8th term ; n =8

a8 = ar^(n - 1)

a8 = 50*1.2^(8 - 1)

a8 = 50*1.2^7

a8 = 50*3.5831808

a8 = 179.15904

a8 = 179.159 (nearest thousandth )

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3 years ago

Using the image, determine the length of each arc. m RC= m CBR =

Montano1993 [528]

Given:

Given that the measure of ∠CDR = 85°

We need to determine the measure of $\widehat{RC}$ and $\widehat{CBR}$

Measure of arc RC:

Since, we know that if a central angle is formed by two radii of the circle then the central angle is equal to the intercepted arc.

Thus, we have;

$m\angle CDR = m \widehat{RC}$

Substituting the values, we get;

$85^{\circ} = m \widehat{RC}$

Thus, the measure of $\widehat{RC}$ is 85°

Measure of arc CBR:

We know that 360° forms a full circle and to determine the measure of arc CBR, let us subtract the values 360 and 85.

Thus, we have;

$m\widehat{CBR}=360^{\circ}-m \widehat{RC}$

Substituting the values, we have;

$m\widehat{CBR}=360^{\circ}-85^{\circ}$

$m\widehat{CBR}=275^{\circ}$

Thus, the measure of $\widehat{CBR}$ is 275°

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3 years ago

Write a quadratic function that has been translated 1 units to the right and 3 units down.

vodka [1.7K]

Step-by-step explanation:

Hi,

f(x) = (x - 1) - 3

The -1 is the 1 unit to the right (even though it's being subtracted, it's going to the right because it's embedded with the x)

And the -3 is not embedded with the x, meaning the function will move 3 units down.

I hope this helps :)

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Natali [406]

Answer:

$1.94 per square inch

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Does a kilogram have more or less mass than a gram?

maks197457 [2]

More, a kilogram is 1000x the mass of a gram

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