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KATRIN_1 [288]
2 years ago
15

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb

er b varies directly with the number a. For example b = 2a equals negative 2 and StartFraction 3 Over 4 EndFraction. when a = –2a equals negative 2 and StartFraction 3 Over 4 EndFraction.. Which equation represents this direct variation between a and b?
Mathematics
1 answer:
vfiekz [6]2 years ago
5 0

Answer:

b

Step-by-step explanation:

Guest
1 year ago
actually its A
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Solve 3x + 2 = 15 for x using the change of base formula log base b of y equals log y over log b. −1.594 0.465 2.406 4.465
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<u>Answer:</u>

The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.

<u>Solution:</u>

Given, expression is 3^{(x+2)}=15

We have to solve the above expression using change of base formula which is given as

\log _{b} a=\frac{\log a}{\log b}

Now, let us first apply logarithm for the given expression.

Then given expression turns into as, x+2=\log _{3} 15

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Hence, the value of x is 0.465 approximately and second option is correct one.

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at the track meet Jacob and Daniel compete in the 220m- hurdles Daniel finishes in 3 fourths of a minute. Jacob finishes with 5
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What is the area of △FGH to the nearest tenth of a square meter? The image is of a triangle GHF with base GH length 2m, FG is 2.
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First, we are going to use the law of cosines to find the length of the line segment FH:
FH= \sqrt{2.5^{2}+2^{2}-(2)(2.5)Cos(121)}
FH= \sqrt{2.5^{2}+2^{2}-5Cos(121)}
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Next, we are going to use the semi-perimeter formula: s= \frac{GH+FG+FH}{2}
s= \frac{2+2.5+3.2}{2}
s= \frac{7.7}{2}
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Now that we have the semi-perimeter of our triangle, we can find its area using Heron's formula:
A= \sqrt{s(s-GH)(s-FG)(s-FH)}
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We can conclude that the area of the triangle <span>GHF is 2.7 </span>m^{2}.

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