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Vlad [161]
3 years ago
7

What is the exact distance from (_1, 4) to (6, _2)?

Mathematics
2 answers:
Maslowich3 years ago
4 0
D = sqrt((6 - (-1))^2 + (-2 - 4)^2) = sqrt(7^2 + (-6)^2) = sqrt(49 + 36) = sqrt(85) units.
MA_775_DIABLO [31]3 years ago
3 0
Square root 85 
I 
got 
it 
right
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Two lines intersect to form angles 1, 2, 3, and 4 as given. The measure of ∠3 is 38°. What is the measure of ​∠2​ ?
ss7ja [257]

Answer:

142° is the measure of angle 2.

Step-by-step explanation:

When two lines intersect, they make four angles. The angles facing each other are equal.

Let's say that two lines a and b intersected each other to make angles 1,2,3 and 4 respectively.

The measure of angle 3 = 38 degrees.

We know that the angle 1 is against angle 3 and is equal to 38.

Also Angle 2 and Angle 4 are also against each other and are equal let's say equal to x degrees.

Now, the sum of all four angles = 360 degrees

∠1 + ∠2+ ∠3 + ∠4 = 360°

38° + x + 38° + x = 360°

2x = 360° - 76°

2x = 284°

x = 142°

Hence, ∠2 = 142°

3 0
3 years ago
Read 2 more answers
Samuel walks in the Labor Day parade. He walks 3 1/4 miles along the parade route and 2 5/6 miles home. How many miles does Samu
Afina-wow [57]
Find a common denominator which is 12

1*3=3   4*3=12  so 3 3/12

then 5*2=10   6*2=12     so 2 10/12

2 10/12+3 3/12= 5 13/12  

13/12= 1 1/12 plus 5= 6 1/12

so your answer would be 6 1/12
3 0
3 years ago
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Let f and g be the functions defined by f(x) = 10^ (x+2 / 3) and g(x) = log (x3 / 100) for all positive real numbers,
Vaselesa [24]

Answer:

F(x) and g(x) are not inverse functions.

Step-by-step explanation:

In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.

As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.

[tex]y=10^{(x+\frac{2}{3}) }\\\\log y=log 10^{(x+\frac{2}{3}) }\\log y = (x+\frac{2}{3}) . log10\\\frac{log Y}{log10} = (x+\frac{2}{3})\\\frac{log Y}{1} = (x+\frac{2}{3})\\log Y-\frac{2}{3}=x[/tex]

Now we change the variables.

F(x)=log x-\frac{2}{3}

F(x) and g(x) are not inverse functions.

4 0
3 years ago
Find the ratio in simplest form.<br> 30:6
Norma-Jean [14]
5:1 divide both by 6

7 0
3 years ago
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If you ate 1/3 of a pie that is 5/6 how much pie is left
siniylev [52]

Answer: <em>~subtract 1/3 - 5/6 = 4/3 but tats a improper fraction so then you need to simplify and there is your answer 3/4 simple i hope this helped have a nice day (❁´◡`❁)~</em>

Step-by-step explanation:

if you ate 1/3 of a pie that is 5/6 how much pie is left?

5 0
2 years ago
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