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UNO [17]
3 years ago
12

Which of the following shows the correct order for -1 2/5, (-1)², -1.4 repeating and (1/2)²

Mathematics
1 answer:
lukranit [14]3 years ago
4 0

Answer:

<h2>b. -1.4 repeating<-1 2/5<(1/2)²<(-1)²</h2>

Step-by-step explanation:

Calculate and convert the fractions (mixed number) to the decimals:

-1\dfrac{2}{5}=-1\dfrac{2\cdot2}{5\cdot2}=-1\dfrac{4}{10}=-1.4\\\\(-1)^2=(-1)(-1)=1\\\\-1.4444...\\\left(-\dfrac{1}{2}\right)^2=\left(-\dfrac{1}{2}\right)\left(-\dfrac{1}{2}\right)=\dfrac{1}{4}=\dfrac{1\cdot25}{4\cdot25}=\dfrac{25}{100}=0.25

We have

-1.4;\ 1,\ -1.444...,\ 0.25

Therefore

-1.444...

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Step-by-step explanation:

7 0
2 years ago
Is RS perpendicular to DF? Select Yes or No for each statement. R (6, −2), S (−1, 8), D (−1, 11), and F (11 ,4) R (1, 3), S (4,7
guajiro [1.7K]

I'll do the first one to get you started.  

Find the slope of the line between R (6,-2) and S (-1,8) to get

m = (y2-y1)/(x2-x1)

m = (8-(-2))/(-1-6)

m = (8+2)/(-1-6)

m = 10/(-7)

m = -10/7

The slope of line RS is -10/7

Next, we find the slope of line DF

m = (y2 - y1)/(x2 - x1)

m = (4-11)/(11-(-1))

m = (4-11)/(11+1)

m = -7/12

From here, we multiply the two slope values

(slope of RS)*(slope of DF) = (-10/7)*(-7/12)

(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)

(slope of RS)*(slope of DF) = 10/12

(slope of RS)*(slope of DF) = 5/6

Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.

I'll let you do the two other ones. Let me know what you get so I can check your work.

3 0
2 years ago
Help...(MATH).......
Hitman42 [59]

If f(x) = √x and g(x) = 7x + b, then

f(g(x)) = f(7x + b) = √(7x + b)

If the plot of f(g(x)) passes through (4, 6), then

f(g(4)) = √(7•4 + b) = √(28 + b) = 6

Solve for b :

√(28 + b) = 6

(√(28 + b))² = 6²

28 + b = 36

b = 36 - 28

b = 8

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2 years ago
Given the piecewise function shown below , select all of the statements that are true.
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3 years ago
Simplify each expression.
Vlad [161]

Answer:

The answer is:

32x+12y

Step-by-step explanation:

Because 4 times 8 =32 and 4 times 3 =12

5 0
3 years ago
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