1.) Find the equation of the line perpendicular to y = 4x - 2 that passes through (3, -1).

Mathematics

1 answer:

aliya0001 [1]3 years ago

8 0

Answer:

work is shown and pictured

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Describe whether the equation y-3x=7 is a function

Gala2k [10]

y - 3x = 7

can be written as

y = 3x + 7

For every value of x there is a unique value of y. For example when x = 0 y = 3(0) + 7 = 7

Yes it is a function.

In particular it is a one-to-one function.

8 0

3 years ago

Ajax is 5 and 1 fourth feet tall. His sister is 3 eighths foot shorter than Ajax How tall is Ajax Sister?

user100 [1]

Answer:

$4\frac{3}{4}$ feet tall

Step-by-step explanation:

Ajax is "5 and 1 fourth feet tall", which can be written as the mixed number $5\frac{1}{4}$ .

His sister is "3 eighths foot shorter", so she's 3/8 feet shorter than 5 1/4.

So, this is just a subtraction problem:

$5\frac{1}{4} -\frac{3}{8}$

To solve this, we want to convert 5 1/4 into an improper fraction, which is: $\frac{21}{4}$ . Now, we want to find a common denominator. In this case, that common denominator is 8, so $\frac{21}{4} =\frac{42}{8}$ .

Finally, we subtract 3/8 from 42/8: $\frac{42}{8} -\frac{3}{8} =\frac{39}{8}$ . So, Ajax's sister is 39/8 feet. Converting this into a mixed number, we have: 39/8 = 4 $\frac{6}{8} =4\frac{3}{4}$ .