HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Natalka [10]3 years ago

8 0

The answer is -1,359. Hope that works.

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Find the two square roots of 144.

spin [16.1K]

Answer:

The square root function

sqrt(144) or √144 produces a single positive value, 12.

However if you have an equation

x² = 144, then you have two possible values for x, 12 and -12.

Two ways to look at it.

x² - 144 = 0

Difference of two squares

(x+12)(x-12) = 0

x = -12, 12

x² = 144

x = ±√144

x = ±12

x = -12, 12

4 0

3 years ago

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What is 4 - 7/4x = 1/2? Solve for x.

tia_tia [17]

When evaluating, you must combine like terms first, so subtract 4 from 1/2 then multiply that number by -7/4, this will give you the value of x.

4 0

3 years ago

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The question is the picture thanks for helping

Vedmedyk [2.9K]

Answer:

Answer is option b)

Answer is given below with explanations.

Step-by-step explanation:

$a \: walking \: path \: is \: represented \: by \: \\ y = - 4x - 6 \\ 4x + y + 6 = 0 \\ given \: that \\ a \: new \: path \: will \: be \: built \: perpendicular \\ \: to \: \: the \: walking \: path \\ the \: equation \: of \: the \: line \: perpendicular \: to \\ 4x + y + 6 = 0 \: is \\ x - 4y + k = 0 \\ since \: it \: passes \: through \: ( - 4,10) \\ substitute \: x \: = - 4\: and \: y = 10 \: in \: required \: equation \\ - 4 - 4(10) + k = 0 \\ k = 44 \\ then \: the \: equation \: is \\ x - 4y + 44 = 0 \\ adding \: 4y \: on \: both \: sides \\ x + 44 = 4y \\ dividing \: by \: 4 \: on \: both \: sides \\ y = \frac{x}{4} + 11 \\ y = \frac{1}{4} x + 11 \\ so \: the \: answer \: is \: option \: b) \: \frac{1}{4} x + 11$