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3 years ago

If f(x)=x^2 - 3 and f(a)=46, what is the value of a? explain

1 answer:

8 0

You are trying to find what x to put into f(x) to get out 46. To do this, solve the following equation.
$x^{2} -3 = 46$
$x^2 = 49$
$x^2 = \sqrt{49}$
Therefore x = 7 or x = -7

-7, 7

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The distance between Point A (a, b) and Point C (c,d) can be found by using which formula?â€‹

Paraphin [41]

Answer:

d = √[(a-c)^2 + (b-d)^2]

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2 years ago

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3 years ago

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Find the distance between the two points and simplest rational form (3,-4) (6,-7))

pychu [463]

Answer:

$D = 3\sqrt{2}$

Step-by-step explanation:

Given

$(x_1,y_1) = (3,-4)$

$(x_2,y_2) = (6,-7)$

Required

Determine the distance between the two points

Distance (D) is calculated as:

$D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Substitute values for x's and y's

$D = \sqrt{(6 - 3)^2 + (-7 - (-4))^2}$

$D = \sqrt{(6 - 3)^2 + (-7 +4)^2}$

$D = \sqrt{(3)^2 + (-3)^2}$

$D = \sqrt{9+9}$

$D = \sqrt{18}$

Express as 9 * 2

$D = \sqrt{9*2}$

Split:

$D = \sqrt{9}*\sqrt{2}$

$D = 3*\sqrt{2}$

$D = 3\sqrt{2}$

4 0

2 years ago

For what value of x is line a parallel to line b?<br><br> (Yo, please help me so I can go to sleep.)

iogann1982 [59]

X=20

If they're parallel the other number in the same spot as 5x+15 equals that, so 5x+15=115 because if they are parallel they're the same if same spot and same line going through them.

115-15 = 100
5x=100
Divide by 5 both sides
X=20

If x=20 then these lines would be parallel

6 0

3 years ago

How can you use the DISTRIBUTIVE PROPERTY solve the equation: 3(x-4) = 24 ? *

guapka [62]

By using the Distributive Property, you would multiply 3 into the parenthesis (3 · x and 3 · -4)

3(x - 4) = 24

3x - 12 = 24

Then, you would solve like any normal one-step equation.

3x - 12 = 24

+12 +12

__________

3x 36

__ = __

3 3

x = 12, which is your final solution.

If you need any further explanations, please ask me :)

7 0

2 years ago

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