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2 years ago

Point P is located at (-3,5)

Mathematics

1 answer:

Naya [18.7K]2 years ago

5 0

Answer:

P' (- 7, - 5 )

Step-by-step explanation:

A translation of 3 units to the left means subtractin 3 from the x- coordinate with no change to the y- coordinate, thus

P(- 3, 5 ) → (- 3 - 4, 5 ) → (- 7, 5 )

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(- 7, 5 ) → P'(- 7, - 5 )

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Gre4nikov [31]

Answer: point form (-1,-2)

Equation form x=-1 y=-2

Step-by-step explanation:

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2 years ago

A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(

alekssr [168]

Answer:

$\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right)$ or approximately (0.544, 4.179)

Step-by-step explanation:

A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

$\displaystyle\\f(x)=\sqrt{x}-x+4\\f'(x)=\frac{1}{2}\cdot\frac{1}{\sqrt{x}}-1=\frac{1}{2\sqrt{x}}-1$

Set $f'(x)$ equal to 8/7 and solve for x:

$\displaystyle \\\frac{1}{2\sqrt{x}}-1=\frac{8}{7},\\x=\frac{49}{900}$

Therefore, $f(x)$ will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into $f(x)$ to get the y-coordinate:

$\displaystyle\\y=\sqrt{x}-x+4 \vert_{x=49/900}=\frac{3761}{900}$

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)

5 0

2 years ago

By what percent will a fraction increase if its numerator is decreased by 30%

Nadya [2.5K]

Answer:

40%

Step-by-step explanation:

Let x = numerator

Let y = denominator

$\implies \dfrac{x}{y}$

Decreased by 30% = 100% - 30% = 70% = 70/100 = 0.7

Decreased by 50% = 100% - 50% = 50% = 50/100 = 0.5

$\implies \dfrac{0.7x}{0.5y}$

$\implies \dfrac{0.7}{0.5}=1.4$

$\implies 1.4 \ \dfrac{x}{y}$

1.4 as a percentage = 1.4 x 100 = 140%

Therefore, the percentage increase is 140 - 100 = 40%

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1 year ago

Carla gets a 96% on a 50 question test . What what fraction of the answers did she get wrong?

LenKa [72]

Hello!

To find this out, figure out the amount of questions she got correct..

To get that number, multiply 96% as a decimal, (0.96) by 50.

0.96 * 50 = 48.

Turn 48 into fraction, (over 50)

48/50 is the answer.

Hope this helps!

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3 years ago

Jamal makes $12.00/hour and worked 9 hours today. What is his total pay? Don't forget to calculate overtime pay.

Elanso [62]

Answer:

He made $108 in 9 hours

Step-by-step explanation:

I first multiplied 12 by 9 and got 108

5 0

3 years ago

Read 2 more answers