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3 years ago

8

What is the distance from ( -3 4 ) to ( 4 , -3)?

1 answer:

Hoochie [10]3 years ago

5 0

Answer:

Answer:

Exact form: 7√2

Decimal form: 9.89949493

Step-by-step explanation:

Also i'm going to assume you meant (-3, 4) instead of

"( -3 4 )."

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If it 8 inch candle burns at 7/10 inch per hour and a 6 inch candle Burns at 1/5 inch per hour after how many hours would both c

zavuch27 [327]

We must solve

$8 - \frac{7}{10}x = 6 - \frac{1}{5}x \\ or \\ 80 - 7x = 60 - 2x \\ now \\ 20 = 5x \: so \: x = 4 \\$
Means the candles will be the same size in 4 hours

8 0

3 years ago

Find the equation of the tangent line to the curve y equals left parenthesis x minus 3 right parenthesis superscript 7 baseline

Rashid [163]

We have been given the expression to be $y=(x-3)^7(x+1)^2$

Since we need to find the tangent at a point, we will have to find the derivative of $y$ as the slope of the tangent at a given point on the curve is always equal to value of the derivative at that point.

Thus, we have to find $\frac{dy}{dx}=\frac{d}{dx} (x-3)^7(x+1)^2$

We will use the product rule of derivatives to find $\frac{dy}{dx}$

Thus, $y'=7(x-3)^6(x+1)^2+(x-3)^7\times2(x+1)$ (using the product rule which states that $(fg)'=f'g+fg'$ )

Taking the common factors out we get:

$y'=(x-3)^6(x+1)(7(x+1)+2(x-3))$

$y'=(x-3)^6(x+1)(7x+7+2x-6)=(x-3)^6(x+1)(9x+1)$

Thus, $y'$ at $x=4$ is given by:

$y'_{x=4}$ =Slope of the tangent of y at x=4= $m$

Thus, $m=(4-3)^6(4+1)(9\times4+1)=185$

Now, the equation of the tangent line which passes through $(x_{1}, y_{1})$ and has slope m is given by:

$y-y_{1}=m(x-x_{1})$

Thus, the equation of the tangent line which passes through $(4,25)$ and has the slope 185 is $y-25=185(x-4)$

Which can be simplified to $y=185x-740+25=185x-715$

Thus, $y=185x-715$

This is the required equation of the tangent.

3 0

3 years ago

Which expression is equivalent to -3(4x - 2)- 2x

nadezda [96]

Answer:

-12X+6+6x

Step-by-step explanation:

8 0

3 years ago

Ralphie's dad has a nutritionist who instructed him to consume less than 2,147 calories per day. He has already consumed 1,575 c

REY [17]

Answer:

Ralphie's dad can eat 8 fruit bars without going over his calorie allotment.

Step-by-step explanation:

Given,

Per day calorie intake limit = less than 2126 calories

Calories are already taken = 1586 calories

Calories in each fruit bar = 66 calories

Let,

x be the number of fruit bars that Ralphie's dad can consume.

Calories in each fruit bar*Number of fruit bars + calories already taken < per day limit

Dividing both sides by 66

5 0

2 years ago

Fives times a number decreased by 6 is 29

Lapatulllka [165]

Answer:

The number is 59/5 or 11.8 (decimal)

Step-by-step explanation:

This sentence can be written as 5(x-6)=29

x-6 = 29/5

x = 29/5 + 6

x = 59/5 or x = 11.8

8 0

3 years ago

Read 2 more answers