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3 years ago

6

The equation of line j is y= negative x + 3/8 line k which is perpendicular to line j, includes the point (negative 2, 7) what i

s the equation of line k?

1 answer:

photoshop1234 [79]3 years ago

4 0

Line j is negative and line k is postive so you combine hem in like terms to solve them

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Mr. Walker drove for 4 hours at an average rate of 48 miles per hour. How far did he drive ( here's my Buber so you can help mor

GaryK [48]

He drove = 48 * 4 = 192 miles

Hope it helps!

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3 years ago

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If your truck gets 22 highway miles per gallon and has a 25 gallon gas tank, how many miles should you be able to drive on a ful

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Answer:

550 should be correct

Step-by-step explanation:

do 22 times 25

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Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{8},0)(± 8 ,0)(, plus minus, square root o

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Answer:

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

Step-by-step explanation:

given the foci of ellipse (±√8,0) and c0-vertices are (0,±√10)

The foci are (-C,0) and (C ,0)

Given data (±√8,0)

the focus has x-coordinates so the focus is lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so c0-vertices are (0,±√10)

given focus C = ae = √8

Given co-vertices ( minor axis) (0,±b) = (0,±√10)

b= √10

The relation between the focus and semi major axes and semi minor axes are $c^2=a^2-b^2$

$a^{2} = c^{2} +b^{2}$

$a^{2} = (\sqrt{8} )^{2} +(\sqrt{10} )^{2}$

$a^{2} =18$

$a=\sqrt{18}$

The equation of ellipse formula

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

we know that $a=\sqrt{18} and b=\sqrt{10}$

<u>Final answer:</u>-

<u>The equation of ellipse centered at the origin</u>

<u /> $\frac{x^2}{18} +\frac{y^2}{10} =1$ <u />

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The first thing we are going to do to find the total cost of the meal before tax:

Total cost before tax = $8.99 + 2($14.99) + $12.99 + 3($1.99)

Total cost before tax = $8.99 + $29.98 + 12.99 + $5.97

Total cost before tax = $57.93

Regarding the 15% gratuity, remember that the unofficial rule for tipping at restaurants is to tip according to the actual value of the meal and not the tax, so we calculate the value of the tip first, and then we add it to the total at the end of our calculations.

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Now, lets calculate the tax

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Total cost = $57.93 + $8.69 + $4.34 = $70.96

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