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-Dominant- [34]
3 years ago
7

Find the equation of a line that is perpendicular to y = (1/6)x + 4 and passes through the point (3, 8).

Mathematics
2 answers:
NeX [460]3 years ago
8 0

Answer: y=-6x+26

Step-by-step explanation: We can find the slope of a line that is perpendicular to another line by taking the negated reciprocal of the slope of the original line. So our slope for the perpendicular line is: -6. Now we can put this in a equation to find the y-intercept. So the equation is y=-6x+26

patriot [66]3 years ago
7 0

Answer:

Step-by-step explanation:

Answer: y=26−6x

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On a map, 1 inch equals 5.2 miles. Two house are 3.5 inches apart on the map. What is the actual distance between the house?
MissTica

Answer:

18.2 miles

Step-by-step explanation:

simple multiplication:

We know that 1 inch of distance on the map is equal to 5.2 miles.

Using this knowledge we can multiply the amount of inches by the miles per inch.

5.2*3.5=18.2 miles apart

Hope this helps!!

4 0
2 years ago
When asked to write a point-slope equation for the line shown below, a student wrote y-4=2(x-1). How can he fix this to write th
alexgriva [62]
Point - slope form = y - y1 = m(x - x1)
y - 4 = 2(x-1)
6 0
3 years ago
Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ < 360°.)
ddd [48]

6i~~ + ~~2\sqrt{3}j\implies < \stackrel{a}{6}~~,~~\stackrel{b}{2\sqrt{3}} > \\\\[-0.35em] ~\dotfill\\\\ \stackrel{magnitude}{\sqrt{a^2+b^2}}\implies \sqrt{6^2+(2\sqrt{3})^2}\implies \sqrt{36+(2^2\cdot 3)}\implies \sqrt{36+12}\implies \sqrt{48} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{direction}{tan^{-1}\left( \cfrac{b}{a}\right)}\implies tan^{-1}\left( \cfrac{2\sqrt{3}}{6} \right)\implies tan^{-1}\left( \cfrac{\sqrt{3}}{3} \right) \\\\\\ tan^{-1}\left( \cfrac{1}{\sqrt{3}} \right)\implies 30^o

3 0
2 years ago
An economy package of cups has 460 green cups. If the green cups are 20% of the total package, how many cups are in the package?
Oksi-84 [34.3K]
2300 cups because if 460 is 20%, multiply the 460 x 5 to get 100%
3 0
2 years ago
Please help thanks!!
Sidana [21]

So for this, you will be doing two different multiplications: 3 x 4 and √8 x √3.

3 x 4 = 12

√8 x √3 = √24

Now our result is 12√24, however, this can be simplified. Using the product rule of radicals (√ab = √a x √b), our simplification is such:

12√24 = 12√(8 x 3) = 12√(4 x 2 x 3) = 2 x 12√(2 x 3) = 24√6

In short, the answer is 24√6, or the first option.

4 0
2 years ago
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