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Tanya [424]
3 years ago
7

Find the distance from A(15,21) to the line 5x +2y=4. Round your answer to the nearest tenth

Mathematics
1 answer:
butalik [34]3 years ago
5 0

Answer:The distance from a point to a line is

distance(ax+by+c=0,(x0,y0)) = abs(ax0+by0+c)/sqrt(a^2+b^2)

So first convert the formula for the line to standard form

5x+2y=4

5x+2y-4=0

a=5, b=2, c=-4, x0=15, y0=-21

Step-by-step explanation:

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WHAT IS THE ANSWER FOR 12 1/3 + 8 3/4 +17 2/8 +23 2/3=
gulaghasi [49]
12  \dfrac{1}{3}  + 8  \dfrac{3}{4}  +17  \dfrac{2}{8}  +23  \dfrac{2}{3}

Simplify
= 12  \dfrac{1}{3}  + 8  \dfrac{3}{4}  +17  \dfrac{1}{4}  +23  \dfrac{2}{3}

Change the denominators to be the same
= 12  \dfrac{1 \times 4}{3 \times 4}  + 8  \dfrac{3 \times 3}{4 \times 3}  +17  \dfrac{1 \times 3 }{4 \times 3}  +23  \dfrac{2 \times 4}{3 \times 4}

= 12  \dfrac{4}{12}  + 8  \dfrac{9}{12}  +17  \dfrac{3 }{12}  +23  \dfrac{8}{12}

Combine into single fraction
= 60  \dfrac{24}{12}

= 62

6 0
3 years ago
I don’t get this can someone explain this
LekaFEV [45]

Answer:

15.7 units

Step-by-step explanation:

AB = 6, BC = 3

Therefore by Pythagoras theorem

AC = \sqrt{45}

perimeter \: of \:  \triangle \: ABC \\  = 6 + 3 +  \sqrt{45}  \\  = 9 + 6.70820393 \\  = 9 + 6.7 \\  = 15.7\: units

3 0
3 years ago
Please help
trapecia [35]
Between emma and dave, we have 7/10ths of the money

3x + 2x = 7/10

5x = 7/10

x=(7/10)/5

x= 14/100

Dave will get 28/100 or 7/25ths

Check : 30/100      Colin
            42/100      Emma 
         + 28/100     Dave
           -----------
           100/00

7 0
3 years ago
can a right triangle have a leg that is 10 meters long and a hypotenuse that is 10 meters long? Explain
xenn [34]
According to the Pythagorean Theorem, in a right triangle, the the squares of the sides equal the square of the hypotenuse. if the sides were to be A and B and the Hypotenuse were to b C, A²+B²=C². In your case, A=10 and C=10. If you were to plug that into the Pythagorean Theorem, 100+B²=100. (10²=100) If you subtract 100 by both sides (100=100 so they cancel each other out), B²=0. in a right triangle, a leg cannot equal 0. Therefore, A right triangle cannot have a leg that is 10 meters long and a hypotenuse that is 10 meters long.

7 0
3 years ago
PLEEESE HELLLLLLP If you have a test average of 92 and a standard deviation of 1.8, you generally do well on tests.
choli [55]

Yes, that's true PROVIDED your test scores are normally distributed.

If they are, then more than 99% of your test scores are within three
standard deviations of the mean. 

You told us that 3-sigma = 5.4 .  So less than one score out of every
hundred tests you take is lower than  86.6  or higher than  97.4 . 

You are remarkably consistent, so I guess Jupiter must have been
in its ascendancy next door to the house of Andromeda about an
hour before you were born, or some such nonsense.

3 0
3 years ago
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