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olchik [2.2K]
3 years ago
7

What is -3x+12y=24 in standard form

Mathematics
1 answer:
nalin [4]3 years ago
8 0
So standard form is Ax+By=C
Since the problem is already in that form you don’t need to switch it around however A has to be more than 0 (so positive). Divide the equation by -3 to get the answer x-4y=-8

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Pi/6 is the reference angle for:<br><br> 3pi/6<br><br> 5pi/6<br><br> 13pi/6<br><br> 8pi/6
Elanso [62]

Answer:

\frac{5\pi}{6}, \frac{13\pi}{6}

Step by step

Remember, a reference angle is a positive acute angle that represents an angle θ of any measurement.

a)

\frac{3\pi}{6}=90^\circ, then its reference angle is \frac{\pi}{2}

b)

\frac{5\pi}{6}=150^ \circ is in the second cuadrant, then its reference angle is 180^ \circ -150^{\circ}=30^{\circ}=\frac{\pi}{6}

c)

\frac{13\pi}{6}=390^\circ=360^\circ+30^\circ, then it is in the first cuadrant and the reference angle is 30^\circ =\frac{\pi}{6}.

d)

\frac{8\pi}{6}=240^\circ and it is in the third cuadrant, then its reference angle is 240^\circ -180^\circ=60^\circ=\frac{\pi}{3}

5 0
3 years ago
What is 2 3/12 minus 1 8/12 equal to?​
ArbitrLikvidat [17]

Answer:

7/12

Step-by-step explanation:

3/12=1/4

2 1/4=9/4

8/12=2/3

1 2/3=5/3

---------------

9/4-5/3=27/12-20/12=7/12

6 0
3 years ago
Read 2 more answers
Tolong bantu jawab yaa PAKAI CARAA
yanalaym [24]
B? <span>

1 2/3 </span><span>÷ 1 1/9 = 1.5
 
2.34 </span><span>÷ 0.6 = 3.9</span>
7 0
3 years ago
Is 12.89 irrational
STatiana [176]

No.  It's the ratio of  1,289  to  100 .

Also, it can be written as a fraction with whole numbers
on top and bottom, like this:    1289 / 100 .

Also, it can be written down on paper completely, using
digits and a decimal point or fraction bar.  (You did that.)

Any one of these three facts makes it a rational number.

7 0
4 years ago
GJ is a midsegment of triangle DEF, and HK is a midsegment of triangle GFJ. What is the length of HK?
loris [4]

Answer:

Option B) 4 centimeters

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of n

we know that

a) GJ is a midsegment of triangle DEF

then

G is the midpoint segment DF and J is the midpoint segment EF

DG=GF and EJ=JF

b) HK is a midsegment of triangle GFJ

then

H is the midpoint segment GF and K is the midpoint segment JF

GH=HF and JK=KF

In this problem we have

HF=7 cm

so

GH=7 cm

GF=GH+HF ----> by addition segment postulate

GF=7+7=14 cm

Remember that

DG=GF

substitute the given values

2n-1=14

solve for n

2n=14+1

2n=15

n=7.5\ cm

step 2

Find the length of GJ

we know that

The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

so

GJ=\frac{1}{2}DE

we have

GE=2n+1=2(7.5)+1=16\ cm

substitute

GJ=\frac{1}{2}16=8\ cm

step 3

Find the length of HK

we have that

HK=\frac{1}{2}GJ ----> by the midpoint theorem

we have

GJ=8\ cm

substitute

HK=\frac{1}{2}8=4\ cm

7 0
3 years ago
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