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Hatshy [7]
3 years ago
7

write a equation in a point-slope form fir the line through the given point with the given slope (9,-1);m=4/3​

Mathematics
1 answer:
gavmur [86]3 years ago
6 0

Answer:

y +1 = 4/3( x-9)

Step-by-step explanation:

Point slope form of an equation is

y-y1 = m(x-x1)

where m is the slope and (x1,y1)  is a point on a line

y - -1 = 4/3( x-9)

y +1 = 4/3( x-9)

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determine the length of a chord whose central angle is 75° in the circle with the radius of 12 inches. ​
Black_prince [1.1K]

Answer:

Step-by-step explanation:

other two sides joining center to the ends of chord=radius of circle=12 in

using cosine formula

cos A=\frac{b^2+c^2-a^2}{2bc} \\2bc cos~A=b^2+c^2-a^2\\\angle A=75^\circ\\b=c=r=12~in\\2*12*12~cos~75=12^2+12^2-a^2\\a^2=2*12^2-2*12^2 cos ~75\\a^2=2*12^2(1-cos 75)\\a=12\sqrt{2(1-cos~75)} \approx 14.6~inches

6 0
3 years ago
Rename the number 600,000
borishaifa [10]
Six hundred thousand ?
3 0
3 years ago
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Scott’s family has cats and birds as pets. Scott counted the total number of legs his pets have. Scott counted 30 legs total. If
Elden [556K]

Answer:

It should be 6

Step-by-step explanation:

birds have 2 legs so - 3x2=6

30-6=24

cats have 4 legs so - 24/4 =6

Hope this helps :)

8 0
2 years ago
Read 2 more answers
30 pontos de graça<br> Quanto é 100X4=?
Oksi-84 [34.3K]

Answer:

400

Step-by-step explanation:

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3 0
3 years ago
Find a, b , and h so that f(x)= a sin (b(x-h))<br> f(x)=5cosx+2sinx
TiliK225 [7]
a\sin(b(x-h))=a\sin(bx)\cos(bh)-a\cos(bx)\sin(bh)

For this to be equivalent to 5\cos x+2\sin x, you require b=1 and

\begin{cases}a\cos h=2\\-a\sin h=5\end{cases}

Dividing the second equation by the first gives

\dfrac{-a\sin h}{a\cos h}=-\tan h=\dfrac52\implies h=\arctan\left(-\dfrac52\right)=-\arctan\dfrac52

Meanwhile, you also get

a\cos\left(-\arctan\dfrac52\right)=2\implies a\cos\left(\arctan\dfrac52\right)=\dfrac{2a}{\sqrt{29}}=2\implies a=\sqrt{29}

So,

f(x)=5\cos x+2\sin x=\sqrt{29}\sin\left(x+\arctan\dfrac52\right)
8 0
3 years ago
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