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Anvisha [2.4K]
3 years ago
8

Monica graphed the line y=3×+2.Janice graphs the second line that is parallel to monica's and passes through (-2,0). What is the

equation of Janice's line?
Mathematics
1 answer:
rewona [7]3 years ago
4 0
The equation of a line that passes throug the point (x1,y1) and has  a sloppe of m is
y-y1=m(x-x1)

the slope of paralell lines ar the same

y=3x+2
y=mx+b
m=slope
m=3

a point is (-2,0)
slope is 3

y-0=3(x-(-2))
y=3(x+2)
y=3x+6
the equation is y=3x+6
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4' 9''+ 7''<br> the sum pleaseee
joja [24]

Answer:

5'4" or 64 inches

Step-by-step explanation:

5 0
3 years ago
You are painting the root of a boathouse. You are going to place the base of a ladder 12 feet from the boathouse. How long does
jolli1 [7]

Answer:

37 ft

Step-by-step explanation:

The ladder forms a right triangle as it elan's against the wall of the boat house.

Thus, the length of the ladder can be determined using Pythagorean theorem.

c² = a² + b²

c = length of ladder

a = 35 ft

b = 12 ft

Plug in the values

c² = 35² + 12²

c² = 1,225 + 144

c² = 1,369

c = √1,369

c = 37

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4 0
3 years ago
1000 was invested at 5.5% interest, compounded annually. After sometime the amount had grown to 1550. How long was the money inv
scZoUnD [109]

compound interest equation for annually compounded

A=P(1+r)^t

A=final amount

P=principal

r=rate in decimal

t=time in years


given that

A=1550

P=1000

r=5.5%=0.055

find t


1550=1000(1+0.055)^t

divide both sides by 1000

1.55=1.055^t

take ln of both sides

ln(1.55)=ln(1.055^t)

use ln rule ln(a^b)=b(ln(a))

ln(1.55)=t(ln(1.055))

divide both sides by ln(1.055)

\frac{ln(1.55)}{ln(1.055)}=t

using a calculator, we get that t=8.18544 yrs

so about 8.2yrs

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Square ABCD is a dilation of square ABCD. What is the scale factor​
gulaghasi [49]

Answer:

\frac{1}{3}

Step-by-step explanation:

2 divided by 6 is \frac{1}{3}

To confirm it,

6 * \frac{1}{3} =2

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3 years ago
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