Which equation(s) below is parallel to y = x-5

Sound can travel incredibly quickly: 1 mile in about 1/12

padilas [110]

97920/729-1/2=w122842

7 0

3 years ago

Read 2 more answers

URGENT HELP ME PLEASE

Trava [24]

Answer:

(a) $\log_3(\dfrac{81}{3})=3$

(b) $\log_5(\dfrac{625}{25})=2$

(c) $\log_2(\dfrac{64}{8})=3$

(d) $\log_4(\dfrac{64}{16})=1$

(e) $\log_6(36^4)=8$

(f) $\log(100^3)=6$

Step-by-step explanation:

Let as consider the given equations are $\log_3(\dfrac{81}{3})=?,\log_5(\dfrac{625}{25})=?,\log_2(\dfrac{64}{8})=?,\log_4(\dfrac{64}{16})=?,\log_6(36^4)=?,\log(100^3)=?$ .

(a)

$\log_3(\dfrac{81}{3})=\log_3(27)$

$\log_3(\dfrac{81}{3})=\log_3(3^3)$

$\log_3(\dfrac{81}{3})=3$ $[\because \log_aa^x=x]$

(b)

$\log_5(\dfrac{625}{25})=\log_5(25)$

$\log_5(\dfrac{625}{25})=\log_5(5^2)$

$\log_5(\dfrac{625}{25})=2$ $[\because \log_aa^x=x]$

(c)

$\log_2(\dfrac{64}{8})=\log_2(8)$

$\log_2(\dfrac{64}{8})=\log_2(2^3)$

$\log_2(\dfrac{64}{8})=3$ $[\because \log_aa^x=x]$

(d)

$\log_4(\dfrac{64}{16})=\log_4(4)$

$\log_4(\dfrac{64}{16})=1$ $[\because \log_aa^x=x]$

(e)

$\log_6(36^4)=\log_6((6^2)^4)$

$\log_6(36^4)=\log_6(6^8)$

$\log_6(36^4)=8$ $[\because \log_aa^x=x]$

(f)

$\log(100^3)=\log((10^2)^3)$

$\log(100^3)=\log(10^6)$

$\log(100^3)=6$ $[\because \log10^x=x]$

5 0

3 years ago

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per

Alisiya [41]

Let the time = x

Distance = Speed x time

One train is 75x, the other train 85x

Add together to equal total distance:

75x + 85x = 384

Simplify:

160x = 384

Divide both sides by 160:

x = 384 / 160

x = 2.4 hours

8 0

3 years ago

Write result in standard notation

levacccp [35]

Answer:

7.5 * 10 ^- 4

Step-by-step explanation:

6 0

3 years ago

Demarco has a piece of fabric 6yd long. He uses a piece 3yd long. He cuts the rest into strips that are each 3\4 yd long. How ma

Kobotan [32]

Answer: 4

Step-by-step explanation:

Hi, to answer this question, first, we have to subtract the amount of fabric used (3yd) to the total fabric that Demarco has (6yd)

6 -3 =3yd

Finally, we have to divide the result by the length of each strip piece (3/4yd)

3÷ 3/4= 4 pieces

There are 4 3/4 yd long strips.

Feel free to ask for more if needed or if you did not understand something.

4 0

3 years ago