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2 years ago

How do i simplify this expression?3(a-7)=?

Mathematics

1 answer:

kolbaska11 [484]2 years ago

3 0

Answer: 3a-21

Step-by-step explanation:

Apply distributive property

a=3-3*7

Multiply 3*7=21

Answer: 3a--21

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What is the simpler form of (2x-6)^2

KatRina [158]

(2x - 6)^2 = (2x - 6)(2x - 6) = 4x^2 - 12x - 12x + 36 = 4x^2 - 24x + 36

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3 years ago

Read 2 more answers

The table shows conversions for common units of length.

Vedmedyk [2.9K]

Answer:

1 kilometer

0.621371 miles

Step-by-step explanation:

Given data

In the given table we are presented with the conversion table for common units and we are required to present the conversion for kilometers to miles

Hence the conversion from kilometers to miles is presented below

1 kilometer

0.621371 mile

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3 years ago

a person invest in 9000 in a bank. the bank pays 5% interest compounded semi annually. to the nearest tenth of a year, how long

QveST [7]

Answer:

10.1 years.

Step-by-step explanation:

It is given that,

Principal = 9000

Rate of interest = 5%

No. of times interest compounded = 2 times in an year

Amount after certain time = 14800

The formula for amount:

$A=P(1+\frac{r}{n})^{nt}$

where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.

Substitute the given values in the above formula.

$14800=9000(1+\frac{0.05}{2})^{2t}$

$\frac{14800}{9000}=(1+0.025)^{2t}$

$1.644=(1.025)^{2t}$

Taking log both sides.

$\log(1.644)=\log(1.025)^{2t}$

$\log(1.644)=2t\log(1.025)$ $[\because \log a^b=b\log a]$

$\frac{\log(1.644)}{2\log(1.025)}=t$

$t=10.066$

$t=10.1$

Therefore, the required time is 10.1 years.

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3 years ago

What is the relationship among proportional relationships, lines, rates of change, and slope?

Genrish500 [490]

For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.

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3 years ago

Find the distance between the points (4,3) and (2,-1). Express your answer in simplest radical form.

Kamila [148]

Answer : B

the distance between the points (4,3) and (2,-1)

We apply distance formula

$d^2= (x_2-x1)^2 + (y_2-y_1)^2$

(x1,y1) is (4,3)

(x2,y2) is (2,1)

$d^2= (2-4)^2 + (-1-3)^2$

$d^2= (-2)^2 + (-4)^2$

d^2 = 4+16 = 20

Take square root on both sides

So $d=2\sqrt{5}$

the distance between the points (4,3) and (2,-1) is 2sqrt(5)

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3 years ago

How do i simplify this expression?3(a-7)=?​

How do i simplify this expression?3(a-7)=?