3 years ago

What is an equation for the line with slope 2/3 and y-intercept 9

1 answer:

6 0

The equation of a line is y-mx+b with m being slope and b being y-intercept. Using the values provided in your problem, your answer would be y=2/3x+9, or C.

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What is the monomial if a square of a monomial is:1 9/16 a12b6

san4es73 [151]

Answer:

$1\dfrac{1}{4}a^6b^3$

Step-by-step explanation:

A square of a monomial is $1\dfrac{9}{16}a^{12}b^6$ that is $\dfrac{25}{16}a^{12}b^{6}$

Use properties of exponents:

$(a^m)^n=a^{mn}\\ \\\dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m\\ \\a^mb^m=(ab)^m$

Note that

$\dfrac{25}{16}=\dfrac{5^2}{4^2}=\left(\dfrac{5}{4}\right)^2\\ \\a^{12}=a^{6\cdot 2}=(a^6)^2\\ \\b^6=b^{3\cdot 2}=(b^3)^2$

Then

$\dfrac{25}{16}a^{12}b^{6}=\left(\dfrac{5}{4}\right)^2\cdot (a^6)^2\cdot (b^{3})^2=\left(\dfrac{5}{4}a^6b^3\right)^2$

So, the monomial is

$\dfrac{5}{4}a^6b^3=1\dfrac{1}{4}a^6b^3$

5 0

3 years ago

What is another strategy that you can use to multiply 2 digit by 2 digit numbers?

ipn [44]

You may write them separating the units and tens digits, and then use FOIL to add 4 easy tems. For example, let's compute $21\cdot 36$ :

$21\cdot 36=(20+1)(30+6)=600+120+30+6 = 756$

8 0

3 years ago

7/11 of a class walk to school. What fraction of the class did not walk to school

elena55 [62]

Answer:

4/11 of the class did not walk to school.

Step-by-step explanation:

11/11 - 7/11 = 4/11

7 0

1 year ago

Sam has a water bottle that holds 250 milliliters of water when full. He needs to fill a 5-liter water jug for his team. If Sam

stealth61 [152]

There are 1000ml in 1L. There for there are 4x250ml in 1L. Multiply 5x4 gives you 20. Therefore he needs to fill 20 water bottles to fill the jug

5 0

3 years ago

Read 2 more answers

True or False: The expressions xy and yx are like terms.

harina [27]

Answer:

True

Step-by-step explanation:

6 0

3 years ago