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3 years ago

Which expression is equivalent to 3^8 times 3^7?

Mathematics

1 answer:

m_a_m_a [10]3 years ago

5 0

Answer:

1/3⁵⁶ is the answer i think if it's not then i am sorry

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Which of the following constants can be added to x^2 + 2/3x to form a perfect square trinomial?

Angelina_Jolie [31]

Hello.

A trinomial is a perfect square if the square root of the first term times the square root of the third term times 2 equals the middle term.

$\boxed{\mathsf{x^{2} + \dfrac{2}{3} x}}$

a) Adding 1/9:

$\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{1}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{1}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{1}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{2}{3} x \rightarrow it \: is \: a \: perfect \: square \: trinomial}$

b) Adding 4/9:

$\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{4}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{4}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{2}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{4}{3} x \rightarrow it \: is \: not \: a \: perfect \: square \: trinomial}$

c) Adding 4 and 1/9:

$\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{1}{9} + 4 = x^{2} + \dfrac{2}{3} x + \dfrac{37}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{37}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{\sqrt{37}}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{2\sqrt{37}}{3} x \rightarrow it \: is \: not \: a \: perfect \: square \: trinomial}$

Hope I helped.

3 0

3 years ago

Which equation represents the line that has a slope of 1/2 and

scoray [572]

Answer:

Solution given:

slope(m)=½

passing through point (x',y')=(0,3)

now

equation of a line is:

y-y'=m(x-x')

y-3=½(x-0)

y=½x+3

D.y=½x+3 is a required equation of a line.

6 0

3 years ago

Is Mikasa less than or equal to Levi This is math I promise

Hitman42 [59]

Answer:

less than because levi is one of the most skilled

3 0

3 years ago

Read 2 more answers

The area of rectangular is 46 square inches.if the length is 4 times the width . Then find the dimensions of the rectangular

dimulka [17.4K]

Answer:

the rectangle's width is approximately 3.39 inches

and the length is approximately 13.56 inches.

Step-by-step explanation:

Recall that the area of a rectangle is Length times Width

If we name the length "L" and the width "W", we have:

L * W = 46

Also: "the length is 4 times the width" can be written in math form as:

L = 4 * W

and now we can replace the length L by 4 * W in the formula for the area:

$L\,*\,W = 46\\(4\,W) \,W = 46\\4\,W^2=46\\W^2=\frac{46}{4} =11.5\\W=\sqrt{11.5} \\W\approx 3.39$

and now we find the value of L:

$L=4\.(3.39) = 13.56$

Therefore, the rectangle's width is approximately 3.39 inches

and the length is approximately 13.56 inches.

7 0

3 years ago

Solve using the Zero-Product Property (x - 11)(5x + 1) = 0 Show your work or not.

Illusion [34]

Step-by-step explanation:

third and the yellow one will be the answer

x=11,X=-1/5

6 0

3 years ago