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Over [174]
3 years ago
9

11. Reason Identify each solution as rational or

Mathematics
1 answer:
melamori03 [73]3 years ago
7 0

Answer:

a. Rational; b. rational

Step-by-step explanation:

A rational number is the quotient of two integers.

a. ⁴/₇ + ⁻¹/₃

\begin{array}{rcl}\dfrac{4}{7} + \dfrac{-1}{3} & = & \dfrac{12}{21} + \dfrac{-7}{21} \\\\& = & \dfrac{5}{21}\\\end{array}

The solution is rational.

b. √4 ⅖

\begin{array}{rcl}\sqrt{4} \, \dfrac{2}{5} & = & 2 \, \dfrac{2}{5}\\\\& = & \dfrac{22}{5}\\\end{array}

The solution is rational.

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Solve the equation 2x^{2}+9x-1=x to the nearest 10th
Scilla [17]

Answer:

2x2+9x−1=x

Step 1: Subtract x from both sides.

2x2+9x−1−x=x−x

2x2+8x−1=0

Step 2: Use quadratic formula with a=2, b=8, c=-1.

x=

−b±√b2−4ac

2a

x=

−(8)±√(8)2−4(2)(−1)

2(2)

x=

−8±√72

4

x=−2+

3

2

√2 or x=−2+

−3

2

√2

Step-by-step explanation:

This is what I got but I'm not 100% positive. I checked it on a calculator and it seemed to check out.

4 0
3 years ago
−13 − (−27) <br> pls help-
sergij07 [2.7K]

Answer:14

Step-by-step explanation: minus *minus = + so its +27

and then you just do the maths 27-13=14

3 0
2 years ago
Find a number which when divided by 3 gives the quotient 20 and remainder
Westkost [7]

Solution:

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8 0
2 years ago
gde Sta manut Stree and Lincoln Set orm a right triangle with a trafic light at each intersection. The distance between the traf
earnstyle [38]

The diagram is of a right triangle with

Hypotenuse = 233

One leg of the triangle = 105

Another Leg = <em>we have to find</em>

<em />

<em />

Pythagorean Theorem can be written as:

\text{Leg}^2+\text{AnotherLeg}^2=\text{Hypotenuse}^2

Thus, we can write:

\begin{gathered} 105^2+\text{AnotherLeg}^2=233^2 \\ \text{AnotherLeg}^2=233^2-105^2 \\ \text{AnotherLeg}^2=43264 \\ \text{AnotherLeg}=\sqrt[]{43264} \\ \text{AnotherLeg}=208\text{ ft} \end{gathered}

Thus,

The distance between the traffic lights on Walnut Street is:

208 feet
4 0
10 months ago
Which point on the number line has the greatest absolute value?
aleksandrvk [35]

Answer:

I thinks its T (3)

Step-by-step explanation:

6 0
3 years ago
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