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Tema [17]
3 years ago
10

3. The width of a rectangle is 3x – 7. The length of the rectangle is 4x +5.

Mathematics
1 answer:
garri49 [273]3 years ago
3 0

Answer:

D. 14x - 4

Step-by-step explanation:

P = 2(L + W)

P = 2(4x + 5 + 3x - 7)

P = 2(7x - 2)

P = 14x - 4

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Combine and simplify the following radical expression <br><br> ASAP ASAP ASAP ASAP
Montano1993 [528]

Answer:

\sqrt[3]{3}

Step-by-step explanation:

Our expression is: \frac{1}{3} \sqrt[3]{81}.

Let's focus on the cube root of 81 first. What's the prime factorisation of 81? It's simply: 3 * 3 * 3 * 3, or 3^3*3. Put this in for 81:

\sqrt[3]{81} =\sqrt[3]{3^3*3}=\sqrt[3]{3^3} *\sqrt[3]{3}

We know that the cube root of 3 cubed will cancel out to become 3, but the cube root of 3 cannot be further simplified, so we keep that. Our outcome is then:

\sqrt[3]{3^3} *\sqrt[3]{3}=3\sqrt[3]{3}

Now, let's multiply this by 1/3, as shown in the original problem:

\frac{1}{3}* 3\sqrt[3]{3}=\sqrt[3]{3}

Thus, the answer is \sqrt[3]{3}.

<em>~ an aesthetics lover</em>

6 0
3 years ago
(11x + 8) + (8x + 12) =27
Tju [1.3M]

Answer:

11x + 8 +8x +12 =27  (drop the parenthesis, there's no actual need for them)

19x +20 =27 (i combined like terms and then subtracted 20 from both sides)

19x = 7  (divide both sides by 19 to get x alone)

x= 7/19 or 0.36842105 (the answer)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The directrix of a parabola is the line y=-2 and the focus is (2,-4). This parabola can be written in y=ax^2+bx+c form. Complete
miv72 [106K]

Answer:

Step-by-step explanation:

This calculator will find either the equation of the parabola from the given ... latus rectum, focus, vertex, directrix, focal parameter, x-intercepts, y-intercepts of ... Assume that the equation of the parabola is $$$y=a x^{2} + b x + c$$$. ... Since the parabola passes through the point $$$\left(2, 9\right)$$$, then $$$9=4 a + 2 b + ...

7 0
3 years ago
The current population of a town is 8,000. If the population, P, increases by 25% each year, which equation could be used to fin
Bad White [126]

Answer:

given:

principal [P]=8000

rate[r]=15%

population after t years=?

we have

population after t years=P(1+r/100)^t=8000(1+15/100)^t is your answer

4 0
3 years ago
A company that creates steering wheels for cars found that 2 of the steering wheels manufactured each hour yesterday were defect
Ymorist [56]
2 steering wheels manufactured each hour were defected
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7 0
3 years ago
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