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2 years ago

The perimeter of a rectangle is 12x + 4. If the width is 2x, the length of the rectangle is

Mathematics

1 answer:

DENIUS [597]2 years ago

6 0

Answer:

4x+2

Step-by-step explanation:

Perimeter = 2(width) + 2(length). So 12x+4 = 2(2x) + 2(length) .

12x+4 = 4x + 2(length) then subtract 4x from both sides to get 8x+4 = 2(length). In order to get length by itself you need to divide both side by 2.

4x+2 = length. Hope this helps!

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Can someone plz solve!!!??????

Tju [1.3M]

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What is 5-3?

5-3=2.

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so now we have something like this:

1
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3 years ago

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The height h of a projectile is a function of the time t it is in the air. the height in feet for t seconds is given by the func

alexgriva [62]

Domain means the values of independent variable(input) which will give defined output to the function.

Given:

The height h of a projectile is a function of the time t it is in the air. The height in feet for t seconds is given by the function

$h(t)=-16t^2 + 96t$

Solution:

To get defined output, the height h(t) need to be greater than or equal to zero. We need to set up an inequality and solve it to find the domain values.

$To \; find \; domain:\\\\h(t) \geq0\\\\-16t^2+96t \geq 0\\Factoring \; -16t \; in \; the \; left \; side \; of \; the \; inequality\\\\-16t(t-6) \geq 0\\Step \; 1: Find \; Boundary \; Points \; by \; setting \; up \; above \; inequality \; to \; zero.\\\\t(t-6)=0\\Use \; zero \; factor \; property \; to \; solve\\\\t=0 \; (or) \; t = 6\\\\Step \; 2: \; List \; the \; possible \; solution \; interval \; using \; boundary \; points\\(- \infty,0], \; [0, 6], \& [6, \infty)$

$Step \; 3:Pick \; test \; point \; from \; each \; interval \; to \; check \; whether \\\; makes \; the \; inequality \; TRUE \; or \; FALSE\\\\When \; t = -1\\-16(-1)(-1-6) \geq 0\\-112 \geq 0 \; FALSE\\(-\infty, 0] \; is \; not \; solution\\Also \; Logically \; time \; t \; cannot \; be \; negative\\\\When \; t = 1\\-16(1)(1-6) \geq 0\\80 \geq 0 \; TRUE\\ \; [0, 6] \; is \; a \; solution\\\\When \; t = 7\\-16(7)(7-6) \geq 0\\-112 \geq 0 \; FALSE\\ \; [6, -\infty) \; is \; not \; solution$

Conclusion:

The domain of the function is the time in between 0 to 6 seconds

$0 \leq t \leq 6$

The height will be positive in the above interval.

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3 years ago

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Number Line<br> B is between A and C. AB= 12 and BC= 17. what is the length of AC?

igor_vitrenko [27]

Answer:

Step-by-step explanation:

AB+BC=AC

12+17=29=AC

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3 years ago

3 Which ordered pair is the solution of<br> the system graphed below?

gayaneshka [121]

Answer:

C. (5, -3)

Step-by-step explanation:

Ordered pair just means the coordinate or the point at which both of the graphs intersect. On the x-axis, this is at point 5, and on the y-axis, this is at point -3. Since an ordered pair is in the form (x, y), the answer is therefore C.

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2 years ago

Simplify: 22 + 6(3) – 7<br><br> Simplify: 5x − 2y + 3z − 2x − y + 4z

guapka [62]

Answer:

1. 33

2. 3x - 3y + 7z

Step-by-step explanation:

combine like terms on the second one.

3x - 3y + 7z

solve for the first one 22 + 18 - 7

18 - 7 = 11

11 + 22 = 33

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3 years ago