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3 years ago

AB = 4x

Mathematics

1 answer:

KiRa [710]3 years ago

3 0

Answer:

AB=4×

DC=×+9

AD=6

BC=2y

Quadrilateral ABCD is a parallelogram if both pairs of Opposite sides are congruent. show that quadrilateral ABCD is a parallelogram by finding the Lengths of the Opposite side part

c 12,6

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Help me pls this is urgent ;>

postnew [5]

Answer:

$\frac{ |a + x| }{2} - \frac{ |a - x| }{2} \\ \\ = \frac{ | - 2 - 6| }{2} - \frac{ | - 2 + 6| }{2} \\ \\ = \frac{ | - 8| }{2} - \frac{ |4| }{2} \\ \\ = \frac{8}{2} - \frac{4}{2} \\ \\ = 4 - 2 = 2$

5 0

2 years ago

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.

7 0

3 years ago

Read 2 more answers

What is 2 1/6 * 1 1/4 equal too

timofeeve [1]

Hmmm idk if you want fractions but, 65/24 or 2 17/24 I think

6 0

3 years ago

What is the perimeter

Westkost [7]

Answer:

The answer to your question is: letter D

Step-by-step explanation:

First we need to find the distances between the points,

distance AB = 8 get it just by counting the points in the graph

distance AC = 9 get it just by counting the points in the graph

To know the distance BC, use the pythagorean theorem

c2 = a2 +b2

c2 = 8² + 9²

c² = 64 + 81

c² = 145

c = 12.04

Finally, perimeter = AB + AC + BC

= 8 + 9 + 12.04

= 29.04 units

7 0

3 years ago

Read 2 more answers

Determine the domain of the following graph

sp2606 [1]

Answer:

[-9,3]

Step-by-step explanation:

The domain is all x-values or inputs of a function from left to right is -9 to + 3

6 0

2 years ago