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3 years ago

A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft.

Mathematics

2 answers:

SOVA2 [1]3 years ago

8 0

The answer is A. x-1,n,3x+5

brilliants [131]3 years ago

4 0

Answer:

The correct option is A. x – 1 < n < 3x + 5

Step-by-step explanation:

In a triangle sum of any two sides is always greater than the third side.

Now, the sides of the triangle are given to be :

2x + 2, x + 3 , n

Now, first take 2x + 2 and x + 3 as two sides and the side of length n as third side.

By using the property that sum of two sides is always greater than the third side in a triangle.

⇒ 2x + 2 + x + 3 > n

⇒ 3x + 5 > n ......(1)

Now, take n and x + 3 as two sides and the side of length 2x + 2 as the third side of triangle.

So, by the property, we have :

n + x + 3 > 2x + 2

⇒ n > x - 1 ...........(2)

From both the equations (1) and (2) , We get :

x – 1 < n < 3x + 5

Therefore, The correct option is A. x – 1 < n < 3x + 5

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Brainiest if right so pls solve down below!

Fantom [35]

9514 1404 393

Answer:

D) 54

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic.

2[(x -1) +2xy]

= 2[(4 -1) +2(4)(3)]

= 2[3 +24]

= 2(27) = 54 . . . . matches choice D

8 0

3 years ago

An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled usin

GuDViN [60]

Answer:

3 seconds

Step-by-step explanation:

Complete question:

An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2. How many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds

Given the height of an object modelled by the expression;

h(t)=144-16t²

The object will reach the ground when h(t) = 0

Substitute into the formula

0 = 144 - 16t²

-144 = -16t²

144 = 16t²

Swap

16t² = 144

t² = 144/16

t² = 9

Square root both sides

√t² = ±√9

t = ±3secs

Since the time cannot be negative, hence the object will reach the ground 3 seconds after

8 0

3 years ago

Please choose the correct answer choice and fill in the blanks within the answer choice you choose.

ivanzaharov [21]

Um, i think it might be B

3 0

2 years ago

The directex of Y=1/8x^2 is?

nexus9112 [7]

$\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})} \\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
y=\cfrac{1}{8}x^2\implies (y-0)=\cfrac{1}{8}(x-0)^2\implies 8(y-0)=(x-0)^2
\\\\\\
4(2)(y-0)=(x-0)^2\impliedby \textit{that means, p = 2}$

so... if you notice, the vertex is at h,k and that'd be the origin, 0,0

so...since the directrix is "p" units from the vertex, so it'd be 2 units from 0,0

now, the parabola has an equation with a positive leading term's coefficient, namely the 1/8 is positive, thus, the parabola is opening upwards, and the directrix is "outside" the parabola, so is below the vertex

that puts the directrix 2 units below 0,0

y = -2

6 0

3 years ago

Distance between (3,-7) and (3,5)

Sveta_85 [38]

Answer:

The distance between the two points, (3, -7) and (3,5) is 12

Step-by-step explanation:

PLEASE MARK BRAINLIEST

3 0

3 years ago

Read 2 more answers