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3 years ago

Solve 2,401 = 76 – 2x.

Mathematics

2 answers:

Alborosie3 years ago

6 0

In order to solve this, you have to go through a step by step process.

Step 1:

Move terms:

2x = 76 -2401

Step 2:

Calculate and divide both sides by two:

2x = -2325

Answer:

X = -2325/2

statuscvo [17]3 years ago

3 0

X = -1162.5

Subtract 2,401 from both sides.

0 = 76 - 2401 - 2x

0 = -2325 - 2x

Add 2x on both sides.

2x = -2325

Divide both sides by 2.

x = -2325 / 2

x = -1162.5

There is the answer.

Please consider marking this answer as Brainliest to help me advance.

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Answer:

True statements: A, C, D, E

Step-by-step explanation:

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D) Straight lines are also straight angles that measure 180°

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$\angle A + \angle B = 180^\circ$

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$\angle A + \angle B = 90^\circ$

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3 years ago

Side lengths of a triangle 5x-1 and 4x+1

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You aren't sharing much information (no directions??).

If your triangle is a right triangle AND 5x-1 and 4x+1 represent the lengths of the 2 shortest sides, then the Pyth. Theorem tells us that

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This could be an isosceles triangle if the third side were either 5x-1 or 4x+1.

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3 years ago

Of the 50 states in the United States, 14 have an Atlantic Ocean coastline and 5 have a Pacific Ocean coastline. What fraction o

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Answer:

$\frac{31}{50}$

Step-by-step explanation:

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3 years ago

Read 2 more answers

A ball is thrown in the air from a platform that is 96 feet above ground level with an initial vertical velocity of 32 feet per

pishuonlain [190]

Answer:

y = -16 (x - 1)^2 + 112

The object lands on the ground in approximately 3.6s

Explanation:

The equation given is that of a parabola.

Now the maximum (local) point of a parabola is the vertex. Therefore, if we want to rewrite our function in the form that would be used to find the maximum height, then that form must be the vertex form of a parabola.

The vertex form of a parabola is

$y=a(t-h)^2+k$

where (h, k) is the vertex.

The only question is, what is the vertex for our function h(t)?

Remember that if we have an equation of the form

$y=ax^2+bx+c$

then the x-coordinate of the vertex is

$h=-\frac{b}{2a}$

Now in our case b = 32 and a = -16; therefore,

$h=\frac{-32}{2(16)}=1$

We've found the value of the x-coordinate of the vertex. What about the y-coordinate? To get the y-coordinate, we put x = 1 into h(t) and get

$k=-16(1)+32(1)+96=112$

Hence, the y-coordindate is k = 112.

Therefore, the vertex of the parabola is (1, 112).

With the coordinates of the vertex in hand, we now write the equation of the parabola in vertex form.

$h(t)=a(t-1)^2+112$

The only problem is that we don't know what the value of a is. How do we find a?

Note that the point (0, 96) lies on the parabola. In other words,

$h(0)=-16(0)^2+32(0)+96=96$

Therefore, the vertex form of the parabola must also contain the point (0, 96).

Putting in t = 0, h = 96 into the vertex form gives

$96=a(0-1)^2+112$ $96=a+112$

subtracting 112 from both sides gives

$a=-16$

With the value of a in hand, we can finally write the equation of the parabola on vertex form.

$\boxed{h\mleft(t\mright)=-16\left(t-1\right)^2+112.}$

Now when does the object hit the ground? In other words, for what value of t is h(t) = 0? To find out we just have to solve the following for t.

$h(t)=0.$

We could either use h(t) = -16t^2 + 32t + 96 or the h(t) = -16(t - 1)^2 + 112 for the above equation. But it turns out, the vertex form is more convenient.

Thus we solve,