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Zarrin [17]
3 years ago
12

What does the middle term have to be in this trinomial to make it a perfect square? x^2+?+4

Mathematics
2 answers:
melomori [17]3 years ago
7 0

A perfect square is an expression in this form:

(a+b)^2=a^2+2ab+b^2

So, we have two perfect squares, and twice the product of the roots.

We have the two perfect squares: x^2 is the square of x, and 4 is the square of 2.

So, our perfect square can be completed in one of the two following ways:

x^2-4x+4 = (x-2)^2,\quad x^2+4x+4 = (x+2)^2

arlik [135]3 years ago
5 0

Answer: 4x

Step-by-step explanation:

Formula: a^2+2ab+b^2.

So in this case our a^2 is x^2. our b^2 is 4.

To find the middle term (2ab) we do 2*x*2 = 4x

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There is a formula used in chemistry and physics that states that PV = nrt. Solve this formula for n
REY [17]
<span>PV=NRT</span>If you want to solve that for n, remember that you can multiply or divide the whole equation by any number or expression as long as you do it to both sides. For example, if we divide both sides by R we get <span><span><span>PVR</span></span>=NRT</span>or<span><span><span>PVR</span></span>=NT</span>after canceling R from both numerator and denominator on the right. Continue the process to solve for N.
4 0
3 years ago
What is defined as the replacement of one skewed vector by two perpendicular vectors that when acting jointly have the same net
borishaifa [10]

Answer: Vector Resolution

Step-by-step explanation:

Vector components can form right triangle, since one acts vertically and the other acts horizontally. Thus, the original vector forms the hypotenuse of the right triangle formed by its components.

The process of breaking a vector down into its components is called vector resolution.

7 0
3 years ago
Triangle ABC is similar to triangle DEF. If angle A measures 28 degrees and angle B measures 74 degrees. If angle F is the large
MakcuM [25]

Answer: 78 degrees

Step-by-step explanation:

Since the angles of a triangle have to add up to 180 degrees, and angle A is 28 degrees, and angle B is 74 degrees, angle C would have to be 78 degrees so there are a total of 180 degrees in the triangle. Since triangle ABC is similar to triangle DEF, the angle measurements of that triangle would also have to be 28 degrees, 74 degrees, and 78 degrees, corresponding to angles D, E, and F. Since the largest of these numbers is 78 degrees, and angle F is the largest angle of the triangle, that would be your answer.

Hope this helps!

7 0
3 years ago
Read 2 more answers
If x = -5 and y = x + 4, what ordered pair represents the solution? A. (5, -1) B. (-5, -1) C. (5, 1) D. (4, 4)
tekilochka [14]
B.) would be correct
(x,y)
x=-5
y=x+4
y=(-5)+4
y=-1
(-5,-1)
3 0
4 years ago
An internet cafe charges a fixed amount per minute to use the internet. The cost of using the internet in dollars is, y = 3/4x.
Vinil7 [7]

ANSWER

8 minutes

EXPLANATION

We know that the cost of using the internet in dollars is given by,

y=\frac{3}{4}x

Where x is the number of minutes spent on the internet.

In this problem, we have to find how many minutes will 6 dollars buy. In other words, we have to find x for y = 6. To solve the given equation for x, we have to multiply both sides by 4,

\begin{gathered} 4y=4\cdot\frac{3}{4}x \\  \\ 4y=3x \end{gathered}

And divide both sides by 3,

\begin{gathered} \frac{4y}{3}=\frac{3x}{3} \\  \\ \frac{4y}{3}=x \end{gathered}

So, for y = 6, x is,

x=\frac{4\cdot6}{3}=\frac{24}{3}=8

Hence, $6 will buy 8 minutes.

8 0
1 year ago
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