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schepotkina [342]
3 years ago
15

PLEASE HELP! I’ll GIVE THE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY!!

Mathematics
1 answer:
wariber [46]3 years ago
8 0

Answer:

its 8.5

Step-by-step explanation:

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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. x2+3/2x
denis23 [38]

Answer:

The added term needed for that expression to be a square is 9/16.

Step-by-step explanation:

We're provided with two terms, and asked to add an additional term to make this a perfect square.  For this to work, the term needs to be a scalar value that is the square of half the coefficient of the second term.

That coefficient is 3/2, so half of that is 3/4, and its square is 9/16.

If we tack that on the end then, we get:

x^2 + \frac{3x}{2} + \frac{9}{16}\\=(x + \frac{3}{4})^2

To confirm the answer, let's expand it and see if we get the original expression:

(x + \frac{3}{4})^2\\= (x + \frac{3}{4})(x + \frac{3}{4})\\= x^1 + \frac{3x}{4} + \frac{3x}{4} + \frac{9}{16}\\= x^2 + \frac{6x}{4} + \frac{9}{16}\\=x^2 + \frac{3x}{2} + \frac{9}{16}

So 9/16ths is the scalar that needs to be added on the end.

4 0
3 years ago
Felicia places a rectangular rug that measures 10 feet by 11 feet in a triangular room with a base of 30 feet and height of 22 f
arsen [322]

Answer:

1. Area of rectangular rug is 110 ft^{2}

2. Area of triangular room is 330ft^{2}

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, rectangle and triangle.

step one

let us start by solving for the area of the rectangular rug

given data

Area A =  ?

Length l =  11 ft

Width w=  10 ft

we know that the area of a rectangle is expressed as

Area=Length * Width

substituting our given data we have

Area= 11*10\\Area= 110 ft^{2}

step two

let us  solve for the area of the triangular room

given data

Area A =  ?

base b =  30 ft

height  h=  22 ft

we know that the area of a triangle is expressed as

Area= \frac{1}{2} *base* height\\

substituting our given data we have

Area= \frac{1}{2} * 30* 22\\Area=\frac{660}{2} \\Area= 330 ft^{2}

8 0
3 years ago
What is the domain<br> 1. all real numbers<br> 2.x &gt; 2<br> 3.y &gt; 2<br> 4.x &lt;2
Mama L [17]

Answer:

x > 2

(in the graph, the x value does not go below 2.)

7 0
3 years ago
A cat has 24 whiskers by its nose. A manatee has 25 times as many whiskers.
agasfer [191]

Answer:

that would be 600 whiskers

Step-by-step explanation: 24*25= 600

5 0
3 years ago
Read 2 more answers
Identify the slope and y-intercept of the function y= -5x+4
Rufina [12.5K]

Answer:

The slope is -5 and the y intercept is (0,4). (D).

Step-by-step explanation:

The formula for this is y=mx+b. With m equaling the slope, and b equaling the y intercept. In the place of m, there is -5, getting you your slope of -5 and in the place of b there is 4 (meaning the coordinate (0,4)), getting you your answer. I hope this helps! :)

7 0
2 years ago
Read 2 more answers
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