Find the missing part.

HELPPPPPPP on this question.! I need to pass.

timurjin [86]

9514 1404 393

Answer:

12.25 (or -18.75)

Step-by-step explanation:

If you pay attention to the square of a binomial, ...

(x -a)² = x² -2ax +a²

You see that the constant (a²) is the square of half the x-coefficient. That is, the x-coefficient is -2a, half that is -a, and the square of that is (-a)² = a².

In your equation, the x-coefficient is -7, half that is -3.5, and the square of that is 3.5² = 12.25.

So, you can think of this ambiguous question in a couple of ways.

Concern is only with the x-terms:

x² -7x +31 = (x² -7x +12.25) +31 = 12.25 . . . . . . add 12.25 to both sides

(x -3.5)² +31 = 12.25 . . . . write the x-terms as a square

Concern with the equation overall:

You want the end result to have the x-terms in the form of the square ...

(x -3.5)² = x -7x +12.25

The left side of the equation can be put in that form by adding -18.75 to both sides;

x² -7x +31 -18.75 = -18.75 . . . . . . add -18.75 to both sides

x² -7x +12.25 = -18.75 . . . . . . . . . simplify

(x -3.5)² = -18.75 . . . . . . write the left side as a square

__

The short of it is that we're not sure what the question is asking for exactly. The "help video" would probably clarify the intent. Most likely, you're concerned with adding the square of half the x-coefficient, 12.25.

3 0

3 years ago

In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by

Ksju [112]

Answer:

The area of ΔABC is 6√6 sq. yards.

Step-by-step explanation:

The area of a triangle using the Heron's formula is:

$A=\sqrt{s\cdot (s-a)\cdot (s-b)\cdot (s-c)}$

Here s is given as follows:

$s=\frac{a+b+c}{2}$

The sides of the triangle ABC are as follows:

AB = 6 yd

BC = 7 yd

CA = 5 yd

Compute the value of s as follows:

$s=\frac{a+b+c}{2}$

$=\frac{6+7+5}{2}\\\\=9$

Compute the area of ΔABC as follows:

$A=\sqrt{s\cdot (s-a)\cdot (s-b)\cdot (s-c)}$

$=\sqrt{9\cdot(9-6)\cdot(9-7)\cdot(9-5)}\\\\=\sqrt{9\times 3\times 2\times 4}\\\\=\sqrt{216}\\\\=\sqrt{36\times 6}\\\\=6\sqrt{6}$

Thus, the area of ΔABC is 6√6 sq. yards.

7 0

3 years ago

Please solve this quadratic equation: 9^x-1 = 27^X-1

nadezda [96]

Answer:

x=1

Step-by-step explanation:

if it is truly 9^(x-1)=27^(x-1), then you dont really need to use the quadratic fromula.

5 0

3 years ago

I need help with this

Nataly_w [17]

Answer: 72 units^2

Explanation:
Triangle to the left, you do 5(6) and get 30, but since it's a triangle, you divide by 2 and get 15. Middle rectangle, 6(8) is 48. Right triangle, 3(6) is 18, 18/2 is 9. Add them all up 15+48+9 and you get 72. Hope this helped!

6 0

3 years ago

Is this linear relationship a direct variation?

Talja [164]

Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.

Step-by-step explanation:

A relationship is said to have direct variation if ratio of second variable to the ratio of first variable remains constant.

A relationship is direct variation if $y=kx\,\,or\,\, \frac{y}{x} =k$ where k is the constant.

Now checking if the given data is having direct variation or not.

x y

3 24

4 32

5 40

6 48

Now finding y/x

if y=24 and x = 3 then y/x = 24/3 = 8

if y=32 and x = 4 then y/x =32/4=8

if y=40 and x = 5 then y/x =40/5 =8

if y=48 and x = 6 then y/x =48/6= 8

Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.

Keywords: Direct Variation

Learn more about Direct Variation at:

#learnwithBrainly

5 0

3 years ago