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gtnhenbr [62]
2 years ago
15

PLEASE HELP I DONT UNDERSTAND

Mathematics
1 answer:
Charra [1.4K]2 years ago
8 0

Example Question:

X²+6x-14=0

Quadratic equations are usually in the form Ax²+Bx=C. Completing the Square is a technique for rewriting this equation in the form (x+a²)+b.

The example I provided is in standard form.

Here's what I did:

Step 1: Move the "C" to the other side (in this case it's negative 14, so you add 14 to both sides of the equation to move it).

Step 2: Leave a blank after Ax²+Bx. In this case, it'll look like: X²+6x+_____= 14.

Step 3: Use the box to find the missing "C". Idk if you can see the photo after the 1st one, but I circled the spaces in green. Those spaces indicate 2 factors that add up for B (in this case, 6). Those same factors will eventually multiply each other to get 9.

Step 4: Give the new "C" to both sides of the equation. What this means is that after you multiply the factors on the outside of the box, you put the number on both sides. The 3rd picture I drew is the process of finding the outer factors (by plugging in 3x to the spaces that were circled).

If you can't see it, it's (X+3)•(X+3).

The 4th picture is me plugging the new "C" (9) to both sides of the equation. 3 times 3 is 9. You multiply the 3's on the outside to get the factors on the inside.

Step 5: Use Step 3 box to write (perfect square)² of left hand side.

What this means is that you take the factors on the outside and rewrite it in perfect square form. like shown in picture 5. If you can't see it, it's like this:

(X+3)•(X+3) turns to (X+3)²=23.

The 23 was from adding 14+9 together.

So the final Answer would be:

(X+3)²=23.

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cestrela7 [59]
It'd be B) because to make a triangle the sum of two sides has to be greater than the third side. 3+4=7, and 7>5, so...<span>voilà</span>
6 0
2 years ago
Helppppp plssss I’m not tryna fail math !!!
kirill [66]

Step-by-step explanation:

  1. 1.25 × 10^-4
  2. 2.0 × 10^-4
  3. 3.25×10^-6
4 0
3 years ago
A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio
Basile [38]

Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

  • x_{max}=-b/2a
  • f(x)_{max}=f(x_{max})

Since our function is A(L)=640L-2L², we get

  • a=-2
  • b=640

plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0
2 years ago
^
love history [14]

Answer:

B. x < -1

Step-by-step explanation:

Hello!

Let's put them in order from greatest to least:

  • \{-2,-5,-9,-12\}

Given our possible inequalities, we need to find the inequality that contains all of these values.

The inequality that works is x < -1, as <u>all values are less than -1.</u>

Therefore, the answer is B. x < -1.

4 0
1 year ago
How to do math easily
katrin [286]

Step-by-step explanation:

Keep quit when they a teaching you and stay with participanting people/friends

7 0
2 years ago
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