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AnnyKZ [126]
3 years ago
5

I'm really stuck on this hard system of equations: A+B+C = 2, AB+BC+AC = -11, and ABC = -12. Can anyone show me how to solve thi

s? Please help asap!
Mathematics
1 answer:
Andreas93 [3]3 years ago
8 0
Oh boy. I don't know how to solve this off the top of my head so this answer may ramble a bit as I figure it out as I go along.

At least two numbers have to be close in value, one positive and one negative, in order for a+b+c to be true

Let's see, ABC=-12

If one letter was 4, 1, and -3 they would add to 2 and multiply to -12. I got these by just trying a bunch of combinations.

I'm pretty sure these are the right numbers, but which is which we need the AB+BC+AC formula to figure out.

IF: a=4 b=1 c=-3
4 -3 -12 = -11. Wow, first try, for reals!

A equals 4. B=1. C=-3

Would other combinations work?
a=1 b=-3 c=4
-3 + -12 + 4 = -11

Yes, other combinations work as well. Well, you have your numbers and two ways they can go. Hope this helps!
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U(-3,6), V(-8, 1), W(-3,1)<br> 180° rotation about the origin
Ad libitum [116K]

Answer:

<em>U'</em>(3, -6), <em>V</em><em>'</em>(8, -1), <em>W</em><em>'</em>(3, -1)

Step-by-step explanation:

According to the <em>180°-rotation rule</em>, you take the OPPOSITE of both the y-coordinate and x-coordinate:

<u>Extended Rotation Rules</u>

270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)

270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)

180°-rotation >> (x, y) → (-x, -y)

I am joyous to assist you anytime.

7 0
3 years ago
At a basketball game, a team made 57 successful shots. They were a combination of 1- and 2-point
levacccp [35]

Answer:

  • 2-point shots = 41, 1-point shots = 16

Step-by-step explanation:

Let the number of 1-point shots is x and 2-points shots is y.

The system as per question is

  • x + y = 57
  • 1*x + 2*y = 98

Solve it by elimination, subtract the first equation from the second

  • x + 2y - x - y = 98 - 57
  • y = 41

Find the value of x

  • x + 41 = 57
  • x = 16
4 0
2 years ago
1) Which pair of angles are congruent?
gavmur [86]

Answer:The eight angles will together form four pairs of corresponding angles. Angles 1 and 5 constitutes one of the pairs. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.

Step-by-step explanation:

4 0
3 years ago
Two angles are supplementary. If the measure of the first angle is 88° what is the measure of the second angle?
DiKsa [7]

Answer:

92

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can someone please help me with this question and show the steps?
Katena32 [7]
<h2>Answer:</h2>

D. \ 408in^2

<h2>Step-by-step explanation:</h2>

This is a square pyramid because it's a solid having a square base. The point up the pyramid is called the apex and is directly above the middle of the square base. The surface area of a solid is the total area of its outer surface. If we unfold this pyramid, we'll get one square and four identical triangles. So the surface are can be calculated as follows:

s=s_{square}+4s_{triangle}

FOR THE SQUARE:

s_{square}=L^2 \\ \\ L=12in \\ \\ s_{square}=12^2=144in^2

FOR THE TRIANGLE:

s_{triangle}=\frac{bh}{2} \\ \\ b=12in \\ h=11in \\ \\ s_{triangle}=\frac{12\times 11}{2}=66in^2

Finally:

s=s_{square}+4s_{triangle} \\ \\ s=144+4(66) \\ \\ s=144+264 \\ \\ \boxed{s=408in^2}

7 0
3 years ago
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