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Alika [10]
3 years ago
15

Find the solution of the system by graphing

Mathematics
1 answer:
zvonat [6]3 years ago
6 0

Answer:

x = -2

y = -1

(-2, -1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

<u>Step 1: Define systems</u>

y = x + 1

3x + 3y = -9

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                              3x + 3(x + 1) = -9
  2. Distribute 3:                                   3x + 3x + 3 = -9
  3. Combine like terms:                     6x + 3 = -9
  4. Isolate <em>x</em> term:                               6x = -12
  5. Isolate <em>x</em>:                                        x = -2

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                    y = x + 1
  2. Substitute in <em>x</em>:                                     y = -2 + 1
  3. Add:                                                      y = -1

<u>Step 4: Graph systems</u>

<em>Check the solution set.</em>

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​ Quadrilateral ABCD ​ is inscribed in this circle.
Anna [14]
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so.... now once we know what C is

you can if you want, do a search in google for "inscribed quadrilateral conjecture",  I can do a quick proof if you need one

but in short, for a quadrilateral inscribed in a circle, each pair of opposites angles are "supplementary angles", namely they add up to 180°

so.. what the dickens does all that mean?   well D+B=180 and A+C = 180

now. we know what A is, 2x+1
and by now, you'd know what C is from  360-x-2x-1-148

so... add them together then   and

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6 0
3 years ago
Read 2 more answers
V = (pi r^2 h/3)...solve for h​
guapka [62]

Answer:

h = (3×V)/ (pi×r²)

Step-by-step explanation:

v =  \frac{\pi {r}^{2} h}{3}

3 \times v = \pi {r}^{2} h

h =  \frac{3v}{\pi {r}^{2} }

4 0
3 years ago
If x^(2) = 64 and y^(2)= 121 what is the value of x-y?
GalinKa [24]

Step-by-step explanation:

<em>the value of x is 8</em>

8^(2) = 64

the value of y is 11

11^(2) = 121

x - y

= 8 - 11

= -3

<h3>#CMIIW</h3>

3 0
3 years ago
What two numbers multiply to -8 and add to -4
Ronch [10]

Answer:

  -2-2√3, -2+2√3

Step-by-step explanation:

Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:

  x(-4-x) = -8

  -4x -x^2 = -8 . . . . . eliminate parentheses

  x^2 +4x = 8 . . . . . . multiply by -1

  x^2 +4x +4 = 12 . . . add 4 to complete the square

  (x +2)^2 = 12

  x +2 = ±√12 = ±2√3

  x = -2±2√3

The two numbers are -2-2√3 ≈ -5.4641, and -2+2√3 ≈ 1.4641.

7 0
4 years ago
How far, D, does a vehicle travel if it is moving at a rate, r, of 60 km/h and it travels for t =150 minutes? Use the formula D=
strojnjashka [21]

The distance of a vehicle travel is 150 km, at a moving rate of 60 km/h for 150 minutes.

Step-by-step explanation:

            The given is,

                   Moving rate, r = 60 km/h

                   Time, t = 150 minutes

Step:1

            We need to find the distance traveled by the vehicle,

            From given the formula is

                        D = rt

            Where,

                D = Distance in Km

                 r = Moving rate in Km/h

                 t = Time in hours

Step:2

         We need to convert the time minutes to hours

                   t = \frac{150}{60} hours

                   t = 2.5 hours

Step:3

        Distance traveled by the vehicle is,

                D = 60 × 2.5

                    = 150

                D = 150 Km

Result:

      The distance traveled by the vehicle is 150 Km at a moving rate of 60 km/h for 150 minutes.

5 0
3 years ago
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