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3 years ago

Solve the linear system by graphing y=x+2 and y=-6x+9

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

6 0

Answer:

(1, 3)

General Formulas and Concepts:

<u>Algebra I</u>

Coordinates (x, y)
Reading a Cartesian (Rectangular) plane
Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect will be the solution set to the systems of equations.

If the lines are parallel, they will have no solution.

If the lines are the same, they will have infinite amount of solutions.

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In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle QRS = (4x-15)^{\circ}m∠QRS=(4x−15) ∘ , \text{m}

mixas84 [53]

Answer:

Step-by-step explanation:

Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.

From the hypothesis, we have:

m∠QRS =(10x−12)∘(10x−12)

m∠PQR = (3x+20)∘(3x+20)

m∠RPQ=(3x−8)∘(3x−8)

Using the first equation and replacing the hypothesis:

m∠QRS = m∠PQR + m∠RPQ

(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)

Multiplying and applying the remarkable identity:

Then, we use a calculator to find the roots, which are:

In this case, we will see what root is the right one.

Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.

m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

In circle O, TM = CB. If mTM = 4x - 11 and<br>mCB = 3x + 19, what is the measure of TM?<br>

dangina [55]

Think the answer is actually 0

6 0

3 years ago

Marsha has a bag that contains 4 green marbles, 8 yellow marbles, and 20 red marbles. If she chooses one marble from the bag, wh

Alex787 [66]

Answer:

12 out of 32

Step-by-step explanation:

12 of the marbles aren't red and there are a total of 32 marbles when you add them up.

6 0

4 years ago

Read 2 more answers

Daniel runs laps every day at the community track. He ran 45 minutes each day, 5 days each week, for 12 weeks. In that time, he

gizmo_the_mogwai [7]

1800 laps in 12 weeks

1800/12 = 150 laps in 1 week

150/5 = 30 laps a day

30 laps in 45 minutes

x laps in 60 minutes

x = (30*60)/45 = 40 laps per hour

5 0

3 years ago

The price of a certain property increased by 10% in the first year, decreased by 20% in the second year, and increased by 25% in

Marizza181 [45]

Answer:

1) $4400

2) $4400

Step-by-step explanation:

Let

X = price in first year

Y = price in 2nd year

Z = price in 3rd year

A = price in the end of 3rd year

Y = 1.1 X

Z = 0.8 Y

substitute Y into Z get Z = 0.88 X

A = 1.25 Z= 1.25(0.88X) = 1.1 X

(125/100) Z = 22000

Z = 22000 x 100 / 125 = 17600

Z = 0.8Y

Y = Z/0.8 = 1.25Z

Amount of dollar decrease in 2nd year = Y - Z

= 1.25Z - Z = 0.25Z = 0.25 x 17600 = 4400 dollar

Decrease in price over first 2 years = Increase in property in 3rd year - 2000

Hence, X - Z = (A-Z) - 2000

X - 0.8X = 1.1 X - 0.88 X - 2000

X - 0.88X - 1.1X + 088X = -2000

-0.1 X = -2000

0.1 X = 2000

X = 20000

Amount of dollar decrease during 2nd year = Y - Z = 1.1X - 0.88X = 0.22X

= (0.22) x (20000) = 4400 dollars

3 0

3 years ago