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3 years ago

When you graph a system of linear equations, why does the intersection of the two lines represent the solution of the system?

Mathematics

1 answer:

Kruka [31]3 years ago

5 0

Because it is the answer that works for both equations. geometrically it is the 1 point that appears in both lines

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Solve for v:<br> -5.5 = 7.3 + v/8

Romashka [77]

-5.5=7.3+v/8

convert decimals to fractions

-11/2=73/10+v/8

multiply both sides by 40

-220=292+5v

move terms

-5v=292+220

add the numbers

-5v=512

divide both sides by -5

v=512/5

answer

3 0

3 years ago

A circle has a sector with area \dfrac{1}{2}\pi 2 1 πstart fraction, 1, divided by, 2, end fraction, pi and central angle of \

balu736 [363]

Answer:

Area of circle = 9<em>π</em>

Step-by-step explanation:

Area of sector = $\frac{1}{2} \pi$

Its central angle = $\frac{1}{9}\pi \text{ radians}$

$\text{Area of sector} = \dfrac{\text{Central angle}}{2\pi} \times\text{Area of circle}$

$\text{Area of circle} = \text{Area of sector}\times\dfrac{2\pi}{\text{Central angle}}$

$A = \dfrac{1}{2}\pi\times\dfrac{2\pi}{\frac{1}{9}\pi} = 9\pi$

8 0

4 years ago

-4 = 10 + n/2 please i will give brainliest

n200080 [17]

Answer:

n = -28

Step-by-step explanation:

-4 = 10 + n/2

first step, subtract 10 from each side to get:

-14 = n/2

cross-multiply to get:

n = -28

4 0

3 years ago

Read 2 more answers

If a toaster produces 12ohms of resistance in a 120-volt circuit. What is the amount of current in the circuit

tensa zangetsu [6.8K]

Answer:

10 amps.

Step-by-step explanation:

According to Ohm's Law, V=IR, and, dividing both sides by R, we have $V/R=I$ , where V is the amount of volts, R is the amount of resistance, and I is the current in amps.

Plugging the values into the formula, we have $120/12 = 10$ .

Therefore, there is 10 amps of current in the circuit.

6 0

3 years ago

What is the distance between the two points shown on the graph

victus00 [196]

Answer:

The distance between the two points is 7 units

5 0

3 years ago