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2 years ago

Please help me!!!!!!!!!!!

Mathematics

2 answers:

Iteru [2.4K]2 years ago

5 0

The point where the lines intersect.
this case (0,6)

lesya692 [45]2 years ago

3 0

0,6 I'm not sure if it correct

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What is the completely factored form of the following expression 6b2+5b-4

nlexa [21]

The answer is (2b+1)(3b-4)

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3 years ago

Find the area of a plane figure bounded by lines

natulia [17]

Answer: 4.5

Step-by-step explanation:

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1

Now, integrate from x = -2 to x = 1

$\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,$ the bottom of the integral is -2

= $\int\limits^1_2 {x+6-x^{2}-2x-4 } \,$

= $\int\limits^1_2 {-x^{2}-x+2 } \,$

= $\frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,$

= $(\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))$

= $(\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)$

= $\frac{-9}{3} + \frac{3}{2} +6$

= -3 + 1.5 + 6

= 4.5

3 0

3 years ago

Select all of the ordered pairs that are solutions to the system

mr Goodwill [35]

Answer:

(0,0)

(2,2)

(0,1)

Step-by-step explanation:

All of these points lie inside

7 0

2 years ago

Michelle buys a motorcycle for $10,000. The motorcycle loses 20% of its value each year. The depreciation of the motorcycle is s

makkiz [27]

You can use cross product to slove this equation.

3 0

3 years ago

Really need this todayyyyyy

Bond [772]

Answer:

Q3: x1=2+i, x2=2-i Q4: x1=-3/2+i, x2=-3/2-i

Step-by-step explanation:

$x^{2} - 4x + 5 =0$

( $4$ ± $\sqrt{16 - 4*1*5}$ ) / $2$ = (

x1= 2+i

x2= 2-i

$2x^{2} +6x + 5 =0$

( $-6$ ± $\sqrt{36 - 4*2*5}$ ) / $4$ = (-6 ± $\sqrt{-4}$ )/4= (-3 ± i)/2

x1 = -3/2 +i

x2 = -3/2 -i

7 0

2 years ago

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