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2 years ago

13

Using the graph, determine the coordinates of the x-intercepts of the parabola.

1 answer:

prohojiy [21]2 years ago

4 0

The result is (0 ; -32). See the 3 pictures for details.

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Complete the steps of the derivation of the quadratic formula step 1: (x+b/2a)^2-b^2-4ac/4a^2=0

CaHeK987 [17]

(x+b/2a)^2-(b^2-4ac)/2a=0
Step 2:
Re-write the expression:
(x+b/2a)^2=(b^2-4ac)/4a^2

Step 3:
get the square root of both sides:
x+b/2a=sqrt[(b^2-4ac)/4a^2]

Step 4:
Simplifying we get:
x+b/2a=sqrt[b^2-4ac]/2a

Step 5
Make x the subject:
x=-b/2a+/-sqrt[b^2-4ac]/2a

5 0

3 years ago

Read 2 more answers

An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a black 6?

Mrac [35]

1/26

In a standard pack of 52 playing cards there are 2 black 6 's

The 6 of spades and the 6 of clubs

Probability = number of favourable outcomes / number of possible outcomes

P( black 6 ) =2/52 = 1/26 in simplest form

3 0

2 years ago

Simplify. <br><br> Y plus(15+ y)<br><br> A.15y<br> B.15+2y<br> C.17y<br> D.15+y

Arte-miy333 [17]

Answer:

2y+15

Step-by-step explanation:

y+(15+y)

y+15+y

(y+y)+15

2y+15

3 0

3 years ago

Read 2 more answers

Find the area of the shaded region.

luda_lava [24]

Answer:

The area of the shaded region is $11.6\ cm^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the sector of circle of angle 68.9 degrees minus the area of the isosceles triangle

step 1

Find the area of sector of the circle

The area of circle is equal to

$A=\pi r^{2}$

assume

$\pi =3.14$

$r=9.28\ cm$

substitute

$A=(3.14)(9.28)^{2}$

$A=270.41\ cm^{2}$

Remember that the area of a circle subtends a central angle of 360 degrees

so

using proportion Find out the area of a sector with a central angle of 68.90 degrees

Let

x -----> the area of a sector

$270.41/360=x/68.90\\\\x=68.90*270.41/360\\\\x=51.75\ cm^{2}$

step 2

Find the area of the isosceles triangle

Applying the law of sines

The area is equal to

$A=(1/2)r^{2}sin(68.90)$

we have

$r=9.28\ cm$

substitute

$A=(1/2)(9.28)^{2}sin(68.90)=40.17\ cm^{2}$

step 3

Find the area of the shaded region

$51.75-40.17=11.58\ cm^{2}$

Round to the nearest tenth

$11.58=11.6\ cm^{2}$

3 0

3 years ago

If this is true then what does K equal to? Write as an inequality. plz help me. you will be greatly appreciated.

Scrat [10]

Answer:

K = (2v)/2

Step-by-step explanation:

1. Multiply both sides by 2/n

<u>Now: (2v)/n = b + K</u>

<u></u>

2. Subtract k from both sides

<u>Now: (2v)/n - b = K</u>

8 0

2 years ago