Solve 9x2 + 3x − 2 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

Answers

Answer 1
Answer: As far from I know, you can use the quadratic formula or factor this equation. It's easier to factor instead because this is efficient to certain types of quadratic equation. In order to factor the equation, suppose you draw an big X. Each part of the 'X' is very substantial to help solve the equation. On the top, multiply the coefficient from '9x2', in which 9 is your coefficient, and multiply it with the last number, -2. Your total is -18. With the 3x left on the equation, place the 3 on the bottom of the 'X' mark. Now, you need to find two numbers that multiply and add/subtract to -18 and 3. The only two possible numbers are 6 and -3. However, those are not your final answers because they're not an restriction to 0. You will get (x+6)(x-3). Finally, find the opposite of both of the two separate equations and you will find your final answers.

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What is the distance between the points ( 38,30) and (14,20)?

To the nearest foot, how long is Pennsylvania Ave. between 19th St. and 18th St? (Hint: The 425 ft on the map above represents the length of Pennsylvania Ave. between 20th St. and 19th St.)

Answers

425 would be the answer

Charlie measured the circle-shaped part of a sun his sister drew on the chalkboard. The circumference of the circle is 75.36 cm. What is the diameter? (Use 3.14 for .)

Answers

Answer:

The diameter of circle is 24 cm.

Step-by-step explanation:

We are given the following in the question:

Circumference of circle = 75.36 cm

We have to find the diameter of the circle.

Circumference of circle =

C =2\pi r

where r is the radius of the circle.

Putting values, we get,

75.36 = 2* 3.14* r\n\nr = (75.36)/(2* 3.14)\n\nr=12

Diameter of circle =

d=2r\nd=2* 12=24\text{ cm}

Thus, the diameter of circle is 24 cm.

Choose the less precise measurement and explain why it is less precise. 2.8 mm or 3.79 mm

Answers

2.8 MM because it is probably an estimate because nothing is perfect if you zoom in close enough!

Which best names the quantity 1/2 in the linear equation shown? y=-2x+1/2A) The y intercept
B) The slope
C) The dependent variable
D) The x-intercept

Answers

A) Y- intercept
because.....
y= -2x+1/2
y = mx+b
b = 1/2
m = -2

A rectangular piece of land with an area of 260000 m to the power of 2 is 2000 m long write the area and length in scientific notation and then find the width

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Answer:

130 meters.

Step-by-step explanation:

(4,? is on the line below. Find the other half of the coordinate

y=2/7x-3

Answers

(x,y)
we are given (4,?)
basically,
if x=4, then what is y equal to ?
subsitute 4 for x
y=2/7(4)-3
y=8/7-3
y=8/7-21/7
y=-13/7=-1 and 6/7

(4,-13/7)