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lesantik [10]
3 years ago
15

Find the values of a b and c for which the quadratic equation ax^2+bx+c=0 has the solutions -3 and 1

Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0
It may be easier to start from

.. a(x +3)(x -1) = 0
.. a(x^2 +2x -3) = 0

The quadratic
.. ax^2 +bx +c = 0 will have solutions -3 and 1 for ...

.. a ≠ 0
.. b = 2a
.. c = -3a
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A cylinder has a diameter of 14 cm and a volume of 112 pi.
vekshin1
Height of cylinder is 2.285 centimeters

Diameter = 14 cm
Radius = 7 cm (14/2)
Volume = 112 pi

Volume of cylinder = pi(radius)^2 h
112pi = pi(7)^2 h
Divide both sides
112 = 49 h
h = 112/49
h = 2.285 centimeters
8 0
3 years ago
how many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 3 times
Lelechka [254]
I believe you would do 2 times 3, which gives you 6. 3 is for the number of coin tosses, and 2 is the number of sides of a coin.
6 0
3 years ago
Complete the equation of the line through (-9,-9) and (-6,0)
Rudik [331]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis.

According to the data of the statement we have the following points:

(x_ {1}, y_ {1}): (- 9, -9)\\(x_ {2}, y_ {2}): (- 6,0)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 9)} {- 6 - (- 9)} = \frac { 9} {- 6 + 9} = \frac {9} {3} = 3

Thus, the equation is of the form:

y = 3x + b

We substitute one of the points and find b:

0 = 3 (-6) + b\\0 = -18 + b\\b = 18

Finally, the equation is:

y = 3x + 18

Answer:

y = 3x + 18

7 0
3 years ago
40 points!!! Please Help!!! (MATH) Will give Brainliest!!!
Vedmedyk [2.9K]

Answer:

A =62x^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is given by

A=2(wl+hl+hw)

Given a width of 2x and length of 3x and a height of 5x, substitute into the equation

A = 2(2x*3x+ 5x*3x+ 2x*5x)

A = 2(6x^2 + 15x^2 +10x^2)

Combine like terms

A = 2(31x^2)

A =62x^2

7 0
3 years ago
Can someone help me with this problem and show your work
zloy xaker [14]
55 degrees

The supplementary angle is 55 because 180-125=55

Then subtract the interior angles 180-75-55=55
3 0
3 years ago
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