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2 years ago

Solve the quadratic equation by factoring.

Mathematics

1 answer:

iragen [17]2 years ago

7 0

Answer:

B) x = 5/2

Step-by-step explanation:

subtract 3 from each side to get:

4x² - 20x + 25 = 0

this is the difference of 2 squares:

(2x -5)² = 0

one solution, x = 5/2

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line AB passes through points A(-6,6) and B(12,3) if the equation of the line is written in slope intercept form

Paul [167]

Y=(-1/6)x+5
m=(y2-y1)/(x2-x1)
m=(3-6)/(12-(-6))
m=(-3)/(18)
m=-1/6
y=mx+b
y=(-1/6)x+b
6=(-1/6)(-6)+b
6=1+b
b=5
y=(-1/6)x+5

7 0

2 years ago

The width of a rectangle is 3 less than twice its length. if the area of the rectangle is 193 cm 2 cm2, what is the length of th

sineoko [7]

W=2L-3
W*L=193
replace W with 2L-3: (2L-3)L=193
2L^2-3L-193=0
Cannot factor
are you sure the numbers are correct?
If it cannot be factored, use the quadratic formula to find out L, then you can find out W
use the Pythagorean theorem to find the diagonal. I don't see an easier way.

4 0

3 years ago

What is 65/8 as a mixed number

Stolb23 [73]

$List\ of\ the\ multiples\ of\ 8:0;\ 8;\ 126;\ 24;\ 32;\ 40;\ 48;\ 56;\ \boxed{64}\\\\\frac{65}{8}=\frac{64+1}{8}=\frac{64}{8}+\frac{1}{8}=\boxed{8\frac{1}{8}}$

6 0

2 years ago

Read 2 more answers

Given that f(x) = 19x2 + 152, solve the equation f(x) = 0

telo118 [61]

Option A

The solution is:

$x = \pm 2i \sqrt{2}$

Solution:

$f(x) = 19x^2+152$

We have to solve the equation f(x) = 0

Let f(x) = 0

$0=19x^2+152$

Solve the above equation

$19x^2 + 152 = 0$

$\mathrm{Subtract\:}152\mathrm{\:from\:both\:sides}\\\\19x^2+152-152=0-152\\\\Simplify\ the\ above\ equation\\\\19x^2 = -152\\\\\mathrm{Divide\:both\:sides\:by\:}19\\\\\frac{19x^2}{19} = \frac{-152}{19}\\\\x^2 = -8$

Take square root on both sides

$x = \pm \sqrt{-8}\\\\x = \pm \sqrt{-1}\sqrt{8}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\x = \pm i\sqrt{8}\\\\x = \pm i \sqrt{2 \times 2 \times 2}\\\\x = \pm 2i\sqrt{2}$

Thus the solution is found

5 0

2 years ago

Oliver earns five dollars for each lawn he mowed.If he he’d six lawns to move but forgot to mow three of them how much money did

snow_lady [41]

$15

Explanation:

For each lawn he mows = $5

He should mow 6 lawns but did only 3 lawns as other 3 he forgot to mow.

earned:

mows lawn-d * $5

3 * $5

3 0

2 years ago