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2 years ago

Completing the Square: results in 2 solutions x^2 + 3x = -2

1 answer:

4 0

Add 2 to both sdies
now if we can facor, then if
xy=0 then x and/or y=0
note:xy=x times y and x(y) =x times y

x^2+3x+2=0
what 2 number multiply to get 2 and add to get 3
the numbers are 2 and 1
(x+2)(x+1)=0
set them to zero
x+2=0
subtract 2
x=-2

x+1=0
subtract 1
x=-1

x could be -1 or -2
x=-2, or -1

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What is the equation of a line that has an x-intercept of -4 and a y-intercept of 8 ?

podryga [215]

Answer:

y=2/-1+8

Step-by-step explanation:

-4= (-4,0) -4=x1 0=y1, 8= (0,8) 0=x2 8=y2
formula is, y2-y1/x2-x1
8-0/0-4=8/-4=4/-2= 2/-1
2/-1 is the slope or (m), use (-4,0) or (0,8) i used (0,8) because its easier.
(0,8), 0=x1 8=y1
formula is y-y1=m(x-x1)
y-8=2/-1(x-0) ---->distribute
y-8=2/-1x-0 --->get y alone

+8 +8

so the answer is y=2/-1+8

7 0

3 years ago

Simplify: 5y-3/12y - y-5/20y: <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5y-3%7D%7B12y%7D%20-%5Cfrac%7By-5%7D%7B20y%7D"

Damm [24]

Answer:

i think the answer is -y^2/20 + 2y/3 - 1/4

6 0

3 years ago

Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.

KiRa [710]

In the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

In trigonometry, for a right triangle, the sine (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).

In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.

The side opposite to angle J is KL, which has a value of 3 units.

The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.

Thus, sin J can be calculated as:

sin J = KL/JK = 3/7.8 = 5/13 = 0.39.

Thus, in the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

Learn more about trigonometric ratios at

brainly.com/question/20367642

#SPJ1

8 0

1 year ago

30 divided by 14 as a fraction

Anna71 [15]

Reduce the expression, if possible, by cancelling the common factors.

Exact form:
15/7
Decimal form:
2.142857 repeating
Mixed number form:
2 1/7

5 0

2 years ago

I need to find the volume for number 10

kumpel [21]

Using the diagonal dimension and the height we can solve for the diameter of the cylinder using the Pythagorean theorem.

x^2 + 9.5^2 = 19.3^2

x^2 + 90.25 = 372.49

x^2 = 372.49 - 90.25

x^2 = 282.24

x = √282.24

x = 16.8

Now we know the diamteer and height, we can calculate the volume using the formula V = pi * r^2 * h

r = 1/2 the diameter = 16.8/2 = 8.4

using 3.14 for pi

Volume = 3.14 * 8.4^2 * 9.5

V = 3.14 * 70.56 * 9.5

v = 3.14 * 670.32

v = 2104.8 cubic meters

5 0

2 years ago