The probability of the black sock is 6/26 for the white is 16/26 and for the brown is 4/26
Answer:
x = -8 or x = 3
Step-by-step explanation:
To factor ax² + bx + c, use AC method.
a times c is 1 × -24 = -24.
Factors of ac (-24) that add up to b (5) are 8 and -3.
Divide by a and reduce: 8/1 and -3/1.
Therefore, the factors are x + 8 and x − 3.
x² + 5x − 24 = 0
(x + 8) (x − 3) = 0
x = -8 or 3
Answer:
(1) x=
−1
/2
y+
5
/2
(2)
x=
−1
/2
y−2
Step-by-step explanation:
<u>(1)</u> 2x+y=5
Step 1: Add -y to both sides.
2x+y+−y=5+−y
2x=−y+5
Step 2: Divide both sides by 2.
2x
/2
=
(−y+5)/2
x=
−1
/2
y+
5
/2
<u>(2) </u>Step 1: Flip the equation.
−2x−4=y
Step 2: Add 4 to both sides.
−2x−4+4=y+4
−2x=y+4
Step 3: Divide both sides by -2.
−2x
/−2
=
(y+4)
/−2
x=
−1
/2
y−2
Answer:
36
Step-by-step explanation:
when solving for two variables, we need to find one variable in terms of the other.
so, we can turn:
x - y = 5
into
x - y = 5
+ y + y
x = y + 5
Then, we can substitute "x" in the given equation with "y + 5"
x² - y² = 30
(y+5)² - y² = 30
(y + 5)(y + 5)
F: y² O: +5y I: +5y L: 25 {foil}
y² + 10y + 25 - y² = 30 {cancel y² - y²}
10y + 25 = 30
-25 -25
10y = 5
÷10 ÷10
y = 0.5
x = y + 5
x = 0.5 + 5
x = 5.5
check:
(5.5)² - (0.5)²
30.25 - 0.25 = 30
30 = 30
(TRUE)
now, we must find the value of:
(5.5 + 0.5)²
= (6)²
= 36
So, the value of (x + y)² is found to be 36
hope this helps!!
Answer:
Yes and SSS
Step-by-step explanation:
Let’s write down the ratios to figure out the first question:
RP:MN=5:3
NP:ML=10:6
RN:LN=15:9
Notice that we can simplify all of those ratios to 5:3. That means that the sides are all similar, so yes, the triangles are similar.
For the second question: They are similar by because all sides are similar in the same ratio. That means that they are similar by the SSS similarity.
Hope that helps
