Answer:
x = -5/7
Step-by-step explanation:
8 1
---------- = ----------
x+3 x+1
Using cross products
8 (x+1) = 1 (x+3)
Distribute
8x+8 = x+3
Subtract x from each side
8x-x +8 = x-x+3
7x+8 =3
Subtract 8 from each side
7x +8-8 =3-8
7x = -5
Divide each side by 7
7x/7 = -5/7
x = -5/7
First let’s find the equation:
a = (42-21)/(26-13)
a= 21/13
y-y1 = a(x-x1)
y-21=(21/13)(x-13)
y-21=(21/13)x - 21
y=(21/13)x-21+21
y=(21/13)x
Now we will find the other point:
X = 2 >> y =(21/13)*2 = 3.23 (not)
X = 3 >> y =(21/13)*3 = 4.84 (not)
X = 4 >> y =(21/13)*4 = 6.46 (not)
X = 5 >> y =(21/13)*5 = 8.07 (yes) find the answer
I believe the correct answer from the choices listed above is option D. The correct transformation of figure QRST to figure QꞌRꞌSꞌTꞌ would be a reflection across point R of pre-image. <span> It is basically a 'flip' of a shape over the line of </span>reflection<span>. Hope this answers the question.</span>
Step-by-step explanation:
Just consider the inequalities an equal sign and do the usual way of solving:
8x - 6 > 12 + 2x
8x - 2x > 12 +6
6x > 18
x > 3
*The only rule that you need to remember is that when you multiply or divide a negative number on both sides, then the inequality sign would be reverse.*
Example:
-x + 3 > -2
-x > -2-3
-x > -5
Multiplying both sides by -1:
x < 5
Answer:
a) 13/102
b) 24/16575
c) 169/5100
d) 30/169
Step-by-step explanation:
a) 26/52 × 13/51
13/102
b) 4/52 × 4/51 × 12/50
1/13 × 4/51 × 6/25
24/16575
c) 13/52 × 13/51 × 26/50
1/4 × 13/51 × 13/25
169/5100
d) 40/52 × 12/52
10/13 × 3/13
30/169
