Answer:
12
Step-by-step explanation:
30+(4x+2)=8+6x
30+4x+2=8+6x
32+4x=8+6x
32=8+6x-4x
32=8+2x
2x=32-8
2x=24
x=24/2
x=12
The point-slope form:

We have

Therefore
<h3>slope = -3 and the point (-2, 6)</h3>
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<h3>y + 2 = 2(x - 1)</h3>
2x - y = 4 <em>it's standard form Ax + By = C</em>
y = 2x - 4 <em>it's slope-intercept form y = mx + b</em>
y - x = 4 →<em> </em>x - y = -4 <em>t's standard form Ax + By = C</em>
The figure is a right triangle so we can use the Pythagorean theorem to find the third side AKA the hypotenuse.
Pythagorean theorem = a² + b² = c² where A and B are the legs of the triangle and C is the hypotenuse.
39² + 80² = c²
169 + 6400 = c²
6569 = c²
Square root both sides to cancel out the squared variable.
√6569 = √(c²)
√6569 = c
The third side, the hypotenuse, is √6569 units long.
Answer:
A
Step-by-step explanation:
Answer:

Step-by-step explanation:
3 envelopes having 2 red card
2 envelopes having 1 red card and 1 black card
1 envelope having 2 black cards
We are given that . An envelope is selected at random and a card is withdrawn and found to be red.
So, No. of ways of envelope having red card = 3+2 = 5
No. of required ways of envelope having 1 red card and 1 black card = 2
So, probability of getting an envelope having 1 red card and 1 black card = 
Hence The chance the other card is black is 