Answer:
Slope intercept form: y = 4x + 14
Slope: 4
Y-intercept: 14
Step-by-step explanation:
y - 2 = 4(x + 3)
Use distributive property
y - 2 = 4x + 12
y - 2 + 2 = 4x + 12 + 2
y - 0 = 4x + 14
y = 4x + 14
That's OK, but you have not said which variable you want to solve it for.
<u>To solve for 'x':</u>
<span>c + ax = dx
Subtract c from each side: ax = dx - c
Subtract dx from each side: ax - dx = -c
Factor the left side: x (a - d) = -c
Divide each side by (a - d) : x = -c / (a - d) or <u>x = c / (d - a)</u> .
</span><span><u>To solve for 'c': </u>
</span><span> c + ax = dx
Subtract ax from each side and factor: <u>c = x (d - a) </u>
</span><u>To solve for 'd': </u>
<span>c + ax = dx
Divide each side by 'x': d = c/x + a .
<u>To solve for 'a':</u>
</span><span><span> c + ax = dx</span>
Subtract 'c' from each side: ax = dx - c
Divide each side by 'x': <u>a = d - c/x </u>.
.</span>
The table have the following results:
Hearts – 7
Diamonds – 4
Clubs – 8
Spades – 5
There is a total of 24
The question is asking for the probability of not
selecting a heart.
So we need to add the probabilities of the diamonds,
clubs, and spades since these suits are different from hearts.
So = 4 + 8 + 5 = 17
And we have a total of 24 cards
<span>Therefore the probability is 17/24. </span>
Answer:
9 2/3*4 1/5*1 1/4=50 3/4 in^3
Answer:
The width is 20 ft and the length is 80 ft
Step-by-step explanation:
Area = l * w
l = w +60
SA = 1600 ft^2 ( which is the regular area) The surface area of the water is just what is on top which is length times width
1600 = l*w
Substitute in l = w+60
1600 = (w+60) *w
Distribute the w
1600 = w^2 +60w
Subtract 1600 from each side
1600-1600 = w^2 + 60w -1600
0 = w^2 + 60w -1600
Factor
0=(w-20) (w+80)
Using the zero product property
w-20=0 w+80 =0
w=20 or w=-80
The width cannot be negative so
w=20
Now we need to find the length
l = w+60
l = 60+20
l =80
