Answer:
b = 5/12
Step-by-step explanation:
You have the proportion
1/(3b) = 4/5
Cross multiply to get rid of the fractions...
5 = 12b now solve for b
5/12 = b (divide by 12 on both sides)
Answer:
1) y = 1/2 x + 3 and y = 1/2 x are parallel
2) y = 1/2 x + 4 and y = 1/2 x + 1 are parallel
Step-by-step explanation:
Two lines are parallel only if their slope is equal.
1)
In the first problem:
y = 1/2 x + 3 and y = 1/2 x have same slope ( i.e slope = 1/2)
That means these two equations are parallel to each other.
2)
In the second problem:
y = 1/2 x + 4 and y = 1/2 x + 1 have same slope( i.e slope = 1/2)
Hence above two equations are parallel to each other.
Answer:
Linear.
Step-by-step explanation:
Answer:
a^2 - 6a + 6
Step-by-step explanation:
6−a(4−a)−2a =
6+a2+−4a+−2a
6+a2+−4a+−2a
(a^2)+(−4a+−2a)+(6)
a2+−6a+6
=a^2−6a+6
Answer:
r=9⅓
Step-by-step explanation:
(10,r). (4,-3)
(x¹,y¹) (x²,y²)
gradient=<u>y²-y¹</u>
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>x²-x¹
<u>4</u>= <u>-</u><u>3</u><u>-</u><u>r</u>
3<u> </u><u> </u><u> </u><u> </u>4-10
multiply both sides by 3(4-10)to remove the denominators.
3(4-10<u>)</u>×<u> </u><u>4</u><u> </u>= <u>-</u><u>3</u><u>-</u><u>r</u><u> </u>×3(4-10)
3 4-10
(4-10)×4= (3-r)×3
16-40=9-3r
put the liketerms together
note* signs(- +) change when they cross the equal sign(=)
3r=4+40-16
3r=28
divide both sides by 3
r=28/3.
r=9⅓
