Answer:
y = -2x + 7/6
Step-by-step explanation:
y-2/3=-2(x-1/4)
Distribute the -2
y-2/3=-2x+ 2/4
y - 2/3 = -2x + 1/2
Add 2/3 to each side
y - 2/3 + 2/3 = -2x + 1/2 + 2/3
Get a common denominator
y = -2x + 3/6 + 4/6
y = -2x + 7/6
Density=m/V
m=80 gr
V=200cm^3
Density=80gr/200cm^3
Density=0.4 gr per cubic centimeter
Answer:
Options B and D are true.
Step-by-step explanation:
See the diagram attached.
Line a and b are parallel and line c is not parallel to them.
There is a transverse line and this line forms the angles 1 to 12.
Now, option A gives ∠ 8 + ∠ 10 = 180° which can not be true as line c is not parallel to line b.
Option B gives ∠4 + ∠ 6 = 180° which is true because line a is parallel to line b and ∠ 4 and ∠ 6 are interior supplementary angles.
Option C gives ∠ 1 + ∠ 11 = 180° which can not be true as line c is not parallel to line a.
Option D gives ∠3 + ∠ 5 = 180° which is true because line a is parallel to line b and ∠ 3 and ∠ 5 are interior supplementary angles.
Therefore, options B and D are true. (Answer)
Mathematical equation -
20 + 0.50x = ?
X is the placeholder which in this case equals months
But in this case you want to look for form month three to month 18 (which is 15 months) so three months went by so the equation is
$61.50(being the three months already)
(20+(0.50*15))+61.50=?
Answer:
-1
Step-by-step explanation:
So you are asked to find 3f(1)-4g(-2).
In order to find this you must first find f(1) and g(-2).
So f(1) means what is the value of the expression 3x-2 for when x=1.
f(1)=3(1)-2
f(1)=3-2
f(1)=1
And g(-2) mean what is the value of the expression 5-x^2 for when x=-2.
g(-2)=5-(-2)^2
g(-2)=5-(4)
g(-2)=5-4
g(-2)=1
So both of those function values were 1.
Our problem of 3f(1)-4g(-2) becomes 3(1)-4(1)=3-4=-1.