It's <span>Diophantine equation.
First, we need to found gcd(6,(-2)):</span>
6=2*3
(-2)=(-1)*2
So, gcd(6,-2)=2
Now, the question is. Can we dived c=24, by gcd(6,-2) and in the end get integer?
Yes we can.
So, we can solve it.
Now is the formula:
Second, we need the first pair (x0,y0)
if
x=0
then
Third, we gonna use that formula:
Congratulations! We solve it.
Answer:
200 miles
Step-by-step explanation:
1 inch = 100 miles
2 inch = 2*100 = 200 miles
Every straight line graph has an equation in the same form:
y = (slope of the line) x + (y-intercept) .
-- The slope of the line is
(how far it goes UP, going left to right between any 2 points)
divided by
(how far it goes left to right between the same 2 points) .
The line on this graph has a slope of + 1/2 .
-- The y-intercept is the point where the line crosses the y-axis.
The line on this graph crosses the y-axis at -1 .
y = (slope of the line) x + (y-intercept) .
y = ( 0.5 ) x ( - 1 ) .
Answer:
The approximated length of EF is 2.2 units ⇒ A
Step-by-step explanation:
<em>The tangent ratio in the right triangle is the ratio between the opposite side to the adjacent side of one of the acute angle in the triangle</em>
In the given figure
∵ The triangle DFE has a right angle F
∵ The opposite side to angle D is EF
∵ The adjacent side to angle D is DF
→ By using the tangent ratio above
∴ tan(∠D) = 
∵ DF = 6 units
∵ m∠D = 20°
→ Substitute then in the ratio above
∴ tan(20°) = 
→ Multiply both sides by 6
∴ 6 tan(20°) = EF
∴ 2.183821406 = EF
→ Approximate it to the nearest tenth
∴ 2.2 = EF
∴ The approximated length of EF is 2.2 units
The answer is 40°
i will tell you how,
Total angle sum of any triangle is 180°
∠A + ∠B + ∠E = 180°
70° + 80° + ∠E = 180°
solve for ∠E
∠E = 30°
Now solve use ∠BDE,
∠B + ∠D + ∠E = 180°
20° + 90° + 30° + x = 180° (in triangle DEB, ∠E = 30 + x ) (∠D is 90°)
solve for x
there fore, x = 40°
