Answer:
y = -x +4
Step-by-step explanation:
2x+5y = 3y+8
Subtract 3y from each side
2x+5y-3y = 3y-3y+8
2x+2y = 8
Subtract 2x from each side
2x+2y -2x = -2x+8
2y = -2x+8
Divide by 2
2y/2 = -2x/2 +8/2
y = -x +4
Make them all fractions over 4, so 3 would be 12/4, and 1 1/4 would be 5/4 so add them together
12/4+5/4= 17/4 then divide by 4 to reduce it, to get 4 1/4
Answer:
y = 18x + 10
slope = 18
y-intercept = 10
Step-by-step explanation:
The situation given in the problem is linear and can be represented using slope-intercept form of a linear equation: y = mx + b, where 'm' is equal to the slope, 'b' is equal to the y-intercept, 'x' is the number of hours and 'y' is the total number of miles.
Given that Jasmine has already biked 10 miles, her initial value, or y-intercept would be 10. Since she is now biking at a rate of 18 miles per hour, her rate of change, or slope, would be 18.
Using these values for 'm' and 'b': y = 18x + 10
Answer:
Step-by-step explanation:
Split the trapezoid as pictured below
Find its height and the upper base, then find the area of the trapezoid.
There are 3 pieces, two of them are 45°×45° and 30°×60°×90° triangles
- The ratio of sides of a 30°×60°×90° triangle is 1 : √3 : 2
- The legs of a 45x45 triangle are equal
<u>The above mentioned properties give us:</u>
- h = 16/2 = 8 m
- b = 8√3 ≈ 13.85 m
- a = h = 8 m
<u>Now find the area:</u>
- A = 1/2( 13 + 8 + 13.85 + 13)*8 = 191.4 m²
Correct choice is B
