Answer:
1. x = 10
(triangle has equal side lengths)
2. x = the same number inside the triangle
(is that a 40 or 80?)
3. x = 34
(is that a 34?)
4. x = the number shown on the other side of the triangle
(is that a 55?)
5. if the given number is 8 then x = 11
(11-3=8)
6. x = 11
(2x-15=7)
7. x = 5
(65+5=70)
8. x = 10
(5x-10=40)
9. m<2 = 9
(7x-3=60)
10. m<2 = 8
(x+72=80)
hope this helps!
The line n intersects line m and at the point of intersection two angles are formed, which are 3x and x.
Please note that angles on a straight line equals 180 degrees. That means angle 3x and angle x both sum up to 180. This can be expressed as;
3x + x = 180
4x = 180
Divide both sides of the equation by 4 (to eliminate the 4 on the left hand side and isolate the x)
x = 45
Answer:
Number of algae in 7 days = 70.355
Step-by-step explanation:
Given:
Algae in beginning = 50
Rate of increasing = 5% per day = 0.05
Number of days = 7 days
Find:
Number of algae in 7 days.
Computation:
Number of algae in 7 days = 70.355
I realize that the equation is different, but do it in the same way, it'll help! It is given that the water taxi's path can be modeled by the equation y =0.5(x - 14)^2. Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the y-intercept of the line. The y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of equations, solve the system using substitution. First, write the equation that models the water taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for y in the equation and then solve for x. As the expression on the left side of the equation cannot easily be factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.
In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.
