Answer:
1/3
Step-by-step explanation:
differentiate first equation to get t , then replace t with 1/3
Make 2 eqn, let a be apples and o be oranges:
1. 5a + 4o = 10
2. 5a + 5o = 11
set up an elimination:
1. minus 2.
5a + 4o = 10
- 5a + 5o = 11
____________
o = 1
sub “o” into one of the eqn
5a + 5(1) = 11
5a = 11-5
5a = 6
a = 6/5
a = 1.2
therefore, an orange costs $1.00 and an apple costs $1.20
Answer:
2
Step-by-step explanation:
If we look at the graph this is an increasing graph where y increases with respect to x so in other words we can say that y is directly proportional to x.
and when we remove the proportionality sign we replace it with an equal to sign and a constant. So it becomes ,
now to find the Constant of proportionality which is k we can use any ordered pair(coordinate/point) from the graph,
Lets take ( 2 , 4) where 2 represents the value of x on the x-axis and 4 represents the value of y on the y-axis so now,
so the constant of proportionality is 2
Answer: Choice A) Triangle ABC is similar to triangle ACD by AA
AA stands for Angle Angle. Specifically it means we need 2 pairs of congruent angles between the two triangles in order to prove the triangles similar. Your book might write "AA similarity" instead of simply "AA".
For triangles ABC and ACD, we have the first pair of angles being A = A (angle A shows up twice each in the first slot). The second pair of congruent angles would be the right angles for triangle ABC and ACD, which are angles C and D respectively.
We can't use AAS because we don't know any information about the sides of the triangle.
