Answer:
Step-by-step explanation:
To solve this system of equations, let's first find the value <em>y</em>. We can replace the x in the second equation with 11 + y, since we are told in the <em>first</em> equation that x is equal to 11 + y. So, let's replace x:
2(11 + y) + y = 19
22 + 2y + y = 19
22 + 3y = 19
3y = -3
y = -1
And look at that - we've found our y-value! Now, we can replace the y in the <em>first</em> equation with -1 to find the value of x.
x = 11 + (-1)
x = 10
So, the solution to this system of equations is (10, -1). Hopefully that's helpful!
Refer to the diagram attached.
TRIANGLE ABC
The height of the tree is the segment AB. The shadow of the tree is BC.
TRIANGLE DEC
Tanya's height is 5 feet 3 inches (since there are 12 inches in one foot that is (5)(12)+3 = 63 inches).
Tanya's shadow is EC
Since both triangles are right triangles (the both have a right angle) and they share the angle at C, they are similar triangles. That means that their corresponding angles are congruent and their corresponding sides are in proportion.
We can set up the following proportion:
(tree height / tree shadow) = (Tanya's height / Tanya's shadow)
BE is 2.5 times EC. This means that BE is (2.5)(EC). It also means that BC = 2.5EC + EC = 3.5EC
The shadow of the tree is 3.5 times Tanya's shadow. That means that the height of the tree must be 3.5 times Tanya's height.
The height of the tree is (3.5)(63) = 220.5 inches. If we divide this by 12 we get 18.375 which means 18 feet and some inches. (18)(12)=216 and the tree is 220.5. That means the tree is 18 feet and 4.5 inches.
Answer:
Step-by-step explanation:
<u>From the graph we can get the intercepts:</u>
- The y-intercept (0, - 1)
- The x-intercept (4, 0)
<u>The rate of change (slope) is:</u>
Answer: A
because: I believe that the right answer not sure