Answer:
17
Step-by-step explanation:
Let us suppose two years ago my brother's age was x years
Then, my age was 3x
Three years from now, my brother's age will be (x +2+3) = (x+5) years
And my age will be (3x+2+3) = (3x+5) years
But it is given that i will be twice as old as my brother.
So, 2(x+5)= (3x+5)
or, x= 5 years
So my brother's present age is 5+2= 7 years
And my age is 5*3+2= 17 years
Answer:
One avocado costs $1 and one tomato costs $0.50
Step-by-step explanation:
Set up a system of equations where t is the number of tomatoes and a is the number of avocados:
4t + 8a = 10
6t + 14a = 17
Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:
12t + 24a = 30
-12t - 28a = -34
Add them together and solve for a:
-4a = -4
a = 1
Plug in 1 as a into one of the equations and solve for t:
4t + 8a = 10
4t + 8(1) = 10
4t + 8 = 10
4t = 2
t = 0.5
So, one avocado costs $1 and one tomato costs $0.50
Answer:
F-1(x)=x+8
Step-by-step explanation:
What is the inverse of y=r? + 8?
I hope this help.
Refer to the image attached.
Given:
and
are congruent.
To Prove:
ABC is an isosceles triangle.
Construction: Construct a perpendicular bisector from point B to Line segment AC.
Consider triangle ABD and BDC,
(given)
(By the definition of a perpendicular bisector)
(By the definition of a perpendicular bisector)
Therefore,
by Angle Side Angle(ASA) Postulate.
Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)
The ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity.
<h3>
Definitions of dimensions in ellipses</h3>
Dimensionally speaking, an ellipse is characterized by three variables:
- Length of the <em>major</em> semiaxis (
). - Length of the <em>minor</em> semiaxis (
). - Distance between the foci and the center of the ellipse (
).
And there is the following relationship:
(1)
Another variable that measure how "similar" is an ellipse to a circle is the eccentricity (
), which is defined by the following formula:
,
(2)
The greater the eccentricity, the more similar the ellipse to a circle.
Therefore, the ratio of the distance between the foci and the length of the <em>major</em> axis is called eccentricity. 
To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943