Answer:
x + a + 2
Step-by-step explanation:
g(a) = a² + 2a
g(x) - g(a) = x² + 2x - a² - 2a
= x² - a² + 2x - 2a
= (x - a)(x + a) + 2(x - a)
= (x - a)(x + a + 2)
[g(x) - g(a)] ÷ (x - a)
= x + a + 2
Answer:
7.25
Step-by-step explanation:
10,9.75,9.5,9.25,
the rest of the sequence would look like
8, 7.75, 7.5, 7.25, 7, 6.75, 6.5, 6.25, 6 etc.
(the pattern is - .25 from the previous number.
so the 8th number in this sequence is 7.25
hope this helps!!:)
Given,
- HK is the perpendicular bisector of GJ. So, <u>GK = KJ</u>.
- GK = 2x + 10
- KJ = 3x - 15
_______________
Find KJ .
_______________
First find the value of x

Now, find the value of KJ.

-> The value of KJ is <u>6</u><u>0</u><u>.</u>
_______________
Hope it helps.
RainbowSalt2222
Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle. This can be obtained by finding each shaded area and then adding them.
<h3>Find the expression for the area of the shaded regions:</h3>
From the question we can say that the Hexagon has three shapes inside it,
Also it is given that,
An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon.
From this we know that equilateral triangle is the smallest, then square, then regular pentagon and then a regular hexagon.
A pentagon is shown inside a regular hexagon.
- Area of first shaded region = Area of the hexagon - Area of pentagon
An equilateral triangle is shown inside a square.
- Area of second shaded region = Area of the square - Area of equilateral triangle
The expression for total shaded region would be written as,
Shaded area = Area of first shaded region + Area of second shaded region
Hence,
⇒ Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle.
Learn more about area of a shape here:
brainly.com/question/16501078
#SPJ1
Answer: Hence, our required probability is 
Step-by-step explanation:
Since we have given that
Numbers in a lottery = 60
Numbers to win the jackpot = 7 numbers
We need to find the probability to hit the jackpot:
So, our required probability is given by

This is a combination problem as we need to select 7 numbers irrespective of any arrangements.
Hence, our required probability is [tex]\dfrac{1}{386206920}[/tex