let x be the first integer
x+ 2 the second integer ( two consecutive even )
smaller integer added to three times the larger <span>x + 3 ( x+2)
</span>two less than five times the smaller <span>5x - 2</span>
x + 3 ( x+2) = 5x - 2
x+3x +6 = 5x -2
x=8
the first integer = 8
the second is x+2 =10
Answer:
9 ft
Step-by-step explanation:
Here, we have a square wall with a value of 84 square feet for the area and we are told to find the approximate height of the walls
Mathematically, the area of a square is L^2
The height of the walls is just as one of its side
Thus;
L^2 = 84
L = √(84)
L = 9.165
which to the nearest foot is 9 ft
Answer:
Step-by-step explanation:
For ellipses, the length of the major axis is represents as:
Major axis = 
where 
is called the semi-major axis.
In this case since the major axis is equal to 10 units:
solving for the semi-major axis :
and also the minor axis of an ellipse is represented as:
Minor axis = 
where 
is called the semi-minor axis.
Since the minor axis has a length of 8 units:
solving for b:
Now we can use the equation for an ellipse centered at the origin (0,0):
and substituting the values for and :
and finall we simplify the expression to get the equation of the ellipse:
Answer:
vertex at (1, -3)
Step-by-step explanation:
When x = 0
y² + 6y + 1 = 0
y² + 6y + = -1
y² + 6y + 9 = -1 + 9
(y + 3)² = 8 or (-y - 3)² = 8
y + 3 = √8 or -y - 3 = √8
y = - 3 +√8 or y = -3 - √8
(0, - 3 +√8) and (0, -3 - √8)
The mid point between these two is the average
y = ( - 3 + √8 + -3 - √8) / 2 = - 3
y² + 6y + 8x + 1 = 0
(-3)² + 6(-3) + 8x + 1 = 0
9 - 18 + 1 = -8x
- 8 = -8x
x = 1
Answer:
10
Step-by-step explanation:
give brainliest please!
hope this helps :)
so these two angles add up to 180 degrees
7x -3 + 12x -7 = 180
7x+12x=180+7+3
19x=190
x=10
to check if this is true we can input 10 for x in each side.
7(10)-3 = 67
12(10)-7 = 113
113+67 = 180
