Answer:
-8k - 15
Step-by-step explanation:
5(-2k-3)+2k
At first, we will break the parenthesis. To break that, we will multiply the value inside the parenthesis by the adjacent number, that is 5. Again, we have to consider the Algebraic operation (Golden rule) -
[(-) x (-) = (+); (+) x (-) = (-)]
Therefore, since there is a minus sign in each of the value inside the parenthesis, the result will be minus as 5 is a positive integer.
or, -5*(2k) - (5*3) + 2k
or, -10k - 15 + 2k
or, -8k - 15 (after the deduction)
The answer is = -8k - 15
Answer:
The inverse is y = x + 5
Step-by-step explanation:
The general equation of a straight line is;
y = mx + c
In this case , the y-intercept is -5
So the partial equation is;
y = mx - 5
To get m, we use the x-intercept
The x-intercept coordinate is (5,0)
Insert this in the equation , we have;
0 = 5m-5
5m = 5
m = 5/5
m= 1
The equation of the line is thus;
y = x-5
So we want to find the inverse of this;
Replace x with d
y = d-5
Make d the subject of the formula
d = y + 5
replace d with x
x = y + 5
now replace x with y
So we have
y = x + 5
The area of that figure is 2453.25 square feet
First, you would need to find the area of the rectangle
(L)(W)
(70)(30)
2100
Then since it is only a semi circle, the formula is pi*r^2/2
You find the area of a full circle first
(3.14)(15^2)
(3.14)(225)
706.5
Then you divide that by 2 since it’s only half a circle
706.5/2 = 353.25
Finally you add that by the area of the rectangle
2100 + 353.25 = 2453.25 square feet
Here is a reference to the Inscribed Quadrilateral Conjecture it says that opposite angles of an inscribed quadrilateral are supplemental.
Explanation:
The conjecture, #angleA and angleC# allows us to write the following equation:
#angleA + angleC=180^@#
Substitute the equivalent expressions in terms of x:
#x+2+ x-2 = 180^@#
#2x = 180^@#
#x = 90^@#
From this we can compute the measures of all of the angles.
#angleA=92^@#
#angleB=100^@#
#angleC=88^@#
<span>#angleD= 80^@#</span>
