Answer:
Step-by-step explanation:
Set up the following ratio which applies to all angle bisectors and the side opposite.
8 / (x + 4) = 12 / (2x + 1) Cross multiply
8 * (2x + 1) = 12 * (x + 4)
16x + 8 = 12x + 48 Subtract 8 from both sides
16x + 8 -8 = 12x + 48-8
16x = 12x + 40 Subtract 12x from both sides
16x - 12x = 40
4x = 40 Divide by 4
4x/4 = 40/4
x = 10
Answer:
Option J
Step-by-step explanation:
Newton's Universal Law Of Gravitation
Newton discovered that all objects attract each other with a force of gravitational attraction which is proportional to their masses and inversely proportional to the square of the distance between them.
Where 
are the masses in kg and d is the distance between them in meters.
In the problem, we have
Answer:
To solve this problem you can divide the figure is known figures that have exact formulas for calculate their areas. As you can see in the figure attached, you can divide in two trapezoids, one rectangle and two right triangles. Therefore, you have:
Area=((4+3)6)/2+((6+3)5)/2+(3x1)+(3x4)/2+(3x3)/2
Area=21+22.5+3+6+4.5
Area=57
The answer is: The area is 57
The sign of the leading coefficient can be found using the graph of a polynomial function.
<h3>What is polynomial?</h3>
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
We have given the graph of polynomial functions:
In the first graph:
The leading coefficient is positive.
x → ∞, f(x) → ∞
x → -∞, f(x) → -∞
Degree of a function = 3
In the second graph:
The leading coefficient is negative.
x → ∞, f(x) → -∞
x → -∞, f(x) → -∞
Degree of a function = 4
In the third graph:
The leading coefficient is positive.
x → ∞, f(x) → ∞
x → -∞, f(x) → ∞
Degree of a function = 4
In the fourth graph:
The leading coefficient is negative.
x → ∞, f(x) → -∞
x → -∞, f(x) → ∞
Degree of a function = 3
Thus, the sign of the leading coefficient can be found using the graph of a polynomial function.
Learn more about Polynomial here:
brainly.com/question/17822016
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Answer:
-18
Step-by-step explanation:
Let x be our number. First we have to write our equation.
The product of a number and -8 is represented as -8x (-8 multiplied by x). Remember that 'product' signifies multiplication.
The result is eight times the sum of x and 36. This is represented as 8(x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.
So our equation is:
-8x = 8(x + 36)
We can now solve for x. First, expand the bracket.
-8x = 8x + 288
Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.
-8x - 8x = 8x + 288 - 8x
-16x = 288
Divide both sides by -16
x = -18
