Answer:
-108
Step-by-step explanation:
(-2)²(-3)³
When a number has an exponent, it means that the number is being multiplied to itself. For example, in (-2)², it means (-2) multiplied by itself twice since the exponent is 2. And for (-3)³, it means (-3) multiplied by itself 3 times since the exponent is 3.
= (-2)(-2)(-3)(-3)(-3)
Multiply. Remember that two negative numbers multiplied together make a positive number, and a positive and a negative number multiplied together make a negative.
= (4)(-3)(-3)(-3)
= (-12)(-3)(-3)
= (36)(-3)
= -108
Therefore, the answer is -108.
I hope this helps!
Answer:
q=35
Step-by-step explanation:
x2 - 12x + q = 0
Let the two roots be r and r+2.
Factor the quadratic expression:
(x - r)[x - (r + 2)] = 0
Expand, simplify, group like terms, and get
x2 - 2(r + 1)x + r(r + 2) = 0
Compare to
x2 - 12x + q = 0
and set equal the coefficients of like terms:
Coefficient of x:
-2(r + 1) = -12 ⇒ r + 1 = 6 ⇒ r = 5
(Then the other root is r + 2 = 5 + 2 = 7)
Constant term:
r(r + 2) = q ⇒ 5(5 + 2) = q
q = 35
Test the solution:
(x - 5)(x - 7) = x2 - 12x + 35
With two roots differing by 2, you get an equation of the form
x2 - 12x + q = 0
with q = 35.
<span>The Declaration of independence is full of loaded language. It invokes the will of god to support its cause and talks of the power of man and nature. It uses words that conjure visual thoughts, such as dissolving the political bands that held the two nations together. With this language you can visualize these tethers being dissolved. It speaks of equality and drums up feelings of self and National pride.</span>
The approximate diameter of this circle is equal to 6.4 cm.
<u>Given the following data:</u>
- Circumference of a circle = cm.
To determine the approximate diameter of this circle:
<h3>How to calculate the circumference of a circle.</h3>
Mathematically, the circumference of a circle is given by the formula:
<u>Where:</u>
- D is the diameter of a circle.
Substituting the given parameters into the formula, we have;
D = 6.4 cm.
Read more on circumference of a circle here: brainly.com/question/14478195