Answer:
<h2>(x-4)</h2>
Step-by-step explanation:
Step 1 : Write +2x as a difference
= x^2-4x+6x-24
Step 2: Factorize out common terms
= x(x-4)+6(x-4)
Factorize out (x-4)
(x-4)(x+6)
Answer:
Step-by-step explanation:
The relevant relations here are ...
- the sum of arc measures in a semicircle is 180°
- the sum of angles in a triangle is 180°
<h3>Arc measures</h3>
The given arc CD is part of the semicircular arc CDA. The remaining arc, DA, is the supplement of CD:
arc DA = 180° -CD = 180° -125° = 55°
Central angle AOD has the same measure, 55°. That is one of the acute angles in right triangle AOB, so the other one is the complement of 55°.
∠ABO = 90° -∠AOB = 90° -55°
∠ABO = 35°
<h3>Triangle angles</h3>
In right triangle ABC, angle ABC is given as 55°. The other acute angle, ACB, will be the complement of this.
∠ACB = 90° -∠ABC = 90° -55°
∠ACB = 35°
In the figure, angles ABO and ACB have measures of 35°.
Answer:
640 bacteria.
Step-by-step explanation:
Make a chart.
Bacteria Weeks
40 0
80 1
160 2
320 3
640 4
It starts off with 40 bacteria, which means no weeks have passed so far. That is why 40 pairs with 0 rather than 1.
Answer:
(2.4)(-1.8) and (0.6)(-0.4)
Step-by-step explanation:
The product of two negative numbers = a positive number. (negative × negative = positive).
Product of two positive numbers = a positive number. (Positive × positive = positive)
Product of a negative number and a positive number = a negative number. (Negative × positive = negative).
Therefore, the answer choice that shows two products that both will result in negative values would be the answer choice that has a negative number multiplying a positive number.
Option 3 has two products in which each has a negative and positive number. That is (2.4)(-1.8) = a negative value, and
(0.6)(-0.4) = a negative value.
Therefore, the answer is Option 3: (2.4)(-1.8) and (0.6)(-0.4)