Let's simplify step-by-step.
<span><span>18x</span>+6
</span>There are no like terms.
Answer:
<span>=<span><span>18x</span>+<span>6
or
</span></span></span>Factor <span><span>18x</span>+6
</span><span><span>18x</span>+6
</span><span>=<span>6<span>(<span><span>3x</span>+1</span>)
</span></span></span>Answer:
<span>6<span>(<span><span>3x</span>+1</span><span>)</span></span></span>
Answer:
Step-by-step explanation:
*Notes (clarified by the person who asked this question):
-The triangle on the right has a right angle (angle that appears to be a right angle is a right angle)
-The bottom side of the right triangle is marked with a question mark (?)
<u>Triangle 1 (triangle on left):</u>
Special triangles:
In all 45-45-90 triangles, the ratio of the sides is , where is the hypotenuse of the triangle. Since one of the legs is marked as , the hypotenuse must be
It's also possible to use a variety of trigonometry to solve this problem. Basic trig for right triangles is applicable and may be the simplest:
<u>Triangle 2 (triangle on right):</u>
We can use basic trig for right triangles to set up the following equations:
,
We can verify these answers using the Pythagorean theorem. The Pythagorean theorem states that in all right triangles, the following must be true:
, where is the hypotenuse of the triangle and and are two legs of the triangle.
Verify
Answer:
Assuming the x-6 is under the square root sign, the value must be greater than 6 because you can not have 0 in the domain. That narrows it down to either B or C but since the denominator can not be anything less than 0, your answers will always be positive so that means the answer is Its domain is (6,∞)
Answer:
The total cost of the microscope=$37.50
Step-by-step explanation:
Step 1: Get the discount amount
Discount amount=Discount rate×original price
where;
original price=$75
discount rate=60%
replacing;
Discount amount=(60/100)×75=45
Discount amount=$45
Step 2: Calculate sale price
The sale price can be calculated as;
sale price=Original price-discount amount
where;
discount=$45
original price=$75
replacing;
Sale price=(75-45)=$30
Step 3: Calculate tax amount
Tax=10% of original price=(10/100)×75=7.5
Step 4: Total cost of microscope
Total cost=sale price+tax
where;
sale price=30
tax=7.50
replacing;
Total cost=(30+7.50)=37.50
The total cost of the microscope=$37.50
Answer: 17
Step-by-step explanation:)