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Rashid [163]
3 years ago
7

Considering that the expression 5a + 5a + 5ab + 5ab is equivalent to 10a + 10ab, what is an equivalent expression for 6abc + 6ab

c + 6abc?
A) 18abc
B) 18a + 18b + 18c
C) 18a + 18ab + 18abc
D) 216a + 216b + 216c
Mathematics
1 answer:
rusak2 [61]3 years ago
8 0
Your Answer Would Be A) 18abc
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Given: ∆ABC –iso. ∆, m∠BAC = 120°
lidiya [134]

Answer: P\triangle ADH = (a+b+\sqrt{a^2+b^2} ) unit

Step-by-step explanation:

Since Here Δ ABC is a isosceles triangle.

Also, AH\perp BC and HD\perp AC

Thus, ∠ ADH = 90°

That is, Δ ADH is the right angle triangle.

In which, AD = a unit and HD = b unit

And, By the definition of Pythagoras theorem,

AH^2 = HD^2 + AD^2

⇒ AH^2 = a^2 +b^2

⇒ AH = \sqrt{a^2+b^2}

Since, the perimeter of a triangle = sum of the all sides of the triangle.

Therefore, perimeter of ΔADH = AD + DH + AH

= a + b + \sqrt{a^2+b^2} unit

4 0
3 years ago
I need help with this problem.<br> x3+4x
Yuki888 [10]

Answer: x=0 x=2i x=-2i

if your factoring: x(x^2+4)

Step-by-step explanation:

(if your solving for x)

x^{3} +4x\\x(x^{2} +4)\\\\x=0\\\\x=\frac{-b}{2a}\frac{+}{-} \frac{\sqrt{b^2-4ac}}{2a} \\\\x=\frac{0}{2}\frac{+}{-} \frac{\sqrt{0^2-16}}{2} \\x={0}}\frac{+}{-} \frac{\sqrt{-16}}{2} \\

x={0}}\frac{+}{-} \frac{4i}{2} \\\\\\x=\frac{+}{-}2i

6 0
2 years ago
On Dan's eReader, 2/3 of the books are fiction. Of the fiction books,4/5 are mysteries. What fraction of the books on Dan's eRea
Nitella [24]

Answer:

Step-by-step explanation:

Let's take a real situation. Suppose he has 1500 books in total

2/3 of them are fiction. Of means multiply.

them = 1500

2/3 * 1500 = 3000/3 = 1000

Now of the one thousand fiction books 4/5 of them are mysteries.

4/5 * 1000 = 4000/5 = 800.

Now let's see what happens when we just do this by answering the question directly.

2/3 * 4/5 = 8/15 This has the meaning that 8 out of every 15 books = mysteries.

Try this on the 1500 books.

8/15 * 1500 = 9000/15 = 800. So the answers are the same and the answer the computer expects should be 8/15 or 0.533333333

Just to check, does 0.5333333 * 1500 = 800? Try it.

8 0
3 years ago
Please help me !!! right answers only
777dan777 [17]

Answer:

option E is the only right answer.

Step-by-step explanation:

parallel means that the lines do not intersect.

5 0
3 years ago
A ____ of a triangle is the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite s
blagie [28]

Answer:

Altitude

Step-by-step explanation:

An altitude of the triangle is the line segment from a vertex to the opposite side and perpendicular to the opposite side. The orthocenter will not always be inside the triangle. This is why the orthocenter is the point of concurrency of the lines containing the altitudes rather than just the altitudes.

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