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DENIUS [597]
3 years ago
11

Write an equivalent expression by applying the distributive property or drawing a diagram. You MUST show all work

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
3 0
Here is the answer to the equation. The photo below is the work shown.

x^2-3x-18

Mila [183]3 years ago
3 0

Answer:

Step-by-step explanation:

(x+3)(x-6)

x(x-6)+3(x-6)

x^-6x+3(x-6)

x^-6x+3x-18

x^-3x-18

Solution:

x^-3x-18

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Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round
TEA [102]
In the right triangle, the longest side is the hypotenuse.
Let α be the angle opposite to the side with a length of 12 units, <span>then according to the Law of sines:

</span>\frac{13}{sin90^o}= \frac{12}{sin \alpha }   \ \ \to \ \ sin \alpha = \frac{12 \cdot sin90^o}{13}=  \frac{12*1}{13}  \approx 0.923 \ \ \to \ m\angle  \alpha \approx 67^o

In a triangle, the three interior angles always add to 180° ⇒

third angle = 180 - 90 - 67 = 23°

Answer:
67° and 23°  (to the nearest degree).
4 0
3 years ago
Read 2 more answers
Y varies directly with x, and y = 5 when x = 4. What is the value of x when y = 8?
Tomtit [17]
As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)
7 0
3 years ago
Round to the given place value hundreds and tens 547 , 609 and 990
myrzilka [38]
The first number will be 500
the second number will be 600
and the last number will be 990

8 0
3 years ago
Read 2 more answers
Phil baked two kinds of pie. Each pie pan was the same size. He served 1/2 of the blueberry pie. He served 1/4 of the apple pie.
USPshnik [31]
He served 2/8 of the apple pie. And he served 2 more slices of the blueberry pie than the apple pie
6 0
3 years ago
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Sylvia invested 500 in an account compounded annually with an interest rate of 8%. Manuel invested 600 in an account with a comp
il63 [147K]

Answer:

Sylvia's investment would double first

Step-by-step explanation:

The number of years it takes for amount invested to double itself using the 72 rule is 72 divided by rate of interest as computed below:

Sylvia investment:

Sylvia's investment would double in 9 years' time  (72/8)

Manuel's investment"

Manuel investment of $600 would double itself in 9.9 years' time (72/7.25)

From the above analysis,Sylvia's investment of $500 at the 8% rate of interest would double first

8 0
3 years ago
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