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MrMuchimi
3 years ago
6

Factor Xsquared +12x+27

Mathematics
1 answer:
____ [38]3 years ago
3 0

Answer:

(x+3)(x+9)

Step-by-step explanation:

We are given the expression x^2+12x+27

This means that we are looking for two numbers that would add together to give us 12 and multiply to give us 27.

The two numbers that fit this description are 3 and 9.

This means that the factored form of the expression would be

(x+3)(x+9)

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Find the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4)
Zolol [24]

Answer:

y = 8

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides and three angles of both triangles are equal.

The distance between two points on the coordinate plane is given as:

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\

In triangle ABC:

|AB|=\sqrt{(2-8)^2+(6-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|AC|=\sqrt{(5-8)^2+(0-4)^2}=5\\\\|BC|=\sqrt{(5-2)^2+(0-6)^2    }=\sqrt{45}

In triangle MNO:

|MN|=\sqrt{(1-7)^2+(2-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|MO|=\sqrt{(4-7)^2+(y-4)^2}\\\\|NO|=\sqrt{(4-1)^2+(y-2)^2    }

Since triangle ABC and triangle MNO are congruent, hence:

|AB| = |MN| = 2√10, |AC| = |MO| = 5, |BC| = |NO| = √45

|AC|=|MO|=5\\\\\sqrt{(4-7)^2+(y-4)^2}=5\\\\(4-7)^2+(y-4)^2=25\\\\9 +(y-4)^2=25\\\\(y-4)^2=16\\\\square\ root\ of\ both\ sides:\\\\y-4=4\\\\y=4+4\\\\y=8

Hence O = (4, 8)

3 0
3 years ago
Is -15.51+ 8.55 positive or negative​
kherson [118]

Answer:

negative

Step-by-step explanation:

4 0
3 years ago
56000 isn't even an answer my guy
Schach [20]
....yup get it I guess
8 0
3 years ago
Ginny's house is 20 yards long. She says that the house is 720 feet long. Is Ginny correct
SpyIntel [72]
1 yard= 3 feet
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720 divide 3= 240
So it should be 240 yard
So it is incorrect
4 0
3 years ago
Read 2 more answers
What is the area in square inches?
miv72 [106K]

Answer:

946 Sq Inches

Step-by-step explanation:

just cut it off to make two rectangles

28 * 7 = 196

30*25= 750

then add em up

750+196 = 946

8 0
3 years ago
Read 2 more answers
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