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Westkost [7]
3 years ago
14

A rectangle has dimensions 3x-1 and x+6. Write an expression for the area of the rectangle as a polynomial in standard form

Mathematics
1 answer:
WITCHER [35]3 years ago
7 0

Answer:

the area product is simply (3x+5).(x+7 which can multiply if desired to obtain highlight3x/2+ 26x + 35.

You can use Completion of the Square on the trinomial product to put this trinomial into standard form. You would want this form to be like (x-h)2 +k.

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8 +7m = m +5m<br><br><br><br><br>5 +2n = -1 +4n
Dmitry_Shevchenko [17]
8 +7m=6m (combine like terms)
8=-m ( subtract 7m on both sides)
m=8 (divide by -1)

5=-1+2n ( subtract 2n on both sides)
6=2n (add 1 on both sides)
3=n (divide by 2 on both sides)
4 0
3 years ago
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.
spin [16.1K]

Answer:

A = 98°, C = 42°, a = 38.5; A = 2°, C = 138°, a = 1.4

Step-by-step explanation:

Use the law of sine

a/sinA=b/sinB=c/sinC

7 0
4 years ago
Which shortcut can be used to prove the triangles are congruent?
Gemiola [76]

Answer:

Option 2: AAS is the right answer

Step-by-step explanation:

In the diagram, two triangles are given with two angle measurements and one non-included side.

It can also be seen that the respective angles of both triangles have same measurement and the non-included side is also congruent.

AAS Postulate:

"AAS postulate states that when two angles and one excluded side are congruent in two triangles then the triangles are congruent."

Hence,

Option 2: AAS is the right answer

6 0
3 years ago
Find the surface area of the rectangular prism. 5ft tall 5 feet long 2 feet wide
Mars2501 [29]

Answer:

46.25 feet squared

Step-by-step explanation:

base area = 5x2 = 10

you need to find how tall the faces of the prism are now. You can do this using the pythagorean theorem: a^2+b^2=c^2

5^2+2.5^2=c^2 and 5^2+1^2=c^2

(since it is a rectangular pyramid)

c= 5.60 and c= 5.01

now be can find the surface area of the 4 triangles

SA= 5.60x2 and SA= 5.01x5

SA=11.2 and SA= 25.05

add all the components (11.2, 25.05, 10) together to get the final surface area: 46.25

6 0
3 years ago
Suppose you are choosing between two checking accounts. One account charges you $1.50 ATM
valentinak56 [21]

Answer:

10

Step-by-step explanation:

$15.00 / $1.50 = 10

4 0
4 years ago
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