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julsineya [31]
3 years ago
9

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
1 answer:
umka2103 [35]3 years ago
5 0

Answer:

x^2 +23x +49

Step-by-step explanation:

Find the area of the large rectangle

(x+10) * (2x+5)

FOIL

2x^2 +5x+20x+50 = 2x^2 +25x +50

Find  the area of the unshaded square

(x+1) (x+1)

FOIL

x^2 +x+x+1 = x^2 +2x+1

To find the area of the shaded region

Take the area of the large rectangle and subtract the area of the square

2x^2 +25x +50 - (x^2 +2x+1)

Distribute the minus sign

2x^2 +25x +50 - x^2 -2x-1

Combine like terms

x^2 +23x +49

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Consider the following conditional statement. Rewrite the statement in if-then form, and then write the converse, inverse Conver
Jet001 [13]

Given: Right angles are 90 degrees.

if-then: If it is a right angle, then it's 90 degrees.

Converse: If the angle is 90 degrees, then it's a right angle.

Inverse: If it is not a right angle, then it's not 90 degrees.

Contrapositive: If the angle isn't 90 degrees, then it's not a right angle.

Bi-conditional: It is a right angle if and only if it's 90 degrees.

4 0
4 years ago
If the formula for the perimeter of a rectangle is p= 2l+2w then w can be expressed as​
svetlana [45]

Step-by-step explanation:

2L+2W= L*L+W*W= 2*2+2*2= 8

L= lenght

W= width

(the formula of a rectangle is P (perimeter) = 2W (the two widths added together) + 2L (the two lengths added together)

w=2l-p÷2;    w=p-1÷2;     w=p-21÷2     w=p-2w÷21????

6 0
4 years ago
Is 0.4 less than 0.12?
devlian [24]
No, .4 is larger then .12
4 0
4 years ago
Read 2 more answers
Help needed asap !!!!!!
Zinaida [17]

Answer:

b)0, yes

Step-by-step explanation:

Given:

Vectors (4,8) . (6,-3)

Finding inner product of vectors:

= 4x6 + 8x-3

=24-24

=0

Now to check the angle between them using formula a.b=|a|.|b|cosθ

|a|= \sqrt{4^{2} +8^{2} } \\\sqrt{16+64}

   =8.9

|b|=\sqrt{6^{2} +(-3)^{2} } \\\sqrt{36+9}

   =6.7

Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,

0= 8.9(6.7)cosθ

cosθ =0

θ=90 degrees

Hence the two vectors are perpendicular !

7 0
4 years ago
Someone help mewith this please! I'm not sure how to do it? Can someone explain to me please
Fynjy0 [20]

Answer:

7 is the closest estimate for the side length cuz 7 (length) x 7 (width) = 49 squared.

Step-by-step explanation:

hope this helps

4 0
3 years ago
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