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4 years ago

Simplify: 3u+7v+4u−2v

Mathematics

2 answers:

klio [65]4 years ago

5 0

Answer:

7 u + 5 v.

Step-by-step explanation:

Given : 3u+7v+4u−2v

To find : Simplify:.

Solution : We have given

3u+7v+4u−2v

Combine like term

3u + 4u + 7v - 2v

On solving like terms .

7 u + 5 v.

Therefore, 7 u + 5 v.

Helga [31]4 years ago

4 0

7u+5v is the answer.::

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Are and circumfrence of a circle with radius 4 inches

svlad2 [7]

Answer:

area = 50.27 sq inches

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Step-by-step explanation:

given radius r = 4 in

area = πr² = 3.142 x 4² = 50.27 square inches

circumference = 2πr = 2 x 3.142 x 4 = 25.14 inches

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3 years ago

The longer leg of a right triangle is 7 ft longer than the shorter leg. The hypotenuse is 9ft longer than the shorter leg. Find

julia-pushkina [17]

Answer:

8, 15 and 17 feet respectively

Step-by-step explanation:

Let the shorter leg=l feet

The longer leg of a right triangle is 7 ft longer than the shorter leg, therefore Length of the longer leg=(l+7) feet

The hypotenuse is 9ft longer than the shorter leg. Therefore Length of the hypotenuse=(l+9) feet

Using Pythagoras Theorem

$Hyp^2=Opp^2+Adj^2\\(l+9)^2=l^2+(l+7)^2\\(l+9)(l+9)=l^2+(l+7)(l+7)\\l^2+9l+9l+81=l^2+l^2+7l+7l+49\\l^2+18l+81=2l^2+14l+49$

This results into:

$2l^2-l^2+14l-18l-81+49=0$

$l^2-4l-32=0\\l^2-8l+4l-32=0\\l(l-8)+4(l-8)=0\\(l-8)(l+4)=0$

l-8=0 or l+4=0

l=8 or -4

Since length cannot be negative, The length l=8 feet

The sides of the rectangle are therefore: 8, 15 and 17 feet respectively

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3 years ago

Can someone plz help me only if Yk how to do it !!!!

Shtirlitz [24]

Yes it’s correct because 9 is x and if you substitute you do 9 x -9 which gives you y and is -81

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3 years ago

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Hope this helps.

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