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deff fn [24]
3 years ago
12

Show that 4(m + 7) + (m + 3)^2 = (m + 3)(m + 7) + 16

Mathematics
1 answer:
anygoal [31]3 years ago
4 0

Step-by-step explanation:

4(m+7)+(m+3)^2=(m+3)(m+7)+16\\\\L_S=4(m+7)+(m+3)^2\\\\\text{use the distributive property}:a(b+c)=ab+ac\\\text{and formula}:\ (a+b)^2=a^2+2ab+b^2\\\\L_S=(4)(m)+(4)(7)+m^2+2(m)(3)+3^2\\\\L_S=4m+28+m^2+6m+9\qquad\text{combine like terms}\\\\L_S=m^2+(4m+6m)+(28+9)\\\\L_S=m^2+10m+37

R_S=(m+3)(m+7)+16\\\\\text{use FOIL}:(a+b)(c+d)=ac+ad+bc+bd\\\\R_S=(m)(m)+(m)(7)+(3)(m)+(3)(7)+16\\\\R_S=m^2+7m+3m+21+16\qquad\text{combine like terms}\\\\R_S=m^2+(7m+3m)+(21+16)\\\\R_S=m^2+10m+37\\\\\boxed{L_S=R_S}

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what is the approximate length of arc s on the circle ? A) 5.23 in B) 41.87 in C) 52.36 in D) 104.67 in
vovangra [49]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
Ten members of the academic team went to a local restaurant after their contest. Each meal combo that came with soda cost $6.75,
Aneli [31]

Answer:

7 ordered with Soda;

3 ordered with water

Step-by-step explanation:

Given

m \to With water

n \to With Soda

So:

m + n =10 --- total

5m + 6.75n = 62.25 -- cost

Required

Find m and n

m + n =10

Make m the subject

m = 10 - n

Substitute m = 10 - n in 5m + 6.75n = 62.25

5(10-n) +6.75n = 62.25

50-5n +6.75n = 62.25

Collect like terms

-5n +6.75n = 62.25 - 50

-5n +6.75n = 12.25

1.75n = 12.25

Solve for n

n = 12.25/1.75

n = 7

m = 10 - n

m = 10 - 7

m =3

8 0
3 years ago
Write (x+7)(x−2) as a sum
Dennis_Churaev [7]

Answer:

x^2+5x-14

Step-by-step explanation:

you multiply both equations so that you get:

x^2-2x+7x-14

and then you simplify it to:

x^2+5x-14

<em><u>If you found this helpful please give it a thanks </u></em>

<em><u>I would also appreciate it if you give me a brainliest</u></em>

8 0
2 years ago
WILL<br><br><br><br> GIVE BRAINLIST <br><br><br><br> ANSWER<br><br><br> MATH
Wittaler [7]

Answer:

might be C not sure though

8 0
2 years ago
Solve 8x+2y=13 and 4x+y=11 using substitution
Aleonysh [2.5K]

Answer:

No Solution

Step-by-step explanation:

8x+2y=13                         4x+y=11               Subtract 4x on both sides to isolate y

                                        y=-4x+11       <---- Substitute this equation into the                                            

                                                                     equation 8x+2y=13

8x+2(-4x+11)=13

8x-8x+22=13

22=13 (not true)

No Solution          

                     

4 0
3 years ago
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