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algol13
3 years ago
15

Consider parallelogram ABCD. If AC¯¯¯¯¯¯¯¯=2x+15 and BD¯¯¯¯¯¯¯¯=5x−12, what does the value of x need to be so that the parallelo

gram is a rectangle?
A: 1
B: -9
C: 9
D: 3/7
Mathematics
1 answer:
Marianna [84]3 years ago
4 0

Answer:

9

Step-by-step explanation:

I took the quick check

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Lisa has played in six soccer matches. her brother Josh has played 18 soccer matches. Lisa says josh has played in 12 times as m
Tamiku [17]

Answer:

Josh has played in 3 times as many as Lisa has.

Step-by-step explanation:

She mixed up multiplication and addition.

6+12=18

6*3=18

6 0
3 years ago
The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa
bagirrra123 [75]
<span> (x + 3) • (x - 12)
</span>

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is  <span> -9 </span>.

<span><span>     -36   +   1   =   -35</span><span>     -18   +   2   =   -16</span><span>     -12   +   3   =   -9   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  3 
                     <span>x2 - 12x</span> + 3x - 36

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-12)
              Add up the last 2 terms, pulling out common factors :
                    3 • (x-12)
Step-5 : Add up the four terms of step 4 :
                    (x+3)  •  (x-12)
             Which is the desired factorization

Final result :<span> (x + 3) • (x - 12)</span>
8 0
3 years ago
Find the total surface area of a cuboidal room whose
denpristay [2]

Answer:

174cm^2

Step-by-step explanation:

Given data

L=9m

W=5m

H=3m

The formula for the total surface area of a cuboid is

SA=2lw+2lh+2hw

substitute

SA=2*9*5+2*9*3+2*3*5

SA= 90+54+30

SA= 174cm^2

Hence the surface area is 174cm^2

8 0
3 years ago
Can anyone help me...
Juliette [100K]

Answer:

48 i think

Step-by-step explanation:

3 0
3 years ago
Precalculus question help
Fittoniya [83]
4 + 12/13 = 64/13
4 + 19/20 = 99/20
4 + 26/27 = 134/27
4 + 33/34 = 169/34
4 + 40/41 = 204/41

top: 64, 99, 134, 169, 204 
bottom: 13, 20, 27, 34, 41 

top:
35(1) + 29 = 64
35(2) + 29 = 99
35(3) + 29 = 134
35(4) + 29 = 169
35(5) + 29 = 204

bottom:
7(1) + 6 = 13
7(2) + 6 = 20
7(3) + 6 = 27
7(4) + 6 = 34
7(5) + 6 = 41



answer is C.

35n + 29
------------
 7n + 6


3 0
3 years ago
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