Answer:
$245
Step-by-step explanation:
Orignal price for shirt was 105
Original price for shoe sizes was 140
105+140=245
Answer:
.
Step-by-step explanation:
Distance formula : Distance between points (a,b) and (c,d) is given by :-
![D=\sqrt{(d-b)^2+(b-a)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28d-b%29%5E2%2B%28b-a%29%5E2%7D)
Distance between points
.
![D=\sqrt{(2\sqrt{3}-(-\sqrt{12}))^2+(-\sqrt{32}-(-4\sqrt{2}))}\\\\=\sqrt{(2\sqrt{3}+\sqrt{2\times2\times3})^2+(-\sqrt{4\times4\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}-\sqrt{2^2\times3})^2+(-\sqrt{4^2\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}+2\sqrt{3})^2+(-4\sqrt{2}+4\sqrt{2})^2}\\\\=\sqrt{(4\sqrt{3})^2+0}\\\\=4\sqrt{3}\text{ units}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%282%5Csqrt%7B3%7D-%28-%5Csqrt%7B12%7D%29%29%5E2%2B%28-%5Csqrt%7B32%7D-%28-4%5Csqrt%7B2%7D%29%29%7D%5C%5C%5C%5C%3D%5Csqrt%7B%282%5Csqrt%7B3%7D%2B%5Csqrt%7B2%5Ctimes2%5Ctimes3%7D%29%5E2%2B%28-%5Csqrt%7B4%5Ctimes4%5Ctimes2%7D%2B4%5Csqrt%7B2%7D%29%5E2%7D%5C%5C%5C%5C%3D%5Csqrt%7B%282%5Csqrt%7B3%7D-%5Csqrt%7B2%5E2%5Ctimes3%7D%29%5E2%2B%28-%5Csqrt%7B4%5E2%5Ctimes2%7D%2B4%5Csqrt%7B2%7D%29%5E2%7D%5C%5C%5C%5C%3D%5Csqrt%7B%282%5Csqrt%7B3%7D%2B2%5Csqrt%7B3%7D%29%5E2%2B%28-4%5Csqrt%7B2%7D%2B4%5Csqrt%7B2%7D%29%5E2%7D%5C%5C%5C%5C%3D%5Csqrt%7B%284%5Csqrt%7B3%7D%29%5E2%2B0%7D%5C%5C%5C%5C%3D4%5Csqrt%7B3%7D%5Ctext%7B%20units%7D)
Hence, the correct option is
.
Answer:
x=0, yes.
Step-by-step explanation:
3x+8=5x+8
5x-3x+8=8
2x+8=8
2x=8-8
2x=0
x=0/2
x=0
Answer:
t+4, t≠8
Step-by-step explanation:
![\dfrac{t^2-4t-32}{t-8}=\dfrac{(t+4)(t-8)}{(t-8)}=t+4](https://tex.z-dn.net/?f=%5Cdfrac%7Bt%5E2-4t-32%7D%7Bt-8%7D%3D%5Cdfrac%7B%28t%2B4%29%28t-8%29%7D%7B%28t-8%29%7D%3Dt%2B4)
The value of t must not be one that makes the denominator zero, hence must not be 8.
Answer:
-40
-6
51
Step-by-step explanation:
-33+-7 you are adding two negatives
9+(-15) you are adding a negative to a positive which gets you closer to zero
5-(-46) you are subtracting a negative which is adding