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Setler [38]
3 years ago
9

Prove that the value of the expression does not depend on the variable x:

Mathematics
1 answer:
Leviafan [203]3 years ago
8 0

Answer:

See below

Step-by-step explanation:

If an expression is not dependent on x, it simplified form must not contain x. To show that this is the case for (a) and (b) we need to simplify them and assess:

(a)

(x-5)(x+8)-(x+4)(x-1)=\\=x^2-5x+8x-40-x^2-4x+x+4=-36

Indeed, does not depend on x!

And (b)

x^4-(x^2-1)(x^2+1)=x^4-x^4+x^2-x^2+1=1

Again, does not depend on x.

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If the length of one base of a trapezoid is 5, the length of the other base is 2x + 7, and the length of the midsegment is 6x –
enyata [817]

Answer:

x = 6

Step-by-step explanation:

The midsegment of a trapezoid is the line parallel to the parallel sides of the trapezoid, which connects the midpoints of the non-parallel sides.

The length of the midsegment of the trapezoid is half the sum of the length of the parallel sides.

i.e,

Length of the midsegment = (1/2) *(Length of base1 + Length of base2)

6x - 24 = (1/2) * (5 + 2x + 7)

12x - 48 = 2x + 12

10x = 60

x=6

∴ x = 6

8 0
3 years ago
a cargo ship travel 150 mi in 6 hours at a constant speed how far did the cargo ship travel in 1 hour​
ZanzabumX [31]

Answer:

25mi

Step-by-step explanation: 150 divided by 6 is 25

7 0
3 years ago
Need help with this thank you
Mkey [24]
A.b=15
B.m=18/11
C.b=28/3
D.k=18/7
E.j=3/2
F.m=7/2
5 0
3 years ago
The second term from the end of the A.P. 5.8. 11,......47 is
enyata [817]
D = -(8-5) = -3
a = 47
an = a + (n-1)d = 47 + (-3) = 47 - 3 = 44
7 0
3 years ago
Estimate the squrae root to rhe nearest hundredth.
Dafna1 [17]

Answer:

1.11.83

2. 20.12

3. 28.28

4. 33.91

5.80.62

6.24.08

7.17.32

8. 15.81

9. 16.85

10. 28.18

Step-by-step explanation:

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4 0
3 years ago
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