The way this question is worded is quite confusing. If all you have given is ‘58 books to 65 books’, maybe you mean a range? In that case the range would be 7. Or you could be talking about how many books it would take for 58 to get to 65. In this case, it would also be 7.
Answer:
(1, 5 ) and (3, - 1 )
Step-by-step explanation:
Given the 2 equations
3x + y = 8 → (1)
x² + xy = 6 → (2)
Rearrange (1) expressing y in terms of x by subtracting 3x from both sides
y = 8 - 3x → (3)
Substitute y = 8 - 3x into (2)
x² + x(8 - 3x) = 6 ← distribute and simplify left side
x² + 8x - 3x² = 6
- 2x² + 8x = 6 ( subtract 6 from both sides )
- 2x² + 8x - 6 = 0 ← divide both sides by - 2
x² - 4x + 3 = 0 ← in standard form
(x - 1)(x - 3) ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 3 = 0 ⇒ x = 3
Substitute these values into (3) for corresponding values of y
x = 1 : y = 8 - 3 = 5 ⇒ (1, 5)
x = 3 : y = 8 - 9 = - 1 ⇒ (3, - 1)
Solutions are (1, 5 ) and (3, - 1 )
Answer:
AC= 20
Step-by-step explanation:
since the two figures are similar, CB Is congruent to FD
since image/preimage, 12/3 =4
The dilation is 4.
AC is congruent to EF
EF=5
4 x 5 = 20
AC=20
someone correct me if im wrong :)
Step-by-step explanation:
tan(∠A) = Y/X = 44/33 = 4/3 --> A.