Let’s turn the mixed number into a fraction
3/2 x 1/2
Multiply across
3/4
Hope this helps!
Answer:
k = 5 and (6,2).
Step-by-step explanation:
Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.
Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.
So, 3(1) - k(-1) = 8
⇒ 3 + k = 8
⇒ k = 5 (Answer)
Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)
Now, putting x = 6 , then from equation (1) we get y = 2
Therefore, (6,2) is also a point on the graph of equation (1). (Answer)
9514 1404 393
Answer:
x - 6
Step-by-step explanation:
For values of x greater than or equal to 6, the difference x-6 is non-negative, so the absolute value function does nothing. The value is ...
x -6
Answer:
(C) 18cm, 39cm, 21cm and 45cm.
Step-by-step explanation:
The quadrilateral HIJK has sides measuring 12 cm, 26 cm, 14 cm, and 30 cm.
When HIJK is dilated with a scale factor of 1.5, the side lengths becomes:
12 X 1.5 =18 cm
26 X 1.5 =39 cm
14 X 1.5 =21 cm
30 X 1.5 =45 cm
A dilation of HIJK with a scale factor of 1.5 will give us the side lengths:
18cm, 39cm, 21cm and 45cm.
<u>The correct option is C.</u>
ANSWER
672cm²
EXPLANATION
The area of a regular hexagon is given by the formula,

where a=14cm is the apothem and p=96cm is the perimeter of the regular hexagon.
We substitute the values into the formula,


Therefore the approximate area of the hexagon is 672cm²