Answer:
(13, 16)
Step-by-step explanation:
Point A has coordinates (3,2) Point b has the coordinates (27,30)
Therefore the width of the diagram = 27 - 3 = 24 units and the height of the diagram = 30 - 2 = 28 unit
The length of the square = 28 unit / 4 square = 7 unit
Also, half of the height of the diagram = 28/2 = 14 unit
Therefore the x coordinate is given by:
27 - (2 × 7) = 27 - 14 = 13 or 27 - 14 (=13) or 3 + 7 + (24 - 3 × 7) = 13
Also, the y coordinate is given by:
30 - (2 × 7) = 30 - 14 = 16 or 30 - 14 (=16) or (30 + 2)÷2 = 16
Therefore the coordinate for point C is given by (13, 16)
Answer:
Slope intercept form:
<em>y = mx + b</em>
What we are given:
49x - 21y = -1,470
we need to keep y on the left side so we subtract 49x from both sides;
-49x -49x
-21y = -49x - 1,470
we need to make y one so we divide by -21 from both sides;
÷-21 ÷-21
y = -49x/-21 - 70
which simplifies to
y = 7x/3 - 70
Answer:
(6,3,0)
Step-by-step explanation:
Given,
x - y + 0z = 3
6x - 0y - 2z = 36
0x + 6y + 2z = 18
You have the following augmented matrix:
(1) 1 -1 0 3
(2) 6 0 -2 36
(3) 0 6 2 18
Let's (3) add to (2) and divide by 6
(1) 1 -1 0 3
(2) 1 1 0 9
(3) 0 6 2 18
Now, let's (2) add to (1) and divide by 2
(1) 1 0 0 6
(2) 1 1 0 9
(3) 0 6 2 18
Let's (3) ÷ 2
(1) 1 0 0 6
(2) 1 1 0 9
(3) 0 3 1 9
Let's (1) subtract from (2)
(1) 1 0 0 6
(2) 0 1 0 3
(3) 0 3 1 9
Finally, let's (2) multiply by 3 and subtract from (3)
(1) 1 0 0 6
(2) 0 1 0 3
(3) 0 0 1 0
Thus,
x = 6, y = 3 and z = 0
The answer is (6, 3, 0)
We have to verify the answer
6 - 3 = 3 ⇒⇒ 3 = 3
6*6 - 5*0 = 36 ⇒⇒ 36 = 36
6*3 + 2*0 = 18 ⇒⇒ 18 = 18
Answer:
336
Step-by-step explanation:
Area of Rhombus = (1/2)*xy
Where x and y are length of diagonals
Area = (1/2) * 21 * 32 = 21* 16 = 336
Area = 336 m²
Step-by-step explanation:
-16(2)<4x(2)-x/2(2)
-32<8x-x
-32<7x
-32/7<7x/7
-32/7<x
-4.5714285714285714<x
~-4.56<x
So after drawing the number line, indicate it starting from negative 4.6 and pointing the arrow towards the right. Do not shade
