Marcia dissolved 1 kg of salt in 3 litres of water.
Bobby dissolves 2 pounds of salt in 7 pints of water
2.11 pints = 1 litre
7 pints = 7/2.11
= 3.32 litre
1 pound =0.45 kg
2 pound = o.45*2 kg
= 0.9 kg
So we find that Bobby is dissolving 0.9kg of salt in 3.32 litre of water
Marcia is dissolving 1 kg of salt in 3 litres of water.
We need to swap the numerator and denominator, and change the sign of one of them to get a perpendicular slope.5x + 10y = c. Now subtract the point.
5(-4) + 10(7) = -20 + 70 = 50 = c
5x + 10y = 50 is an equation. If we want, we can divide everything by 5 to get x + 2y = 10.The more usual way to do these is put the equation in slope-intercept form by solving for y. 10x-5y=8 -5y = -10x + 8 y = 2x - 8/5 Now you have the slope of the original line, 2. Any line perpendicular to this one must have a slope that is the negative reciprocal of this one, -1/2 So this new line must be y = -1/2 x + c .Now subtract in point to solve for c.
7 = (-1/2)(-4) + c 7 = 2+c
5 = c
y = -1/2 x + 5
The first time we solved we got this.
x + 2y = 10 but, if we divide everything by 2, we get 1/2 x + y = 5 So... subtract 1/2 x from both sides and you have identical equations. So the two are equivalent. The answer is y = -1/2 x + 5
Hope this helped!
The numbers are 2 and 8 because the ratio of 6 to 3 is 2:1
Answer:
The sequence of transformations that shows that Polygon A is congruent to Polygon B is given as follows;
1) A translation of 8 blocks to the right followed by 2) a translation of 2 blocks down and 3) a rotation of 90 degrees anticlockwise
Step-by-step explanation:
Given that the dimensions and shape of Polygon A and Polygon B are equal, the sequence of transformations that will show their congruency should include a number of rigid transformations, mainly translations and rotations.
