Answer:
the first one to solve for x is x=22-y
the first one to solve for y is y=22-x
the second one to solve for x is x=6+y
the second one to solve for y is y=-6+x
Step-by-step explanation:
in the first two you had to subtract y from both sides of the equation
the second one you had to add y to both sides of the equation to solve for x
but to solve for y you have to move all terms that dont contain y to the right side and solve
Answer:
Arts=295, Commerce=177
Step-by-step explanation:
That the three subjects have a common ratio implies that there is some common factor between them that relates to the actual number of students in each area, so 5:4:3 means 5x:4x:3x for some value of x
We know that there are 236 science students, so 4x = 236 or x = 59
so the number of arts students is 5(59) and the number of commerce students is 3(59)
Arts = 5*59 = 295
Commerce = 3*59=177
X^2 - 2x - 3 = 0
(x^2 - 2x + ) - 3 - = 0
(x^2 - 2x + 1) - 3 - 1 = 0
(x - 1)^2 - 4 = 0
(x - 1)^2 = 4
Answer:
21 ÷ 1.4
Step-by-step explanation:
Sanya noticed that the temperature was falling at a steady rate of 1.4 degrees every hour.
The temperature had fallen 21 degrees, so it passed
hours after she had first checked the thermometer.
She had first checked the temperature at 3 p.m.
Answer: -a dilation followed by a translation
-a dilation followed by a reflection
-a reflection followed by a dilation
-a rotation followed by a dilation
Step-by-step explanation:
A rigid transformation is a kind of transformation which does not affect the size of the shape.They produces congruent images.There are four kinds of rigid motions: 1) translation 2) reflection 3) rotation 4) glide reflection.
On the other hand a dilation is a transformation that creates an image that is the exactly same shape as the original, but have a different size.
Thus dilation does not create congruent images.
Therefore any sequence of transformations which has dilation will not result in an image that is similar and non-congruent to the pre-image.
