Remark
All three sides are equal in an equilateral triangle.
y + 5 = x + y - 5 . . . . . . .(1)
y +5 = 2x - 7 . . . . . . . . .(2)
For 1
Subtract y from both sides.
5 = x - 5 . . . . . . . . . . . Add 5 to both sides.
x = 10
x + y - 10 = 2x - 7 . . . .Put x = 10 into this equation
10 + y - 10 = 2*10 - 7
y = 20 - 7
y = 13
In 2x - 7, let x = 10
2(10) - 7 = 20 - 7
Answer:
1.50x + 2.25y ≤ 30
Step-by-step explanation:
Hi, let’s say that 'y' represent the tablecloths.
So, we have to write an inequality:
The product of the number of balloons (x) and the cost of each one (1.50) plus the product of the number of tablecloths (y) and the cost of each tablecloth (2.25) must be less or equal to Rosie's budget (30)
Mathematically speaking:
1.50x + 2.25y ≤ 30
Feel free to ask for more if needed or if you did not understand something
Answer:
The required equation is:
Step-by-step explanation:
To find the equation of a line, the slope and y-intercept is required.
The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.
Given points are:
We will find the slope of given line segment first
Let m_1 be the slope of perpendicular bisector then,
Now the mid-point
We have to find equation of a line with slope -3/2 passing through (2,6)
The equation of line in slope-intercept form is given by:
Putting the value of slope
Putting the point (2,6) to find the y-intercept
The equation is:
You're correct in the x parts where each is +3
You're incorrect in the y part
5 - 6 = -1
5 - 4 = 1
So the first one should be -6
From there, its +6
-1 + -6 = -7
-7 + -6 = -13
