Answer:
1) Standardization
2). 1:1.25
3) 4cm
Step-by-step explanation:
The manipulation of scale variables to ensure comparability with other scales and enable comparisons to be made.
1:x = 9.6:12
x= 1: 1.25
9.6/12 = AC/5
AC= (5*9.6)/12
AC= 48/12
AC= 4cm
Answer: There is a horizontal shift of 3 units to the right and a vertical stretch by a factor of 2.
Step-by-step explanation: The (x-3) shifts the graph three units right, think of as for (x)=0 x has to be 0, and for (x-3)=0 x has to be 3, which is 0+3. The vertical stretch multiplies everything by 2, so it should make sense that it's a vertical stretch by a factor of 2.
Answer:
The point of intersection is (3,1)
Step-by-step explanation:
Manipulate these equations to achieve the form of y = mx + c
1) y + 5 = 2x
Y = 2x - 5
2) y = 7 - 2x
Y = -2x + 7
Point of intersection is (3,1) on the graph attached
To check algebraically:
2x - 5 = -2x + 7
4x = 12
X = 3
Substitute to get y
Y = 2x - 5
Y = 2 x 3 - 5
Y = 1
Therefore (3,1)
A. 12 mm
The Pythagorean Theorem states that a^2 + b^2 = c^2 with a and b being lengths of legs and c being the length of a hypotenuse. So we can use our givens to solve for the remaining leg.
9^2 + b^2 = 15^2
81 + b^2 = 225
b^2 = 144
b = 12
