There is 2 ways to solve this type of question.
Method 1
--------------------------------------------------
Formula
--------------------------------------------------
a² + b² = c²
--------------------------------------------------
Apply the formula
---------------------------------------------------
(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14
--------------------------------------------------
Ans: The diagonal length is 14cm
--------------------------------------------------
_____________________________________________________________
Method 2
--------------------------------------------------
Identify the triangle
--------------------------------------------------
This is a special triangle
45° - 45° - 90°
--------------------------------------------------
Property of the Angles
--------------------------------------------------
x - x - x√2
--------------------------------------------------
Find hypotenuse
--------------------------------------------------
Given that the non-hypotenuse is 7√2
Hypotenuse = (7√2)(√2)
Hypotenuse = 7 x 2
Hypotenuse = = 14cm
--------------------------------------------------
Ans: The diagonal length is 14cm
--------------------------------------------------
Answer:
It is not valid since there is more than one variable being changed at one.
Step-by-step explanation:
Jackson changed the brand of soil, but he also changes the amount of water, and the amount of sunlight the plants are receiving, so his conclusion that the soil was more effective is not valid.
Answer:
Step-by-step explanation:
From the figure attached,
Point B has been dilated to form point B'.
B(3, 1) → B'(6, 2)
→ B'[(2 × 3), (2 × 1)]
Since rule for the dilation of a point (x, y) by a factor of k is,
B(x, y) → B'(kx, ky)
By comparing the coordinates k = 2 is the scale factor by which the point B has been dilated about the origin.
Therefore, other vertices of the quadrilateral will be,
A(-2, 3) → A'(-4, 6)
C(1, -1) → C'(2, -2)
D(-3, -2) → D'(-6, -4)
Answer:
none of these have a solution of 2.
Step-by-step explanation:
4x+ 15 = 27
x=3
x + 6 =3
x = 3
2(x+5)=18
x = 4
x + 9 = 6
x = -3
if my understanding of what the equations are supposed to be please let me know what they are supposed to be, because with the way they are typed it is hard to tell :)
