Answer:
d = -10
Step-by-step explanation:
(d is the variable)
-6d - 10 = 10 - 4d
+4d +10
-2d = 20
-2d/-2 20/-2
d = -10
:)
Answer:
16 Units.
Step-by-step explanation:
Given:
THIS CASE ⇒ AC = BD
⇒ Substitute the values
2 (x - 3) = x + 5
⇒ Clear the value of x
2x - 6 = x + 5
2x - x = 5 + 6
x = 11
⇒ Substitute the value of x in any of the equations
11 + 5 = 16
⇒ Length of each diagonal is 16 units.
Answer:
1. is 25
2. I think this one is 25 too?
Step-by-step explanation:
im working on the second
A=Pe^rt
A: Total Amount
P:Principle ($500)
R: Rate 5% in decimal form
T: Time in years
A=500e^(.05*8)
A=745.912348821
Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get


The required equation of the quadratic function is
where, a is a constant.
Putting a=1, we get

![[\because (a-b)^2=a^2-2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5D)
Therefore, the required quadratic function is
.