Answer:
a.) 5(3t+2)+ 7(2t+5)
b.) 15t+10+14th+35
c.) $132
Step-by-step explanation:
a.) 5(3t+2)+ 7(2t+5)
b.) 15t+10+14th+35
Simplify to :
29t+45
c.) Substitute
29(3) +45
87+45=132
$132
For logarithmic equations,
log
b
(
x
)
=
y
logb(x)=y
is equivalent to b
y
=
x
by=x
such that x
>
0
x>0
, b
>
0
b>0
, and b
≠
1
b≠1
.In this case, b
=
5
b=5
, x
=
25
x=25
, and y
2
y=2
.
b
=
5
b=5
x
=
25
x=25
y
=
2
y=2
Substitute the values of b
b
, x
x
, and y
y
into the equation
b
y
=
x
by=x
.
5 squared
=
25
5squared=25
It truly depends on the ticket you got.
Step-by-step explanation:
<u>Given coordinates of the rectangle ABCD:</u>
- A(0, 0), B(a, 0), C(x, y), D(0, b)
Lets first find coordinates of C
We can see that A and B are on same line horizontally, so C and D will be on the parallel line
The distance AB and CD are equal also distance AD and BC are equal, therefore
- AB = a - 0 = a, CD = a
- AD = b - 0 = b, BC = b
<u>So the coordinates of C are:</u>
<u>Now the diagonals:</u>
- AC = √(a-0)² + (b-0)² = √a²+b²
- BD =√(0-a)² + (b -0)² = √a² + b²
Since AC = BD, we can state they are congruent
