Answer:
y= 2x +3
Step-by-step explanation:
<u>S</u><u>lope-intercept</u><u> </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is 2, m= 2.
Substitute m= 2 into the equation:
y= 2x +c
Given that the y-intercept is (0, 3), c= 3.
Substitute c= 3 into the equation:
y= 2x +3
Thus, the equation of the line is y= 2x +3.
Answer:
see below
Step-by-step explanation:
4 ^(3x-1)=3
Take the natural log of each side
ln(4 ^(3x-1))= ln (3)
We know that ln ( a^b) = b ln a
(3x-1) ln 4 = ln 3
Divide each side by ln 4
3x-1 = ln(3)/ (ln4)
Add 1 to each side
3x = ln(3)/ ln (4) +1
Divide by 3
x =1/3 [( ln 3)/ ln (4)] + 1/3
x = .792461
Answer:
8¹
Step-by-step explanation:
The given expression is :
8 to the power 1.
We need to write it in exponential form.
If we write 10³, here 10 is base and 3 is exponent.
8 to the power 1 = 8¹
The base is 8 and exponent is 1.
Hence, the exponential form is 8¹.
Answer:
20
Step-by-step explanation:
the perimeter of the square and the triangle are the same
4×(x + 10) = 3×4x
4x + 40 = 12x
40 = 8x
x = 5
=>
a triangle side is 4x = 4×5 = 20