Answer:
x=(-2/3)
Step-by-step explanation:
(9x+13)^2=49
√(9x+13)^2=√49
9x+13=7
9x+13-13=7-13
9x=-6
9x÷9=-6/9
x=-6/9
-6/9=-2/3
2^2x=5^x−1
Take the log pf both sides:
ln(2^2x) = ln(5^x-1)
Expand the logs by pulling the exponents out:
2xln(2) = (x-1)ln(5)
Simpligy the right side:
2xln(2) = ln(5)x - ln(5)
Now solve for x:
Subtract ln(5)x from both sides:
2xln(2) - ln(5)x = -ln(5)
Factor x out of 2xln(2)-ln(5)x
x(2ln(2) - ln(5)) = -ln(5)
Divide both sides by (2ln(2) - ln(5))
X = - ln(5) / (2ln(2) - ln(5))
Answer:
Radius = 5.1
Diameter = 10.2
Step-by-step explanation:
Radius is a straight line that connects the center of a circle to a point on the circumference (outside of the circle).
Diameter is a straight line that goes through the center of a circle and connects two points on the circumference (outside of the circle).
The line shown goes from the center to the outside of the circle, so it is the radius
Answer:
Step-by-step explanation:
Hi there!
Slope-intercept form: 
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
where two points that fall on the line are 
and 
On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:
Therefore, the slope of the line is 3. Plug this into :
<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>
Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into :
I hope this helps!
Answer:
20-5 11/12= 9 11/12
Step-by-step explanation:
we do (3 2/3 + 2 1/4+ 2 1/3 )which is
3 8/12. 2 3/12 2 4/12 (common denominator)
then add 3 8/12 and 2 3/12 and 2 1/3 to get 10 1/12 then we get 20- 10 1/12 to get a final answer of 9 11/12
