Answer:
4095
Step-by-step explanation:
3(4⁰) + 3(4¹) + 3(4²) + 3(4³) + 3(4⁴) + 3(4⁵)
3(4⁰ + 4¹ + 4² + 4³ + 4⁴ + 4⁵)
3(1 + 4 + 16 + 64 + 256 + 1024)
3 * 1365 = 4095
Hey there!
We're going to write the equation for this line in slope-intercept form, y = mx+b, where m is the slope and b is the y-intercept. In order to write it in this form, as stated in the name, we need the slope and y-intercept. Since we have the slope given, we can use the points we have and set up that equation with the given slope to solve for b. We'll use the x and y values and throw them into the equation. We have:
-1 = 3/2(4) + b
-1 = 12/2 + b
-1 = 6 + 6
-6 = b
Now, since we have our slope and y-intercept, we can write our equation with these two values:
y = 3/2x - 6
Hope this helps!
Answer:
W.
Step-by-step explanation:
SSS, or Side-Side-Side is used to prove two triangles similar
Figure W. is the only one that uses three side marks, all of the others use at least one angle to prove them similar.
Answer:
2/3
Step-by-step explanation:
parallel lines have the same slope
given that a line has a slope of 2/3
a line that is parallel to this line would also have a slope of 2/3
Answer:
x < 19
Step-by-step explanation:
Given that,
An inequality 2x - 5 < 33.
LHS of the inequality is 2x - 5
RHS of the inequality is 33
LHS < RHS
i.e.
2x - 5 < 33
Add 5 to both sides of the inequality
2x - 5 +5 < 33+5
2x < 38
Divide both sides by 2.
x < 19
So, the value of x is less than 19.
