Olga tried to solve an equation step by step.
\begin{aligned} \dfrac14\left(\dfrac13k+9\right)&am p;=6 \dfrac13k+9&=24&\green{\tex t{Step } 1} \dfrac13k&=15&\blue{\text{S tep } 2} k&=5&\purple{\text{Step } 3} \end{aligned}
4
1

(
3
1

k+9)
3
1

k+9
3
1

k
k


=6
=24
=15
=5


Step 1
Step 2
Step 3


Find Olga's mistake.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

answer: idk wbu

step-by-step explanation: umm..

and?

step-by-step explanation:

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu