f(-3) would be 36.
When looking at synthetic division, the numbers across the top represent the coefficients of x^2, x and the constant in that order. Therefore, the equation is as follows.
2x^2 - 5x + 3
Now we can put -3 into the equation and solve.
2(-3)^2 - 5(-3) + 3
2(9) + 15 + 3
18 + 15 + 3
36
Answer:
i. RP = 17
ii. RT = 15
iii. RS = 30
Step-by-step explanation:
Given that; QT = 9 and TP = 8.
From the diagram, join R to P. Thus RP = QP (radius of the circle)
RP = QT + TP
= 9 + 8
RP = 17
Applying Pythagoras theorem to triangle TRP;
RT = 
= 
= 
= 15
∴ RT = 15
But, RT = TS = 15.
So that;
RS = 15 + 15
= 30
RS = 30
Therefore; RP = 17, RT = 15 and RS = 30.
Answer:
1,352.32
Step-by-step explanation:
If you take 7.6 and multiply it to 16,412.05 (.076)(16,412.05), you get 1,247.32. You then add the overhead cost of 105 to get 1352.32. (Apex verified too)
Answer:
Volume of block Jennifer bought:
V = side^3 = 12 x 12 x 12 = 1728 (in3)
Volume of sphere Jennifer wanted to make:
V = (4/3) x pi x radius^3 = (4/3) x pi x (4/2)^3 = 33.5 (in3)
a, The number of spheres she can make:
N = 1728/33.5 = 51.58 = ~51
b, The area of remaining clay after she made a sphere:
A = 1728 - 33.5 = 1694.5 (in3)
Hope this helps!
:)
First, find the slope of the initial line;
m=(y₁-y₂)/(x₁-x₂)
m=(4-0)/(11-8)
m=4/3
If two lines are parallel, the slope is the same although the intercept can differ.
If this parallel lines passes through the point (4, 5);
y=(4/3)x+c <-- plug in coordinates to solve for c
5=(4/3)(4)+c
(15/3)=16/3+c
(15/3)-(16/3)=c
-1/3=c
Therefore, the final equation should be y=4/3x-1/3
Hope I Helped :)
