Algebra
Solve the system of equations.
y=-3x+4
x+4y=-6
Answer: x=2,y=-2
Find the are of a right triangle with a base of 17 and a height of 57.
484.5
sin(45°) in radians
𝝿/4
3+2+5x18
95
If you flip a fair coin once, what is the probability of getting a tail?
1/2
Solve for x.
x2-9x+14
x=2, x=7
A triangle has a perimeter of 50. If 2 of its sides are equal and the third side is 5 more than the equal sides, what is the length of the third side?
20
The equation, in slope-intercept form, of the line through points P1(1,3) and P2(−2,1) is
y =2x/3 + 7/3
10+5+17x12
219
For her calculus class, Marie has scored 88, 78, and 95 on three of her tests so far. What is the minimum score Marie needs to receive on her 4th test in order to have an average of 90?
99
Complete the square. Fill the number that makes the polynomial a perfect-square quadratic
k2-26k+ _
Answer: 169
The surface area of a sphere is 3020. What is its volume?
15600
Reciprocal identity
sinθ =
cscθ
19+7[(26−48÷2)^3]+3×6
93
If you flip a fair coin 10 times, what is the probability of getting all tails?
1/1024
What is the slope of a line passing through the points (-6 ,-6) and (-3, 1)?
7/3
A face of a cube has a diagonal with a length of 92√2. What is the length of one of the edges of the cube?
9 units
Find u+v and u-v
u= 3i - j, v= i + 2j
4i + j
2i - 3j
[–12÷(–4)]×[144÷(15–3)]
36
The class average in a class of 15 is 86%. If one additional student earns a 100% in the class, what is the new class average.
86.875%
Solve for x
(2x+3)/4 = (x+7)/3
x=19/2 = 9.5
The four types of triangle congruence
SSS
SAS
ASA
HL
The complement identity for cos (A) =
Sin (90-A)
(3^3)+4(8-5)/6
11
Suppose a surgical team routinely performs two different types of surgeries. The probability of success for surgery A is 85% and the probability of success for surgery B is 90%. If a patient who had surgery A is randomly selected and a patient who had surgery B is randomly selected what is the probability that both will respond that their surgeries failed?
0.015