Answer: False
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Explanation:
I'll use x in place of p.
The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.
Compare this to ax^2+bx+c = 0
We have
Plug those three values into the discriminant formula below
d = b^2 - 4ac
d = (-5)^2 - 4(10)(8)
d = 25 - 40*8
d = 25 - 320
d = -295
The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".
Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.
Answer:
Step-by-step explanation: If the square is 30 ft on one side the other side must be too. So 30x30 = 900. Now, we know the rectangle must also be 900 in area. So, the width must be 10feet and the length must be 90ft because 10x90 is also 900. How I got the length? I did 10x2+70.
ANSWER:
12/25 = sinD*CosD
3/5 = SinD
16/15 = CosC*tanD
4/5 = tanC*tanD
STEP BY STEP EXPLANATION:
Finding the angles
Finding angle BCD
Sin(90)/5=Sin(BCD)/3
3sin(90)=5Sin(BCD)
3sin(90)/5=Sin(BCD)
sin^-1(3sin(90)/5) = /BCD
36.86989765 degrees = /C
Finding angle /CDB
Sin(90)/5=Sin(CDB)/4
Sin^-1(4sin(90)/5) = /CDB
53.13010235 degrees = /D
Evaluate the given question:
SinD=Sin(53.13010235)=0.8
SinC=Sin(38.86989765)=0.600000001
SinD*CosD = 0.48
TanC*TanD = 1
CosC*TanD = 1.066666666
FINAL EVALUATION
12/25 = 0.48
3/5 = 0.6
16/15 = 1.066666667
4/5 = 0.8
FINAL ANSWER
12/25 = SinD*CosD
3/5 = SinC
16/15 = CosC*TanD
4/5 = SinD
Hopefully it was useful :)
21, 18 1/2, 6.2, 1.75, -1/4, -1/2, -4,-5.9
The answer is C, inside the parenthesis.
GEMDAS rule:
G —> Grouping (parentheses)
E —> Exponents
M —> Multiplication
D —> Division
A —> Addition
S —> Subtraction