Answer:
x = -175
Step-by-step explanation:
Step 1: Define
h(x) = -25
h(x) = 1/5x + 10
Step 2: Substitute and Evaluate
-25 = 1/5x + 10
-35 = 1/5x
x = -175
Answer:
a = 1.95
Step-by-step explanation:
40a - 61 = 17
40a - 61 + 61 = 17 + 61
40a = 78
40a / 40 = 78 / 40
a = 1.95
The object should be placed 20/cm from the lens so as to form its real image on the screen
<h3>Mirror equation</h3>
The mirror equation is given according to the expression below;
1/f = 1/u + 1/v
where
f is the focal length
u is the object distance
v is the image distance
Given the following parameters
f = 5cm
v = 20cm
Required
object distance u
Substitute
1/5 = 1/u +1/20
1/u = 1/5-1/20
1/u = 3/20
u = 20/3 cm
Hence the object should be placed 20/cm from the lens so as to form its real image on the screen
Learn more on mirror equation here; brainly.com/question/27924393
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Answer:
A&B
Step-by-step explanation:
Answer:
Choice b.
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Step-by-step explanation:
The highest power of the variable in this polynomial is . In other words, this polynomial is quadratic.
It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to .)
After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.
Apply the quadratic formula to find the two roots that would set this quadratic polynomial to . The discriminant of this polynomial is .
.
Similarly:
.
By the Factor Theorem, if is a root of a polynomial, then would be a factor of that polynomial. Note the minus sign between and .
- The root corresponds to the factor , which simplifies to .
- The root corresponds to the factor , which simplifies to .
Verify that indeed expands to the original polynomial:
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