Find the distance between the points (5/2,3) and (3/2,8)
Answers
Answer:
d = ≈ 5.1 ( to 1 dec. place )
Step-by-step explanation:
to calculate the distance d use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (, 3) and (x₂, y₂ ) = (
, 8)
d =√ ( -
)² - (8 - 3)²
= =
≈ 5.1
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Answers
F(x)=2x^4 +5x^3 - x^2 +6x-1
Answers
Answer:
Two complex roots.
Step-by-step explanation:
F(x)=2x^4 +5x^3 - x^2 +6x-1
is a polynomial in x of degree 4.
Hence F(x) has 4 roots. There can be 0 or 2 or 4 complex roots to this polynomial since complex roots occur in conjugate pairs.
Use remainder theorem to find the roots of the polynomial.
F(0) = -1 and F(1) = 2+5-1+6-1 = 11>0
There is a change of sign in F from 0 to 1
Thus there is a real root between 0 and 1.
Similarly by trial and error let us find other real root.
F(-3) = -1 and F(-4) = 94
SInce there is a change of sign, from -4 to -3 there exists a real root between -3 and -4.
Other two roots are complex roots since no other place F changes its sign
Answers
✡ Answer: 200✡
- - Solve:
✡ First we need to find the formula to solve:
✡ Now:
x is equal to:
✡Now we are going to multiply
- - 100*2=200
✡Hope this helps!✡
6 is 3 percent of the number 200.
To find the number that 6 is 3% of, we can use the concept of percent as a ratio.
Let's represent the unknown number as "x".
We can set up the equation:
3% of x = 6
To solve for x, we need to divide both sides of the equation by 3% (which is equivalent to dividing by 0.03):
(3% of x) / 0.03 = 6 / 0.03
Simplifying further:
x / 0.03 = 200
To isolate x, we can multiply both sides of the equation by 0.03:
x = 0.03 * 200
x = 6
Therefore, 6 is 3% of the number 200.
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Answers
Answer:
The top graph
Solutions:
-2
0
Step-by-step explanation:
The given quadratic function in factored form is
This is a parabola that has x-intercepts at (-2,0) and (2,0)
This parabola opens downward because the leading coefficient is less than 1.
The second function is
This is an absolute value function with vertex at (-2,0).
Therefore the graph that shows the solution to f(x)=g(x) is the top graph.
Hence the solution is x=-2,x=0
Answers
Answers
8 goes into 50 six times, with a remainder of 2, On dividing 50 by 8 quotient is 6 and remainder is 2
To find out how many times 8 goes into 50, we perform integer division.
When we divide 50 by 8, we obtain a quotient and a remainder. The quotient represents the whole number of times 8 can be divided into 50 without any remainder.
The remainder represents any leftover amount after dividing as much as possible.
Performing the division:
50 ÷ 8 = 6 remainder 2
Therefore, 8 goes into 50 six times, with a remainder of 2, On dividing 50 by 8 quotient is 6 and remainder is 2
Learn more about division here:
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