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anastassius [24]
3 years ago
14

30 inches to 24 inches Precent change

Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0
30-24=6 6/30=0.2

0.2x100=20

20%
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alpha and beta are the zeros of the polynomial x^2 -(k +6)x +2(2k -1). Find the value of k if alpha + beta = 1/2 alpha beta(ITS
serious [3.7K]

Answer:

k=\frac{-11}{2}.

Step-by-step explanation:

We are given \alpha and \beta are zeros of the polynomial x^2-(k+6)x+2(2k-1).

We want to find the value of k if \alpha+\beta=\frac{1}{2}.

Lets use veita's formula.

By that formula we have the following equations:

\alpha+\beta=\frac{-(-(k+6))}{1}  (-b/a where the quadratic is ax^2+bx+c)

\alpha \cdot \beta=\frac{2(2k-1)}{1} (c/a)

Let's simplify those equations:

\alpha+\beta=k+6

\alpha \cdot \beta=4k-2

If \alpha+\beta=k+6 and \alpha+\beta=\frac{1}{2}, then k+6=\frac{1}{2}.

Let's solve this for k:

Subtract 6 on both sides:

k=\frac{1}{2}-6

Find a common denominator:

k=\frac{1}{2}-\frac{12}{2}

Simplify:

k=\frac{-11}{2}.

7 0
3 years ago
What is the reading in kwhr of the electric meter shown in the exam figure below?
Gre4nikov [31]

The reading in kwhr of the electric meter shows how much energy consumed in an hour. This can be shown in your electric meter. The reading of kwhr will reflect on how much bill you are paying for the energy.

3 0
4 years ago
Marcus is making dinner for 7 people.marcous opens 6 cans of soup .each can is 14 ounces .if everyone gets the same amount of so
swat32
First you do 6 times 14 (6*14=84), next you do 7 divided by 84 (84/7=12). Therefore each person will get 12 ounces of soup.
~Hope this helps!
7 0
3 years ago
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What is the exact distance from (–1, 4) to (6, –2)? (4 points) units units units units
irina1246 [14]

Answer:

\sqrt{85}

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (6, - 2)

d = \sqrt{(6+1)^2+(-2-4)^2}

  = \sqrt{7^2+(-6)^2}

  = \sqrt{49+36}

  = \sqrt{85} ← exact distance

4 0
4 years ago
Find the missing side length BM. Round answer to the nearest tenth.
xenn [34]

Answer: BM = 21.4

Step-by-step explanation:

Considering the given triangle BMS, to determine angle BM, we would apply the sine rule. It is expressed as

m/SinM = s/SinS = b/SinB

Where m, s and b are the length of each side of the triangle and angle M, Angle S and angle B are the corresponding angles of the triangle.

From the information given,

Angle M = 102°

Angle B = 35°

Angle S = 180 - (102 + 35) = 43°

b = MS = 18

s = BM

Therefore

18/Sin 35 = BM/Sin 43

Cross multiplying, it becomes

BMSin35 = 18 × Sin 43

BM × 0.5736 = 18 × 0.6820

0.5736BM = 12.276

Dividing the left hand side and the right hand side of the equation by 0.5736, it becomes

0.5736BM/0.5736 = 12.276/0.5736

BM = 21.4

6 0
3 years ago
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