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JulijaS [17]
3 years ago
10

Try factoring this before moving on: 25+10x+x^2

Mathematics
1 answer:
Naddika [18.5K]3 years ago
4 0

Answer:

Step-by-step explanation:

x2 + 10x + 25

x2 + 5x + 5x + 25

x (x + 5) + 5(x + 5)

(x + 5) (x + 5)

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What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)
timama [110]

Given:

The point P\left(\dfrac{3}{4},\dfrac{5}{12}\right) divides the line segment joining points A\left(\dfrac{1}{2},\dfrac{3}{2}\right) and B(2,-5).

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Let point P divides the segment AB in m:n. Then by using the section formula, we get

\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)

\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)

On comparing both sides, we get

\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}

\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}

Multiply both sides by 4.

3(m+n)=2(4m+n)

3m+3n=8m+2n

3n-2n=8m-3m

n=5m

It can be written as

\dfrac{1}{5}=\dfrac{m}{n}

1:5=m:n

Therefore, the point P divides the line segment AB in 1:5.

6 0
3 years ago
Aaron is making a jewelry box of wood in the shape of a rectangular prism the jewelry box will have the dimensions shown in the
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Answer:

b. $342

Step-by-step explanation:

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P = 2 * 12 + 30

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Height of the jewelry container will be :

X = Ph + 2B

X = 54 * 6 + 2 * 180

X = 684 square inches.

Total cost for paint of jewelry box is :

X * cost per inch

Total cost = 682 * $0.50

Total Cost = $342.

8 0
2 years ago
The weight of tigers follow a normal distribution with a mean of 220 kg and a SD of 30 kg. 1) If we randomly select a tiger, wha
mylen [45]

Answer:

0.89736

Step-by-step explanation:

We solve this question using z score formula

Z score = x - μ/σ

x = raw score

μ = population mean

σ = population standard deviation

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Z = 258 - 220/30

=1.26667

Probability value from Z-Table:

P(x<258) = 0.89736

Therefore, the probability that his weights is less than 258 kg is 0.89736

6 0
3 years ago
1- AT OAKNOLL SCHOOL, 90 OUT OF 270 STUDENTS OWN COMPUTERS. WHAT PERCENT OF STUDENTS OF OAKNOLL SCHOOL DO NOT OWN COMPUTERS? ROU
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3 years ago
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Answer:

25 hours

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

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2 years ago
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