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Triss [41]
3 years ago
15

Solve for x. (x - 3)^2 -10 = 15

Mathematics
1 answer:
Brut [27]3 years ago
3 0

Answer:

Step-by-step explanation:

Let's go:

(x - 3)^2 - 10 = 15 \\\ (x - 3)^2 = 15 + 10 \\\ (x - 3)^2 = 25 \\\ x - 3 = \sqrt{25} \\\ x - 3 = \pm 5

Solution #1:

x - 3 = 5

x = 5 + 3

x = 8

Solution #2:

x - 3 = - 5

x = - 5 + 3

x = - 2

I hope I helped you.

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Help please, asap. thank you
Sergio039 [100]

Answer:

KL = 28

YZ = 76

LZ = 38

Step-by-step explanation:

Because J K and L are midpoints, the segment lengths are half of the segments from the XYZ triangle.

Think of it like this: ZLK is just ZXY scaled to half.

From that we get:

KL = YX/2 = 56/2 = 28

YZ = 2*KJ = 2*38 = 76

LZ = YZ/2 = 76/2 = 38

6 0
2 years ago
Read 2 more answers
A nationwide club begins a chapter near you. You research the membership of the club over the past few decades.
Phantasy [73]

Answer:

Option (d)

Step-by-step explanation:

From the given table,

Number of members in 1980 (t = 0) were 5400.

With the period of time number of members increased.

Let the number of years after 1980 = x

Therefore, line of best fit will be in the form of y = mx + b

Where b = Initial number of members = 5400

m = Increase in members in every 5 years duration

So the equation will be,

y = mx + 5400

From the given options,

Equation which matches to our equation is,

y = 310.58x + 5400

For the number of members in year 2022,

x = 2022 - 1980 = 42 years

y = 310.58(42) + 5400

y = 18445

Option (d) will be the answer.

4 0
3 years ago
In 36 years, Ishaan will be 3 times as old as he is right now. How old is he right now?
Lady_Fox [76]

Answer: He is 18 years old right now.

Step-by-step explanation:

Let the present age of Ishaan be x

After 36 years,

his age will be x+36

According to question,

it is mentioned that Ishaan will be 3 times as old as he is right now ,

So, we will frame it in equation:

x+36=3x\\\\36=3x-x\\\\36=2x\\\\x=\frac{36}{2}\\\\x=18\ years

Hence, he is 18 years old right now.

3 0
3 years ago
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The breadth of a rectangular garden is 2/3 of its legth. If its perimeter is 40cm, find its dimensions.
Arisa [49]

Answer:

12; 8

Step-by-step explanation:

length-x

breadth-2/3x

2(x+2/3 x)=40

2×5/3x=40

10/3x=40

x=40÷10/3

x=40×3/10

x=12 (cm) length

2/3×12=8 (cm) breadth

6 0
3 years ago
Create a proportion using the form = to represent the following word problem.
Anna11 [10]
Answer :
x = 53.85

Step by step explanation:
If 78% of x (some numbers) is equal to 42, then we must set this as an equation to find it.

1) Rewriting 78% as a fraction and considering that when we say 78% of some number (x) we mean a product.
78% = 78/100 ➡️ 78/100x = 42

2) Then we can go on :
100 * 78/100x = 42 * 100
78x = 4200
78x/78 = 4200/78 ➡️ x = 53.85

3) Alternatively, simply dividing 42 by 0.78 (78%) would come to the same result :

42/0.78 = 53.85
4 0
2 years ago
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