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Slav-nsk [51]
2 years ago
15

X – 6<-4 A. x<2 B.X-10 C. x>-10 D. x > 2

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
3 0

Answer:

[A] x < 2

Step-by-step explanation:

<u><em>Given:</em></u>

<em>x - 6 < - 4</em>

<em />

<u><em>Solve:</em></u>

<em>Add 6 to both sides</em>

<em>Which shown below:</em>

<em>x - 6 < - 4</em>

<em>     + 6  +6</em>

<em>-----------------</em>

<em>x < 2</em>

<em />

<em />

<em>Hence, the answer is [A] x < 2</em>

<em />

<u>Kavinsky</u>

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Quadratic Equation
Natasha_Volkova [10]

Step-by-step explanation:

The sum of ages of two friends is 13 years.

The product of their ages is 42.

<em>Let the age of 1st friend and 2nd friend is x, y respectively.</em>

<em>1 st condition= The sum of ages of two friends is 13 y</em><em>r</em><em>s. </em>

i.e x+y = 13........ (I)

<em>2nd condition= The product of their ages is 42.</em>

i.e X*y = 42........(ii)

From equation (I)

X+y = 13

or, X = 13-y........ (iii)

<em>Putting the equation (iii) in equation (ii).</em>

X*y= 42

(13-y) * y = 42

13y - y^2 = 42

{y}^{2}  - 13y + 42 = 0

{y}^{2}   - (7 + 6)y + 42= 0

{y}^{2}  - 7y - 6y + 42 = 0

y(y - 7) - 6(y - 7) = 0

(y - 6) (y - 7) = 0

Either; y-6 = 0

y = 6

Or;

y-7=0

y = 7

<em>Keeping the value of y as "7" in equation (ii)</em>

x*y = 42

7x = 42

X = 42/7

Therefore, the value of X is 6.

Therefore, either 1st friend is 6 years and 2nd is 7 years.

<em><u>H</u></em><em><u>o</u></em><em><u>p</u></em><em><u>e</u></em><em><u> </u></em><em><u>it </u></em><em><u>helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

7 0
3 years ago
Please show me step by step so I can learn to explain it to my son.
aleksklad [387]
These are the steps:
1. Find the area of the trapezium {Whole figure).
2. FInd the area of the rectangle (unshaded).
3. Area of the shaded = Area of trapezium - Area of the rectangle.

<u>Step 1:  Find the area of the trapezium</u>:

Formula : Area of trapezium = 1/2 (a + b)h 

Area = 1/2 ( 25 + 15) (12) = 240 yd²

<u>Step </u><u>2 :</u><u> Find the area of the rectangle</u>:

Formula : Area = Length x Width

Area = 12 x 3 = 36 yd²

<u>Step 3: Find the shaded region:</u>

240 - 36 = 204 yd²

Answer: 204 yd²

6 0
3 years ago
Explain why lxl=-5 doesn't have a solution
igomit [66]
It doesn’t have a value. The absolute value function is always positive or 0
3 0
4 years ago
Read 2 more answers
If the radius is 13 what is the circumference?
shepuryov [24]

Answer:81.64

Step-by-step explanation:13x2=26 26x3.14=81.64

8 0
3 years ago
What is 2/5% of 820?<br><br> 1.8<br><br> 2.05<br><br> 2.88<br><br> 3.28
Margarita [4]

Answer:

D) 3.28

Step-by-step explanation:

820/x=100/2.5

(820/x)*x=(100/2.5)*x       - we multiply both sides of the equation by x

820=40*x       - we divide both sides of the equation by (40) to get x

820/40=x

20.5=x

x=20.5

now we have:

2.5% of 820=20.5

6 0
3 years ago
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