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3 years ago

Add and SImplify (x+2)/(x) + (x-3)/(x+2)

1 answer:

7 0

(x+2)/(x) + (x-3)/(x+2)

Common denominator x(x+2)

Reduce both to common denominator:
x+2)/[x(x+2)] + (x-3)/[x(x+2)] ===> [(x+2)² + (x-3)] / [x(x+2)]
= [x²+4x+4+x-3] / [x(x+2)]
=[x²+54x+1] / [x(x+2)]

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ABCD is a rhombus, where m∠AED = 5x – 10. Use the properties of a rhombus to determine the value of x.

EastWind [94]

Answer:

Option b

Step-by-step explanation:

According to the property of rhombus at Centre it have 90°

So,

$(5x - 10) {}^{o} = 90 {}^{o}$

$5x = 90 + 10$

$5x = 100$

$x = \frac{100}{5}$

$x = 20$

Hope this helps u ^_^

4 0

3 years ago

Match the solution set given in inequality notation with the solution set given in interval notation.

sasho [114]

Answer:

x≤7.8 ⇒(-∞;7.8]

x<7.8 ⇒ (-∞;7.8)

x>7.8 ⇒ (7.8; ∞)

x≥7.8 ⇒ [7.8; ∞)

Step-by-step explanation:

Hi, to answer this question we have to analyze each expression:

• x≤7.8

The solution is all the numbers less or equal to 7.8, since it can be equal to 7.8, it includes 7.8 , we have to use closed brackets

(-∞;7.8]

• x<7.8

All the numbers less than 7.8 , it excludes the endpoint , it's an open interval (parenthesis)

(-∞;7.8)

• x>7.8

All the numbers higher than 7.8, open interval (parenthesis)

(7.8; ∞)

• x≥7.8

All the numbers higher or equal to 7.8, closed interval (closed brackets for the endpoint)

[7.8; ∞)

4 0

3 years ago

What is the equation, in slope-intercept form, of the line that passes through the points (−24, 5) and (16, −20)?

ser-zykov [4K]

Answer:

C (Y = -5/8x - 10)

Step-by-step explanation:

first find the slope (y₂ - y₁) ÷ (x₂ - x₁)

(5 - (-20)) ÷ (-24 - 16)

-5/8 = slope (m)

now that we know the slope is -5/8 we can rule out A and B

now to find the y intercept just substitute a point in for x and y

5 = (-5/8)(-24) + b

multiply

5 = 15 + b

subtract 15 from both sides tp isolate b

-10 = b

4 0

3 years ago

Solution set of 5/11x+1/3=3/7-6/11x+3/7

kirill115 [55]

$\frac{5}{11x} + \frac{1}{3} = \frac{3}{7} - \frac{6}{11x} + \frac{3}{7} \\ \frac{11}{11x} = \frac{6}{7} - \frac{1}{3} \\ \frac{1}{x} = \frac{11}{21} \\ x = \frac{21}{11} = 1 \frac{10}{11}$

6 0

3 years ago

Pete adds 78 to the fata set below. 20,32,32,45,50. Which statement below will be true?

ozzi

Answer:

the inter-quartile range will increase

Step-by-step explanation:

The initial data-set was;

20,32,32,45,50

Adding a new value 78 will have several effects;

The mean of the new set of values will increase since 78 is mostly likely to be an outlier.

The median of the new data set will increase. The median of the old data set is 32 while that of the new data set will be 38.5

The mode is the most frequent observation. Both the new and the old sets of values will have a mode of 32. The mode will therefore remain the same.

The inter-quartile range just like the range will increase

4 0

3 years ago