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3 years ago

Use the distributive property to express 30 + 75

1 answer:

7 0

Distributive property is when we take a common factor of the terms in the sum and writing the sum as a product-sum instead

30 + 75 ⇒ The greatest common factor of 30 and 75 is 5

we know that 30 = 5 × 6 and 75 = 5 × 25

So, by taking the common factor '5' out, we can write 30 + 75 as 5(6 + 25)

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What is the correct inverse function for f(x)=ln(3x)?

Maslowich

Let y = f(x)

y = ln(3x)

Exchange place with x and y.

x = ln(3y)

Solve for y.

y = (e^x)/3

Replace y with the inverse notation.

f^(-1) x = (e^x)/3

Done.

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2 years ago

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Given side lengths of 40 cm, 70 cm, and 80 cm, how many triangles can be constructed?

Salsk061 [2.6K]

One with 40cm being the side, 70 diagonal and 80 as the base so it is a right angle triangle

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2 years ago

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Solve for the equation for all x values by completing the square x^2 - 27= 67

navik [9.2K]

Answer:

The solutions for the equation $x^2\:-\:27=\:67$ are $x=\sqrt{94},\:x=-\sqrt{94}$ .

Step-by-step explanation:

To find the solutions for the equation $x^2\:-\:27=\:67$ you must:

$\mathrm{Add\:}27\mathrm{\:to\:both\:sides}\\\\x^2-27+27=67+27$

$\mathrm{Simplify}\\\\x^2=94$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{94},\:x=-\sqrt{94}$

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3 years ago

If AC = 3, BC = 5, and AB = 7, find AD:<br> 2 5/8<br> 4 1/5<br> 4 3/8<br> 11 2/3

Vesna [10]

Answer:

1. $2\frac{5}{8}$

Step-by-step explanation:

We can see that CD is angle bisector, So we will use angle bisector theorem which states that the angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

We can set up an equation as:

$\frac{AC}{AD}=\frac{BC}{BD}$

Upon substituting our given values we will get,

$\frac{3}{AD}=\frac{5}{(7-AD)}}$

Cross multiplying our equation we will get,

$5AD=3*(7-AD)$

$5AD=21-3AD$

$5AD+3AD=21$

$8AD=21$

$AD=\frac{21}{8}$

$AD=2\frac{5}{8}$

Therefore, the length of AD is $2\frac{5}{8}$ units and 1st option is the correct choice.

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3 years ago

What is the value of x and y?

gavmur [86]

Answer:

Step-by-step Image result for what is the value of x and y in algebra

If you have given an equation, you see the x and y in it. Just taking second equation and think any common factor between x's variable. With common factor, multiply both and you will find the value of y and put it in any equation, you will find the val

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2 years ago