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3 years ago

Which statement can be proved true using the given theorem?

Mathematics

1 answer:

Alexxx [7]3 years ago

4 0

Answer:

BF = 16

Step-by-step explanation:

18/12 = 1.5 * 6 = 9

Since DE and BF are parallel and DB and EF are parallel, they comprise a parallelogram. This means that DB = EF

DB = EF = 9

24/1.5 = 16

DE = 16

BF = 16

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What are 2 different equivalent fractions for LaTeX: \frac{2}{6}2 6 ? *In your answer, use a "/" as a fraction bar symbol. For e

Orlov [11]

Answer:

4/12 and 6/18

Step-by-step explanation:

Given the fraction 2/6

We are to write 2 different equivalent fractions that are the same as 2/6

To do this, we will multiply the numerator and denominator of the fraction by same constant. Multiply the numerator and denominator by 2 will give;

2/6 * 2/2

= (2*2)/(6*2)

= 4/12

Also multiplying by a value of 3

= 2/6 * 3/3

= (2*3)/(6*3)

= 6/18

Hence the 2 different equivalent fractions are 4/12 and 6/18

3 0

3 years ago

describe the transformations that produce the graph of g(x)=1/2(x-4)^3+5 from the graph of the parent function f(x)=x^3. Give th

SSSSS [86.1K]

We have been given a parent function $f(x)=x^{3}$ and we need to transform this function into $g(x)=\frac{1}{2}(x-4)^{3}+5$ .

We will be required to use three transformations to obtain the required function from $f(x)=x^{3}$ .

First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to $g(x)=(x-4)^{3}$ .

Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes $g(x)=\frac{1}{2}(x-4)^{3}$ .

Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as $g(x)=\frac{1}{2}(x-4)^{3}+5$ .

6 0

4 years ago

A lion can run 72 feet in one second. How far can the lion run in one minute?

denpristay [2]

Answer: 4,560 feet

Step-by-step explanation: because 60 seconds in a minute so 72× 60 = 4,560

5 0

3 years ago

Read 2 more answers

Please help me! Write the slope intercept form of an equation for the line that passes through (0,3) and is perpendicular to 9x-

lesya692 [45]

Answer:

y = -4/9x + 3

Step-by-step explanation:

Keep in mind:

- the equation for slope-intercept form is y = mx + b.

- "y" means output, "x" means input, "m" means slope, and "b" means y intercept

The first step in this equation is to turn 9x - 4y = -8 into slope intercept form.

Step 1: subtract 9x from both sides to begin to isolate y.

9x - 4y = -8

-4y = -9x - 8

Step 2: divide both sides by -4 to further isolate y.

y = 9/4x + 2

Now, we have the equation for the perpendicular line. Remember, the slope of a line is the opposite reciprocal of the slope of the line perpendicular to it.

This means that the slope of the line we are trying to find the equation for is -4/9.

Now that we have a slope and a point the line passes through, (0, 3), we can find the equation. Plug the coordinates of the point and the slope into the equation for slope-intercept form.

3 = -4/9(0) + b

To find the equation, solve for b.

Step 1: Simplify -4/9(0)

3 = 0 + b

Step 2: Simplify 0 + b

3 = b

Now that we know b and m, we have our equation.

The final answer is y = -4/9x + 3.

6 0

3 years ago

Write 56 as a product of primes. Use index notation when giving your answer.

mixas84 [53]

Answer:

56 as a product of primes using index notation is: $\mathbf{2^3 \times 7}$

Step-by-step explanation:

We need to write 56 as a product of primes.

Prime Numbers:

Numbers that are divisible by 1 or itself.

Now, writing 56 as product of primes

56 = 2 x 2 x 2 x 7

Now, Use index notation when giving your answer.

Index Notation:

Express elements in power form i.e. if we have 2 x 2 we can write it as 2^2

So, answer will be:

$56 = 2 \times 2 \times 2 \times 7$

$=2^3 \times 7$

So, 56 as a product of primes using index notation is: $\mathbf{2^3 \times 7}$

3 0

3 years ago