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2 years ago

In the figure, mDE=118 and mBC=48. The diagram is not drawn to scale. What is m

Mathematics

2 answers:

Brut [27]2 years ago

8 0

Check the picture below

olga nikolaevna [1]2 years ago

3 0

35 degrees.

you take DE-BC, or 118-48, which is 70, and divide it by 2 to get 35.

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Solve: a.x3+x2-8x - 12x+2 b. x3-4x2-3x + 18x-3 c. x2 + 4x + 4 d. x2 - 6x + 9

NeTakaya

<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}$

Next, remember that dividing by a number is the same as multiplying by its reciprocal. To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}$

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

$(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}$

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}$

Now you can rewrite it as:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}$

Next, multiply:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}$

Next, divide:

$(\frac{f}{g})(x)=(x+2)^2$

And lastly, simplify:

A good tip: $(x+y)^2=x^2+2xy+y^2$

$(\frac{f}{g})(x)=x^2+4x+4$

<h2>Answer:</h2>

The correct option is C. x² + 4x + 4.

7 0

3 years ago

Mellisa is 13 years old, Becky is 12 years old. Daniel is 10 years old. Mellisa, Becky and Daniel share 28£ in the ratio of thei

Murrr4er [49]

Answer:

Melissa =13 years

Becky = 12 years

Daniel =10 years

All share $28 in the ratio of their ages.

Becky gives a third of her share to her mother.

B : D : M : : 12 : 10 : 13

Becky's $28 = $9.60

Becky has left with =$6.40.

Read more on Brainly.in - https://brainly.in/question/295197#readmore

Step-by-step explanation:

7 0

3 years ago

An egg is dropped from a height of 90 ft. If acceleration due to gravity is –16 ft/s2 and initial velocity is 0 ft/s, approximat

stira [4]

2.4 s B ( i hope this help)

6 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP 35 POINTS

podryga [215]

Your answer is A

It cannot be C because the line y > -2 uses the (>) greater than symbol.

When equations have a greater than symbol, they are graphed using a dotted line.

It cannot be D because the line is y ≤ - l x-1 l

with the less than or equal to sign (≤) , you use a solid line to graph

With the greater than symbol for y > -2 , the shaded region must be above this line.

With the less than or equal to sign in y ≤ - l x-1 l , the shaded region must be below the line.

Hope I helped - message me if you have any questions :)

5 0

2 years ago

Please help!!! Which expression is equivalent to (3m^-1n^2)^4/(2m^-2n)^3

Elza [17]

$\text{Use:}\\\\(a\cdot b)^n=a^nb^n\\\\(a^n)^m=a^{n\cdot m}\\\\\dfrac{a^n}{a^m}=a^{n-m}$

$\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}=\dfrac{3^4(m^{-1})^4(n^2)^4}{2^3(m^{-2})^3n^3}=\dfrac{81m^{-4}n^8}{8m^{-6}n^3}\\\\=10.125m^{-4-(-6)}n^{8-3}=10.125m^2n^5$

7 0

2 years ago

Read 2 more answers