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3 years ago

Melissa wrote an expression equivalent to the one shown. 4x + 8x + 7 + 4.which could be the expression Larisa wrote?

Mathematics

1 answer:

Ivan3 years ago

4 0

Answer:

B 12x+11

Step-by-step explanation:

4x + 8x + 7 + 4

Combine like terms

12x +11

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Anybody help me to solve this question.

Mumz [18]

Answer:

$\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)} are\ in\ AP$

Step-by-step explanation:

Given that $(b-c)^2, (c-a)^2 , (a-b)^2$ are in AP

To prove: $\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)}$ are in AP

From given as we know if p , q, r are in AP then 2q= p+r.

$2(c-a)^2= (b-c)^2+(a-b)^2\\\\\Rightarrow 2(c^2+a^2-2ac)=b^2+c^2-2bc+a^2+b^2-2ab\\\\\Rightarrow 2c^2+2a^2-4ac= 2b^2+c^2+a^2 -2bc-2ab\\\\\Rightarrow a^2+c^2-2b^2-4ac= -2bc-2ab\\\\\Rightarrow a^2-2b^2+c^2= 4ac-2bc-2ab$

Now

$\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)}2\dfrac{1}{(c-a)} =\dfrac{1}{(b-c)}+\dfrac{1}{(a-b)}\\\\\Rightarrow \dfrac{2}{(c-a)}= \dfrac{a-b+b-c}{(b-c)(a-b)} \\\\\Rightarrow \dfrac{2}{(c-a)}= \dfrac{a-c}{(b-c)(a-b)} \\\\\Rightarrow2(b-c)(a-b) = (c-a)(a-c) \\\\\Rightarrow 2(ab-b^2-ac+bc)= -(a-c)^2\\\\\Rightarrow 2ab- 2b^2-2ac+2bc = -a^2-c^2+2ac\\\\\Rightarrow a^2-2b^2+c^2=4ac-2ab-2bc$

Which is the result of AP

Hence proved

6 0

3 years ago

A ladder leans against a window in a two-story building. the window is 16 feet off the ground. the base of the ladder is 12 feet

Kitty [74]

A^2 + b^2 = c^2
16^2 + 12^2 = c^2
256 + 144 = c^2
400 = c^2
sqrt 400 = c
20 = c <== the ladder is 20 ft long

6 0

3 years ago

Francesca had 32 cups of flour. She used 3/8 of the flour for a recipe how much flour did Francesca used

cestrela7 [59]

She used 12 cups of flour.

Make a proportion to where 8/8 equals 32.
3/8 equals ?/32
Then cross multiply and divide.
32 x 3 = 96
96/8 = 12

You can also think of it like this. What number times 8 will get you 32?
Well that’s 4.
So 3 x 4 = 12
Since they are proportions of each other what the bottom is multiplied the top must be as well

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3 years ago

Parallelogram ABCD has vertices: A(-3, 1), B(3, 3), C(4, 0), and D(-2, -2). In two or more complete sentences, explain how you c

mina [271]

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3 years ago

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gregori [183]

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