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Inessa [10]
2 years ago
5

35 is 15 less than k

Mathematics
1 answer:
Makovka662 [10]2 years ago
8 0

Answer:

35 = k-15

I can't really explain this, sorry.

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Which expression is the factored form of 2/3x+4 ?
frosja888 [35]

Answer:

Option C.

Step-by-step explanation:

The given expression is

\dfrac{2}{3}x+4

We need to find the factored form of the given expression.

The given expression can be rewritten as

\dfrac{2}{3}x+(\dfrac{2}{3}\times \dfrac{3}{2})\times 4

\dfrac{2}{3}x+\dfrac{2}{3}(6)

It is clear that \frac{2}{3} is common.

Taking out common factors, we get

\dfrac{2}{3}(x+6)

It is the factored form of the given expression.

Hence, the correct option is C.

7 0
3 years ago
Read 2 more answers
Y=-1/3x^2-4x-5 in vertex form
grigory [225]

Answer:

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

Step-by-step explanation:

Given function:

Y=-\frac{1}{3}x^2-4x-5

We need to find the vertex form which is.,

y=a(x-h)^2+k

where (h,k) represents the co-ordinates of vertex.

We apply completing square method to do so.

We have  

Y=-\frac{1}{3}x^2-4x-5

First of all we make sure that the leading co-efficient is =1.

In order to make the leading co-efficient is =1, we multiply each term with -3.

-3\times Y=-3\times\frac{1}{3}x^2-(-3)\times4x-(-3)\times 5

-3Y=x^2+12x+15

Isolating x^2 and x terms on one side.

Subtracting both sides by 15.

-3Y-15=x^2+12x-15-15

-3Y-15=x^2+12x

In order to make the right side a perfect square trinomial, we will take half of the co-efficient of x term, square it and add it both sides side.  

square of half of the co-efficient of x term = (\frac{1}{2}\times 12)^2=(6)^2=36

Adding 36 to both sides.

-3Y-15+36=x^2+12x+36

-3Y+21=x^2+12x+36

Since x^2+12x+36 is a perfect square of (x+6), so, we can write as:

-3Y+21=(x+6)^2

Subtracting 21 to both sides:

-3Y+21-21=(x+6)^2-21

-3Y=(x+6)^2-21

Dividing both sides by -3.

\frac{-3Y}{-3}=\frac{(x+6)^2}{-3}-\frac{21}{-3}

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

8 0
3 years ago
Given the perimeter of a rectangle is 96 meter and the length is twice the width, find the dimensions. Solve algebraically.
barxatty [35]
96 + 96
2(96x2) is the answer
7 0
3 years ago
Read 2 more answers
In this figure triangle BAE is congruent to triangle DEA. Which statement is true by CPCTC?
Vsevolod [243]
The correct answer is the last option
5 0
3 years ago
Read 2 more answers
What is the equation of the line that has a slope of 4 and passes through then point (3,-10)?
Fynjy0 [20]
<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Substitute the x and y values into the equation:

y = mx + c

'm' is the slope, which we know is 4

-10 = 4(3) + c

- 10 = 12 + c

c = -22

The equation is y = 4x -22

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

7 0
3 years ago
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