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chubhunter [2.5K]
3 years ago
5

Find y when x= -3 for y=2/3 x

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Answer:

y = - 2

Step-by-step explanation:

y =  \frac{2}{3} x \\  \\ plug \: x =  - 3 \\  \\ y =  \frac{2}{ \cancel3}  \times (    \cancel{ - 3})  \:  \:   \red{ \bold{- 1}}\\  \\ y = 2( - 1) \\  \\ y =  - 2

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Consider the circle with a radius of 30 cm. What is the approximate circumference of the circle? (use 3.14 as an approximation o
Goshia [24]

Answer: 188.4 cm

Step-by-step explanation:

Given

the radius of the circle is r=30\ cm

Also, circumference is given by P=2\pi r

Putting values

\Rightarrow P=2\times 3.14 \times 30=188.4\ cm

The circumference of the circle is 188.4\ cm

8 0
3 years ago
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
Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of S to the nearest whole degree? 19° 26° 30° 33°
sertanlavr [38]
We know that
applying the law of cosines
a² = b²+ c²<span> – 2*b*c*cos(A)
cos (A)=[b</span>²+c²-a²]/[2*b*c]
in this problem
a=10
b=17
c=18
so
cos (A)=[17²+18²-10²]/[2*17*18]-----> cos (A)=0.8382
A=arc cos (0.8382)-----> A=33.05°-----> A=33°

the answer is
33 degrees
7 0
3 years ago
Read 2 more answers
A multiple choice test consists of six questions, each of which has four choices. Each question has exactly one correct answer.
mario62 [17]
To get 4 or fewer correct, at least 2 answers have to be wrong. And the probability of that is:
3/4 x 3/4=9/16
1-9/16=probability that 4 or fewer are correct=7/16 ☺☺☺☺
6 0
3 years ago
Which of the following values would complete the ordered pair if the point is on the graph of f (x) = -3x + 2 ?
Scrat [10]

Answer: the y-coordinate that completes the point is 5.


Explanation:


An ordered pair (x, y) indicates the x-and-y coordinates of a general point, where x is the input value of a function and y is the output value.


The output value is y = f(x) and must be found applying the rule (function) to the given input value.


In this case the rulte is f(x) = - 3x + 2, and the input value, x,  is - 1 (the first value of the ordered pair).


This is the mathematical procedure:

  • x = - 1
  • f(x) = f (-1) = -3 (-1) + 2 = 3 + 2 = 5.
5 0
3 years ago
Read 2 more answers
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