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Olenka [21]
3 years ago
7

Simplify -6+4{14+2[60-9(1+3)]}

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0

Answer:

242

Step-by-step explanation:

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In the xy -coordinate plane, the coordinates of point s are (-2,-6), and coordinates of point T are (18,9). Point Q lies on line
ira [324]

Answer:

(6,0)

Step-by-step explanation:

The coordinates of the points dividing the line segment in ratio m:n can be calculated as:

(\frac{mx_{2}+nx_{1}}{m+n} ,\frac{my_{2}+ny_{1}}{m+n} )

Here x1, y1 are the coordinates of first point S (-2, -6) and x2, y2 are the coordinates of second point T(18, 9).

In this case m will be 2 and n will be 3 as the ratio is 2:3

Using all these values we can find the coordinates of point Q

( \frac{2(18)+3(-2)}{2+3},\frac{2(9)+3(-6)}{2+3} )\\\\ = (\frac{30}{5} ,\frac{0}{5} )\\\\ =(6,0)

Thus, the coordinates of point Q which divides the line segment ST in ratio of 2:3 are (6,0)

5 0
3 years ago
Does the function f(x) = 2x^2− 6x + 9 have a minimum or a maximum? Identify its value.
exis [7]

Answer:

minimum value of function is   \frac{45}{8} .

Step-by-step explanation:

Given function represents a parabola.

Now, here coefficient of x^{2} is positive , so the parabola will be facing upwards and thus the function will be having a minimum.

Now, as we know that minimum value of a parabolic function occurs at

x = \frac{-b}{4a} .

Where , b represents the coefficient of x and a represents the coefficient of x^{2} .

here, a = 2 , b = -6

Thus \frac{-b}{4a} = \frac{6}{8}

                                            =  \frac{3}{4}

So, at x =  \frac{3}{4}  minimum value will occur and which equals

y = 2×\frac{9}{16} - \frac{18}{4} + 9 =  \frac{45}{8} .

Thus , minimum value of function is   \frac{45}{8} .

4 0
3 years ago
5a + 3b + c= 40<br> a-3b+2c= -10<br> 14a-2b+3c= 50
aalyn [17]

Answer:

a= 40-3b-c/5

a=-10+3b-2c

a=50+2b-3c/14

Step-by-step explanation:

5a+3b+c-(3b+c)=40-(3b+c)

5a=40-3b-c

5a/5=40/5-3b/5-c/5

a= 40-3b-c/5

a-3b+2c-(3b+2c)=-10-(-3b+2c)

a=-10+3b-2c

14a-2b+3c-(-2b+3c)=50-(-2b+3c)

14a=50+2b-3c

14a/14=50/14+2b/14-3c/14  

a=50+2b-3c/14

8 0
3 years ago
WILL MARK THE BRAINLIEST!! What are the amplitude, period, phase shift, and midline of f(x) = 2 sin(x + π) − 4?
xxMikexx [17]

Answer:

Step-by-step explanation:

Amplitude is twice the coefficent of the sine function. In this case, 2*2=4

Period is 2\pi divided by the coefficent of x, in this case, \frac {2\pi} 1 =2\pi

Phase shift, is how much you sum or subctract from x inside the sine, in this case \pi.

Midline you get by hiding the sine and reading what's left, in this case, -4.

3 0
3 years ago
HELP PICTURE SHOWN
natita [175]
I think its figure A but i am not sure.

8 0
3 years ago
Read 2 more answers
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