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3 years ago

Use substitution method 8x=-2y-10 2x=4y

1 answer:

8 0

2x = 4y
x = (4y)/2
x = 2y

8x = - 2y - 10
8(2y) = -2y - 10
16y + 2y = -10
18 y = -10
y = -10/18
y = -5/9

So, how x = 2y
x = 2 (-5/9)
x = -10/9

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Find the sum of the sequence 36 37 38 39 ... 109=

uysha [10]

It's an arithmetic sequence:

$a_1=36;\ a_2=37;\ a_3=38;\ ...\ ;\ a_{74}=109\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\a_1=36;\ n=74;\ a_{74}=109\\\\S_{74}=\dfrac{36+109}{2}\cdot74=\dfrac{145}{2}\cdot74=72.5\cdot74=5365$

8 0

3 years ago

Write an equation for the line that connects A (-4,8) and B (6,3)

Mazyrski [523]

Answer:

7y+5x=76

Step-by-step explan

A (-4,8) and B (6,3)

First find the slope;

m= (y2-y1)/(x2-x1)

m=(3-8)/(3+4)

m=-5/7

now using equation of line

y-y1= m(x-x1)

y-8=-5/7 (x+4)

y-8=(-5x+20)/7

7(y-8)= -5x+20

7y-56=-5x+20

7y+5x=20+56

7y+5x=76

4 0

3 years ago

F(x)= StartRoot negative x EndRoot?

Leya [2.2K]

Answer:

f(x) = √-x

Step-by-step explanation:

f(x) = √-x

Step 1: Obtain the value of x (start)

Step 2: The square root of -x

Step 3: Write down the value of f(x) (End)

7 0

3 years ago

Anybody know the right answer?

Dmitry_Shevchenko [17]

If we just have

$y = \cos x$

that's an amplitude of 1 and a period of $2\pi$

Let's modify this step by step.

Amplitude of 4. Four times the amplitude means a factor of 4 on the outside.

$y = 4 \cos x$

Period of π. Double the period means a factor of 2 on the inside.

$y = 4 \cos(2x)$

Horizontal shift of π/2 to the left. To the left means adding a positive number to x. The question appear ambiguous. It's not clear to me if we add to x or 2x; let's make it

$y = 4 \cos(2(x + \frac \pi 2))$