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3 years ago

How to graph y+5=-2(x-1)

Mathematics

1 answer:

larisa [96]3 years ago

3 0

Answer:

Use a graphing calculator and enter y= -2(x-1)-5

Step-by-step explanation:

To get y all alone you would subtract 5 from each side

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Please help! I need to find the slope of this line.

larisa86 [58]

The slope is half, since when the equation is divided by two so that the y value is one, the x coefficient is half, so the slope is half.

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3 years ago

Someone please help me it's worth 35 points

Zigmanuir [339]

Question 1)
I assume it asks about the circumference (of only the circle arc)
C=r*2*pi
r=2
-> C=4pi

1 Quarter only of the circle: C/4=pi=3.1

if it's the perimeter of the shape then you need to add the two 2in sides

C=3.1+2*2=7.1

2)
C=r*2*pi, but not a full circle, only semi-> divide by 2-> C=r*pi
r=30
C=30pi=94.2

3)
the radius of the semicircle is 6/2=3mm
semicircle C=r*pi=3pi

add the rectangle perimeter
3pi+2*3+6=12+3pi=21.4

4)
C=2r*pi
insert 2r=d=12
C=12pi=37.7

5)
C=2r*pi
r=10
C=20*pi~62.8

3 rotations of the wheel->
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4 0

3 years ago

The temperature in a room is controlled by an electronic thermostat. The temperatures vary according to the sinusoidal function:

madreJ [45]

Answer:

a) y = 16°C

b) 25°C, 13°C

Step-by-step explanation:

5 0

3 years ago

The Megasoft company gives each of its employees the title of programmer (P) or project manager (M). In any given year 70% of pr

Ne4ueva [31]

Answer:

it will take a programmer about 16.67 times to work before they are fired

Step-by-step explanation:

From the information given;

The transistion matrix for this study can be computed as:

P M X

P 0.7 0.2 0.1

M 0 0.95 0.05

X 0 0 1

where;

The probability that the programmer remains a programmer = $(P *P)$

The probability that the programmer turns out to be a manager = $(P*M)$

The probability that the programmer is being fired = $(P*X)$

Thus, the required number of years prior to the moment being fired for an employee y(P), for programmer and y(M) for manager is represented by ;

$y(P)=1+0.7y(P)+0.2y(M)$

$y(M)=1+ 0.95y(M).$

$0.05y(M)=1$

y(M) = $\dfrac{1}{0.05}$

y(M) =20

y(P)=1+0.7y(P)+0.2y(M)

y(P) - 0.7y(P) = 1 + 0.2y(M)

0.3y(P) = 1 + 0.2(20)=1+4

0.3y(P) = 1 + 4

0.3y(P) = 5

$y(P)=\dfrac{5}{0.3}$

$y(P)=16.67$

Therefore, it will take a programmer about 16.67 times to work before they are fired

8 0

3 years ago

Find an equation of the circle that has center (-4,3) and passes through (6,-4).

kumpel [21]

Answer:

$(x+4)^2+(y-3)^2=149$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center of the circle and $r$ is the radius of the circle.

Given that $(h,k)\rightarrow(-4,3)$ and it passes $(6,-4)$ , their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-4-3)^2+(6-(-4))^2}\\\\d=\sqrt{(-7)^2+10^2}\\\\d=\sqrt{49+100}\\\\d=\sqrt{149}$

Therefore, if the length of the radius is $r=\sqrt{149}$ units, then $r^2=149$ , making the final equation of the circle $(x+4)^2+(y-3)^2=149$

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3 years ago