Factor the expression. d2 + 12d+ 36

Help ASAP! will give brainliest!

Illusion [34]

Answer:

KON

Step-by-step explanation:

8 0

3 years ago

What is the relationship between lines d and b?

docker41 [41]

Answer:

the are perpendicular to each other (option B)

5 0

3 years ago

53, Margie usually drinks 12.25 liters of water in one week (7 days), 1 she continues to drink water at the same rate, what is t

Anna [14]

Using the information given in the question, the total number of liters Margie will drink in a 4 week period is 39

Consider the given information:

12.25 liters per week
Continues this for 4 weeks

Equation formed with said information:

Liters per week × The 4-week period

Solving the equation

12.25 × 4

= 49

Therefore, after the 4-week period Margie would of drank 49 liters

4 0

2 years ago

*25 points!*

mariarad [96]

Pick 2 pairs of equations then use addition and subtraction to eliminate the same variable from both pairs of equations then it is left with 2 variables
Pick two pairs
4x - 3y + z = - 102x + y + 3z = 0
eliminate the same variable from each system
4x - 3y + z = - 10
2x + y + 3z = 0

4x - 3y + z = - 10
-4x - 2y - 6z = 0

-5y - 5z = - 10

2x + y + 3z = 0
- x + 2y - 5z = 17

2x + y + 3z = 0
-2x + 4y - 10z = 34

5y - 7z = 34
Solve the system of the two new equations:
-5y - 5z = - 10
5y - 7z = 34

-12z = 24
which is , z = - 2

-5y - 5(- 2) = - 10
-5y = - 20
wich is , y = 4
substitute into one of the original equations
- x + 2y - 5z = 17
- x + 2(4) - 5(- 2) = 17
- x + 18 = 17
- x = - 1
x = 1
which is , (x, y, z) = (1, 4, - 2)
Does 2(1) + 4 + 3(- 2) = 0 ? Yes

7 0

3 years ago

A 140 kg camera is suspended by two wires over a 40 metre wide football field to get shots of the action from above. At one poin

Katen [24]

Answer:

Please red the answer below

Step-by-step explanation:

In order to determine the length of each cable you use the Newton second law for each component of the forces involved in the situation.

For the x component you have:

$T_1cos\theta_1-T_2cos\theta_2=0$ (1)

T1: tension of the first cable = 1500N

T2: tension of the second cable = 800N

θ1: angle between the horizontal and the first cable

θ2: angle between the horizontal and the first cable

For the y component you have:

$T_1sin\theta_1+T_2sin\theta_2-W=0$ (2)

W: weight of the camera = Mg = (140kg)(9.8m/s^2) = 1372N

You can squared both equations (1) and (2) and the sum the two equations:

$T_1^2cos^2\theta_1=T_2^2cos^2\theta_2\\\\T_1^2sin^2\theta_1=T_2^2sin^2\theta_2-2WT_2sin\theta_2+W^2$

Then, you sum the equations:

$T_1^2(cos^2\theta_1+sin^2\theta_1)=T_2^2(sin^2\theta_2+cos^2\theta_2)-2Wsin\theta_2+W^2$ (3)

Next, you use the following identity:

$sin^2\theta+cos^2\theta=1$

and you obtain in the equation (3):

$T_1^2=T_2^2-2WT_2sin\theta_2+W^2\\\\sin\theta_2=\frac{T_2^2-T_1^2+W^2}{2WT_2}=\frac{(800N)^2-(1500)^2+(1372N)^2}{2(800N)(1372N)}=0.066\\\\\theta_2=sin^{-1}0.066=27.23\°$

With this values you can calculate the value of the another angle, by using the equation (1):

$\theta_1=cos^{-1}(\frac{T_2cos(27.23\°)}{T_1})=cos^{-1}(\frac{(800N)(cos27.23\°)}{1500N})\\\\\theta_1=61.69\°$

Now, you can calculate the length of each cable by using the information about the width of the football field. You use the following trigonometric relation:

$l_1cos\theta_1=40-d\\\\l_2cos\theta_2=d\\\\$

d: distance to the right side of the field

By using the cosine law you can fins a system of equation and then you can calculate the values of l1 and l2.

3 0

3 years ago