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3 years ago

Y=x+5 4x+y=20 Solve by substitution

Mathematics

2 answers:

belka [17]3 years ago

6 0

The answer would be x=3

kramer3 years ago

3 0

Answer:

The solution of the given system is (3,8)

Step-by-step explanation:

step 1:-

Given equations are y= x+5......(1)

4 x+y=20.......(2)

Step 2:-

Adding both equation (1) and (2) equations and cancelled 'y' terms , we get

$5 x-15=0$

$x=3$

Step 3:-

Substitute x= 3 value in equation (1)

$y=3+5$

$y=8$

Final answer:-

The solution of the given system is (3,8)

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HELP!!

Crazy boy [7]

Answer:

Step-by-step explanation:

45 divided by 9 is 5. So you multiply 4 times 5. Which equals 20. So 20 plus 45 is 65. Hope you understand it.

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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

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mr Goodwill [35]

Answer:

x=7

Step-by-step explanation:

6x-7 and 4x+7 are vertical angles and are thus equal. Then 6x-7 = 4x+7, or 2x = 14.

x = 7.

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3 years ago

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Rom4ik [11]

Answer:

Use photomath

Step-by-step explanation:

sorry it doesnt answer your question but just use it it's free and great

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An expression that could be used to multiply 6x198 mentally

elena-14-01-66 [18.8K]

I am pretty sure that addiction because if you add 198 6 times it woyuld be the same as multiplyaction

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3 years ago

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