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Nataliya [291]
2 years ago
8

What is the x-value in the solution to this system of linear equations? 2x − y = 11 x + 3y = −5

Mathematics
1 answer:
Setler [38]2 years ago
4 0

Answer:

x = 4

Step-by-step explanation:

Given the 2 equations

2x - y = 11 → (1)

x + 3y = - 5 → (2)

Multiply (1) by 3 and add to (2) to eliminate the y- term

6x - 3y = 33 → (3)

Add (2) and (3) term by term to eliminate y, that is

7x = 28 ( divide both sides by 7 )

x = 4

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How do you identify the angle of rotation including the direction
yarga [219]

In rotation, the angle through which the plane figure is rotated is called the point of a figure through a specified angle and direction about a fixed point. Identify the corresponding vertices of the rotation.

6 0
3 years ago
A large mixing tank initially contains 1000 gallons of water in which 40 pounds of salt have been dissolved. Another brine solut
sergey [27]

Answer:

If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt =  15 - 0.005A

Option C) dA/dt =  15 - 0.005A is the correction Answer

Step-by-step explanation:

Given the data in the question;

If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is?

dA/dt = rate in - rate out

first we determine the rate in and rate out;

rate in = 3pound/gallon × 5gallons/min = 15 pound/min

rate out = A pounds/1000gallons × 5gallons/min  = 5Ag/1000pounds/min

= 0.005A pounds/min

so we substitute

dA/dt = rate in - rate out

dA/dt =  15 - 0.005A

Therefore, If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt =  15 - 0.005A

Option C) dA/dt =  15 - 0.005A is the correction Answer

8 0
2 years ago
I need help with this pls!!
SSSSS [86.1K]
Answer : (12,4)
that is the max point
8 0
3 years ago
Can someone help me plz ​
stiks02 [169]

Answer:

this is just a guess but 81

Step-by-step explanation:

I hope it is right, but I just did quick math.

so it might also be 82 if you round up to the nearest number. (sorry if this is confusing)

7 0
2 years ago
the question is in the picture below, if you could show all your work so i can see how to do it, that would be appreciated.
ki77a [65]

m∠R = 27.03°

Solution:

Given In ΔQRP, p = 28 km, q = 17 km, r = 15 km

To find the measure of angle R:

Law of cosine formula for ΔQRP:

r^{2}=p^{2}+q^{2}-2 pq \cos R

Substitute the given values in the above formula.

(15)^{2}=(28)^{2}+(17)^{2}-2 (28)(17) \cos R

225=784+289-952 \cos R

225=1073-952 \cos R

Switch the given equation.

1073-952 \cos R=225

Subtract 1073 from both side of the equation.

-952 \cos R=-848

Divide by –952 on both sides.

$ \cos R=\frac{106}{119}

$  R=\cos^{-1} \left(\frac{106}{119}\right)

R=27.03^\circ

Hence m∠R = 27.03°.

7 0
3 years ago
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