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Debora [2.8K]
3 years ago
11

1)A system of equations is shown below:

Mathematics
2 answers:
Bad White [126]3 years ago
7 0

Answer:

B : show that the solution to the system of equations 8x - 5y = 11 and 7x - 8y = 6 is the same as the solution to the given system of equations

Step-by-step explanation:

I just took the test and got it right

Ivenika [448]3 years ago
3 0
Option B.

Given that the equation 7x − 8y = 6 is multiplied by 1 and it is added to the first equation the new equation is

7x - 8y + x + 3y = 5 + 6; equivalent to

8x -5y =11; and the system is that equation with the second original one.
7x- 8y = 6
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Solve for a: a(a-3) =100
marissa [1.9K]
a(a-3) =100\\
a^2-3a-100=0\\
\Delta=(-3)^2-4\cdot1\cdot(-100)=9+400=409\\
\sqrt{\Delta}=\sqr{409}\\
a_1=\dfrac{-(-3)-\sqrt{409}}{2\cdot1}=\dfrac{3-\sqrt{409}}{2}\\
a_2=\dfrac{-(-3)+\sqrt{409}}{2\cdot1}=\dfrac{3+\sqrt{409}}{2}
5 0
3 years ago
The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the
Scilla [17]

Answer:

The answer is 120 feet.

Step-by-step explanation:

The area of the field (A) is:

A = w · l       (w - width, l - length)

It is known:

A = 12,000 ft²

l = w - 20

So, let's replace this in the formula for the area of the field:

12,000 = w · (w - 20)

12,000 = w² - 20

⇒ w² - 20w - 12,000 = 0

This is quadratic equation. Based on the quadratic formula:

ax² + bx + c = 0      ⇒  

In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000

Thus:

So, width w can be either

or

Since, the width cannot be a negative number, the width of the field is 120 feet.

6 0
2 years ago
Read 2 more answers
H=10 cm<br>T = 7 cm<br>A. Calculate the volume of the cylinder​
Brut [27]

Answer:

 70cm

Step-by-step explanation:

8 0
3 years ago
Y = -1/4x<br> x + 2y = 4<br><br> Show work
almond37 [142]

Answer:

Subtract xx from both sides of the equation.

−2y=4−x

6 0
3 years ago
Which pair of functions are inverse functions?<br><br> PLEASE ILL GIVE BRAINLIEST
algol13

Answer:

A

Step-by-step explanation:

To find an inverse function you switch f(x) and x, and solve for f(x) (in this case you also rename it to g(x) )

inverse of y=(x-4)/5  is  

5x =  x -4

x = 5x + 4  so A works

7 0
3 years ago
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