2 years ago

Systems of equations with different slopes and different y-intercepts have one solution.

Mathematics

1 answer:

eduard2 years ago

4 0

A. Always because imagine a line where one is y=x and the other is y=-x+1. The point of intersection would be (1,1)

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Б) 3х2 – 10 = 152<br>how to solve with square root

Tju [1.3M]

Answer:

$3\sqrt{6}$ and $-3\sqrt{6}$

Step-by-step explanation:

We will take numbers to one side and variables to one side eliminate the "Square" with "Square Root" and solve for the variable x. The process is shown below:

$3x^2-10=152\\3x^2=152+10\\3x^2=162\\x^2=\frac{162}{3}\\x^2=54\\x=\sqrt{54}$

Now, we need to reduce the radical by using the rule shown below:

$\sqrt{x*y}=\sqrt{x} \sqrt{y}$

Now,

$\sqrt{54}=\sqrt{6*9} =\sqrt{6} \sqrt{9} =3\sqrt{6}$

The correct answer is $3\sqrt{6}$ and $-3\sqrt{6}$

<u>Note:</u> squaring positive and negative makes the same answer

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2 years ago

If y=f(x) then y=f(x-h), with h>0, causes the graph to move h units to the right. True/False?

sveta [45]

The correct answer is true

3 0

2 years ago

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Enter the number that belongs in the green box

OLga [1]

Answer:

x=96°

y=96°

Step-by-step explanation:

y=84° because of vertical angles. the measure of all 4 angles added together is 360°, so we add the 84° and the other 84° angle, and subtract them from 360° to get the sum of the other two angles

360°-(84°+84°)=192°

divide 192° by 2 to get the measure of one angle

therefore, x=96°

5 0

2 years ago

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81=n-3 (-5+4n<br> Equals what

lyudmila [28]

If 81=n-3(-5+4n)
81= n+15-12n
81= -11n+15
-11n=81-15
-11n=66
n=-6

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2 years ago

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