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2 years ago

What is the solution to the system of equations? y = x +2 y = 3x -2

Mathematics

1 answer:

Mrrafil [7]2 years ago

7 0

Answer:

x=2 and y= 4

Step-by-step explanation:

y = x +2 ----------(i)

y = 3x -2--------(ii)

Now, comparing (i) and (ii)

x+2= 3x-2

=>x-3x = -2-2

=>-2x= -4

=>2x= 4

=>x= 2

From eq (i)

y= x+2 = 2+2= 4

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Angelina_Jolie [31]

Answer:

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Step-by-step explanation:

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3 years ago

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Which number line shows the solution set for |p-3|=9?

Mademuasel [1]

Answer:

Option b

$p = -6$ or $p = 12$

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function $f(x) = |x|$ x> 0 for all real numbers.

Then the equation:

$|p-3| = 9$ has two cases

$(p-3) = 9$ if $h > 3$ (i)

$-(p-3) = 9$ if $h < 3$ (ii)

We solve the case (i)

$p = 9 + 3\\p = 12$

We solve the case (ii)

$-p +3 = 9\\p = 3-9\\p = -6$

Then the solution is:

$p = -6$ or $p = 12$

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3 years ago

3/10 divided by -3 1/2

Nitella [24]

The answer to this question is -3/35

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2 years ago

Find the arc length of the semicircle. Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal

cricket20 [7]

Answer:

The arc length of the semicircle is $5 \pi\ units$ or $15.7\ units$

Step-by-step explanation:

The complete question in the attached figure

we know that

The circumference of a semicircle is given by the formula

$C=\frac{1}{2}\pi D$

where

D is the diameter of the semicircle

we have

$D=10\ units$

substitute

$C=\frac{1}{2}\pi (10)$

$C=5 \pi\ units$ ----> exact value

Assume

$\pi =3.14$

$C=5(3.14)=15.7\ units$ ----> approximate value

therefore

The arc length of the semicircle is $5 \pi\ units$ or $15.7\ units$

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2 years ago

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2 years ago