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3 years ago

Find the solution of this system

Mathematics

1 answer:

Allisa [31]3 years ago

3 0

There isn’t a solution

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What is the distance between P(12, 4) and Q(-8, 2)

abruzzese [7]

$\huge{\boxed{2 \sqrt{101}}}$

The distance formula is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are the points.

Substitute in the points. $\sqrt{(2-4)^2+(-8-12)^2}$

Subtract. $\sqrt{(-2)^2+(-20)^2}$

Solve the exponents. $\sqrt{4+400}$

Add. $\sqrt{404}$

Now, we can simplify this square root just a little bit. $404$ has a square factor of $4$ . $\sqrt{404}=\sqrt{4}*\sqrt{101}$

The square root of $4$ equals $2$ . $\boxed{2 \sqrt{101}}$

6 0

3 years ago

Read 2 more answers

Please help, will give brainliest!<br>(please explain how as well)

vovikov84 [41]

Answer:

Step-by-step explanation:

Since GJ bisects ∠ FGH , then ∠ FGJ = ∠ JGH = x + 14

∠ FGH = ∠ FGJ + ∠ JGH , substitute values

4x + 16 = x + 14 + x + 14 = 2x + 28 ( subtract 2x from both sides )

2x + 16 = 28 ( subtract 16 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Thus

∠ FGJ = x + 14 = 6 + 14 = 20° → C

4 0

3 years ago

Find the value of r so the line that passes through each pair of points has the given slope.

3241004551 [841]

Answer:

r = 1

Step-by-step explanation:

slope = change in y / change in x, so:

change in y / change in x = 2/3

5 - r / 7 - 1 = 2/3

5 - r / 6 = 2/3

$\frac{5-r}{6}=\frac{2}{3}$

now solve this equation.

first, multiply both sides by 6 to get rid of the fraction:

$5 - r = 4$

subtract 5 from both sides

$-r=-1$

multiply both sides by -1

$r=1$

7 0

3 years ago

Derek says that the quotient of -2/7 divided by -2/21 is -1/3. Part A: What is the correct quotient? Part B: What mistake did De

Thepotemich [5.8K]

Answer:

The correct quotient is 3.

I think Derek has mistaken to divide $-\frac{2}{21}$ by $\frac{2}{7}$ .

Step-by-step explanation:

We have to check the quotient of $(-\frac{2}{7}) \textrm{ divided by }(-\frac{2}{21})$ .

Part A:

Now, $(-\frac{2}{7}) \textrm{ divided by }(-\frac{2}{21})$ .

= $\frac{-\frac{2}{7} }{-\frac{2}{21} } =3$

So, the correct quotient is 3.

Part B:

Derek says that the quotient is $-\frac{1}{3}$ .

So, I think Derek has mistaken to divide $-\frac{2}{21}$ by $\frac{2}{7}$ . (Answer)

8 0

3 years ago

What is the equation of the blue line

Sauron [17]

Answer:

y=2x+3

Step-by-step explanation:

Use the equation: y=mx+b

m is the slope (2 in this case)

b is the y intercept (3 in this case)

So the equation of the line would be y=2x+3

5 0

2 years ago