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3 years ago

PLEASE HELP 15 POINTS!!!!!! What is the value of x?

Mathematics

1 answer:

Marina86 [1]3 years ago

7 0

Answer:

128 degrees

Step-by-step explanation:

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Find the center and radius of x^2 – 18x + y^2 -10y = -6. part two write x2 – 18x + y2 -10y = -6 in standard form

Aleks04 [339]

Answer:

see explanation

Step-by-step explanation:

I will begin with part two, first.

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

Given

x² - 18x + y² - 10y = - 6

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is

(x - 9)² + (y - 5)² = 100 ← in standard form

with centre = (9, 5 ) and r = $\sqrt{100}$ = 10

4 0

3 years ago

Find the perimeter of the pentagon MNPQR with vertices M(2, 4), N(5, 8), P(8, 4), Q(8, 1), and R(2, 1)

Gekata [30.6K]

Answer:

The pentagon MNPQR has a perimeter of 22 units.

Step-by-step explanation:

Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:

$p = MN + NP + PQ + QR + RM$ (1)

$p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}$ (1b)

If we know that $M(x,y) = (2,4)$ , $N(x,y) = (5,8)$ , $P(x,y) = (8,4)$ , $Q(x,y) = (8,1)$ and $R(x,y) = (2,1)$ , then the perimeter of the pentagon MNPQR is:

$p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}$ $p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}$

$p = 22$

The pentagon MNPQR has a perimeter of 22 units.

4 0

3 years ago

X subtract 9 equals 3 / 5X

Korvikt [17]

Answer:

$x=22\frac{1}{2}=22.5$

Step-by-step explanation:

$x-9=\frac{3}{5}x$

First, lets get rid of the fraction. I did this by multiplying both sides by $5$ .

$5(x-9)=5(\frac{3}{5}x)\\5x-45=\frac{5}{1} *\frac{3}{5}x\\5x-45=\frac{15}{5}x\\5x-45=3x$

We want to isolate $x$ on one side of this equation. Let's put any values with $x$ on one side of the equation, and normal integers on the other.

$2x=45$

Divide both sides by $2$ .

$x=\frac{45}{2}$

If your teacher wants you to leave your final answer as an improper fraction, your final answer is this. If they want it to be a mixed number or decimal, your final answer will be:

$x=22\frac{1}{2}=22.5$

7 0

3 years ago

So desperate. Last question on my HW and I can't do it.

vladimir2022 [97]

Will you please either write the question or upload a picture of it so we can help you with it?

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3 years ago

Which statement describes the relationship between kilometers and meters.

Verdich [7]

Statement B describes the relationship

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3 years ago

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