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2 years ago

Reflect AQ'R'S' if Q'(1, -3), R'(-2,-6), and S'(-1,-1) over the x-axis.

Mathematics

1 answer:

castortr0y [4]2 years ago

6 0

Answer:

Step-by-step explanation:

The rule of reflecting over the x-axis is that point (x, y) →( x, -y) so

Q'(1, -3), R'(-2,-6),and S'(-1,-1) reflected over the x-axis, become

Q"(1, 3), R"(-2, 6), and S"(-1, 1) .

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djyliett [7]

Answer:

Exact circumference is $7\frac{49}{150}km$

Approximate circumference is $7.33 km$

Step-by-step explanation:

We are given;

The diameter of a circle as $2\frac{1}{3} km$

We are required to determine the exact and approximate circumference of the circle.

We know that the circumference of the circle is given by;
Circumference = πD, where D is the diameter

Taking π as 3.14

$Circumference=3.14 (2\frac{1}{3}km)$

$=7\frac{49}{150}km$

The exact circumference of the circle is $7\frac{49}{150}km$

$7\frac{49}{150}km=7.327 km\\ = 7.33 km (nearest hundredth)$

Thus, the approximate circumference of the circle is $7.33 km$

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3 years ago

suppose the population of a certian city is 3784 thousand it is expected to decrease to 3001 thousand in 50 years find the perce

scoundrel [369]

Answer:

96%

Step-by-step explanation:

96% decrease

7 0

3 years ago

write an equation using ''x'' and then solve the equation. on the new year eve there were 7,580 tons of cargo loaded in the morn

vovikov84 [41]

Answer: 12,997 - 7,580 = x

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Step-by-step explanation: 12,997 - 7580 = 5417

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8 0

3 years ago

Determine the measure of each segment then indicate whether the statements are true or false

kupik [55]

Answer:

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)

B(2, 5)

Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

$=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}$

$=\sqrt{6^2+1}$

$=\sqrt{36+1}$

$=\sqrt{37}$

$d_{AB}\:=\sqrt{37}$

$d_{AB}=6.08$ units

Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

$d_{JK}=5$ units

Given the vertices of the segment GH

G(-5, -2)

H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

$=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}$

$=\sqrt{3^2+0}$

$=\sqrt{3^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

Thus, from the calculations, it is clear that:

$d_{AB}=6.08$

$d_{JK}=5$

$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

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3 years ago

Susan needs to walk a total distance of 1/2 of a mile. She has walked 1/8 of a mile so far. How much further does she have to go

Zielflug [23.3K]

Step-by-step explanation:

Susan needs to walk a total distance of 1/2 of a mile. She has walked 1/8 of a mile so far. How much further does she have to go? Simplify the fraction if possible.

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2 years ago