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2 years ago

2) A pool is being filled with a hose. The equation y=12x represents the relationship between

Mathematics

1 answer:

faltersainse [42]2 years ago

8 0

Answer:

Step-by-step explanation:

y = 12x.

A) x=8, so that y = 12(8) = 96. It's on the line

B) x = 10, so that y = 12(10) = 120. It's on the line

C) x = 15, so that y = 15(12) = 180. It's on the line

D) x = 18, so that y = 18(12) = 216, not equal to 206. So, the point is not on the line.

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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

8 0

3 years ago

HELPPP

Alexxandr [17]

Hope this helps you

3 0

3 years ago

Juanita is scrapbooking. She usually completes about 9 pages per hour. One night last week she completed pages 23 through 47 in

Ad libitum [116K]

Answer:

Step-by-step explanation:

She worked at an average of 9.6 pages per hour. 47-23=24 pages 24 pg/2.5 hours= 9.6 pages per hour.

4 0

3 years ago

Help, please! f(x)=x^2 what is g(x)?

Cloud [144]

Answer:

Step-by-step explanation:

If you substitute in the value x = 1, and y = 4 (based on the point given), (2x)^2 is the only expression that makes it work.

Hope this helps!!

4 0

3 years ago

Read 2 more answers

Write down a pair of integers whose

liubo4ka [24]

<span>The pair of integers that I chose are:

(a) sum is –3
5 + (-8) = -3

(b) difference is –5
2 - 7 = -5

(c) difference is 2
14 -12 = 2

(d) sum is 0
2 - 2 = 0</span>

3 0

3 years ago