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3 years ago

What is the slope of the line represented by the equation below? y=-2/3x+3

Mathematics

1 answer:

astraxan [27]3 years ago

6 0

Answer:

-2/3

Step-by-step explanation:

The slope is the coefficient of x: -2/3.

___

This tells you how much y changes when x changes by 1 unit. The slope is the change in y divided by the change in x.

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According to his GPS, it will take Lanny 1 hour to travel 40 miles. Which expression shows how to determine the speed in miles p

Alex

Well, I would first make a table and then I would find the slope. That is my advice.

3 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

8 0

3 years ago

Nad podaną liczba wpisz liczbę 2 razy większa a pod nią 2 razy mniejsza

zepelin [54]

Sorry but I can't understand your language

3 0

3 years ago

PLEASE HELP! ASAP! URGENT!

grandymaker [24]

Answer:

g(-7)= -37

Step-by-step explanation:

g(y)= 7y + 12

plug in -7

g(-7)= 7(-7) + 12

simplify

g(-7)= -49 +12

g(-7)= -37

6 0

3 years ago

Please help me with this question

jek_recluse [69]

A is the correct answer

E is 90 degrees

ABE is 52 so EBD is 64
$(180 - 52) \div 2 = 128 \div 2 = 64$

so D is 26:
$180 - (90 + 64) = 180 - 154 \\ = 126$

good luck

3 0

3 years ago