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Roman55 [17]
3 years ago
9

Find the rate of change for each linear function

Mathematics
1 answer:
mamaluj [8]3 years ago
8 0

Answer:

Answer = decrease of 22 m/min

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The vertices of ΔGHI are G (2, 4), H (4, 8), and I (8, 4). The vertices of ΔJKL are J (1, 1), K (2, 3), and L (4, 1). Which conc
Klio2033 [76]

Answer:

They are similar by the definition of similarity in terms of a dilation.

Step-by-step explanation:

The first step is finding the sides of each triangle.

In triangle GHI, we have that:

GH = sqrt((4-2)^2 + (8-4)^2) = 4.4721

HI = sqrt((8-4)^2 + (4-8)^2) = 5.6569

IG = sqrt((2-8)^2 + (4-4)^2) = 6

Now, for the triangle JKL, we have:

JK = sqrt((2-1)^2 + (3-1)^2) = 2.2361

KL = sqrt((4-2)^2 + (1-3)^2) = 2.8284

LJ = sqrt((1-4)^2 + (1-1)^2) = 3

The triangles are not congruent, because the sides are different

They are similar, because their sides have a proportion (sides of GHI are 2 times the sides of JKL). If they are similar, they have the same angles.

The ratio of their corresponding sides is 1:2, not 1:3

The ratio of their corresponding angles is 1:1, not 1:3

3 0
3 years ago
Jeremy traveled 345 miles to visit his cousin in north carolina. if he traveled at a rate of 60 miles per hour, how long did the
Orlov [11]
The trip took 5 hours and 45 mins
3 0
3 years ago
Find the 20th term of an A.P whose first term is 102 and common difference -3
Irina-Kira [14]

A(20) = a+(20-1)d

A(20) = 102+(19)(-3)

A(20) = 102-57 = 45

8 0
3 years ago
What is the completely simplified equivalent of 2/(5+i)?
Bezzdna [24]

namely, let's rationalize the denominator in the fraction, for which case we'll be using the <u>conjugate</u> of that denominator, so we'll multiply top and bottom by its <u>conjugate</u>.

so the denominator is 5 + i, simply enough, its conjugate is just 5 - i, recall that same/same = 1, thus (5-i)/(5-i) = 1, and any expression multiplied by 1 is just itself, so we're not really changing the fraction per se.

\bf \cfrac{2}{5+i}\cdot \cfrac{5-i}{5-i}\implies \cfrac{2(5-i)}{\stackrel{\textit{difference of squares}}{(5+i)(5-i)}}\implies \cfrac{2(5-i)}{\stackrel{\textit{recall }i^2=-1}{5^2-i^2}}\implies \cfrac{2(5-i)}{25-(-1)} \\\\\\ \cfrac{2(5-i)}{25+1}\implies \cfrac{2(5-i)}{26}\implies \cfrac{5-i}{13}

4 0
3 years ago
What addition expression is equivalent to<br> 3-(-7)?
Lesechka [4]

Answer:

3 - (-7)

= 3 + 7.

Step-by-step explanation:

A double negative  is equivalent to a plus.

4 0
3 years ago
Read 2 more answers
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