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Masja [62]
2 years ago
6

if y=12x+7 were changed to y=12x+2, how would the graph of the new function compare with its original

Mathematics
1 answer:
iogann1982 [59]2 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 12x + 7 ← is in this form

with m = 12 and c = 7

y = 12x + 2 ← is also in this form

with m = 12 and c = 2

Since the slopes are equal the lines are parallel

c = 7 → c = 2 is a vertical translation of 5 units down

In comparison the line y = 12x + 2 is parallel to y = 12x + 7

and translated < 0, - 5 >

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Yuliya22 [10]

Answer:P

Step-by-step explanation:

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4 0
2 years ago
What is the length of AB?
Xelga [282]

Answer:

<em>AB = 7.35 cm</em>

Step-by-step explanation:

From the attachment,

In ΔDEF,

DF = GH-(GD+FH) = 6 - (2+3) = 1 cm

DE = 2+3 = 5 cm (sum of two radius)

Applying Pythagoras theorem,

EF=\sqrt{DE^2-DF^2}=\sqrt{5^2-1^2}=\sqrt{24}=2\sqrt6

In ΔCDI,

DI = GH-(GD+IH) = 6 - (2+1.5) = 2.5 cm

CD = 2+1.5 = 3.5 cm (sum of two radius)

Applying Pythagoras theorem,

CI=\sqrt{CD^2-DI^2}=\sqrt{3.5^2-2.5^2}=\sqrt6

AB = EF + CI = 2\sqrt6+\sqrt6=3\sqrt6=7.35\ cm

6 0
3 years ago
Read 2 more answers
What additional information would you need to prove that ΔABC ≅ ΔDEF by SSS?
Ludmilka [50]
For the answer to the question above asking <span>What additional information would you need to prove that ΔABC ≅ ΔDEF by SSS? 
The answer to your question is </span><span>AB = DE & BC = EF, so the only sides missing are AC = DF, </span>

<span>so Side AC is congruent to side DF is the answer.

I hope my answer helped you. Have a nice day!
</span>
5 0
3 years ago
Read 2 more answers
Identify the domain and range of the relation:<br> (-5,-3), (-2,1), (1,4), (2,5)
jonny [76]

Domain is the x-coordinate and range is the y - coordinate

\therefore \: domain =  \{ - 5, \:  - 2, \: 1, \: 2 \} \\  \\ \&\: range =  \{  - 3, \: 1, \: 4, \: 5\}

3 0
3 years ago
Helpppppp Asap!!!!!! The question is in the picture
Dominik [7]

The approximate length of side AB is 14.0. The correct option is B. 14.0 units

<h3>Law of sines </h3>

From the question, we are to determine the measure of side AB

First, we will determine the measure of angle A

A + B + C = 180° (<em>Sum of angles in a triangle</em>)

A + 65° + 35° = 180°

A = 180° - 65° - 35°

A = 80°

Now, using the law of sines

c/sinC = a/sinA

c = AB

a = BC =  24

Thus,

c/sin35° = 24/sin80°

c = (24×sin35°)/sin80°

c = 13.978

c ≈ 14.0

∴ AB = 14.0

Hence, the approximate length of side AB is 14.0. The correct option is B. 14.0 units

Learn more on Law of sines here: brainly.com/question/24138896

#SPJ1

4 0
1 year ago
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