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Elanso [62]
4 years ago
14

What are the necessary criteria for a line to be perpendicular to the given line and have the same y-intercept?

Mathematics
2 answers:
77julia77 [94]4 years ago
7 0

Answer:

The slope is -3/2 and contains the point (0, −2). Which is b.

Step-by-step explanation:

(-3,-4) (3, 0)

slope = (0 +4) / (3 + 3) = 4/6 = 2/3

perpendicular so slope = -3/2

line on graph

y = mx + b

0 = 2/3 (3) + b

0 = 2+ b

b = -2

y intercept (0,-2)

svetlana [45]4 years ago
6 0
Y=-(3/5)x-7is the anwser because this is the form y=mx+b where m=5/3 any line perpendicular to this given line will have the slope of -1/m so, in this case slope of perpendicular is: -1/(5/3) = -3/5 we know the y-intercept is -7, point (0, -7) so wave: <span>y = -(3/5)x - 7</span>
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Given right triangle DEF, what is the value of sin(E)?<br> A. 3/5<br> B. 3/4<br> C. 4/5<br> D. 4/3
wariber [46]

Answer: OPTION A.

Step-by-step explanation:

First you must calculate the lenght of the side DF by applying the Pythagorean theorem, as following:

DE=\sqrt{10^{2}-8^{2}}=6

Now you can find sin(E) as you can see below:

sin\alpha=opposite/hypotenuse

Where:

\alpha=E\\opposite=DF=6\\hypotenuse=EF=10

Then:

 sin(E)=6/10

sin(E)=3/5

8 0
4 years ago
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Correct and smartest answer gets brainliest and full ratings. :)
Naddik [55]
The answer is C) y=-5/2x-3
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3 years ago
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With her new trainer, Judy now bikes at an average speed of 24.1 MPH. That is 20.5% faster than she averaged with her old traine
marishachu [46]

Answer: an average of 13.5 mph is very respectable

Step-by-step explanation:

5 0
3 years ago
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Which of the following is an infinite series?
Brut [27]
<h3>Answer: Choice C)  2 - 6 + 18 - 54 + ...</h3>

Explanation:

The three dots or ellipses indicate the pattern goes on forever to infinity. So the answer is between choices A and C based on this alone. Choice A is a sequence while choice C is a series. A sequence is simply a list of values often in some kind of mathematical pattern. A series is where you add values from a sequence together. This distinction rules out choice A and makes choice C the answer.

Note: choice C is a geometric series with first term 2 and common ratio -3. The infinite series diverges because r = -3 is outside the range -1 < r < 1.

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In a fruit cocktail, for every 15 ml of orange juice you need 25 ml of apple juice and 10 ml of coconut milk. What proportion of
frosja888 [35]

Answer:

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Step-by-step explanation:

Step 1: Find the total mL in the concoction

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Step 2: Find the proportion of orange juice in 1 serving (50 mL) of cocktail

15/50 = 3/10

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