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goldfiish [28.3K]
2 years ago
15

What is the slope of a line perpendicular to the line whose equation is 6x+4y=-56

Mathematics
1 answer:
alex41 [277]2 years ago
5 0

Answer:

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.Step-by-step explanation:

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6= 24-6a what is a.......................
AnnyKZ [126]

Answer:

3

Step-by-step explanation:

6=24-6a

6a=24-6

6a^6=18^6

a=3

3 0
3 years ago
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What is the slope of the line through (-4,2) and (3,-3)
lubasha [3.4K]

Answer:

-5/7

Step-by-step explanation:

Slope ,

=(y2-y1)/(x2-x1)

=(-3-2)/(3+4)

=-5/7

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Which explains whether or not the values in the table represent a direct variation?
Assoli18 [71]

Answer:

This function represents a direct variation because it passes through the origin and has a constant rate

4 0
3 years ago
A cyclist travels at a rate of 1.8 kilometers per minutes.how fat will the cyclist travel in 48 minutes?
WARRIOR [948]
You would multiply 1.8 × 48 to find your answer.

1.8
×48
--------
14.4
+72.0
--------
86.4

So the cyclist travels 86.4 km
4 0
3 years ago
Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable
notsponge [240]

Complete Question

ymposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 498 five-syllable sequences from this manuscript showed that 129 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use = 0.01.  

a. What is the value of the sample test statistic? (Round your answer to two decimal places.)  

b. Find the P-value of the test statistic. (Round your answer to four decimal places.)

Answer:

a) Z=2.45

b) P Value=0.0073

Step-by-step explanation:

From the question we are told that:

Probability of Wishart and Leach P=21.4=>0.214

Population Size N=498

Sample size n=12

Therefore

P'=\frac{129}{498}

P'=0.2590

Generally the Null and Alternative Hypothesis is mathematically given by

H_0:P=0.214

H_a:=P>0.214

Test Statistics

Z=\frac{P'-P}{\sqrt{\frac{P(1-P)}{n}}}

Z=\frac{0.2590-0.214}{\sqrt{\frac{0.214(1-0.214)}{498}}}

Z=2.45

Therefore P Value is given as

P Value =P(Z\geq 2.45)

P Value =1-P(Z\leq 2.45)

P Value =1-0.99268525

P Value=0.0073

7 0
3 years ago
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