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Andrew [12]
3 years ago
9

Jaime cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y=1/3x +4. The second cu

t needs to be parallel to the first. it will pass through the point (0,-5). identify the equation that represent Jaime's second cut
A. y= -3x-5

B. y= 1/3x+5

C. y= 3x+5

D. y= 1/3x-5
Mathematics
1 answer:
Burka [1]3 years ago
5 0

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the statement we have the following equation:

y = \frac {1} {3} x + 4

Where:

m = \frac {1} {3}

By definition, if two lines are parallel then their slopes are equal.

Thus, the second equation will be of the form:

y = \frac {1} {3} x + b

We substitute the given point and find "b":

-5 = \frac {1} {3} (0) + b\\b = -5

Finally, the equation is:

y = \frac {1} {3} x-5

Answer:

Option D

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The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers?
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Step-by-step explanation:

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an ice cream company did a survey among high school students. it was found that 86 students liked vanilla ice cream and 48 of th
Kitty [74]

Answer:

300

Step-by-step explanation:

Students like Vanilla ice cream = 86

Out of 86 Students like chocolate ice cream too = 48

So, No. of students who like only vanilla=86-48 = 38

There were 12 students who did not like vanilla ice cream but liked chocolate ice cream.

There were 2 students who did not like either vanilla ice cream or chocolate ice

                                   Like Vanilla      Did not like vanilla     Total

Like Chocolate             48                           12                           60

Did not like chocolate  38                           2                             40      

Total                               86                          14                            100

No. of students who like chocolate out of 100 = 60

Now we are supposed to find the number of students who would like chocolate ice cream when 500 high school students participate in the survey.

Let x be the number of students out of 500 who like chocolate

So, A.T.Q

\frac{60}{100}=\frac{x}{500}

\frac{60}{100} \times 500=x

300=x

Hence the number of students who would like chocolate ice cream when 500 high school students participate in the survey is 300.

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Find the sum of the first 42 terms of the following series, to the nearest
balandron [24]

Answer:

Step-by-step explanation:

Find the sum of the first 42 terms of the following series, to the nearest integer.

2,7,12

Solution

The sum is given by  

SUM_n=n/2*(a_1+a_n)

a_n=a_1+(n-1)d

a_1=2,   n=42,     d=5

The 42nd term is therefore given by  

a_42=2+(42-1)5=207

SUM_42=42/2*(2+207)=21*209=4389

The sum of the first 42 terms of the series, therefore, is 4389

5 0
3 years ago
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