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grigory [225]
3 years ago
8

Find the equation of the line which is perpendicular to the line y=− 1 3 x+6 through the point (2,4)

Mathematics
2 answers:
V125BC [204]3 years ago
6 0

Answer

y=3x-2

Step-by-step explanation:

nikklg [1K]3 years ago
5 0

The equation of the perpendicular line is   13y=27-x

Step-by-step explanation:

Writing the given equation to slope-intercept form.

y=− 1 3 x+6

The slope of this line is 13

The perpendicular slope is -1/13

Using  the new slope and the given point into the slope-intercept form to find the y-intercept.  

4=-1/13(2)+c

2=-1/13+c

c=27/13

 y=-1/13x+27/13

So the equation of the perpendicular line is 13y=27-x

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Jane bough 1.5 pounds of chicken, then went back to the store and bought 1 13/16 More pounds, how many total pounds did she buy
Studentka2010 [4]

Answer:

Step-by-step explanation:

1.5 + 1 13/16

O.5 = 1/2

(1+1)+(1/2 + 13/16)

2 + (8/16 + 13/16) = 2 21/16

4 0
2 years ago
T-activity-player/star/start
wolverine [178]

Answer:

$2400

Step-by-step explanation:

as you realize, it is going down by $400 per year

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3 0
2 years ago
The sum of 2 numbers (x and y) is 20, and their product is 51. What are the values of x and y
Murljashka [212]

Answer: 13&7

Step-by-step explanation:

The sum of two numbers x&y is 20

Product of the 2numbers xy is 51

X+y=20......equation 1

XY=51.........equation 2

X=20-y.......equation 3

Substitute for x inequation 3 into equation 2

So we have;

(20-y)y=51

Open the bracket

20y-y^2=51

Collect like terms,so we have

Y2-20y+51=0

Factorise

Factors of 51 is 13&7

So -13-7=-20 &-13×-7=51

Substitute

Y2-13y-7y+51=0

Y(y-13)-7(y-13)=0

(Y-7)(y-13)=0

Y-7=0

Y=7 or

Y-13=0

Y=13

Y=13 or 7

Substitute for y in equation 1

X+y=20

X+7=20

X=20-7

X=13 or

X+13=20

X=20-13

X=7

Therefore, X &Y = 13 &7

4 0
3 years ago
Given the same triangle from part C, if line segment AB measures 12 inches and line segment BC measures 5 inches what is the mea
exis [7]

Answer:

4.615 in

Step-by-step explanation:

Triangle ABC and ABD are similar because they have two corresponding congruent triangles that is right angle and ∠A. Triangle ABC and BCD are similar because they have two corresponding congruent triangles that is right angle and ∠C. Therefore Triangle ABC, ABD and BCD are similar. Since they are similar, then their sides are proportional in length.

In triangle ABC, using Pythagoras theorem:

AC² = AB² + BC²

AC² = 12² + 5²

AC² = 144 + 25 = 169

AC² = 169

AC = √169 = 13 in

Using similar triangle for ΔABC and ΔABD:

\frac{AC}{AB}= \frac{BC}{BD} \\\\\frac{13}{12}=\frac{5}{BD}\\\\BD=\frac{12*5}{13}\\ BD=4.615\ in

5 0
3 years ago
In an effort to learn more about the wild lemur population in Madagascar, a researcher wants to collect a sample. Which statemen
steposvetlana [31]

A reseacher wants to collect a sample to learn more about the wild lemur population in Madagascar. According to this, the true statement is the reseacher can assign each lemur a number and then use a systematic sampling (option A).

Systematic sampling is a form of sampling characterized by choosing the sample at random. According to the above, random sampling is the best option for the researcher.

It is not easy to study the entire population of lemurs in Madagascar, therefore systematic sampling is ideal. In this way, the researcher can sample a few lemurs and using this probability method can draw conclusions.

According to the above, the correct answer is A. because it presents information corresponding to the situation presented.

Learn more in: brainly.com/question/24317913

3 0
3 years ago
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