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Lady bird [3.3K]
2 years ago
14

What is an equation of the line that passes through the point (−3,−1) and is perpendicular to the line x-2y=6?

Mathematics
1 answer:
gogolik [260]2 years ago
5 0

Answer:

y = 2x+5

Step-by-step explanation:

rearrange the equation to make y the sof

y = 1/2x - 3

to find gradient of perpendicular line

1/2 ÷ ( - 1 )

y = -2x + c , the replace the coordinates (-3,-1)

y = 2x + 5

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You purchased concentrated cleaner that must be diluted (watered down)
abruzzese [7]

Answer:

The volume of the concentrated 80 gallons mixture is 20 gallons

The volume of water in the 80 gallons mixture is 60 gallons

Step-by-step explanation:

The given parameters are;

The content of Container A = The cleaner

The concentration of the cleaner = 20% solution

The content of Container B = Pure water

The concentration of the desired solution = 5%

The volume of the required solution = 80 gallons

Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture

Therefore, we have;

20/100 × x + y×0 = 5/100×80

x + y = 80

y = 80 - x

20/100 × x + (80 - x)×0 = 5/100×80

0.2·x = 4

x = 4/0.2 = 20

x = 20 gallons

y = 80 - x = 80 - 20 = 60

y = 60 gallons

The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons

The volume of water in the 80 gallons mixture = y = 60 gallons.

8 0
3 years ago
According to the graph, what is the experimental probability of selecting the letter E?
Daniel [21]

The experimental probability of letter E is: 3/25

Step-by-step explanation:

The given diagram is the number of outcomes for each letter is given

We have to find the total number of outcomes for finding the experimental probability of letter E

So,

Total outcomes = n(S) = 5+12+8+10+6+9 = 50

Number of outcomes for Letter E = n(E) = 6

So the experimental probability will be:

P(E) = \frac{n(E)}{n(S)}\\\\=\frac{6}{50}\\\\= \frac{3}{25}

Hence,

The experimental probability of letter E is: 3/25

Keywords: Probability, experimental probability

Learn more about probability at:

  • brainly.com/question/10610299
  • brainly.com/question/10688256

#LearnwithBrainly

7 0
3 years ago
If measure of angle 1 = 2x+6 and measure of angle 2 = 8x+4 where angles 1 and 2 are supplementary, then how much is the actual m
nlexa [21]

Answer:

The actual measure of ∠1 = 40°

Step-by-step explanation:

We are given: ∠1 = 2x+6 and ∠2 = 8x+4

and both angles are supplementary. we need to find the actual measure of ∠1

Supplementary angles: If the angles are supplementary their sum is equal to 180°

In our case ∠1 +∠2 = 180°

2x+6+8x+4=180

Solving the equation to find x, then we can find the actual measure of ∠1

2x+6+8x+4=180\\10x+10=180\\10x=180-10\\10x=170\\x=170/10\\x=17

So, value of x = 17

Now, finding actual measure of ∠1 by putting x=17 in equation 2x+6

\angle1=2(17)+6\\\angle1=34+6\\\angle1=40

So, the actual measure of ∠1 = 40°

8 0
2 years ago
The question is in the picture i attached. the right answer gets brainlist :) <3
sergeinik [125]

Answer:

∠ 4 = 130°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 4 is an exterior angle of the triangle , so

∠ 4 = ∠ 1 + ∠ 2 ( substitute values )

11x + 9 = 6x + 6 + 4x + 14 , that is

11x + 9 = 10x + 20 ( subtract 10x from both sides )

x + 9 = 20 ( subtract 9 from both sides )

x = 11

Then

∠ 4 = 11x + 9 = 11(11) + 9 = 121 + 9 = 130°

your friend may have only calculated ∠ 1

∠ 1 = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°

7 0
2 years ago
What is an equation of a circle with center (2, -1) that passes through the point (3, 4)?
Svet_ta [14]

Answer:

<em>(x - 2)^2 + (y + 1)^2 =  26</em>

Step-by-step explanation:

A circle with center O(2, -1) that passes through the point A(3, 4).

=> The radius of this circle is OA which could be calculated by:

OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]

The equation of a circle with center O(a, b) and radius r could be written as:

(x - a)^2 + (y - b)^2 = r^2

=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:

    (x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2

<=>(x - 2)^2 + (y + 1)^2 = 26

Hope this helps!

4 0
2 years ago
Read 2 more answers
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