How many solutions does the system of Equations have?

Answer:

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                              y - y₁ = m(x - x₁)

m = ¹/₃

(-2, 8)    ⇒   x₁ = -2,  y₁ = 8

Therefore,  the equation of the line which passes through (-2, 8) and with slope of 1/3 in point-slope form:

y - 8 = ¹/₃(x - (-2))

y - 8 = ¹/₃x + ²/₃                   {multiply both sides by 3}

3y - 24 = x + 2                    {subtract x from both sides}

-x + 3y - 24 = 2                     {add 24 to both sides}

-x + 3y = 26

Answer:

Step-by-step explanation:

Surface Area = 4πr²

Volume = 4/3 πr³

VOLUME

4/3 *6³ *π=

4/3 *216π

216/3 = 72*4 = 288π

SURFACE AREA

4*π*6²=

4*36π=

144π

Overall the answer should be C.

Answer:

Step-by-step explanation:

Since, both the triangles of the paperweight are congruent,

Their corresponding sides will be congruent.

3x + 2.5 = 4

3x = 4 - 2.5

x = 0.5

Similarly, 2y - 5 = 3x + y

2y - y = 3x + 5

y = 3x + 5

y = 3(0.5) + 5

y = 1.5 + 5

y = 6.5

Total length of the hypotenuse = 2y - 5

                                                    = 2(6.5) - 5

                                                    = 13 - 5

                                                    = 8

Option B is the answer.

Total length of the base = (3x + 2.5) + 4

                                        = 3x + 6.5

                                        = 3(0.5) + 6.5

                                        = 8

Option B is the answer.

Answer: Part A : 4x-6 < 66

Part B : 15

Step-by-step explanation: I don't understand how to explain part A, but for part B, you subtract 66 by 6 to get 60. Then, divide 60 by 4 to get 15, the largest number you can have.

Answer:

6/10

Step-by-step explanation:

Answer:

It is B 8/10

Step-by-step explanation:

Answer:

5842 people after 2 months

Step-by-step explanation:

Given

Initial Value: [tex]a =10000[/tex]

Rate: [tex]r = 20\%[/tex] every 6 months

Required

Number of people using it after 2 months

The function follows an exponential model.

So, we need to first write out the function.

If Rate: [tex]r = 20\%[/tex] every 6 months

Then

Rate: [tex]r = 40\%[/tex] after 1 year

[tex]r = 0.04[/tex]

The function is represented as:

[tex]y = ar^x[/tex]

So:

[tex]y = 10000 * 0.04^t[/tex]

For 2 months, we have:

[tex]t = 2\ months[/tex]

Convert to years

[tex]t = \frac{2}{12}[/tex]

[tex]t = 0.167[/tex]

[tex]y = 10000 * 0.04^t[/tex]

[tex]y = 10000 * 0.04^{0.167}[/tex]

[tex]y = 5842[/tex]

Answer:

No, it would be 72

Step-by-step explanation:

In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)

Pls give brainliest

Answer:

um.... 17??????????????????

Answer:

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Step-by-step explanation:BHDHEJKNHRGHRFYRHDHNHNEBFDYHFBVUUUFHECHFHVYGDFRFHRHFFRUFYYRFFRYFYFYRFREYRYFGFWYBGT

Answer:

9

Step-by-step explanation:

If PQ || to BC

Then by BASIC PROPORTIONALITY THEOREM:

[tex] \frac{8}{40} = \frac{x}{45} \\ \\ \frac{1}{5} = \frac{x}{45} \\ \\ x = \frac{45}{5} \\ \\ x = 9[/tex]

Answer:

[tex]5 - 4x = - 7[/tex]

Step-by-step explanation:

Let the missing variable be x then yiu will get the answer above

Answer:

3

Step-by-step explanation:

5 - 4x = -7

add 4x to each side of the equation:

5 = 4x - 7

add 7 to each side:

12 = 4x

divide both sides by 4:

x = 3

proof:

5 = 4(3) - 7

5 = 12 - 7

5 = 5

Answer:

4

Step-by-step explanation:

1 ÷ 0.25 = 4

The best describes the slope of the line is,

⇒ Undefined

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

A line is shown in graph.

Since, In the graph of line, we have;

A straights line is shown and the x - coordinates is same for each point of line.

Hence, By definition of slope,

Slope = undefined

Thus, The best describes the slope of the line is,

⇒ Undefined

Learn more about the equation of line visit:

https://brainly.com/question/18831322

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Answer:

2ft 8in

Step-by-step explanation:

Text if you want explanation. Welcome❤

Anyways,

the sample is the 100 trees checked. Thats cause they checked all 100 and found 24 had damage. Which means they sampled 100 trees out of the whatever amount in the forest.

================

[SEPARATE QUESTION]

Separate question since people are confused about it in the previous answers comments "Which of the following statements best describes the bias that may arise from the results?":

I can confirm A is wrong. C just, feels wrong completely.

So that leaves us with B or D.

I think it's D: Trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage of the trees.

I have not finished yet but I am 95% sure D is correct.

The reason why I don't believe it's B is because they want to resample near the same road, which can still result to biased results.

================

ED2021

Among all the given descriptions, the one that is describing the sample in the given setting is: “all white pine trees in the state park.” Hence, Option D is correct.

A sample is merely a subset of the population. Consider a scenario in which one wished to determine the average income for all Americans in the population. In terms of research, a sample is a collection of individuals, things, or things that are taken for measurement from a wider population.

To ensure that the findings from the research sample can be applied to the population as a whole, the sample should be representative of the population. 100 trees that were examined are the sample.

That's because they examined all 100 and discovered that 24 had damage, which means that they took 100 samples from the total number of trees in the forest.

The findings may exaggerate the total extent of the damage to the trees since trees close to the road may have sustained more damage than those farther away from it.

Therefore, Option D is correct.

Learn more about sample from here:

https://brainly.com/question/13287171

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Answer:

all i know is 6 is 72/30 because I'm busy right now sorry that I don't have the simplest form of answer

Answer:

6. 2 2/5

7. 66/145

8. 1 1/5

Step-by-step explanation:

Answer:

210in^3

Step-by-step explanation:

Given data

Dimension

Length= 5in

Width= 6in

Height= 7in

The expression for the volume of a rectangle is given as

Volume= L*W*H

Substitute

Volume= 5*6*7

Volume= 210in^3

Answer:

the angle closest to the 40degree angle is a right angle, so it is 90 degrees. The one with two lines is 50 degrees, and the farthest angle is 40 degrees

Step-by-step explanation:

A square symbol over an angle means it is a right angle, so it will always equal 90 degrees.

The already labeled angle (40 degrees) is equal to the farthest angle.

Once you have two angles, you can find the third angle by simply subracting the two from 180 like this:

180 - 90 - 40 = 50 degrees.

Answer:

B

Step-by-step explanation:

is this answer

Answer:

y=-1/3x-6

Step-by-step explanation:

Perpendicular lines have slopes that are negative and reciprocal; if you multiply them together, the result is -1

so, to find the slope of the new line:

3m=-1

divide by 3

m=-1/3

the slope of the new line is -1/3

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept.

Here's our equation so far:

y=-1/3x+b

since the line passes through the point (9,-9), we can use it to solve for b

substitute into the equation:

-9=-1/3(9)+b

-9=-3+b

-6=b

b is -6

here's our equation

y=-1/3x-6

hope this helps! :D

Answer:

Circumference of circle = 18π inches

Step-by-step explanation:

Given the following data;

Area of circle = 81π in²

To find the circumference;

First of all, we would find the radius of the circle using the area of circle formula.

Area of circle = πr²

Substituting into the formula, we have:

81π = πr²

Dividing both sides by π, we have;

81 = r²

Taking the square root of both sides, we have;

r = 9 inches

Now, to find the circumference of the circle;

Circumference of circle = 2πr

Circumference of circle = 2*π*9

Circumference of circle = 18π inches.

Answer:

it is y=-3/2x+6 and then you subtract it by 2 and then add 7 and then u get 49

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The answer should be B

Answer: 5 min

Step-by-step explanation:

Given

Length of the race track [tex]l=1\ km\ or\ 1000\ m[/tex]

Suppose the speed of Yohanne is [tex]v_y=x\ m/min.[/tex]

then  Mikaela speed is [tex]v_m=50+x[/tex]

the difference in the finishing time is 1 minute i.e.

[tex]\Rightarrow \dfrac{1000}{x}-\dfrac{1000}{50+x}=1\\\\\Rightarrow \dfrac{50+x-x}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow \dfrac{50}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow x^2+50x-50,000=0\\\\\Rightarrow x^2+250x-200x-50,000=0\\\\\Rightarrow (x+250)(x-200)=0\\\\\Rightarrow x=200\ m/min.[/tex]

Time taken by Yohanne is

[tex]\Rightarrow t=\frac{1000}{200}=5\ min[/tex]

Answer:

BC= 2√5

CD= 2√10

DE= 2√5

BE= 2√10

slope of BC = 2

slope of CD = 1/3

slope of DE = 2

slope of BE = 1/3

Step-by-step explanation:

formula for distance = √(x2-x1)²+(y2-y1)²

formula for slope = (y2-y1)/(x2-x1)

Answer:

The answer is below

Step-by-step explanation:

The distance between the upper left coordinate and the upper right coordinate is the length of the rectangle. Hence:

[tex]length=\sqrt{(4-(-1))^2+(7-7)^2} =5\ units\\[/tex]

Area = length * breadth

20 = 5 * breadth

breadth = 4 units

The bottom left coordinate would have the same x coordinate as the upper left coordinate. Hence, bottom left coordinate = (-1, y₁)

The distance between the upper left coordinate and the bottom left coordinate is the breadth of the rectangle. Hence:

[tex]breadth=\sqrt{(-1-(-1))^2+(y_1-7)^2} =4\ units\\\\ y_1-7=\pm 4\\\\y_1=4+7=11\ \ or\ y_1=-4+7=3[/tex]

Since it is at the bottom, hence y₁ = 3. Hence bottom left coordinate = (-1, 3)

Bottom right coordinate has same y coordinate as bottom left coordinate and same x coordinate as upper right. Hence bottom right coordinate = (4, 3)

Question:

In triangle FGH, the measure of angle H = 90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of angle G?

___________________________________________________

Solution:

The triangle FGH should look like that in the attachment.

Tangent of angle G = opposite side/adjacent side

= FH/HG

= 55/48