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A line passes through (4, 5) and (8, 9). Which equation best represents the line? (4 points)

A.y = x + 1
B.y = 1
C.y = 2x + 1
D.y = 5x + 8

Answer:

The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3

Step-by-step explanation:

The given information are;

The vertices of ΔPQR are;

P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)

Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

For side PQ, we have;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)

Given that the points have equal y-values, the length is the difference of their x-values as follows;

[tex]l_{PQ}[/tex] = 6 - 3 = 3

Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;

[tex]l_{QR}[/tex] = -3 - (-6) = 3

Length PR is given as follows;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)

[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]

[tex]l_{PR}[/tex] = 3·√2

For P'Q', we have

P'(-2, 2), Q'(-2, 1)

[tex]l_{P'Q'}[/tex] = 2 - 1 = 1

[tex]l_{P'Q'}[/tex] = 1

For Q'R', we have

Q'(-2, 1), R'(-1, 1)

[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1

[tex]l_{Q'R'}[/tex] = 1

For P'R', we have;

P'(-2, 2), R'(-1, 1)

[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]

[tex]l_{P'R'}[/tex] = √2

Therefore, given that we have

PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3

The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.

Step-by-step explanation:

Here you go, I tried my best

cheers

The original fraction is [tex]\frac{4}{8}[/tex]

Let the numerator = a

Let the denominator = b

Denominator is 4 larger than the numerator: b = a + 4

2 is added to both the numerator and the denominator: (a + 4 +2) and a + 2

The algebraic equation from the given statement is formed as follows;

[tex]\frac{a+ 2}{a+4+2 } = \frac{3}{5} \\\\\frac{a+ 2}{a + 6} =\frac{3}{5} \\\\5(a + 2) = 3(a + 6)\\\\5a + 10 = 3a + 18\\\\5a - 3a = 18 -10\\\\2a = 8\\\\a =4[/tex]

The original fraction is calculated as follows;

[tex]\frac{a }{a +4} = \frac{4}{4+ 4} = \frac{4}{8}[/tex]

Thus, the original fraction is [tex]\frac{4}{8}[/tex]

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Answer: Im not sure if this is correct I just need points. B

Step-by-step explanation:

Option D is correct,  1/216 is the equivalent expression of 6⁻³ .

The given expression is 6⁻³.

Six to the power of minus three.

We have to find the equivalent expression.

Equivalent expression are expressions whose value is same but looks different.

6⁻³ can be written as 1/6³.

1/6×6×6

1/216.

Hence, 1/216 is the equivalent expression of 6⁻³ .

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Answer:

2

Step-by-step explanation:

slope=∆y/∆x

thus any values of x and y in the table can be used.

slope=(11-9)÷(4-3)

slope= 2.

Answer:

slope=∆y/∆x

thus any values of x and y in the table can be used.

slope=(11-9)÷(4-3)

slope= 2.

Answer:

y=5x+31

Step-by-step explanation:

y=mx+b

1=(-6*5)+b

1=-30+b

31=b

y=5x+31

(5*-6)+31

-30+31

1

you can also graph a line on desmos

Answer:

1. 371 × d = 52

2. n - 320 = 139

3. 317 = k + 110

4. 374 + k = 305

5. 398 = d + 6

Step-by-step explanation:

1. 371 × d = 52

d = 52/371

d = 0.14016172506

2. n - 320 = 139

n = 139 + 320

n= 459

3. 317 = k + 110

k = 317 - 110

k = 207

4. 374 + k = 305

k = 305 - 374

k = -69

5. 398 = d + 6

d = 398 - 6

d = 392

Answer:

It should be $20,000

Step-by-step explanation:

From $20,000 to $14,000 = -30%

Which the -30% is the discount basically

So your final answer should be $20,000

$20,000 was the original price.

Answer:

y=0.25x+3

Step-by-step explanation:

First, you find the slope.

This is done by plugging in to the equation y2 - y1 / x2 - x1

Let 6 and 4 by x2 and y2 and 4 and 1 be x1 and y1.

4-1 / 6-4 = 3/2

The slope is 3/2.

Now, y = 3/2 x +b

To solve for b, plug in a point.

I plugged in (6, 4)

4 = 3/2(6) + b

4 = 9 + b

-5 = b

So, the equation is y = 3/2 x - 5

Hope this helps

[tex]y = \frac{3}{2} x - 5[/tex]

Answer:

5 dollars

Step-by-step explanation:

Answer:

The overall change in field position is 7yds, 0 - 5 + 12 = 7, if that isn't a "sum of integers" I apologize.

Step-by-step explanation:

Answer:

John went out to buy apples, the apples at the store each costed 0.5 dollars. How much money did John spend if he bought 50 apples?

Pretty simple, hopefully it is good enough, hope this helps!

A line's equation is a unified representation of all of the line's points.

Find the equation of the line pass though origin and slope 1/2 ?

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Answer:

1 1/3

Step-by-step explanation:

-4/9 ÷ -1/3

Copy dot flip

-4/9 * -3/1

Rewriting

-4/1 * -3/9

simplify

-4/1 * -1/3

Multiply

4/3

Change to a mixed number

1 1/3

Answer:

So the quotient is when you divide so it would be the last one 1 and 1/3

Step-by-step explanation:

-4/9x3/-1(flip the reciprocal)

-12/-9

remove both negatives

simplify and divide both by three and you should get 4/3 which is 1 1/3

Answer: 9 (with a margin of: 0)

Step-by-step explanation:

Times everything by 5

That gives you 15 + 10w = 105.

Subtract 15 from both sides

Divide by 10 to get w by itself

Then you solve

Answer:

the distance to the beach is 27.5 miles (multiple choice is under rated)

Answer:

19.20

Step-by-step explanation:

P.S im not a genius

Answer:

y=1/3-1 ...............

Step-by-step explanation:

AuB={3,4,7,9}U{8,9,10,11}

Answer: 9:7

Subtract 32 by 14, because there are 14 red marbles.

32 - 14 = 18.

Now, get the numbers 14 and 18. Reduce them to the lowest.

18 ÷ 2 = 9

14 ÷ 2 = 7

Make 9 & 7 to a ration.

Ration- 9:7

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

Explanation

There are 32 marbles and 14 are red. If there are only two colors, then we have 32-14 = 18 blue marbles.

The ratio of blue to red is 18:14. We write the two values separated by a colon. The order matters (blue comes first, then red).

The last step is to reduce the ratio 18:14 to 9:7. Note how I divided both parts by the GCF 2.

Answer:

(2y+50)+(7x-248)=180    (solve for x and y)    supplementary angles add up to 180 and these two angles are supplementary complements

(5y-17) + (x+44) = 180   (solve for x and y)

Step-by-step explanation:

Answer:

addition add 3 to both sides to isolate the variable term

Step-by-step explanation:

true i think i think its true

No, the coordinates can not be the solution to find the answer. I know this because to find a slope-intercept equation you would need to have 2 coordinates. You would need 2 coordinates to first find the slope of the equation (m) in the equation y=mx+b.

Answer:

[tex]\frac{3}{11}[/tex]

Step-by-step explanation:

[tex]\frac{5-2}{7- (-4)}[/tex]  =   [tex]\frac{3}{11}[/tex]

Answer:

5:20 3:12

Step-by-step explanation:

The first number is 1/4 the size of the second number, hence thise being correct.

Answer: 38° obtuse isosceles 26° obtuse scalene 60° acute equilateral 22° right scalene

Step-by-step explanation:

Trust me

We can match like this

Angle measures : 38 degrees, 38 degrees  and 104 degrees

Side lengths :  8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

Acute equilateral triangle

"An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. These triangles are scalene and obtuse at the same time. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures."

"A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal."

"The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length."

"In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute."

In the first option

Angle measures : 38 degrees, 38 degrees  and 104 degrees

Side lengths :  8 inches, 8 inches, 11 inches

We can observe that one of the angle is greater than 90 degrees and two sides of the triangle are equal in length.

The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length.

In the second option

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

We can observe that one of the angle is right angle and all sides are different.

A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal.

In the third option

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

We can observe that an angle is greater than 90 degrees and all the sides with different lengths.

An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures.

In the fourth option

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

We can observe that all the angles are equal and angles are less than 90 degrees. All the sides are equal.

In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute.

We can match like this

Angle measures : 38 degrees, 38 degrees  and 104 degrees

Side lengths :  8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

Acute equilateral triangle

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Answer:

Sarah downloaded 65 songs.