What is the equation in slope-intercept form of the line that passes through the points ( 2, 5) and (6, 8)?

y = 0.75x + 3

y = 0.75x + 3.5

y = 4x + 10

y = 4x - 36

Answer:

Step-by-step explanation:

Arianna will always be 3 years older than Javier no matter how old he gets.

The table is given below.

The equation that relates the age of Arianna y to the age of Javier x is

y = x + 3

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

We can use the given information to complete the table as follows:

Javier(x) Arianna (y)

2          5

3          6

8          11

20          23

Now,

The equation that relates the age of Arianna, y, to the age of Javier, x.

We have,

y = mx + b, where m is the slope and b is the y-intercept.

We can use the first two points (2, 5) and (3, 6) to find the slope.

m = (6 - 5)/(3 - 2)

m = 1

Now,

The y-intercept,

(2, 5) = (x, y)

y = mx + b

5 = 1(2) + b

b = 3

Therefore,

The equation that relates the age of Arianna y to the age of Javier x is

y = x + 3

Learn more about equation of a line here:

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Answer:

3

Step-by-step explanation:

Answer: 6 is C and 7 is a

Step-by-step explanation:

Answer:

6) b. 75

7) d. 62

Step-by-step explanation:

the sides of the box are the quartiles, and the dots at the end are the range of the data. the line in the middle of the box is the center of the data.

Answer:

(3x + 4)3

By using distributary property,

(3x × 3) + (3 × 4)

9x+12

Answer:

d

Step-by-step explanation:

Answer:

The length of the bold arc is approximately 13.4 mi

Step-by-step explanation:

The radius of the circle having the arc, r = 17 mi

Therefore, the circumference of the circle, 'C', is given as follows;

C = 2·π·r

∴ C = 2×π×17 = 34·π

The angle subtended by the arc = 45°

The sum of the angles at the center of the circle = 360°

By similarity, the ratio of the length of the bold arc to the circumference of the circle = The ratio of the angle subtended by the arc to the sum of the angles at the center of the circle

Mathematically, we have;

[tex]\dfrac{The \ arc \ length}{C} = \dfrac{\theta}{360^{\circ}}[/tex]

Therefore, we get;

[tex]\dfrac{The \ arc \ length}{34 \cdot \pi} = \dfrac{45 ^{\circ}}{360 ^{\circ}} = \dfrac{1}{8}[/tex]

[tex]{The \ arc \ length}{} = \dfrac{1}{8} \times 34 \cdot \pi = 4.25 \cdot \pi[/tex]

The length of the bold arc = 4.25·π mi ≈ 13.4 mi (by rounding off the answer to the nearest tenth).

Answer:

[tex]8 - 5xt - 13x[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex]8 - 5xt + ( - 8x - 5x)[/tex]

2) Simplify.

[tex]8 - 5xt - 13x[/tex]

Therefor the answer is 8 - 5xt - 13x.

Answer:

9^2 + x^2 = 12^2

x^2 = 144 - 81

x^2 = 63

x = √63 = 3√7 or 8

hope that answers your question

Answer:

9^2 + x^2 = 12^2

x^2 = 144 - 81

x^2 = 63

x = √63 = 3√7 or 8

hope that answers your question

Step-by-step explanation:

Answer:

=6y^3×2y^2-6y^3×8y+6y^3×2

=12y^2-48y^4+12y^3

Answer: 15 oatmeal cookies.

Step-by-step explanation:

There were 25 cookies baked.

Out of these, 3/5 are oatmeal cookies.

The amount of actual oatmeal cookies is:

= fraction of oatmeal cookies * total number of cookies

= 3/5 * 25

= 75 / 5

= 15 oatmeal cookies.

Answer:

Joe mama

Step-by-step explanation:

Answer:

[tex]Area = 56892in^2[/tex]

Step-by-step explanation:

Given

[tex]\triangle TUV[/tex]

[tex]t = 320in[/tex]

[tex]u = 360in[/tex]

[tex]\angle V = 81^\circ[/tex]

Required

Calculate the area

Given two sides and a middle angle, the area of a triangle is:

[tex]Area = \frac{1}{2}ab*sinC[/tex]

In this case, it is:

[tex]Area = \frac{1}{2}tu*sinV[/tex]

[tex]Area = \frac{1}{2}*320*360*sin(81)[/tex]

[tex]Area = \frac{1}{2}*320*360*0.9877[/tex]

[tex]Area = 56891.52[/tex]

[tex]Area = 56892in^2[/tex] --- approximated

Answer:

56000

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Answer:

A. 12 inches

Step-by-step explanation:

Set a proportion

20/27.5=x/27.5-11

27.5x/27.5=330/27.5

x=12

Answer:

y = 2/3x+4

Step-by-step explanation:

Answer:

−2

Step-by-step explanation:

−22−3+5

=−4−3+5

=−7+5

=−2

PLS BRAINLIEST

Answer:

Step-by-step explanation:

blue = ⅓×180 = 60

180-60 = 120 are not blue.

white = ⅙×120 = 20

120-20 = 100 are red

Answer:

The answer is √5+√3+10+2√15

Answer: [tex]\sqrt{5} + \sqrt{3} + 10 + 2\sqrt{15}[/tex]

Step-by-step explanation:

[tex]\frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} }[/tex]

You need to multiply by the conjugate

To find the conjugate, first remember:

(a+b)(a-b) = a^2 - b^2 (if a and b are sqrts, this will eliminate the square roots, rationalizing the denominator)

You have √5 - √3 as the denominator

You should multiply by √5 + √3

(This will eliminate the sqrts)

Remember to multiply both the numerator and denominator

[tex]\frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} } = \frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} } * \frac{\sqrt{5}+\sqrt{3} }{\sqrt{5}+\sqrt{3}}[/tex]

Now simplify

[tex]\frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} } * \frac{\sqrt{5}+\sqrt{3} }{\sqrt{5}+\sqrt{3}} = \frac{(2+4\sqrt{5})(\sqrt{5}+\sqrt{3})}{(\sqrt{5}-\sqrt{3})(\sqrt{5}+\sqrt{3})} = \frac{2\sqrt{5}+2\sqrt{3}+20+4\sqrt{15}}{5-3} = \sqrt{5} + \sqrt{3} + 10 + 2\sqrt{15}[/tex]

Answer:

(6,3)

Step-by-step explanation:

It will make a weird diamond shape.

Answer:

(6,3)

Step-by-step explanation:

A rhombus lis like a diamond shape so we know its going to be opposite if point B.

Point B is located 3 units above the invisible line that connects A and C.

Count down 3 units from that line and you will get your answer.

:)

Answer: The answer is 10^3.

Hope this help

Answer:

0.225989

Step-by-step explanation:

3x+9+x-11=180

4x-3=180

4x=180-3

4x/4x=177/4x

0.225989

Answer:

=78 degrees

Step-by-step explanation:

complementary angles add up to 90 degrees

A + B = 90

3x + 9 + x - 11 = 90

3x + x + 9 - 11 = 90

4x - 2 = 90

collect like valuables

4x = 90 + 2

4x = 92

x =23

angle A = 3x + 9

             = (3 x 23) + 9

             = 69 + 9

             = 78

Answer:

[tex] - \frac{2}{10} [/tex]

or

-0.2

Answer:

m = 4

Step-by-step explanation:

In order for this equation to be true, the angles must be complementary.

So, 18m- 12 + 7m + 2 = 90

25m - 10 = 90

25m = 100

m = 4

Answer:

tue

Step-by-step explanation:

Answer:

it 14 inch because 1 foot is 12 inches, and 14 inches is greater

Step-by-step explanation:

Answer:

Step-by-step explanation:

think its c

Answer:

$16

Step-by-step explanation:

9514 1404 393

Answer:

  16 m

Step-by-step explanation:

The useful trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(41°) = a/(25 m)

  a = (25 m)sin(41°) ≈ 16.40 m

The measure of side 'a' is about 16 meters.