A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer:

My answer is Yes

Step-by-step explanation:

Answer:

B... all real numbers :)

Answer:

f(x) = -5/9x - 11/9

Step-by-step explanation:

Consider f(x) = y

so if x = -4 => y = 1 and x = 5 => y = -4

so (-4,1) and (5,-4) should be on the same linear equation

Slope m = (y2 - y1)/(x2 - x1)

m = (-4 - 1)/(5 -  -4) = (-5)/(9) = -5/9

y = mx + b

given m = -5/9, x = -4, y = 1

1 = -5/9(-4) + b

b = 1 - 20/9

b = 9/9 - 20/9 = -11/9

so y = -5/9x - 11/9

or f(x) = -5/9x - 11/9

Answer:

24

Step-by-step explanation:

Because of similar triangles,

UV/UG = UW/UH

132/24 = 132/UH

UH = 24

Answer:

24

Step-by-step explanation:

GU.U.V=HU. UW

24×132=HU×132

3168=132HU

HU=24

Answer:84

Step-by-step explanation:

Answer:

84 hamburgers were sold

Answer:yes

Step-by-step explanation:

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

The statement is False.

If the equation of the regression line that relates hours per week spent in the lab, x, to GPA, y, is

y = 2.1 + 0.28x

If a student never goes to the lab (x=0), then the best prediction for their GPA would be y = 2.1 + 0.28*0 = 2.1.

A collection of statistical techniques known as regression analysis is used to estimate the associations between a dependent variable and one or more independent variables. It may be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.

The relationship between dispersed data points in any collection is shown by a regression line. When there is a linear pattern, it displays the relationship between the dependent y variable and independent x variables.

To learn more about regression line,

visit; brainly.com/question/7656407

#SPJ4

Answer:

Step-by-step explanation:

Name the types of congruence in triangles.

Side Side Side (SSS)

The three sides of one triangle are respectively equal to the three sides of the other triangle.

Side Angle Side (SAS)

Two sides and the included angle of one triangle are respectively equal to two sides and the included angle of the other triangle.

Angle Angle Side (AAS)

Two angles and one side of one triangle are respectively equal to two angles and the matching side of the other triangle.

Right angle Hypotenuse Side (RHS)

The hypotenuse and one side of one right‐angled triangle are respectively equal to the hypotenuse and one side of the other right‐angled triangle.

Answer:

Heyy

Step-by-step explanation:

Different rules of congruency are as follows.

Answer:

Domain: -5,6,2,1,-3

Range: 13,18,-7,4,-1

Step-by-step explanation:

Domain is the independent value/ x / input

Range is the dependent value/ y / output

Answer:

38inches

Step-by-step explanation:

Perimeter = side+side+side+side+side+side

P = 5+9+2+5+13+4

P = 38inches

The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;

They can be;

supplementary

alternate exterior

alternate interior

vertically opposite

and corresponding

The property between angle 3 and angle 6 is that they are alternate interior to each other.

Therefore angle 3 and angle 6 are alternate interior angles.

learn more about angle on parallel lines from

https://brainly.com/question/24607467

#SPJ1

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

For more questions on trigonometric form

https://brainly.com/question/31744474

#SPJ8

Answer: See the attached image

You have the correct idea for the boxes you've filled out. For the first three boxes in column 1, I would be specific which segments you are dividing. So for instance, in the first box, it would be EG/EB = 55/11 = 5. Then the second box would be EF/EC = 35/7 = 5, and so on. The order of the boxes doesn't matter. The three boxes then combine together to help show that the triangles are similar. Specifically \(\triangle EFG \sim \triangle ECB\). The order of the letters is important to help show how the angles pair up and how the sides pair up. We use the SSS similarity theorem here.

The second problem is the same idea, but we use one pair of congruent angles. So we'll use the SAS similarity theorem this time.

Step-by-step explanation:

Q1.

1. 3×1+2=5

=5/3

2. 3×5+3=18

=18/5

3. 8×4+3=35

=35/4

4. 12×3+2=38

=38/3

5. 10×7+2=72

=72/7

Q2.

1. 1/7 = 7/1 = 7

2. 8/3 = 3/8

3. 9 = 1/9

4. 4 1/3 = 4×3+1 = 13 = 13/3 = 3/13

5.14 2/3 = 14×3+2 = 44 = 44/3 = 3/44

Hope this helps you

Answer:

For A)

when you go from mixed number to improper fraction all you have to do is multiply the denominator (bottom number) with the whole number (the big number on the left) then finally add the numerator (on the top). After you get the answer just write the answer divided the denominator (answer/denominator) to write as improper fraction. Examples is shown below.

For B) all you have to do is switch the fraction. If it a whole number then just assume that it is divided by 1, and for mixed fraction just solve it like A then switch the fraction. Examples shown below.

Step-by-step explanation:

For A)

1. 1 (2/3) -> multiply 3 with 1 then add the 2. So, (3 x 1) +2 = 5 then write as improper fraction which is 5/3

2. 3 (3/5) -> (5 x 3) + 3 = 18 -> 18/3

and so on...

For B)

1. 3/7 -> 7/3

3. 9 which is 9/1 -> 1/9

5. 14 (1/3) -> (3 x 14) + 1 = 43 -> 43/3 -> 3/34

Answer:

14/5 or

2.8 or

2 4/5

Step-by-step explanation:

Math

Answer:

2.8 or 14/5

keep change change

2×7=14

5×1=5

Step-by-step explanation:

Answer:

The answer is 24. First 1128 - 72 equals 1056 then divide by 43 which equals 24.55 but u cant buy 24.55 VD so its just 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 + 2x + 1 = 2x + 3

2x + 4 = 2x + 3

4 ≠ 3

no solution

The graph for the first is line segment joining (x, y) = (−2,−4)and (2, 4), sans the end points. The second part is the line through (-2, -6) and (-3, -9), from (-2, -6), excepting (-2, -6). ..

Step-by-step explanation: you are using y for the piecewise function.

Answer:

the slope is 3/2

Step-by-step explanation:

Answer:

\(\frac32\)

Step-by-step explanation:

Hello!

We can solve for the slope using the formula \(\frac{Rise}{Run}\).

We need two points that belong on this line to find the slope. The two points I'm picking are (-1,-1) and (1,2).

Plugging it into the formula, we get a slope of  \(\frac32\).

Answer:

x=4 and y=3

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Multiply 2.4*10-4

Calculate 24-4

the answer is (12x^10000)/5

The equation

d = 5h

relates time (h) in hours and the accumulated snow (d) in centimeters.

Replacing with d = 1, and solving for h, we get:

1 = 5h

1/5 = h

0.2 = h

It takes 0.2 hours for 1 cm of snow to accumulate in the yard

Replacing with h = 1, and solving for d, we get:

d = 5(1)

d = 5

5 centimeters of snow accumulate per hour

They marked it up to 2979 since 993*3(aka 200%). You then multiply 2979 by 1.14 to get the total of $3396.06

Answer:

$3396.06

Step-by-step explanation:

Markup is what a store adds to the price they paid in order to come up with a selling price.

store selling price = cost to store + markup

Store purchase price: $993

Store markup of 200%: 200% of $993 = 2 × $993 = $1986

Store selling price: $993 + $1986 = $2979

14% tax: 14% of $2979 = 0.14 × $2979 = $417.06

Total selling price including markup & sales tax: $2979 + $417.06 = $3396.06

Answer: $3396.06

K. 48-24=24

I. 48+24=72×2= (144) so 144

An equation is formed of two equal expressions. The total number of marbles that Ivan had at the first is 40.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of marbles with Katherine be represented by k, while the number of marbles with Ivan is represented by x.

Given that the total number of marbles available with Katherine and Ivan is 96. Therefore, we can write,

k + x = 96

Solving the equation for k,

k = 96 - x

Further, Katherine lost 24 marbles to Ivan during a game and at the end of the game, Ivan had twice as many marbles as Katherine. Therefore, we can write the equation as,

2(k - 24) = (x + 24)

2k - 48 = x + 24

Substituting the value of k,

2(96 - x) - 48 = x + 24

192 - 2x - 48 = x + 24

192 - 48 - 24 = x + 2x

3x = 120

x = 120/3

x = 40

Hence, the total number of marbles that Ivan had at the first is 40.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ5

Answer:

The answer to your problem is, 27

Step-by-step explanation:

Given that in the figure, triangles GHI and MHL are similar to each other. We are to find the value of 'x'.

Also, given that

GH = 18, HI = 16, HL = 24 and HM =x.

Since the given triangles are very much similar, their corresponding sides are going to be proportional.

Which concludes to be:

\(\frac{GH}{HM} = \frac{HI}{HL} = \frac{GI}{ML}\)

Now we have,

\(\frac{18}{x} = \frac{16}{24}\)

x = \(\frac{18 * 24}{16}\) ( * = Multiply )

x = 27

Thus the answer to your problem is, 27

The final answer after subtraction is - 6x² + x - 18.

What is quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

What is subtraction?

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −.

Given,

(8x2 - 16x - 9) - (14x² - 17x + 9)

Subtract

= 8x² - 16x - 9 - 14x² + 17x + 9)

= 8x² - 16x - 9 - 14x² + 17x - 9

= - 6x² + x - 18

To know more about subtraction, visit:

https://brainly.com/question/191430

#SPJ13

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

x=11.333333

Step-by-step explanation:

1.5+.75x=10

subtract 1.5 from both sides.

1.5+.75x-1.5=10-1.5

.75x=8.5

divide .75 on both sides

.75x.75=x

8.5/.75=11.333333