Which situations can be modeled by a linear function?

Answer:

DB = 20 cm

Step-by-step explanation:

Given:

║AB = 12 cm (represented by 'a' leg)

║AD = 16 cm (represented by 'b' leg)

║DB =  x cm (hypotenuse represented by 'c' leg)

These formulas are used to solve for a missing side length:

║a = [tex]\sqrt{(c^2 - b^2)}[/tex]

║b = [tex]\sqrt{(c^2 - a^2)}[/tex]

║c = [tex]\sqrt{(a^2 + b^2)}[/tex]

Because we are solving for side length c, we will be using the third formula.

║c = [tex]\sqrt{(a^2 + b^2)}[/tex]

║c = [tex]\sqrt{(12^2 + 16^2)}[/tex]

║c = [tex]\sqrt{(144 + 256)}[/tex]

║c = [tex]\sqrt{400}[/tex]

║c = 20

Therefore, the value for side length DB should be:

║DB = 20 cm

"A processing machine crushes 3 1/4 kilograms of dried fruits in 3/4 minutes.

What is the rate, in kilograms per minute, at which the machine crushes dried fruits?"

All you're doing here is finding the unit rate at which the machines crushes the fruit. This boils down to dividing the amount it can crush (3 + 1/4 kg) by the time it takes to do the crushing (3/4 min):

(3 + 1/4 kg) / (3/4 min)

We can omit the units, just remember everything is measured in kilograms per minute. So we want to simplify the expression,

(3 + 1/4) / (3/4)

Write the numerator as an improper fraction:

3 + 1/4 = 12/4 + 1/4 = 13/4

(since 12 = 3*4)

Then

(3 + 1/4) / (3/4) = (13/4) / (3/4)

Multiply this by 1 = 4/4. In other words, multiply both the numerator and denominator by 4. This eliminates the fractions in either part, and you get the answer:

(13/4) / (3/4) * 4/4 = (13/4 * 4) / (3/4 * 4) = 13/3

So in one minute, the machine can crush 13/3 kg ≈ 4.333 kg of dried fruit.

Answer:

y=x+12-10

Step-by-step explanation:

0=x+12-10

-x=2

x=-2

Answer: 5 cm

Step-by-step explanation:

since the last step in finding area of a triangle is divide by 2, multiply the area by 2 to get the original number

30 x 2 = 60

area/base = height

60/12 = 5

Answer:

I would say the first one

Step-by-step explanation:

The others don't make any sense, and that is the only one that mentions 2 x and 5 1s.

Answer:

number 4

Step-by-step explanation:

count onn me

Answer:

10 cm

Step-by-step explanation:

the can is shaped like a cylinder

first step is to find the radius and then multiply the figure by 2

volume of a cylinder = nr^2h

n = 22/7

r = radius

903 = 11.5 x r^2 x 3.14

r^2 = 903 / (3.14 x 11.5)

r = 5 cm

diameter = 10cm

Answer:

Z' = (6, 3 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

Z (3, 6 ) → Z' (6, 3 )

Answer:

18.65 cm

Step-by-step explanation:

the surface area of a cylinder is the combination of the two circles (1 at the top, 1 at the bottom) and the area of the side wall or "mantle".

so, two equally sized circle areas and the side area.

this side area is nothing else than a rectangle that is bent around and connected to the circumference of both circles. therefore, the side lengths of this rectangle must be the cylinder height and the length of the circumference of the circles.

that is also why we need the cylinder height to get its surface area (and also volume by the way).

circle area : pi × r²

rectangle area : length × width

cylinder surface area = 2 circle areas + side rectangle area

=> 1800 = 2 × (pi×r²) + (2×pi×r)×h = 2×pi×100 + 2×pi×10×h

=> 1800 = 200×pi + 20×pi×h

=> (1800 - 200×pi) = 20×pi×h

=> (1800 - 200×pi) / (20×pi) = h = 18.65 cm

Answer:

x=10.21463052 y=  8.755647273

Step-by-step explanation:

i suggest u round.

Answer:

16

Step-by-step explanation:

add

Answer:

1/4

Step-by-step explanation:

Answer:

y - 9 = -8(x + 2)

Step-by-step explanation:

What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)

Step 1

y intercept =

y = mx + b

y=-8x - 5

m = -8, b = -5

Point slope form

y - y1 =m( x - x1)

We are given coordinates:

j(-2, 9) = (x1, y1) where ,

x1 = -2

y1 = 9

Hence, our point slope form equation is:

y - 9 = -8(x -(-2))

y - 9 = -8(x + 2)

Answer:

220

Step-by-step explanation:

Answer:

The ratio of student to teacher is 12.3 to 1

Answer:

It is y=2x+4.

Step-by-step explanation:

Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.

The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).

Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).

From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.

With this, we can plug in the parts we need to get the final answer:

y = (2 Slope) x + (4 Y-Intercept)

y=2x+4

Answer:

[tex]y=2x+4[/tex]

Step-by-step explanation:

Written in the form [tex]y=mx+c[/tex]

The constant c is where the line intercepts the y-axis.

From the graph we can determine that c is equal to 4.

m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.

From the graph we can pick out 2 points that lie on the line:

Point 1 (0,4)

Point 2 (1,6)

So the slope is [tex]\frac{4-6}{0-1} =\frac{-2}{-1}=2[/tex]

Now let's rewrite it in the form [tex]y=mx+c[/tex].

[tex]y=2x+4[/tex]

Answer:

m=0.9

Step-by-step explanation:

Answer: Wrong formula, forgot to input the radius instead

Step-by-step explanation:

Formula is pie times radius^2

Find radius by dividing the diameter by half then multiplying it by pi (3.14)

Answer:

What is the question to this?

Answer:

102.9

Step-by-step explanation:

Area of a triangle is A=(1/2)(h)(b) where h is the height and b is the base.

7.35 is the height and 28 is the base

A=(1/2)(7.35)(28)

A=102.9

Answer:

24 full weeks needed

Step-by-step explanation:

30 + 3x = 100

3x = 70

x = 23.333

24 weeks needed

Answer:

a. n (table)     : 1  2  3  4  5  6

  s (students):4  6  8 10 12 14

b. Arithmetric, since it is adding and corresponding with the numbers

d. 32

not sure about c though. hope this helped.

Answer:

a) 0

b)2

Step-by-step explanation:

a) Basically, the question is asking what the x value is when the y value is at 4, which would be 0.

b) Same thing here, but with the x value is when the y value is -2.

Answer:

2 2/3

Step-by-step explanation:

4 × 2/3

4/1 × 2/3

8/3

2 2/3

The answer is 2 2/3.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

4 containers of blueberries to make blueberry muffins, each container holds 2/3 cup,

she also used 1 2/4 cups of sugar to make the blueberry muffins and 1 1/4 cups of sugar to make banana bread

now, we get,

4 × 2/3

=4/1 × 2/3

=8/3

=2 2/3

hence, The answer is 2 2/3.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Answer: 10 mph

Step-by-step explanation:

Answer:

[tex] \sqrt{25 \times 3 \times 27} [/tex]

[tex] \sqrt{5²×9²} [/tex]=±[5×9]=±45

Step-by-step explanation:

hope it is helpful to you (｡◕‿◕｡)➜(｡◕‿◕｡)➜

9514 1404 393

Answer:

  C.  26

Step-by-step explanation:

The two marked angles are "vertical angles." They are congruent.

  x +20 = 3x +8 . . . . . congruent angles have the same measure

  12 = 2x . . . . . . . . . subtract x+8 from both sides

  6 = x . . . . . . . . . divide by 2

  ∠PTQ = (x+20)° = (6+20)° = 26°

Answer:

Solutions given:

we have

<RTS=PTQ[vertically opposite angle are equal]

so

3x+8=x+20°

3x-x=20-8

2x=12

x=12/2=6

x=6

m<PTQ=6+20=26°

option c.26.

Answer:

52

Step-by-step explanation:

Answer:

idrk i'm just going to take ur points because my other account got banned for 24 hrs like bru.h ig :/

Step-by-step explanation: