The distance y (in centimeters) a spring is compressed by a force x (in kilograms) is given by
y = 0.065x.
Complete a table of values for
x = 20, 40, 60, 80, and 100
to determine the distance the spring is compressed for each of the specified forces.

9514 1404 393

Answer:

  a) y +2 = (4/3)(x -3)

  b) 4x -3y = 18

Step-by-step explanation:

a) The slope formula gives part of what is needed for point-slope form:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -(-2))/(6 -3) = 4/3

Point-slope form is ...

  y -k = m(x -h) . . . . . . for slope m and point (h, k)

Using the first point, we get ...

  y +2 = 4/3(x -3)

__

b) Multiplying by 3 and eliminating parentheses, we get ...

  3(y +2) = 4(x -3)

  3y +6 = 4x -12

Adding 12 -3y to both sides gives ...

  18 = 4x -3y

Putting this in the usual form, we have ...

  4x -3y = 18

Answer:

c=3.14d

c=3.14*8

c=25.12

25.12 cm

Answer:

6 and 10

Step-by-step explanation:

Let a = the first number(3/5 of the second number namely b)

Let b = the number that is 5/3 of a

a=3/5 b

Assuming they are both positive integers, obviously you will have to add 4 to a.

4+a = b

4 + 3/5 b = b

2/5 b = 4

b = 10

a=6

ONLY ASSUMING IF THEY ARE BOTH POSITIVE INTEGERS

Answer:

The 32-ounce box

Step-by-step explanation:

The 16-ounce box costs $3.20 for every 16 ounces, but the 32-ounce box costs $3.12 for every 16 ounces. That means the 32-ounce box is a better deal by 8 cents.

Answer:

the big box is a better buy

Step-by-step explanation:

we have

$3.20 for 16ounce

and notice 32 is duble of 16 so to be equal price will be

$6.40 for 32ounce

yet is not is

$6.24 for 32ounce so the big box is less expensive

Answer:

p= 11/4

Step-by-step explanation:

Answer:

[tex]d \approx 12.6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A (-4, 2)

Point B (8, 6)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Answer:

circumference

Step-by-step explanation:

Answer:

That’s interesting I would figure isn’t a function because the point of a function is to find the solution but if there is no solu then it has lost its purpose.

Answer:

x1= - 8/3 , x2= 8/3

Step-by-step explanation:

Answer:

1   5/7

Step-by-step explanation:

well lets show you!!

6/7 ÷ 1/2 = (Always flip the fraction on the right side) 6/7 x 2= 12/7 = 1   5/7

Hope this helps ∞<3

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 2x - 4

y = -x + 5

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

ummm there is no chart or multiple choice so imma go off a limb here and say  1/2 mile

hope this helps

sorry if its wrong i had no chart

Step-by-step explanation:

Answer:

2 miles

Step-by-step explanation:

he walks to to maple avenue to meet his friend is a mile,so to continue his walk on maple avenue to the park is another mile.

Here is the full question:

Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.

Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.

Which equation correctly use the value of x to represents the cosine of angle A?

cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answer:

cos(53°) = StartFraction y Over 5 EndFraction

Step-by-step explanation:

From the information above:

The sketch of the triangle is drawn and attached in the diagram below.

To find x using the sine rule,

We know that:

[tex]Sin \theta = \dfrac{opposite}{hypothenuse}[/tex]

∴

[tex]Sin (53^0) = \dfrac{4}{x}[/tex]

Making x the subject of the formula:

[tex]x = \dfrac{4}{Sin \ 53^0}[/tex]

[tex]x = \dfrac{4}{0.7986}[/tex]

[tex]x \simeq 5[/tex]

Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.

Recall that:

[tex]Cos \theta = \dfrac{adjacent}{hypothenuse}[/tex]

[tex]Cos \ 53^0 = \dfrac{y}{x}[/tex]

where; x = 5

[tex]Cos \ 53^0 = \dfrac{y}{5}[/tex]

Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:

cos(53°) = StartFraction y Over 5 EndFraction

Answer:

simple answer B

Step-by-step explanation:

Answer:

1/32 or in decimal form 0.313

Each dog will receive 1/32 pounds of dog treat.

Unitary method is first obtaining the value of a single unit then deriving the given unit from it by multiplying it.

Suppose in 1 hour a car can go 50 miles,So in 3 hours it will go to (3×50) = 150 miles.

According to the given question a pet store owner has a 1/2 -pound bag of dog treats that she divides evenly among 16 dogs.

∴ Each dog will receive (1/2)/16 pounds of dog treat which is

= 1/2×1/16 pounds of dog treat.

= 1/32 pounds of dog treat.

learn more about unitary method here :

https://brainly.com/question/23423168

#SPJ2

Answer:

Concept: Mathematical Representation

Answer:

y = 2x + 1

Step-by-step explanation:

formula for equation of graph:

[tex]y = mx + c[/tex]

substitute m = 2 and c = 1 into the equation

[tex]y = 2x + 1[/tex]

Step-by-step explanation:

please see it my step work solution

Answer:

y = 7x + 1

Step-by-step explanation:

This is the most viable option because m=7/1 and the y intercept is y=1

1/3 because the slope triangle goes over three and up one and it is rise over run.

Answer:

1/3

Step-by-step explanation:

rise over run- the line goes up one and over three everytime it perfectly intersects a sport on the graph

Answer:

or lazy haha

4. 3 [tex]\frac{1}{5}[/tex]

5. 17.5

6. -[tex]\frac{2}{5}[/tex]

7. 50

Hope I Helped

Answer:

3x+30=4x-8

-x=-38

x=38

Final Answer: [tex]x = 38[/tex]

Steps/Reasons/Explanation:

Question: What is the value of x in the equation [tex]3(x + 10) = 4(x - 2)[/tex]?

Step 1: Expand.

[tex]3x + 30 = 4x - 8[/tex]

Step 2: Subtract [tex]3x[/tex] from both sides.

[tex]30 = 4x - 8 - 3x[/tex]

Step 3: Simplify [tex]4x - 8 - 3x[/tex] to [tex]x - 8[/tex].

[tex]30 = x - 8[/tex]

Step 4: Add [tex]8[/tex] to both sides.

[tex]30 + 8 = x[/tex]

Step 5: Simplify [tex]30 + 8[/tex] to [tex]38[/tex].

[tex]38 = x[/tex]

Step 6: Switch sides.

[tex]x = 38[/tex]

~I hope I helped you :)~

Answer:

B = 70

Step-by-step explanation:

Answer:70

Step-by-step explanation:

Answer:

A.2.4 pounds

B.7 oranges

Step-by-step explanation:

Answer:

C, "The small crowd of protesters had turned into an angry mob".

Step-by-step explanation:

A and B are 1st person point of view because of "we" and "our". D is 2nd person point of view because of "your".

Answer:

c. The small crowd of protesters had turned into an angry mob.

Point of view is a way the voice sounds.

1st person uses: I, we, she, he, her, my. (it sounds like you are in their head.)

2nd person uses: you, your. (it sounds like the narrator is talking directly to you.)

3rd person uses: they, them he, her. (it sounds like someone is watching the story happening and is telling it from an outside point of view.

1st: My friends and I can't wait until Christmas.

2nd: You and your friends can't wait until Christmas.

3rd: Macy and her friends can't wait until Christmas.

Answer:

y = -x + 9

Step-by-step explanation:

The line that passes through the points (-2,4) and (0,6) has a slope of 1, and a y intercept of 6. The equation to the first line is y = x + 6. and perpendicular lines always have the opposite, reciprocal slope of the other line. So the slope for the second line would be -1. A line with the slope of -1 and a point of (5,4) would contain the points (5,4) , (4,5) , (3,6) , (2,7) , (1,8) , and (0,9) , which is the y intercept for the second line. So the equation for the second line would be y = -x + 9

Answer:

-2x^3 - 3x^2 -8x + 4 should be added

Step-by-step explanation:

Here, we want to know what should be added to the expression to get 0

What we should do in this case is to simply negate the values we have in the expression already

Adding the negated values will give 0

So, we have that;

-2x^3 - 3x^2 -8x + 4

Answer:

Combine Like Terms:

=1728+−9x^2+−4x+3

=(−9x^2)+(−4x)+(1728+3)

= −9x^2+−4x+1731

Answer:

As one of the zeros of polynomial is 0, then (x-0) =x is a factor of given polynomial.

Since x is a factor , d= 0

ax^3+bx^2+cx+d = ax^3+bx^2+cx

= x(ax^2+bx+c)

Other two roots are roots of

ax^2+bx+c = 0

For a quadratic equation ax^2+bx+c = 0

Product of roots = c/a

Sum of roots = -b/a

So

Product of other two roots = c/a

Hope this helps :D