Mathematics College

write an equation of the line below.

Answers

Answer 1

Answer:

y = (1/2)x + 2

Step-by-step explanation:

Go from point (-2,1) to (0, 2).

Start at point (-2, 1). First, go up 1 unit. That is a rise of 1.

Now go 2 units right. That is a run of 2.

slope = rise/run = 1/2 = m

The graph intersects the y-axis at 2, so the y-intercept = b= 2.

y = mx + b

y = (1/2)x + 2

Related Questions

LM is 3x, MN is 2x+2. M is the midpoint of LN. What is LM?

Answers

Answer:

1/2

Step-by-step explanation:

3x=(1/2)(2x+2)

3x=x+1

3x-x=x-x+1

2x=1

x=1/2

For positive acute angles A and B, it is known that sin A = 8/17 and cos B = 24/25
Find the value of sin(A + B) in simplest form.

Answers

Answer:

Step-by-step explanation:

Here we use the SUM FORMULA: sin(a + b) = sin a cos b + cos a sin b

sin(A + B) = sin A*cos B + cos A*sin B. We are not given cos A or sin B and so must find them using the Pythagorean Theorem x^2 + y^2 = z^2.

Looking at sin A = 8/17, we see that the "opposite side" is 8 and the "hypotenuse" is 17. Then (adjacent side) = √(17² - 8²) = 15; that is, the side adjacent to Angle A is 15. Thus, cos A = 15/17 and sin A = 8/17.

We find sin B similarly. cos B = (side adjacent to B)/25 = 24/25. Therefore the side opposite B is √(25² - 24²) = 7. Thus, sin B = 7/25 and cos B = 24/25.

Then sin (A + B) = sin A*cos B + cos A*sin B

= (8/17)*(24/25) + (15/17)(7/25)

Here there are two products of fractions. This product (above) can be rewritten as

8(24) + 15(7) (3)(64) + (3)(5)(7)

= sin A*cos B + cos A*sin B = --------------------------- = --------------------------

17(25) 17(25)

4. Find PQ
N
Р
5x + 16
S
R.
9x - 32
Q

Answers

Answer on= 12

Step-by-step explanation:

The value of PQ in rhombus NPQR is 76 units.

The figure above is a rhombus.

Properties of a rhombus:All the sides are equal opposite angles are equalThe diagonal are perpendicular bisector of each other.

Therefore,

PQ = NR = NP = RQ

5x + 16 = 9x - 32

5x - 9x = -32 - 16

-4x = -48

x = -48 / -4

x = 12

PQ = 5(12) + 16 = 60 + 16 = 76 units

learn more on rhombus here: https://brainly.com/question/25278931?referrer=searchResults

Find the sum of these

Answers

Step-by-step explanation:

5x² - 8x + 2 + x² - 6x +3

= 6x²- 14x + 5

Pls help need help with answer b

Answers

Answer:

Field hockey has a higher variation of heights.

There is more of a difference between the different heights in field hockey.

Find the value of x in the triangle shown below 8 10

Answers

Answer:

x = 6

Step-by-step explanation:

pythagorean theorem

a^2 = c^2 - b^2

a^2 = 10^2 - 8^2

a^2 = 100 - 64

a^2 = 36

sqrt a^2 = sqrt 36

a = 6

CHECK:

6^2 + 8^2 = 10^2

36 + 64 = 100

yes.

true or false
1) m<1=50 degrees
2) m<2=130 degrees
3) y=26 degrees
4) x=4 degrees
5) m<1+m<3=180 degrees

Answers

Answer:

1. true

2. false

3. false

4. false

5. false

Step-by-step explanation:

the percent of the principal that is earned in return for loaning the bank the funds?
a. compound interest
b. simple interest
c. interest rate
d. principal

Answers

Answer:

Step-by-step explanation:

If gas costs $2.19 per gallon, how many whole gallons of gas could you buy with $17.00? (Make sure to answer with a whole number.)

Answers

With $17.00, you can buy approximately 8 whole gallons of gas.

To calculate the number of whole gallons of gas that can be bought with $17.00, we need to divide the total amount of money by the cost per gallon.

Given that the cost of gas is $2.19 per gallon, we can set up the following equation:

Number of gallons = Total money / Cost per gallon

Substituting the values into the equation, we have:

Number of gallons = $17.00 / $2.19

Performing the division, we get:

Number of gallons ≈ 7.7625570776255707762557077626

Since we are asked to provide a whole number, we round the decimal to the nearest whole number:

Number of gallons ≈ 8

It's important to note that this calculation assumes that the cost per gallon remains constant, and any taxes or additional fees are not taken into account. Additionally, the actual number of gallons that can be purchased may vary depending on the specific pricing and location.

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What is the area of the square pictured here?
2 in.
2 in.

Answers

Answer:

4in

Step-by-step explanation:

To find area, you must multiply the given measurement.

2x2=4

Area= 4in

Answer: 4 in
Hope this helps:)

What are the next 4 multiples of 4/8 in a fraction

Answers

Answer:

8/16, 12/24, 16/32, and 20/45

Step-by-step explanation:

What is the percent difference between comedy and
action?
a) 22%
b) 5%
c) 13%
d) 10%
5

Answers

Answer: 22%

Step-by-step explanation:

The answer to this should be 22

NEED HELP I WILL MARK BRAINLIEST PLZ HELP

Answers

First. Let’s find the radius. The diameter of the circle is 6in. Radius equals to half of the diameter. That means r=6/2=3in
Now if we find the area of circle, we have to multiply the quadratic of the radius by pi.
A=(3in)^2*3.14=9*3.14=28.26in^2
Now we can find the volume by multiply the area and the height.
V=28.26*8=226.08in^3
Now if we find the cube volume
V=a*b*h=15*9*9=1215in^3
V(toral)=226.08+1215=1441.08in^3
I hope this helped :)

Determine if the representation below is an example of a function or not a function (1,3), (3,3), (4,5), (6,5), (7,7), (9,7)

Answers

Answer:

Yes.

Step-by-step explanation:

No x value is used twice.

how can I subtract 9 2/5 - 8 4/5

Answers

Answer:

0.6

Step-by-step explanation:

First make them into decimals so.

9.4 - 8.8 = 0.6

Step-by-step explanation:

okay so let's convert this from mixed to improper fraction

9 2/5= 47/5

8 4/5= 44/5

47/5-44/5= 3/5

The graph of a function is shown on the coordinate plane below.

Which statement correctly describes the function on a given interval?

Answers

Answer: D

Step-by-step explanation:

I did it

The statement that correctly describes the function is:

The function is decreasing and nonlinear from x = 4 to x = 11.

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

We see that,

The function is increasing and nonlinear from x = -7 to x = -4.

The function is constant and linear from x = -4 to x = 1.

The function is increasing and nonlinear from x = 1 to x = 4.

The function is decreasing and nonlinear from x = 4 to x = 11.

Thus,

The function is decreasing and nonlinear from x = 4 to x = 11.

Learn more about functions here:

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SOMEONE PLEASE HELP ME

There are 72 items on Ginny's bookshelf. of the items are hardcover books, 3 Imtia of the items are softcover books. 9 • The remaining items are DVDs. How many DVDs are on Ginny's shelf?

Answers

Answer:

There are 60 dvds.

Step-by-step explanation:

72 - 3 - 9 = 60

Class intervals in a grouped frequency distribution are given as 4−11, 12−19, 20−27, 28−35, 36−43. Write the next two class intervals.
i) what is the each class interval?
ii) write the class boundaries of all classes?
iii) what are the class marks of each class?

Answers

Answer:

{44-55}{52- 59 } are the last two interval s

Step-by-step explanation:

To get the class boundaries deduct 0.5 from the first number and add 0.5 to the second number = 4-0.5 = 3.5 = 11.5 + 0.5 = 11.5 = 3.5 -11.5 as in the fish class boundary .same for all other boundaries

Sara uses 9.3 pints of white paint and blue paint to paint her bedroom walls.
3/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?

Answers

Answer:2.65

Step-by-step explanation:

The answer is 2.65

Please Help!, Brainliest to whoever helps

Answers

B for sure!!!!!!!!!!!!!!!!!!!

which of the following is a example of a proportional relationship
*photo is down there
show proof for brainliest

Answers

Answer:

The third one

Step-by-step explanation:

You multiply x by 6 to get y. 1x6=6, 2x6=12, 3x6=18.

Courtney made a 5.5 foot ramp
to help her dog get in her minivan.
If the back of her van is 3 feet
from the ground, what will be the
angle of elevation from the base of
the ramp to the van?

Answers

9514 1404 393

Answer:

33°

Step-by-step explanation:

We assume the 5.5 foot measurement is the length of the ramp surface. It will be the hypotenuse of a right triangle with the 3 ft side opposite the angle of interest. The applicable relationship is ...

Sin = Opposite/Hypotenuse

sin(angle) = (3 ft)/(5.5 ft)

angle = arcsin(3/5.5) ≈ 33.0°

The angle of elevation of the ramp is about 33°.

One bar of candy A and two bars of candy B
have 767 calories. Two bars of candy A and
one bar of candy B contain 775 calories. Find
the caloric content of each candy bar.

Answers

I'm not 100% sure, but imma have a go.

Answer:

a = 261; b = 253

Step-by-step explanation:

label candy bar A as a

label candy bar B as b

Make 2 equations.

2b + a = 767 (1)

b + 2a = 775 (2)

Solve for a in (1)

2b + a = 767 (-2b)

a = -2b + 767

Substitute for into (2)

b + 2( -2b + 767 ) = 775 (flip)

2( -2b + 767 ) + b = 775 (solve)

−4b + 1534 + b = 775 (add b)

-3b + 1534 = 775 (subtract 1534 from both sides)

−3b = −759 (divide both sides by 3)

b = 253

Substitute b into (1)

a = -2b + 767 (substitute)

a = -2 (253) + 767 (solve)

a = -506 + 767 (add)

a = 261

A box of chocolates was shared evenly between 5 people. Each person received 4 chocolates.
How many chocolates were in the box?

Answers

Answer:

Step-by-step explanation:

5x4=20

plz give me a thx! IF I HELPED :)

write an exponential formula of the form f (t)= a×b^t to represent the following situation. assume t is in years. The beginning population is 27, 000, decreasing by 3.5% annually. f(t)=__________

Answers

Answer:

[tex]f(t)= 27000 * 0.965^t[/tex]

Step-by-step explanation:

Given

[tex]a = 27000[/tex] -- initial

[tex]r = 3.5\%[/tex]

Required

The exponential equation

The exponential equation is

[tex]y =ab^t[/tex]

Where

[tex]b=1 -r[/tex]

We used minus, because the rate decreases..

So, we have:

[tex]b=1 -3.5\%[/tex]

[tex]b=1 -0.035[/tex]

[tex]b=0.965[/tex]

So:

[tex]y =ab^t[/tex]

[tex]y = 27000 * 0.965^t[/tex]

Hence:

[tex]f(t)= 27000 * 0.965^t[/tex]

What does not contribute to the destruction of the rainforest in Brazil? farming and ranching cutting down trees to sell the wood constructing a highway having heavy rains

Answers

Answer:

heavy rains

Step-by-step explanation:

it makes the forest grow!!1!!1!!!!11111!1!!

What is the value of 6
364
484
1.365
1.456

Answers

Answer:

I think it is C

Step-by-step explanation:

If I'm wrong try B

Evaluate the following for f(x) = 3(2)^x

1. f (2) =

2. f (-1) =

3. f (10) =

Answers

Answer:

1. f (2) = 3 x 2^x-1

2. f (-1) = -3 x 2^x

3. f (10) = 3 x 2^x/10

Step-by-step explanation:

Jeremiah wants to send some of his shirts to a dry cleaner. he usually takes his clothes to Spot-Less Dry cleaners, where he pays $4.50 per shirt. He sees a sign at No Mess or Stress Dry Cleaners that says it's $21.00 to have 4 shirts cleaned. Which is the better deal?

Answers

answer:spot-less

Step-by-step explanation:

21.00 divided by 4 is 5.25 so you'd be payingmore at "no mess or stress dry"

What is the Area of the right angle

Answers

Answer:

141.96

Step-by-step explanation:

The area or solution for the area of a triangle is base* height divided by 2 so what I did was 31.2cm as the base and 9.1 as the height and I multiplied them together and then I divided by 2! Hope this helped!

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