The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = y minus 4 equals StartFraction one-fourth EndFraction left-parenthesis x minus 9 right-parenthesis.(x – 8). What is the slope-intercept form of the equation for this line?

y = y equals StartFraction one-fourth EndFraction x minus 12.x – 12
y = y equals StartFraction one-fourth EndFraction x minus 4.x – 4
y = y equals StartFraction one-fourth EndFraction x plus 2.x + 2
y = y equals StartFraction one-fourth EndFraction x plus 6.x + 6

Answer:

Function 2

Step-by-step explanation:

slope of Function 1 is 5/8

slope of Function 2 is 3/4, or 6/8

Answer:

area of shaded portion of figure = 76.24 cm²

Step-by-step explanation:

find the area of the circle, a 60° segment of the circle, and an equilateral triangle with sides of 5 cm:

area of circle = πr² = (3.14)(5²) = 78.5 cm²

area of 60° segment of circle = 78.5/6 = 13.08 cm²

area of triangle = 1/2(4.33)(5) = 10.82 cm²

The shaded area will be:

full circle area - (60° segment - triangle) = 78.5 - 13.08 + 10.82 = 76.24 cm²

Answer:

Aiden would have $67 more than Autumn.

Step-by-step explanation:

Aiden compounded continuously, which uses the formula: [tex]P(t)=P_oe^r^t[/tex]

Plugging in what we know about Aiden's investment: [tex]P(11)=98000e^0^.^0^2^*^1^1[/tex]

That gives us: 122115.5196

Autumn invested using regular compound interest, which has the formula: [tex]A=P(1+\frac{r}{t})^n^t[/tex]

Since Autumn's investment is getting compounded quarterly, n=4 because it gets compounded 4 times a year.

Plug in Autumn's investment: [tex]A=98000(1+\frac{0.02}{4})^4^*^1^1[/tex]

That gives us: 122048.5974

Now just subtract the two and round to the nearest dollar:

[tex]122115.5196-122048.5974=66.92215187[/tex]

OR

$67. Aiden would have $67 more than Autumn after 11 years.

Answer:

72

Step-by-step explanation:

360/5 = 72

The angle of the rotation will be 72°. Then the correct option is B.

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Rotation does not change the size and shape of the geometry. But change the orientation of the image.

The pentagon is shown.

The angle of rotation of the pentagon such that the pentagon will remain in the same position.

Then the angle of the rotation is given as,

⇒ 360° / n

Where n be the number of the sides of the polygon.

In pentagon, the number of the sides will be 5.

Then the angle of the rotation will be

⇒ 360° / 5

⇒ 72°

Thus, the angle of the rotation will be 72°

Then the correct option is B.

More about the transformation of geometry link is given below.

https://brainly.com/question/22532832

#SPJ5

Answer:

Inclined plane= 1st option

Wheel and axle= 2nd option

Wedge= 5th option

Pulley= 3rd option

Lever= 4th option

Answer:

The answer is 2/7.

Step-by-step explanation:

If you flip a coin 7 times then 7 is the denominator, which stands for the total amount of times you flipped the coin. The numerator is 2, which is the amount of times you land on the same thing, in this case, landing on tails.

Hope this helps!

-Luna

Answer:

85

Step-by-step explanation:

Answer:

$448.76

$73.76

Step-by-step explanation:

We are to calculate the future value with monthly compounding

The formula for calculating future value:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate

m = number of compounding

N = number of years  

$375 x ( 1 + 0.06/12)^12 x 3

$375 x (1.005)^36 = $448.76

Interest earned = future value - amount saved

$448.76 -  $375  = $73.76

Answer:

$405,44

Step-by-step explanation:

Equation: 499.99 - (499.99 x 15/100) - 1/10[499.99-(499.99 x 15/100)] + 6/100{1/10[499.99-(499.99 x 15/100) = x

Steps: x = (15 x 499.99)/100 = $74.9985

499.99 - 74.9985 = $424,9915

x = (424,9915 x 10)/100 = $42,49915

424,9915 - 42,49915 = $382,49235

x = $22,949541

382,49235 + 22,949541 = $405,441891

That can be rewritten as $405,44.

I hope that helped :)

Answer:

The sum of the squares of two legs of a right triangle is equal to the square of the hypotenuse (the longest side).

Equation: a^2+b^2=c^2

where a and b are legs and c is the hypotenuse

Answer:

Step-by-step explanation:

sure

Answer:

10°C is above ice point while -10°C is below ice point

Answer:

1.20 2.50 4.75 0.003 0.0053 0.0075

Step-by-step explanation:

Divide each percent by 100 to get the decimal form.

Sorry for not showing a diagram, but I hope this helps!

Answer:

it could either be 10.781 or 65.6, if not either of em then iam truly very sorry

Step-by-step explanation:

Answer:no clue

Step-by-step explanation:

i need the points im sorry

Answer:

x ≈ 2.3

Step-by-step explanation:

Given

x³ = 12 ( take the cube root of both sides )

x = [tex]\sqrt[3]{12}[/tex] ≈ 2.3 ( to 1 dec. place )

Answer:

15

Step-by-step explanation:

a²+b²=c²

12²+9²= 144+81=225²

√225 = 15

Answer:

33.24m

Step-by-step explanation:

c²=32²+9²

c²=1105

c=33.24m

Answer: it is a

Step-by-step explanation:

Answer:

0 units

Step-by-step explanation:

What's the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is 25 units?

The formula to solve for the sides of a right angled triangle

= Hypotenuse² = Opposite² + Adjacent ²

Hypotenuse = 25 units

One side = 25 units

To find the other side

√ 25² - 25²

= √625 - 625

= √0

= 0 units

The length of the other leg = 0 units

Answer:

a + b = 780

Step-by-step explanation:

If we subtract the two equations we can ”eliminate“  a and b and find the value of z.

a-a = 0

b-b = 0

-10z = -700

z = 70

now we have to subistitute this value in the two equations

a + b -4(70) = 500

a + b + 6(70) = 1200

a+b - 280 = 500

a + b + 420 = 1200

If we simplify we have

a + b = 780

a + b =  780

Answer:

The initial value is;

y = 16

Step-by-step explanation:

Here, we want to get the initial value of y

Generally, for an exponential function,

we have the form as;

y = a•b^x

where the initial value is the value we have when x = 0

Looking at the given function, substituting x = 0

We have the function as;

y = 16(0.75)^0

y = 16 * 1

y = 16

So the initial value is 16

Answer:

When you are finding a percent of a number or price, you need to convert the percent to a​ decimal.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Answer:

7 muffins

Step-by-step explanation:

9x9=81

88-81=7 muffins

Answer:

7 muffins

Step-by-step explanation:

88 x 9 =

81

81 + 7 = 88

So the Answer is 7

Answer:

135

Step-by-step explanation:

Multiplying the quotient and divisor can give the divended.

So, -9 x -15 = 135

This is same for the other boxes at the top, try multiplying for the other boxes of their quotient and divisor together and you'll get the same number as the divended written on the other boxes.

Answer:

49(pi)

Step-by-step explanation:

Area of a circle = (pi)r squared

= 7 squared (pi)

= 49(pi)

= 49 x pi

Answer:

49(pi)

Step-by-step explanation:

Answer:

$191.70

Step-by-step explanation:

total amount spent = cost of medicine + cost of tax + cost of shipping

cost of tax = 0.05 x $180 = $9

cost of shipping 0.015 x $180 = $2.70

total cost = $180 + $9 + 2.70 = $191.70

Answer:

d = 15.8 m

Step-by-step explanation:

Apply the Pythagorean Theorem to find the length of the diagonal.  The correct equation for this particular rectangle is

d = √(9² + 13²) = √250 = √25·√10 = 5√10

To the nearest tenth, this comes to d = 15.8 m

Answer: 15.8

Step-by-step explanation:

Answer:

253,276,311,363    293.5 is the mdien.

Step-by-step explanation:

Answer:

293.5

Step-by-step explanation:

Least to greatest: 253, 276, 311, 363

Median = middle

If there are two middle numbers find the mean of the two numbers.

276 + 311 = 587

587/2 = 293.5

Hope this helps!! Have a great day and remember, you are loved.

Answer:

(x. y)=  (4,-6)

Step-by-step explanation:

Step-by-step explanation:

14 feet = diameter

7 feet= radius

2r=d

7+7=14

hope this helped !