Write the equation for the line that goes through the point (5, 12) with a slope m = 10​

Answer:

these problems are always tough b/c they want you to translate normal thinking into math jargon  :D   soooo....

Step-by-step explanation:

they use the point slope formula... which looks like

y = [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

where ([tex]x_{1}[/tex] , [tex]y_{1}[/tex] )  are the x , y coordinates of some point you're given.. sooo

they give us two points.. so we can put either one of those into the formula.. but we also have to find m.... or the slope ... to find m.. use the slope equation of

m = ( [tex]y_{2}[/tex] - [tex]y_{1}[/tex] ) / ( [tex]x_{2}[/tex] - [tex]x_{1}[/tex] )  

call either point  P1  and P2 ... i'll pick the top point as P1  and bottom as P2

then

m = ( -3 -1 ) / ( 1 - 3 )

m = -4 / -2

m = 2     ( yay  :) )

now use either point and plug it into the point slope formula, i'll use P1

y - 1 = 2(x-3)   ( this is the answer they are looking for )

Answer:

A ; g(x) = (1/2 x)^2

Step-by-step explanation:

Here, we want to get g(x)

we have a point on the curve g(x)

The point is represented by (2,1)

What this mean here is that, when x = 2, y = 1

Looking at the first option;

Substitute 1 for y and 2 for x

1 = (1/2 * 2)^2

1 = 1

This means this is our answer

The equation for g(x) is;

g(x) = (1/2 x)^2

Answer:

[tex]Parts = \frac{1}{8}[/tex]

Step-by-step explanation:

Given

[tex]N = \frac{1}{6}[/tex] -- Not good enough

[tex]M = \frac{3}{4}[/tex] --- Minor repairs

Required

The parts that are not good enough but only needs minor repairs

To do this, we simply multiply M by N

[tex]Parts = M * N[/tex]

[tex]Parts = \frac{3}{4} * \frac{1}{6}[/tex]

Divide by 3/3

[tex]Parts = \frac{1}{4} * \frac{1}{2}[/tex]

[tex]Parts = \frac{1}{8}[/tex]

Hence, the part of the donation is 1/8

Answer:

Hypotenuse = 8 cm (Approx.)

Step-by-step explanation:

Given:

Side1 = 3 cm

Side2 = 7 cm

Find:

Hypotenuse

Computation:

Hypotenuse = √Perpendicular² + base²

Hypotenuse = √side1² + side2²

Hypotenuse = √3² + 7²

Hypotenuse = √9 + 49

Hypotenuse = √58

Hypotenuse = 7.61

Hypotenuse = 8 cm (Approx.)

Answer: $9.60

Step-by-step explanation:

First, we need to calculate the discount given on the pizza. This will be:

= 40% × $16.

= 40/100 × $16

= 0.4 × $16

= $6.40

Then the new price will be gotten by subtracting the amount given off from the original price. This Will be:

= $16 - $6.40.

= $9.60

The new price is $9.60

Answer:

I can help you Zero Two!

The answer is going to be x =5!

Step-by-step explanation:

5x - 3 = 4x + 2

5x - 3 - 4x = 4x + 2 - 4x

x - 3 = 2

x - 3 + 3 = 2 + 3

x = 5

Hope this helped you!

Answer:

x=5

Step-by-step explanation:

Hey There!

So when solving these types of problems are goal is to get the variable on one side (x) and the constants on the other. To do this we use inverse operations

5x-3=4x+2

so to get rid of the -3 we add 3

but whatever we do to one side we have to do to the other

so we would add 3 to each side

2+3=5

-3+3 cancels out

Now we have

5x=4x+5

now we want to get rid of the 4x so to do so we subtract 4x from each side

5x-4x=x

4x-4x cancels out

now we have

x=5

so we can conclude that x=5

Answer:

the answer is b

Step-by-step explanation:

because the point is located at the number given the answer is b

Answer:

30 centimeters

Step-by-step explanation:

P = 6 + 4 + 4 + 6.5 + 9.5 = 30

Answer:

[tex]f^{-1}(x)=\frac{1}{8}(x-4)^{3}[/tex]

Step-by-step explanation:

Given function is,

f(x) = [tex]\sqrt[3]{8x}+4[/tex]

To find the inverse of this function,

Rewrite the function as a equation,

y = [tex]\sqrt[3]{8x}+4[/tex]

Interchange x by y and y by x,

x = [tex]\sqrt[3]{8y}+4[/tex]

Now solve this equation for y,

x - 4 = [tex]\sqrt[3]{8y}[/tex]

(x - 4)³ = [tex](\sqrt[3]{8y})^3[/tex]

(x - 4)³ = 8y

y = [tex]\frac{1}{8}(x-4)^{3}[/tex]

Now convert the equation into function,

[tex]f^{-1}(x)=\frac{1}{8}(x-4)^{3}[/tex]

Answer:

47

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

multiply 90 and 4

Answer:

the domin{1,2,3}

the range{6,7}

and its a function

Step-by-step explanation:

Answer:5

Step-by-step explanation:

2 +3=5

3+2=5

Answer:

3+2=5. I hope your finger is okay, I'm really sorry that you chopped of your finger! Please try and be safer, especially around sharp objects :<

Step-by-step explanation:

Answer:

[tex]21cm^{3}[/tex]

Step-by-step explanation:

According to the problem, calculation of given data are as follows,

Volume of cylindrical vase = [tex]63cm^{3}[/tex]

As, Cone has same height and radius as cylinder, than we can calculate volume of cone by using following formula,

Volume of cone = [tex]\frac{1}{3}[/tex] × Volume of cylindrical vase

By putting the value, we get

Volume of cone = [tex]\frac{1}{3}[/tex] × 63

Volume of cone = [tex]21cm^{3}[/tex]

Answer:

98.88

Step-by-step explanation:

Perimeter lengtth= 12

Apothem length= 16.48

Area result: 98.88

Step-by-step explanation:

[tex]56 = 2n + 99[/tex]

Collect like terms and simplify

[tex]56 - 99 = 2n \\ - 43 = 2n[/tex]

Divide both sides of the equation by 2

[tex] \frac{ - 43}{2} = \frac{2n}{2} [/tex]

Simplify

[tex]n = - \frac{43}{2} = - 21 \frac{1}{2} [/tex]

Answer:

14

Step-by-step explanation:

The value of the account will reach to $1,830 in 15 years.

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given that, Mackenzie invested $770 in an account paying an interest rate of 6.1% compounded continuously after a certain period of time the mount becomes $1830

We know that,

[tex]A = P(1+r)^n[/tex]

Where, A = amount, P = principal, r = rate and n = time.

1830 = 770(1+0.061)ⁿ

1830 / 770 = (1.061)ⁿ

2.37 =  (1.061)ⁿ

Taking log both side,

log(2.37) = n log(1.061)

n = log(2.37) / log(1.061)

n = 14.57 ≈ 15

Hence, the value of the account will reach to $1,830 in 15 years.

For more references on Compound interest, click;

https://brainly.com/question/14295570

#SPJ2

Answer:

22.05in^2

Step-by-step explanation:

Formula for area of a triangle:

(base × height) / 2

(bh)/2

(12.25 × 3.6)/2

44.1/2

22.05

When finding the area, the units will always be to the second power because we are multiplying them

in × in = in^2

Answer:

14

Step-by-step explanation:

8 - |-6| = 14

|| means absolute value, or the distance the number has from 0 on the number line. ex. |-92| = 92    |8| = 8

Answer: decreases

Step-by-step explanation:

Answer:

c. 4x

Step-by-step explanation:

Answer:

5m^2 + 16k + 13m^2

(5m^2+13m^2) + 16k

18m^2 + 16k

Let me know if this helps!

the answer is 90 degrees

Answer:

6

Answer:

6+18

Step-by-step explanation:

HELP ME SOMEONE PLS ANSWER MY QUESTION FROM MY PROFILE.

Answer:

I  attached an image of the graph, and as you can see the function  approaches 1 as x approaches  infinity and negative infinity.

So, the correct answer is D.

Let me know if this helps!

Answer:

I believe that it would be D. The Function approaches as x approaches - inf and inf