Find the shortest distance from point A to the given line.

y = 3x +1 ; A (3,0)

What is the shortest distance from point A to the line?

Answer:

[tex]x=3\sqrt{2}\\[/tex]

Step-by-step explanation:

Since the smaller triangles have a side of the same length, they share one side, and the included angle is 90°, the triangles are congruent.

This means the length of the side to the left is also x as shown in the image below.

The bigger triangle is also right and has side lengths of x, x, and 6 (the hypotenuse), thus:

[tex]x^2+x^2=6^2[/tex]

Operating:

[tex]2x^2=36[/tex]

[tex]x^2=18[/tex]

Since 18=9*2

[tex]x=\sqrt{9*2}[/tex]

[tex]\mathbf{x=3\sqrt{2}}[/tex]

The options are not clear enough, so I cannot make a choice.

Answer:

the volume is 77 in³

Answer: Sitting fee - 32$

Step-by-step explanation:

This is a system of equations(let x represent the sitting fee)

x+6y=50

x+11y=65

You want to isolate the x variable - x+6y-6y=50-6y ; x = 50-6y

Input this into the 2nd equation: 50-6y+11y=65 ; 50+5y=65

Subtract 50 from both sides. 5y=15 (Divided 5y on both sides) ; y=3

Now that y = 3 input this into any equation I choose the 1st one.

x+6(3) = 50 ; x + 18 = 50 (Subtract 18 on both sides to get x)

x = 32

Prove: 32 + 6(3) = 50 ; 32+18 = 50 ; 50 = 50 True

Answer:

oop lol

Step-by-step explanation:

welp

Answer:

oop hello mortals how are yall doing

Answer:

I am confused there no picture so go with your gut man

Step-by-step explanation:

Answer:

What is the line? The link isn't working...

Step-by-step explanation:

Wait, nevermind... I got it! The answer is B. (0,-2)

Hope that helps and please give me brainliest!!!

Answer:

B , D , A ,C

Step-by-step explanation:

PEMDAS

Answer:

= 5² = 25

= 36 ÷ 6 = 6

= 6 × 3 = 18

= 18 + 25 = 43

Step-by-step explanation:

The order of operations is PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction From Left to Right.

First is Exponents.

5² = 5×5 = 25

From left to right, division comes first.

36 ÷ 6 = 6

Then multiplication.

6 × 3 = 18

Lastly, addition.

18 + 25 = 43

Hope that helps.

Answer:

13 sandwiches were made

Step-by-step explanation:

91 divided by (4+3) would be the equation.

its B trust me mark me brainliest

Answer:

C.) y = 5/4x - 4

Step-by-step explanation:

Points: (0,-4) and (4,1)

m = y2 - y1/x2 - x1

m = 1 - (-4)/4 - 0

m = 1 + 4/4

m = 5/4

Point: (4,1) (you may choose any points, but I will choose these since they are the easiest to work with)

y - y1 = m(x - x1)

y - 1 = 5/4(x - 4)

y - 1 = 5/4x - 5

y = 5/4x - 5 + 1

y = 5/4x - 4

Answer:

70, 110, 70, 110

Step-by-step explanation:

opposite interior angles are equal

the sum of adjacent interior angles equal 180

Answer:

B

Step-by-step explanation:

9 is where you graph it first, to start your line. this would mean that it is B

Answer:

a = [tex]\frac{b-bc}{d}[/tex]

Step-by-step explanation:

Given

bc + ad = b ( subtract bc from both sides )

ad = b - bc ( isolate a by dividing both sides by d )

a = [tex]\frac{b-bc}{d}[/tex]

the bottom. 1/23 something it that one

Answer:

The answer is D, x - 3.

Step-by-step explanation:

If we factor x^3-3x^2, the result is x^2(x-3).

Answer:

D

Step-by-step explanation:

Given

x³ - 3x² ← factor out x² from each term

= x²(x - 3) ← in factored form

with one of the factors being x - 3 → D

Answer:

So, the system of equations are

x+y=40

x= 3 y

Step-by-step explanation:

Let's make system of equations for the given information.

Let x number of bracelets and y number of necklaces made.

So, for the information

She makes a total of 40 bracelets and necklaces, we can set up equation as

x+y=40

Now, for she makes 3 times as many bracelets as necklaces, we can set up equation as

x=3 y

Answer: -3x + 17 < 29

product means multiply, so we multiply -3 and x as seen in the answer.

the less than sign is <. to remember it: less than starts with L and the sign < looks like an L

Answer:

For nitrogen to be a liquid, its temperature must be within 12.78 °F of -333.22 °F. The equation |x + 333.22 | = 12.78 can be used to find x, which represents the maximum and minimum temperatures at which nitrogen is a liquid.

Hope this helps! :D

Answer:

she bought 4 braclets

Step-by-step explanation:

if you do 20 times 4 it gets you 80 and if you subtract 50 it leaves you with 30 meaning she bought 4 bracelets

i do hope this helps even tho my explanation isn't exactly the best

Answer:

1.92 second at 0.25 meters.

2.61 second at 0.50 meters.

Step-by-step explanation:

the average 2 washers  on time travel of:

0.25 m : 1.94 / 1.95 / 1.87 = 1.92 second

0.50 m: 2.69 / 2.72 / 2.42 = 2.61 second

In this exercise we have to calculate the time that a car makes in a certain distance, in this way we find that:

A) In 0.25 meters in 1.92 second.

B) In 0.50 meters in 2.61 seconds.

We know that some information is given in the statement as:

Knowing that the formula for calculating time is given by:

[tex]Time= Distance/Speed[/tex]

So we have:

A) [tex](1.94 +1.95 + 1.87)/3= 5.76\\0.25/5.76=1.92 s[/tex]

B)  [tex]2.69+ 2.72 + 2.42= 7,83\\0.50/7,83=2,61[/tex]

See more about time at brainly.com/question/2570752

Answer: b. the phosphorus cycle

Answer:

its B

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

1. Translation = (3 - 2, - 4 + 3) = (1, - 1)

2. Reflection over x axis = (3, 4)

3. Reflection over y axis = (-3, - 4)

4. Rotation 90° clockwise = (4, 3)

5. Rotation 180° counter clockwise = (-3, 4)

6. Dialation of 3 = (3*3, - 4*3) = (9, - 12)

Answer: true i believe

Step-by-step explanation:

Answer:

n=3

Step-by-step explanation:

12n-3n=30-3

9n=27

n=27/9

n=3

Answer:

(4,2)

Step-by-step explanation:

..................................

Answer:

Concept: Mathematical Representation

Answer:

The length is 12 cm, and the width is 9 cm.

Step-by-step explanation:

The length and width of a rectangle as legs form a right triangle with the diagonal of the triangle as the hypotenuse.

We can use the Pythagorean theorem to write an equation.

Let the width = w = leg a

The length = w + 3 = leg b

The diagonal = the hypotenuse = 12 = c

a^2 + b^2 = c^2

w^2 + (w + 3)^2 = 15^2

w^2 + w^2 + 6w + 9 = 225

2w^2 + 6w - 216 = 0

w^2 + 3w - 108 = 0

(w + 12)(w - 9) = 0

w + 12 = 0   or   w - 9 = 0

w = -12   or   w = 9

Since a width cannot be a negative number, we discard the solution w = -12.

width = w = 9

length = w + 3 = 9 + 3 = 12

Answer: The length is 12 cm, and the width is 9 cm.

Answer:

$65

Step-by-step explanation:

30% of 50 is 15, so 50+15=65.

Answer:

Step-by-step explanation:

50*30%= 15 more so it'll be 65