Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=4/3x

Distance formula: distance = sqrt((x2-x1)^2 + (y2-y1)^2)

distance = sqrt((-2 - -9)^2 + (-2 - -6)^2)

Distance = sqrt( 7^2 + 4^2)

Distance = sqrt(49+ 16)

Distance = sqrt(65)

Answer is c. Sqrt(65)

Answer: the answer is c which square root 65

Step-by-step explanation: hope it is correct .

Answer: x=2, y=-1

Step-by-step explanation:

Step 1) Make both equations have the same coefficient

What I mean by this is make either y or x have the same number multiplied to them so that we can eliminate. We can do this by multiplying everything in the first equation by 2.

[tex](2)x - (2)2y = (2)4\\2x-4y=8[/tex]

Step 2) Add the equations together to eliminate y

[tex]2x - 4y = 8\\+3x + 4y = 2\\5x+0=10\\5x=10[/tex]

Step 3) Solve for x

[tex]\frac{5x}{5} =\frac{10}{5} \\x=2[/tex]

Step 4) Sub the value of x into an equation and solve for y

[tex]x-2y=4\\2-2y=4\\2-2-2y=4-2\\-2y=2\\\frac{-2y}{-2} =\frac{2}{-2} \\y=-1[/tex]

Answer:

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

A, B, C, ZBAC=90°

AB=4.2mm

CA=1.5mm,

DP

mm

BC

hope this helps

Answer:

BC = 4.5 (1 dp)

Step-by-step explanation:

Pythagoras’ Theorem

[tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substituting these into the formula and solving for BC:

[tex]\implies 1.5^2+4.2^2=BC^2[/tex]

[tex]\implies 2.25+17.64=BC^2[/tex]

[tex]\implies BC^2=19.89[/tex]

[tex]\implies BC=\pm\sqrt{19.89}[/tex]

As distance is positive,

⇒ BC = 4.5 (1 dp)

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

let us first start with some basic information ~

A fraction can be represented as [tex]\frac{x}{y}\\[/tex] where ,

x is the numerator and y is the denominator !

the question asks us to do something that will help us get same denominator for both the terms !

so let's see what we should do in such a case ~

[tex] \frac{9}{10} \: and \: \frac{7}{8} \\ \\ \\ lets \: make \: the \: denominator \: of \: both \\ the \: terms \: reach \: 80 \: , \\ \\ \bold\orange{ \implies \: \frac{9}{10} \times \frac{8}{8} = }\bold\red{ \frac{72}{80}} \\ \\\bold\orange{ \implies \: \frac{7}{8} \times \frac{10}{10} =}\bold\red{ \frac{70}{80}} [/tex]

and we're done !

let's add some more info to be lil more clear ~

while converting the denominator of both the terms , we must multiply the same number ( this number refers to the one we'll have to multiply to the denominator to obtain the desired result ) with the denominator as well as with the numerator !

hope helpful :D

Answer:

Step-by-step explanation:

you have to multiply first fraction with '8' and second fraction with '10' :

the fractions will become 72/80 and 70/80 then you can compare it

Answer:

28t³ - 12t² + 12t + 1

Step-by-step explanation:

Derivative Rule

Solving

Answer:

it will take 16 years to reach a population of 1800 and in 23 years the population will be 400.

Step-by-step explanation:

population: 5000

population decreasing: 200x

y=5000-200x

(1800-5000)/-200

(400-5000)/-200

Answer: -1.088

Step-by-step explanation:

I’m sorry if it’s wrong

Answer:D

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

(x,y )  will transform to  ( y, -x)

so all of the coordinates will be   (clockwise from top left)

5,-2   5,-4    4,-4     4,-3   2,-3   2,- 2

The hypotenuse is equal to the square of the other two sides. The length of AC from the diagram is 21.9feet

The theorem states that the square of the hypotenuse is equal to the square of the other two sides

Given the following

Hypotenuse = 26 feet = CD
Base side = AD = 14ft

Required

Length AC

Use the theorem

26^2 = 14^2 + AC^2

AC^2 =  676 - 196
AC^2 = 480
AC = 21.9feet

Hence the length of AC from the diagram is 21.9feet

Learn more on pythagoras theorem here: https://brainly.com/question/343682

Answer:

Given circle E with diameter CD and radius EA. AB is tangent to E at A. If
CD = 8, solve for AD. Round your answer to the nearest tenth if necessary. If the
answer cannot be determined, click "Cannot be determined.

Step-by-step explanation:

Answer:

Tr2

Step-by-step explanation:

pie * radius * radius

Answer:

Step-by-step explanation:

The circumference of a circle is given to be 2πr, and its radius to be r.

Answer:

i think it is "yes"

Step-by-step explanation:

hope this helps you!

Answer:

The answer is yes.

Step-by-step explanation:

Statistical questions mean there are different responses. and not just one simple answer.

Answer:

40 minutes

Step-by-step explanation:

I think this is the correct answer

I hope I helped you

sorry if I got it wrong btw

Step-by-step explanation:

MARK A BRAINLESS THIS ANSWER IS CORRECT

Answer:

2

Step-by-step explanation:

If there is a lower number, please show me as I only see 2/5 as the lowest answer (not including a fraction of a fraction.

Answer:

2/5

Step-by-step explanation:

Step-by-step explanation:

the law of sine

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and associated angles are always opposite to each other.

and the sum of all angles in a triangle are always 180°.

sin(90) = 1.

4.

there are multiple solutions, as the direction they are going has no relevance to their position to each other right now.

and the angles of depression can be forward or backwards of the plane.

the larger the angle of depression, the closer the ship is.

for the closer ship we get

height/sin(35) = ground distance / sin(180-90-35)

265/sin(35) = ground distance / sin(55)

ground distance (plane to closer ship) =

= 265×sin(55)/sin(35) = 378.4592218... m

for the farther ship we get

height/sin(25) = ground distance / sin(180-90-25)

265/sin(25) = ground distance / sin(65)

ground distance (plane to closer ship) =

= 265×sin(65)/sin(25) = 568.2943339... m

the distance of both ships is

568.2943339... - 378.4592218... = 189.8351121... m

now, this distance applies to the case, where both ships are on the same side of the plane.

if they are on different sides of the plane, then we need to add their individual distances from the plane to get the distance of both ships from each other :

568.2943339... + 378.4592218... = 946.7535557... m

5.

another right-angled triangle.

the string is the Hypotenuse (baseline).

the height and the ground distance are the legs.

so, we get

100/sin(90) = height/sin(52) = 100

= ground distance / sin(180-90-52)

height = 100×sin(52) = 78.80107536... m

ground distance = 100×sin(38) = 61.56614753... m

Answer:1

1

Step-by-step explanation:1

Answer:190 mg of sodium in 1 oz of chips and 40 mg for 1 cup soda.

Step-by-step explanation:

Answer:

The answer would be $14 a sweater.
And S=42*3 (If * is a divide by sign)

Step-by-step explanation:

Step 1. Find the equation. If $42 is total then we know to to divide that number by three getting the equation S=42*3.
Step 2. Do the math. 42 divided by 3 is 14, meaning 14 dollars per sweater.
I hope this helps! :)

The true statements for the parabola in the image are:

Mathematically, the standard equation of the directrix lines for a parabola is given by y = a(x - h)² + 2.

Given the following data:

Vertex (h, k) = (4, 3).

Point (x, y) = (8, 6).

Next, we would determine the distance where point (8, 6) lies on the parabola:

y = a(x - h)² + 2

6 = a(8 - 4)² + 2

6 = a(4)² + 2

6 = 16a + 2

16a = 6 - 2

16a = 4

a = 4/16

a = 1/4.

Therefore, the equation becomes:

y = 1/4(x - 4)² + 2

When x = 2, we have:

y = 1/4(2 - 4)² + 2

y = 1/4(-2)² + 2

y = 1/4(4) + 2

y = 1 + 2

y = 3.

In conlusion, the true statements regarding the parabola in the image are:

Read more on directrix here: https://brainly.com/question/2346582

#SPJ1

Answer:

1 - 60

Step-by-step explanation:

She needs to number each plant 1-60 and randomly select 10 plants.

Answer:

Step 3

Step-by-step explanation:

-4(3)(-1)

Will be equal to a positive 12

Answer:

32

Step-by-step explanation:

4 ÷ 1/8

4/1 · 8/1 = 32/1

32

I hope this helps & God bless!

Answer:

(-5,-2)

(-4,-3)

(-6,-1)

Step-by-step explanation:

-5(x)-2(y)=-7

-4(x)-3(y)=-7

-6(x)-1(y)=-7

Answer:

196

Step-by-step explanation:

the area of a square is simple its just a=length time width, so you just plug in youre length which is 14 and a square side are all the same size so the width is also 14, so your equation is a=14 times 14= 196. ;) hope that helped.

Answer:

Yes

Step-by-step explanation:

You can test if a triangle is right-angled by using Pythagoras' Theorem.

So:

[tex]4^2 + 7.5^2 = 8.5^2[/tex]

16 + 56.25 = 72.25

They do in fact add up so this triangle is right angled.