A straight line p through A(-2,1) and B(2,k) the line is perpendicular to a line 3y + 2x =5. Determine the value of k

Answers

Answer 1

Answer:

k = 7

Step-by-step explanation:

To solve this, first, you need to find the slope of the line. To do this, you can convert it into point-slope form.

3y = -2x + 5

y = - 2/3x + 5/3

The slope is -2/3, so the perpendicular slope in 3/2

You find the difference between the x - values (2 - -2 = 4), then multiply that by the slope (4 x 3/2 = 6) finally, you add that to the y value of point one.

1 + 6 = 7


Related Questions

Find the exact volume of the radius is 7 inches and the height is 18 inches.

Answers

Answer: 882pi square inches

Step-by-step explanation:

MATH
NATION
Question 1 of 10
NEXT QUESTION
Suppose h(t) = -0.2t2 + 2t models the height, in feet, of a ball that is kicked into the air where t is
given as time, in seconds.
After how many seconds does the ball reach its maximum?

Answers

Step-by-step explanation:

the point of extreme value we get a the zero dilution of the first derivative of the function.

h(t) = -0.2t² + 2t

h'(t) = -0.4t + 2

so,

-0.4t + 2 = 0

2 = 0.4t

t = 2/0.4 = 5 seconds

so, after 5 seconds the ball reaches its maximum height.

FYI : that height is then h(5).

-0.2×5² + 2×5 = -5 + 10 = 5 ft

so, all in all, a very weak kick in very low gravity ...

2. The center of a circle is at (4,-5). The radius of the circle is 10 units. Write the equation of the
circle.

Answers

Answer:

Step-by-step explanation:

The question is below:

Answers

QUESTION -> {WHICH EQUATION DESCRIBES A LINEAR FUNCTION }.

?

ANSWER :

B .

y =(1 6 ) ×

or.

C .

y = (2) ×

HOPE IT HELPS .

THANK ME LATER

THANKS.

Show that the triangles are similar and write a similarity statement.
pls help...

Answers

Step-by-step explanation:

BC / EC = 21/14 = 3/2.

AC / CD = 27/18 = 3/2.

Angle ACB and ECD are congruent because they are vertical angles.

This means that triangle ABC is similar to triangle DEC by SAS.

( Pls Help ASAP) 1 question 15 points))

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

It says to find the value at x=2. This is going to be a vertical line that passes through the point (2,0). This vertical line intersects the function at (2,-3) therefore the value of the function at 2, is -3.

I hope this helps!

Please mark brainliest!!

Camden invested $1400 in an account that pays 4.5% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Camden would have in the account 12 years after his initial investment. Round to the nearest tenth ( if necessary)

Answers

The amount of money Camden would have in his account after 12 years is equal to $2,374.3.

How to calculate compound interest.

To calculate how much money Camden would have in his account after 12 years, we would use the formula for compound interest.

Mathematically, compound interest is given by this formula:

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

Where:

A is the balance.P is the principal or starting amount.R is the interest rate.T is the time measured in years.

Given the following data:

Principal = $1400.

Interest rate = 4.5% = 0.045.

Time = 12 year.

Substituting the given parameters into the formula, we have;

[tex]A=1400(1+0.045)^{12}\\\\A=1400(1.6959)[/tex]

A = $2,374.3.

Read more on interest here: brainly.com/question/24341207

A cylindrical water tank has a diameter of 9 feet and a height of 16 feet. Each can of paint covers 50 square feet. What is the minimum number of cans of paint needed to cover the outside of the tank

Answers

Answer:

12 cans

Step-by-step explanation:

The area of the outside of the tank:

radio = half diameter = 4.5 ft.

base: [tex]A_{b} =\pi r^{2} =\pi (4.5)^{2} =20.25\pi[/tex]

Top: = base [tex]=20.25\pi[/tex]

cylinder: [tex]2\pi rh=2\pi (4.5)(16)=144\pi[/tex]

Total area to paint: [tex]144\pi +2(20.25\pi) =184.5\pi =579.6sq.ft.[/tex]

Number of cans of paint:

[tex]c=\frac{579.6}{50} =11.59=12[/tex]

Hope this helps

A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 1 yard long, and the height of the equilateral triangle is 0.9 yards. The pyramid's slant height is 1 yard. What is its surface area?

Answers

Answer:

base: 1/4 * 12^2 * √3 = 36√3

each face: 1/2 * 12 * 8 = 48

Now finish it off

Step-by-step explanations:


4. 10% of 210 is?
0.21
2100
2.10
21

PLEASE HELP!! 15 points asap!

Answers

Answer:

10% of 210 is 21

Step-by-step explanation:

The 1 in 10% is much help. Move the decimal point one place to the right.

I know this is not much, but I hope this helps :)

Triangle XYZ is dilated by a scale factor of 4 3 . Which algebraic rule represents how to find the coordinates of triangle X’Y’Z’?

Answers

When the triangle XYZ is dilated by a scale factor of 4/3, the resulting triangle would have a bigger side lengths

The algebraic rule  is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

How to determine the algebraic rule?

From the question, we understand that:

The scale factor (k) of the dilation is:

k = 4/3

The dilation rule across the origin is represented as:

[tex](x,y) \to k(x,y)[/tex]

Substitute 4/3 for k

[tex](x,y) \to \frac 43(x,y)[/tex]

Expand

[tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

Hence, the algebraic rule that represents how to find the coordinates of triangle X’Y’Z’ is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

Read more about dilation at:

brainly.com/question/26332230

A watch company is developing packaging for its new watch. the designer uses hexagons with a base area of 25 in2 and rectangles with a length of 10 in to create a prototype for the new package. what is the volume of the prototype? 150 in3 200 in3 250 in3 300 in3

Answers

Answer:

The answer should be C. 250 in^3

Answer:

C. 250 in^3

Step-by-step explanation:

If the probability of a basketball player making a shot is 5/12, what is the probability of him not making a shot

Answers

Answer:

5 percent of 12 is 0.6

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

total = 12/12

p(shot) = 5/12

p(not making shot) = 7/12

because

12/12 - 5/12 = 7/12

Hope this helped!

What transformation did Tory perform?

Answers

Answer:

She translated each vertex of Figure 1 seven units to the right.

Step-by-step explanation:

HELP WILL MARK BRAINIEST!!!
For each of the following two quantities in Problems 1-4, which has the greater
magnitude?
2.-14 feet and 23 feet

Answers

Answer:

23 feet

Step-by-step explanation:

The absolute value of -14 is fourteen.

The absolute value of 23 is twenty-three

23>14

What equation best matches?

Answers

Last one! The (b+ d) one

What is the result when the number 39 is decreased by 3%?

Answers

result = 39 - 39 x 3% = 39 x 0,97 = 37,83

e + 3.1 = 5

this is hard.

Answers

AnswerAnswer:E=1.9

Step-by-step explanation:

ssorry bit i conta speak englessh

Ron started the day with a score of +12.
He lost 4 points, gained 3 points, and then
lost 15 points. What was his score then?

Answers

+ 12 - 4 + 3 - 15

= 12 + 3 - 4 - 15

=     15   -   19

= - 4

Answer:

He has -4 points. if I'm not mistaken

Step-by-step explanation:

12 - 4 + 3 - 15 = -4

I apologize if I am incorrect

What is 3(b+8) in Distributive Property​

Answers

Answer:

3b + 24

Step-by-step explanation:

3*b=3b

3*8=24

therefore the answer is 3b+24

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

you just multiply 3 and b, it’ll give you 3b, and then 3 x 8 which gives 24. So it’ll be 3b+24

Hi can I help me, I’ll reward Branliest!!! :)))

Answers

Answer: Below

Step-by-step explanation:

We find the area of the base. Since this is a rectangular pyramid, the base would be the rectangle on the bottom:

3 * 2 = 6

Next we find the height. If we draw the height, we can see that it makes a right triangle with the base and sides, making the Pythagorean theorem valid.

Sqrt(3.4^2 - 1^2) = 3.3

The equation for volume in a pyramid is (base*height)/3.

(3.3 * 6)/3 = 6.6

Our answers are:

1) 6

2) 3.3

3) 6.6

A cube has a lateral area of 676 square feet. what is the side length of the cube? 4.3 feet 6.5 feet 10.6 feet 13 feet

Answers

The side length of the cube is 13 feet.

We have given that

Lateral area of a cube = 676 square feet

We have to determine the side length of the cube

So here we use the formula of the lateral surface area of the cube.

What is the formula for Lateral surface area?

[tex]L=4side^2[/tex]

L=676,and side =a

[tex]676=4a^2[/tex]

divide both side by 4

[tex]\frac{676}{4}=a^2[/tex]

[tex]169=a^2[/tex]

Taking square root on both side of equation we will get

[tex]13=a[/tex]

Therefore, Side length of the cube is 13 feet.

To learn more about the lateral area visit:

https://brainly.com/question/1297098

Answer:

13

Step-by-step explanation:

4. What is the proper way of naming the line at the right? A. ab B. ba C. AB D. AB

Answers

Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Josiaanswer this is it josia the question

Answers

Answer:

6? i am soooo confused

Step-by-step explanation:

A person places $81200 in an investment account earning an annual rate of 3. 6%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 13 years

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$81200\\ r=rate\to 3.6\%\to \frac{3.6}{100}\dotfill &0.036\\ t=years\dotfill &13 \end{cases} \\\\\\ A=81200e^{0.036\cdot 13}\implies A=81200e^{0.468}\implies A\approx 129659.95[/tex]

helppppppppp please
thanks ​

Answers

Answer:

Here is the answer

Step-by-step explanation:

4^4/(6^6)

In which quadrant does θ lie given that sinθ < 0 and cosθ < 0? Thank You!
Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Answers

Answer:

Quadrant III yw :3

Step-by-step explanation:

64, –48, 36, –27, ... which formula can be used to describe the sequence? f(x 1) = three-fourthsf(x) f(x 1) = negative three-fourthsf(x) f(x) = three-fourthsf(x 1) f(x) = negative three-fourthsf(x 1)

Answers

The formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).

What is geometric sequence?

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

The relation formula can be used to describe such sequence are,

[tex]f(x+1)=r\times f(x)[/tex]

Here, r is the common ratio.

The given sequence is,

[tex]64, -48, 36, -27, ...[/tex]

In the above sequence, the next term has opposite sign to its previous term. The common ratio between the two terms is,

[tex]r=\dfrac{-48}{64}=-\dfrac{3}{4}\\r=\dfrac{36}{-48}=-\dfrac{3}{4}\\r=\dfrac{-27}{36}=-\dfrac{3}{4}[/tex]

The common ratio of the sequence is -3/4. Put this value in the above formula as,

[tex]f(x+1)=-\dfrac{3}{4}\times f(x)[/tex]

Hence, the formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).

Learn more about the geometric sequence here;

https://brainly.com/question/1509142

Answer:

B

Step-by-step explanation:

edge

Find the sum of each of the following series:
(a) 2 + 7 + 12 + ...... +92

Answers

Arithmetic Sequence

We can observe that we are adding 5 each time to the numbers, meaning this is an arithmetic sequence with a common difference d=5

Explicit Relation

We can establish the relation,

u(n)=u⁰+nd

where u(n) is the nth term (any term).

u⁰ is out first term (2)

d is the common difference (5)

u(n)=u⁰+nd92 =2 +5n5n =90n =18

This sequence admits 19 terms since we start counting from 0 till 18.

Summation

S= number of terms/2 ×(u¹⁸+u⁰)

[tex]s = \frac{19}{2} \times (92 + 2)[/tex]

[tex]s = 9.5(94)[/tex]

[tex]s = 893[/tex]

That's ur answer :)

10 Cecelia took 40 minutes to complete a journey. She travelled half the distance at a speed of 100 km/h and the other half at 60 km/h. How far was her journey?

Answers

40 min = 40/60 hr = 2/3 hr

Distance = x km

t=distance/speed

x/200+x/120=2/3

multiply by 6oo

3x+5x=400

8x=400

x = 400/8=50km

The journey is for 50km


pls giive brainliest\

Other Questions
Last Thursday you bought a total of 33 school supply items. You spent $58 Pencils are $1.50 and glue sticks are $2 each. How many of each item did you buy? (5 pts) A tv is sold for ra 10350 with 15% profit. Find the cp of tv Is my answer correct? Find area of parallelogram 1) Find the slope of the line2) Find the slope between the two points. help please, thank you this is for my sister can someone help her she needs it nowClaimParticipating in sports programs helps students build confidence.EvidenceOne study published in the International Journal of Behavioral Nutrition and Physical Activity found that children who played sports were significantly more likely to report high levels of self-confidence than those who did not.StrongWeak: Doesn't Support the ClaimWeak: Not a FactWeak: Not from a Credible Source Is {(2,3), (4,5), (-2, -1), (0,1)} a function or not give a reason for your answer 1. You've probably heard the statement, "You can't believe everything you read in newspapers or see on TV."What does that statement mean to you? A cat weighs8 1/4pounds.How many ounces does the cat weigh? The two graphs shown represent the motion of two blocks with different masses, m1 and m2. The blocks are oscillating on identical springs. Which of the following statements correctly describes the relationship between m1 and m2 and provides evidence from the graphs? help please i guess? a rectangular garden is 1.25 meters wide and 3.4 meters long. what is the area of the garden? What is -4x^2-6x-4 in vertex form? Please help ASAP Identify the logical association The triangle is not necessarily drawn to scale, and the angles can vary. Create a compound inequality for the side length x using the Triangle Inequality.A. 2 < x < 12B. 5 < x < 7C. 5 < x < 12D. 2 < x < 7 A right triangle has a leg of 17 cm and a hypotenuse of 25 cm. What is the length of the other leg? Round to the nearest tenth. 11/which of the following is true?A. Warmer colors advanced; cooler colors recede.B. Lighter colors advanced ; darker colors recede.C. Purer colors recede ; duller colors advance.D. Duller colors advance; Warmer colors recede. Describe the different internal and external factors that affect human health. what must dna copy one at a time in the process of dna replication In healthcare settings where sterilization is an absolute necessity, what method of sterilization will typically be used?pasteurizingdisinfectingautoclavingboilinglyophilizing