an equation of a line that passes through the point (15,2) and is perpendicular to the line -10x+8y = 3?

Answers

Answer 1

Answer:

        y = -⁴/₅x + 14

Step-by-step explanation:

Changing to slope-intercept form:

-10x + 8y = 3         {add 10x to both sides}

8y = 10x + 3         {divide both sides by 8}

y = ⁵/₄x + ³/₈

Two lines are perpendicular if the product of their slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

y = ⁵/₄x + ³/₈   ⇒   m₁=⁵/₄

⁵/₄×m₂ = -1        ⇒    m₂ = -⁴/₅

 

The line y=-⁴/₅x+b passes through point (15, 2) so the equation:

2 = -⁴/₅×15 + b must be true

2 = -12 + b

b = 14

Therefore equation in  slope-intercept form:

                                                     y = -⁴/₅x + 14


Related Questions

help me and ill give brainly

Answers

It would be

Hope this helps

Answer:

(-inf, 5)

Step-by-step explanation:

just the previous answer, in anothe r form

The circle with O has a circumference of 8pi inches. The central angle is 60 degrees. what is the length of the minor arc BSA

Answers

4.19 inches

use the formula: central angle/360°=arc length/8 pi

60/360 = 0.1667
0.1667 = length of minor arc /8 pi
multiply 8pi x 0.1667 to find length of arc
the minor arc is about 4.19inches

What is the perimeter of a rectangle that
is 5 inches by 3 inches?

Answers

Answer:16

Step-by-step explanation:

It’s 16 because a rectangle has 4 sides and 2 of them are 5 and another 2 sides are 3 so 5 + 5 + 3 + 3 = 16

It costs $60 to reserve a movie theater for a party. There is also a charge of $3 for each person. Which expression represents the total cost to reserve a movie theater for n persons?

Answers

the answer would be 3n+60

The sum of the interior angles of a triangle is equal to

Answers

Answer:

180°

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°

Find the value of x in the image

Answers

Answer:

50

Step-by-step explanation:

a pentagon has a total of 540 degrees

105, 115, 110, 180-2x, 180-3x are the interior angles (subtract each from 180 because they're on lines)

540= 105+115+110+(180-2x)+(180-3x)

540=330 +(180-2x)+(180-3x)

210=360-5x

-150=-5x

50=x

plz help timed MATHHHH 12 pointes

Answers

Answer:

Ok what you need help with. Were u going to post a picture?

Step-by-step explanation:

I'll help you.

What is the value of x? (-8x = 24) - 6x +18 - 122

Enter your answer in the box X= ​

Answers

Answer:

the value of x in x? (-8x = 24) - 6x +18 - 122 is x=40

Hope you do good :)

can you help me with this question
Increase 40 by 50%

Answers

Answer:

60

Step-by-step explanation:

first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer

Answer:

60!

Step-by-step explanation:

100% is 40

to increase that by 50, do 1.5 times 40

the answer to that is 60

Translate the sentence Into an equation.

Twice the difference of a number and 9 equals 7.

Use the variable b for the unknown number.

Answers

Answer: b - 9 = 7.

Step-by-step explanation:

given the function f(x)=x^2+5,evaluate f(-10)

Answers

Answer:105

Step-by-step explanation:

Three of the vertices of quadrilateral MARY are M (-3,1), A(3,3), and R(5,7). Find the
coordinates of Y, such that, quadrilateral MARY is a parallelogram.

Use coordinate geometry to prove that MARY is a parallelogram.

Answers

9514 1404 393

Answer:

  Y = (-1, 5)

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so have the same midpoint. That is ...

  (M +R)/2 = (A +Y)/2

  Y = M + R - A . . . . . . multiply by 2 and subtract A

  Y = (-3, 1) +(5, 7) -(3, 3) = (-3 +5 -3, 1 +7, -3) . . . . . substitute point coordinates

  Y = (-1, 5)

Coordinate geometry was used to find Y that makes MARY a parallelogram. The fact that there is a solution is proof enough that MARY is a parallelogram.

_____

Your teacher may expect the "proof" to be either or both of ...

showing opposite sides have the same slopeshowing opposite line segments have the same length

Given the method used above, both of these are unnecessary. However, in the interest of completeness, we will demonstrate.

Slope and Length of MA

  slope = (3 -1)/(3 -(-3)) = 2/6 = 1/3

  length = √(2²+6²) = √40

Slope and Length of AR

  slope = (7 -3)/(5 -3) = 4/2 = 2

  length = √(4² +2²) = √20

Slope and Length of RY

  slope = (5 -7)/(-1 -5) = -2/-6 = 1/3 . . . . same as opposite side MA

  length = √((-2)²+(-6)²) = √40 . . . . . . . same as opposite side MA

Slope and Length of YM

  slope = (1 -5)/(-3 -(-1)) = -4/-2 = 2 . . . . same as opposite side AR

  length = √((-4)² +(-2)²) = √20 . . . . . .  same as opposite side AR

Opposite sides have the same slopes, so the figure is a parallelogram.

Opposite sides have the same lengths, so the figure is a parallelogram.

Someone pls help me with both :(

Answers

Answer:

5) A

6) D

Step-by-step explanation:

for 5) I did just looked up online

2.5% of 25,000

and I added it to 25,000

which was 26,265.625

so I looked up 2.5% of 26,265.625 and I kept doing it until the 5th year and I got estimated $28,285.21

for 6) I did similar to 5) but I used the numbers that were given

I looked up 4% of 1,250 and I did that twice and got $1,352.55

hope that helped ;)

answer the pic below

Answers

Answer:

second answer - think im right

Step-by-step explanation:

Answer:

B

The second answer

Step-by-step explanation:

please mark me as brainliest

please help with this.

Answers

9514 1404 393

Answer:

  d.  The triangles are not similar

Step-by-step explanation:

The angle between the given sides is the same, so we need to compare the side ratios. In ΔQRS, we have ...

  QR/RS = 4/15

In ΔVTU, we have ...

  VT/TU = 8/32 = 1/4 ≠ 4/15

The triangles are not similar because corresponding sides are not proportional.

Which expression could be used to represent the area of the rectangle?

A. 10x
B. x² + 8
C. 4x + 16
D. x² + 8x
E. 2x + 8x

Answers

Answer:

option d x^2 + 8x

Step-by-step explanation:

area of rectangle = l×b

=x×(x+8)

=x^2+8x

Jackson biked k kilometers. Maria biked 8 more kilometers than Jackson. Peter biked 2 fewer kilometers than Jackson.

Drag and drop the expressions into the boxes to write an expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all.

k
8
12
k+2
k+8
k+10
k-2
k-8

Answers

Answer:

Step-by-step explanation:

The expression for the total distance covered.

k + (k + 8) + (k - 2)

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Distance biked:

Jackson = k

Maria = k + 8

Peter = k - 2

Now,

The total distance biked.

= k + k + 8 + k - 2

= 3k + 6

= 3 (k + 2)

Thus,

The total distance covered is 3 (k + 2).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

10 = k + 3 + 6k
How do I solve this equation?

Answers

Answer:

k = 1

Step-by-step explanation:

[tex]10=k+3+6k\\\\10=k+6k+3\\\\10=7k+3\\\\10-3=7k+3-3\\\\7=7k\\\\\frac{7=7k}{7}\\\\\boxed{1=k}[/tex]

Hope this helps.

Answer:

K=1

Step-by-step explanation:

So first you would add the K's together.(6k+k=7k)

10=7k+3

Then you would subtract 3 from 3 and 10

7=7k

Divide 7 on both sides

k=1

Hope that helps:)

A circle has equation x2 + y2 = 25
The circle passes through the points A, B, C and D.
Complete the coordinates for A, B, C and D.
A. (5,_)
B.(_,-5).
C. (_,0)
D(0,_)

Answers

Answer: A. (5; 0), B. (0; - 5), C. (-5; 0), D. (0; 5).

Step-by-step explanation:

A. (5; _)   [x = 5; y - ?]

x² + y² = 25

5² + y² = 25

25 + y² = 25

25 + y² - 25 = 25 - 25

y² = 0

y = 0

A. (5; 0)

B. (_; -5)   [x - ?; y = -5]

x² + y² = 25

x² + (- 5)² = 25

x² + 25 = 25

x² + 25 = 25

x² + 25 - 25 = 25 - 25

x² = 0

x = 0

B. (0; - 5)

C. (_; 0)   [x - ?; y = 0]

x² + y² = 25

x² + 0² = 25

x² + 0 = 25

x² = 25

x = ± √25 = ± 5

C. (-5; 0) or (5; 0)

Point A has coordinates (5; 0), which means that

point C has coordinates (-5; 0).

D. (0; _)   [x = 0; y - ?]

x² + y² = 25

0² + y² = 25

0 + y² = 25

y² = 25

y = ± √25 = ± 5

D. (0; - 5) or (0; 5)

Point B has coordinates (0; -5), which means that

point D has coordinates (0; 5).

Graph the solution of this inequality:
350 > 125 + 150
10 20 30 40 50 60 70 80 90 100 110 120
Drag a point to the numb

Answers

Step-by-step explanation:

The given inequality is :

[tex]350\ge 125+15x[/tex] ....(1)

We need to draw graph of this inequality.

Subtract 125 from both sides.

[tex]350-125\ge 125-125+15x\\\\225\ge 15x[/tex]

Dividing 15 to both sides.

[tex]\dfrac{225}{15}\ge \dfrac{15x}{15}\\\\15\ge x[/tex]

Hence, the attached figure shows the graph for this inequality.

Can yiu ANSWER ALL OF THEESE QUESTIONS :
1.Its cost $10.00 for 20 oranges. Is $2.00 per orange accurate?

2.Find the unit rate for 5 cans of chicken soup that cost a total of $2.00.​

Answers

Answer:

yes number one yes the second one 2/5

Step-by-step explanation:

Answer: ok little Timmy

Step-by-step explanation:

1 = yes

2 = 10

an aquarium sells five stuffed animal for 64.95 what is the cost of eight stuffed animal

Answers

Answer: 103.92

Step-by-step explanation:

64.95 / 5 = 12.99 (cost of 1 stuffed animal)

12.99 x 8. = 103.92 (cost of 8 stuffed animals)

I need helppppp with this please

Answers

i need help with that tooooo

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE


SHOW YOUR WORK

Answers

Answer: 38

Step-by-step explanation:

3.8=19/5

u have to flip the reciprocal to divide by fraction so 1/10 will be just 10

Then u get 19/5 x 10

You can reduce the GCF so it would be 19 x 2

19 x 2 = 38

Or you can plug it into your calculator (3.8 x .1)


4 km
3 km
What is the length of the hypotenuse?

Answers

Answer:

5

Step-by-step explanation:

a^2 +b^2 = c^2

4^2 +3^2 =c^2

16 + 9 =c^2

25= c^2

5=c

The University of Central Florida is planning to build a new access ramp for wheelchairs at its education building. The main entrance to the building is 4 feet above the sidewalk level. The angle of elevation from where the ramp and sidewalk would meet is 8.1°. Determine the length of the ramp to the nearest tenth of a foot.

Answers

Answer:

0.6 feet

Step-by-step explanation:

We solve this question using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent.

Where:

Opposite = Height /Length of the ramp = ?

Adjacent = Distance from the base of the ramp = 4 feet

θ = 8.1°

Therefore,

tan 8.1° = x/4

Cross Multiply

x = tan 8.1 × 4

x = 0.5692843028 feet

Approximately = 0.6 feet

Length of the ramp = 0.6 feet.

given g(x) = 1/x+2 and h(x) = 3x
check all restrictions on the domain of gh

Answers

Answer:

Step-by-step explanation:

C

Convert the following repeating decimal to a fraction in simplest form.
.53

Answers

The answer is 8/15. You can break the decimal into two fractions:
0.53 = 1/2 + 1/30. Then combine by making both terms have a denominator of 30, so you get 16/30. The divide numerator and denominator each by 2 to get to 8/15

Solve for x in the following equation
2^(8x-8)=4^7x

Answers

Answer:

-4/3

Step-by-step explanation:

2^(8x-8)=4^7x

2^8x-8=4^7x

2^8x-8=4^2×7x

8x-8=2×7x

8x-8=14x

-8=14x-8x

-8=6x

-8/6=x

-4/3=x

x=-4/3

round to the nearest tenth

Answers

9514 1404 393

Answer:

  21.4  

Step-by-step explanation:

For this problem, you only need to know that the hypotenuse (x) is the longest side of the triangle. The only answer choice longer than 20 is ...

  x = 21.4

__

If you want to actually go through the numbers, you know that ...

  Cos = Adjacent/Hypotenuse

  cos(21°) = 20/x

  x = 20/cos(21°)

  x ≈ 21.4

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