1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NikAS [45]
11 months ago
10

What is the value of b that makes the lines, given by 3x-y=4 and 2y+4bx=1, perpendicular?

Mathematics
1 answer:
USPshnik [31]11 months ago
6 0

b = 1/6

Explanation:

3x-y=4 ...1st equation

Rewriting in slope- intercept form:

y = 3x - 4

2y+4bx=1

Rewriting in slope- intercept form:

2y = -4bx + 1

y = -4bx/2 + 1/2

Equation of line: y = mx + c

where m = slope, c = intercept

For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the slope of another.

Slope of the 1st equation = 3

m = 3

reciprocal of 3 = 1/3

negative reciprocal of 3 = -1/3

Slope of the 2nd equation = -4b/2

we equate both slope:

negative reciprocal of 3 = -4b/2

-1/3 = -4b/2

cross multiply:

-1(2) = 3(-4b)

-2 = -12b

Divide both sides by -12:

-2/-12 = -12b/-12

b = 1/6

Hence, the value of b that makes the lines perpendicular is 1/6

You might be interested in
Please help me with this problem. Serious people
rjkz [21]
A triangle is the anwser because it is made of many triangles

5 0
3 years ago
What is the value of x? ​
stich3 [128]

Answer:I think the answer is x=25 sorry if im wrong ツ.

Step-by-step explanation:

Hope this helps you out ツ

8 0
2 years ago
Find all the numbers for each shape
irina1246 [14]

Answer:

  • 1 = pentagon
  • 2 = diamond
  • 3 = square
  • 5 = circle
  • 6 = rectangle
  • 7 = oval
  • 8 = triangle
  • 9 = hexagon
  • 10 = trapezoid

Step-by-step explanation:

Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.

The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.

The second vertical from the left is a circle and diamond which will weigh 5+2 = 7. That makes the sum of a pentagon and rectangle also be 7. The 7+7 = 14 below the square on the left branch makes the total of that branch be 14+3 = 17, which is also the sum of the triangle and hexagon.

The weight below the rectangle at top left is 17+17 = 34, and the weight of that entire branch is 40. Thus the rectangle is 40-34 = 6, which makes the pentagon 7-6 = 1.

We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.

The weights are summarized in the answer section, above.

8 0
2 years ago
In the trapezoid ABCD ( AB ∥ CD ) point M∈ AD , so that AM:MD=3:5. Line l ∥ AB and going trough point M intersects diagonal AC a
geniusboy [140]

Answer:

BC:BN=8:3

Step-by-step explanation:

ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.

Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD

But, BC= BN+NC

Therefore, BC:BN=(BN+NC):BN

⇒BC:BN=(3+5):3

⇒BC:BN=8:3


4 0
3 years ago
If v = 6i + 3j, what is ||-10v||
tia_tia [17]

The values of ||-10v|| is 51.96 units

  • Complex numbers are square roots of negative numbers. They are expressions that consist of both the real and imaginary axis.

  • The general form of a complex number is expressed as z = x + iy

Given the complex number v = 6i + 3j,

10v is expressed as 10(6i + 3j)

10(6i + 3j) = 60i + 30j

Take the modulus of the complex number:

|10v|=\sqrt{60^2+30^2}\\|10v|= \sqrt{1800+900}\\|10v|= \sqrt{2700} \\|10v|=51.96units

Hence the values of ||-10v|| is 51.96 units

Learn more on the complex numbers here: brainly.com/question/10662770

6 0
2 years ago
Other questions:
  • Simplify the ratio 10 to 22
    7·1 answer
  • Frank deposited $100 into an account that earns 4% interest which is compounded 4 times per year how much will frank have in his
    15·2 answers
  • A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1500 feet, what are the dimensions of
    8·1 answer
  • Slope 6; through (0,4)
    7·1 answer
  • Ratio 7:5 large to small stickers. How many large if the total is 96?
    6·1 answer
  • Please guys help. Thank you​
    12·1 answer
  • Does 1/2^3 equal to 2^-3<br><br> HURRY PLEASE
    11·1 answer
  • Write a fraction that has
    14·1 answer
  • Help please !!!!!!!!!!!!!!
    12·1 answer
  • Based on the number of sides in a pentagon, how many events do you think make up an athletic event called pentathlon
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!