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
posledela
3 years ago
10

Thank you so much for the answer in advance!

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0
A: 66 b:28 :))) have a good day
You might be interested in
If y varies inversely with x, and y=-5 when x=20, find X when y-4.
larisa [96]

Answer:

x=-25

Step-by-step explanation:

looked it up

4 0
2 years ago
Ali was paid $75 for mowing a neighbor's yard. This is one fourth the amount of money she earned all summer. How much did Ali ea
Ratling [72]

Answer:

75x4=300

Step-by-step explanation:

5 0
2 years ago
Identify the standard form of the equation by completing the square.
OLEGan [10]

Answer:

\dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1

Step-by-step explanation:

<u>Given equation</u>:

4x^2-9y^2-8x+36y-68=0

This is an equation for a horizontal hyperbola.

<u>To complete the square for a hyperbola</u>

Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

\implies 4x^2-8x-9y^2+36y=68

Factor out the coefficient of the x² term and the y² term.

\implies 4(x^2-2x)-9(y^2-4y)=68

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:

\implies 4\left(x^2-2x+\left(\dfrac{-2}{2}\right)^2\right)-9\left(y^2-4y+\left(\dfrac{-4}{2}\right)^2\right)=68+4\left(\dfrac{-2}{2}\right)^2-9\left(\dfrac{-4}{2}\right)^2

\implies 4\left(x^2-2x+1\right)-9\left(y^2-4y+4\right)=36

Factor the two perfect trinomials on the left side:

\implies 4(x-1)^2-9(y-2)^2=36

Divide both sides by the number of the right side so the right side equals 1:

\implies \dfrac{4(x-1)^2}{36}-\dfrac{9(y-2)^2}{36}=\dfrac{36}{36}

Simplify:

\implies \dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1

Therefore, this is the standard equation for a horizontal hyperbola with:

  • center = (1, 2)
  • vertices = (-2, 2) and (4, 2)
  • co-vertices = (1, 0) and (1, 4)
  • \textsf{Asymptotes}: \quad y = -\dfrac{2}{3}x+\dfrac{8}{3} \textsf{ and }y=\dfrac{2}{3}x+\dfrac{4}{3}
  • \textsf{Foci}: \quad  (1-\sqrt{13}, 2) \textsf{ and }(1+\sqrt{13}, 2)

4 0
2 years ago
Find the value of x.
Doss [256]

Answer:

lakvdhsiysvsbs403735gc sbbsvs s bwhchus

8 0
3 years ago
The area of a rectangle is 77 ft2 , and the length of the rectangle is 10 ft less than three times the width. find the dimension
ElenaW [278]

width (w) = w

Length (L) = 3w - 10

Area (A) = L x w

77 = (3w - 10)w

77 = 3w² - 10w

0 = 3w² - 10w - 77

0 = 3w² - 21w + 11w - 77

0 = 3w(w - 7) + 11(w - 7)

0 = (3w + 11)(w - 7)

0 = 3w + 11, 0 = w - 7

w = \frac{-11}{3}, w = 7 (width cannot be negative!)

w = 7

Length (L) = 3w - 10 = 3(7) - 10 = 21 - 10 = 11

Answer: width = 7 ft, Length = 11 ft

8 0
3 years ago
Other questions:
  • The summit of a mountain pass is 8,050 ft above sea level. the valley below is 12 and 1/2 ft below sea level. what is the vertic
    8·1 answer
  • Do the table and graph represent the same function?
    13·1 answer
  • Suppose that an individual has a body fat percentage of 18.9% and weighs 128 pounds. How many pounds of his weight is made up of
    5·1 answer
  • Classify the two given samples as independent or dependent. sample​ 1: the scores of 20 students who took the act sample​ 2: the
    12·1 answer
  • Sara needs to take a taxi to get to the movies. The taxi charges $4.75 for the first mile, and then $2.25 for each mile after th
    8·1 answer
  • What is 32 divided by 6.79
    8·2 answers
  • 2.75j + 2.25 - 1.5j + 3 simplified
    13·2 answers
  • What is the value of h (-2) when h (3) = 32 +1?<br> Enter your answer in the box.<br> h (-2) =
    9·1 answer
  • A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of
    11·1 answer
  • *HELP ASAP*
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!