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
Maru [420]
3 years ago
5

A^2-36=5a A. {4,-9} B. {5+√61/2, 5-√61/2} C. No solution D. {9,-4}

Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0

Answer:

D

Step-by-step explanation:

Given

a² - 36 = 5a ( subtract 5a from both sides )

a² - 5a - 36 = 0

Consider the factors of the constant term (- 36) which sum to give the coefficient of the a- term (- 5)

The factors are - 9 and + 4 , since

- 9 × + 4 = - 36 and - 9 + 4 = - 5 , then

(a - 9)(a + 4) = 0 ← in factored form

Equate each factor to zero and solve for a

a - 9 = 0 ⇒ a = 9

a + 4 = 0 ⇒ a = - 4

solution is { - 9, 4 } → D

You might be interested in
List all the points that are on the same plane as point V
topjm [15]
I believe the points should be as follows : X, S, Y, and U.
3 0
3 years ago
Each marble bag sold by Kaitlin's Marble Company contains 5 blue marbles for every 4 orange marbles. If a bag has 28 orange marb
Artyom0805 [142]

Answer:

35

Step-by-step explanation:

28 Orange Marbles divided by 4 Orange Marbles =

7

5 Blue Marbles for every 7 Orange Marbles =

35

3 0
2 years ago
What is the formula for the following arithmetic sequence?
vlabodo [156]

a_{n} = 12 + (- 6)(n - 1 )

This is an arithmetic sequence with n th term

a_{n} = a_{1} + (n - 1)d

here d = - 6 - 0 = 0 - 6 = 6 - 12 = -6 and a_{1} = 12, hence

a_{n} = 12 + (- 6)(n - 1)

use this formula to find the 30 th term

a_{30} = 12 + (- 6 × 29) = 12 - 174 = - 162



4 0
4 years ago
Of the students in ms. dancer's class, 6 walk to school. this represents 30% of her students. how many students are in ms. dance
Alexandra [31]
\frac{30}{100}x=6
x is the number of students in the class in total
30x=600
x=20
6 0
3 years ago
BRAINLIEST!!!!
valkas [14]

The trigonometric function gives the ratio of different sides of a right-angle triangle. The area of the triangle is 55.4256 ft².

<h3>What are Trigonometric functions?</h3>

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

For the given triangle the length of AB and BC can be written as,

\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Sin(30^o) = \dfrac{AB}{AC}\\\\\\AB = Sin(30^o) \times 16 \\\\\\AB=8\rm\ ft

Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Cos(30^o) = \dfrac{BC}{AC}\\\\\\BC = Cos(30^o) \times AC\\\\\\BC = 13.8564\rm\ ft

Now, the area of the triangle is,

Area of triangle = 0.5× 8 × 13.8564 = 55.4256 ft²

Hence, the area of the triangle is 55.4256 ft².

Learn more about Trigonometric functions:

brainly.com/question/6904750

#SPJ1

5 0
3 years ago
Other questions:
  • Gita has between 40 and 50 circles.
    12·1 answer
  • Mark wants to paint a mural he has one and 1/3 gallon of yellow paint and 1 1/4 gallons of green paint and seven eights gallon o
    9·1 answer
  • Suppose that the weights of 5400 Labrador retrievers in the US is distributed normally with a mean of 62.5lb and a standard devi
    8·1 answer
  • How do you do this question?
    6·1 answer
  • bottles of water sell for $1.50 each. Graph the relationship between the number of bottles of water sold and the total cost.
    9·2 answers
  • What two numbers multiply to get -10 and add to get 9 ​
    14·1 answer
  • How many times can 22 go into our 198
    8·2 answers
  • -4/5 + 1/2m = -1/5<br> Can someone plz tell me answer?
    9·1 answer
  • 2900 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 13 years, to the
    11·1 answer
  • Sharon is filling a pool that holds 13 1/2 gallons for her little brother. She can carry 1 8/8 gallons of water each trip. Write
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!