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
What is the mean of this data set? 8, 47, 13, 17, 26, 32
sleet_krkn [62]
The sum of your data set is 23.8333333333.All you have to do is add them all together and then divide by 6, which is the number of numbers there are.

8+13+17+26+32+47=143
143/6+23.8333333333
7 0
4 years ago
Read 2 more answers
(7.02) classify each sequence as arithmetic, geometric, or neither.
Digiron [165]

Answer:

geometric

arithmetic

arithmetic

Step-by-step explanation:

1.

4/9,4/3,4,12,36

Multiply each term by 3 to get the next term. There is a common ratio between terms, so it geometric.

2.

0,1,2,3,4,5,6

Add 1 to each term to get the next term. Since there is a common difference between terms, it is an arithmetic sequence.

3.

-10,-6,-2,2,6,10

Add 4 to each term to get the next term. Since there is a common difference between terms, it is an arithmetic sequence.

6 0
3 years ago
4. Given directed line segment CD, if point E divides CD three-fourths of the way from C to D, find the coordinates of E, then p
cricket20 [7]

Answer:

Point E is given by \left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

Step-by-step explanation:

Let points C and D be (x_0,y_0),\,(x_1,y_1) and let point E divides it in ratio m:n.

Then coordinates of point E are given by \left ( \frac{mx_1+nx_0}{m+n},\frac{my_1+ny_0}{m+n} \right )

Put m:n=3:4

Point E is given by \left ( \frac{3mx_1+4x_0}{3+4},\frac{3y_1+4y_0}{3+4} \right )=\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

Now plot point E.

Download pptx
3 0
4 years ago
What is the solution to -1 - 7
mixas84 [53]

Answer:

-8

Step-by-step explanation:

start at -1, move 7 more spots left you get to -8

please hit the heart button :)

8 0
3 years ago
Read 2 more answers
How are improper fractions and mixed numbers different from proper fractions?
madreJ [45]
Improper fractions and mixed numbers are always greater than or equal to 1, while proper fractions are less than 1 and greater than 0. Improper fractions have a numerator that's bigger than it's denominator, while proper fractions have a numerator that's smaller than it's denominator.
4 0
3 years ago
Other questions:
  • Find the GCF of these two plz help
    11·1 answer
  • Wich number does not represent a whole number
    5·1 answer
  • A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 11 ​minutes, and the
    9·1 answer
  • What is the Ratio of 19 to 38 in a fraction notation
    7·2 answers
  • What value is added to both sides of the equation x2 - 8x = -10 in order to solve by completing the square?
    11·1 answer
  • In a simple machine, how much work is done when an input of 10 n acts over a distance of 5 m?
    8·1 answer
  • A pattern starts at 3 and follows the rule 5
    6·1 answer
  • Which equation matches: what number is 10% of 20?
    12·1 answer
  • What is the area of the rectangle at right? Show your work (+2 points)<br> 12<br> 14<br> 14<br> 12
    13·2 answers
  • You decided to join a fantasy Baseball league and you think the best way to pick your players is to look at their Batting Averag
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!