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
natulia [17]
3 years ago
15

Hello I don’t understand question 9 a and b. Please show working out. Thanks

Mathematics
1 answer:
brilliants [131]3 years ago
3 0
A) I would make the positive integer x and then form an equation.

x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6

Since the question asks for a positive integer the answer is 7.

B) two positive numbers x and y.

X - y = 3
x^2 + y^2 = 117

Use these simultaneous equations to figure out each number.

Rearrange the first equation

x = y + 3

Then substitute it into the second equation.

(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)

This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.

Use y to find x

x = y + 3
x = 6 + 3
x = 9

So the answers are x = 9 and y = 6.
You might be interested in
Construct an accurate copy of triangle DEF. Check that EF = 4.6 cm. ​
garri49 [273]

Answer:

Angles on a straight line add up to 180°

Therefore, the interior angle D of the triangle = 180 - 150 = 30°

Draw a horizontal line of 8 cm - label DE.

Measure an angle of 30° from point D and draw a line.

Measure an angle of 90° from point E and draw a line.

These 2 lines will intersect at point F.

Erase the part of the lines that extend past the point of intersection.

7 0
2 years ago
Math expert simplify This thanks you
denis23 [38]

Answer:

q - 2

Step-by-step explanation:

=)

7 0
2 years ago
Determine a series of transformations that would map polygon ABCDE onto polygon<br> A'B'C'D'E?
Dimas [21]

Step-by-step explanation:

A reflection followed by a translation

7 0
2 years ago
Plz answer I need help
pickupchik [31]

Answer:

2,535

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How can i write 55% as a fraction in simplest
ollegr [7]
You can write it by putting 55 over 100 and simplify then you get an answer of 11 over 20.
5 0
3 years ago
Other questions:
  • Four people are painting a house. Zachary paints 1/5 of the house, Alyssa paints 33% of the house, Chloe paints 0.3 of the house
    13·2 answers
  • I need help am confused
    9·2 answers
  • What is the value of each number in 1,567.209?
    6·2 answers
  • Amy and Fraser walk inside a circular lawn. Point O is the center of the lawn, as shown below: Four points A, B, C and D are sho
    13·2 answers
  • Graph ​ h(x)=(x−2)(x−4) ​. Use the parabola tool then choose the vertex followed by one point on the parabola.
    7·1 answer
  • Solve the equation by using the Square Root Property.<br><br><br><br> 16x2 + 16x + 4 = 81
    8·1 answer
  • What is the algebraic expression for the following word phrase the quotient of 3 and z
    9·2 answers
  • Suppose v varies directly as g,and v = 36 when g = 4.Find v when g = 11.
    12·1 answer
  • 10. To get from point A to point B you must avoid walking through a pond. To
    11·1 answer
  • What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!