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
GarryVolchara [31]
3 years ago
10

The product of 2 numbers is -24 and their sum is -5. What are the two numbers and why are they the two numbers?

Mathematics
1 answer:
lana [24]3 years ago
6 0

The numbers are (-8, 3) or (3, -8).

Step-by-step explanation:

  • Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.

⇒ a + b = -5 ⇒ b = -5 - a

⇒ a × b = -24 -------- (1)

  • Step 2: Substitute the value of b in eq(1)

⇒ a × (-5 - a) = - 24

⇒ -5a - a² = -24

⇒ a² + 5a - 24 = 0

  • Step 3: Solve the quadratic equation for a.

a = (-5 ± √25 - 4 × 1 × -24)/2

  = (-5 ± √121)/2

  = - 16/2, 6/2 = -8 or 3

  • Step 4: For each value of a, find b.

When a = -8, b = -5 +8 = 3

When a = 3, b = -5 - 3 = -8.

You might be interested in
3. Fine the value of x. <br> A) 3.5<br> B)7<br> C) 5<br> D)10
Rom4ik [11]

Answer:

I would say B

Step-by-step explanation:

I think

5 0
3 years ago
Read 2 more answers
If angle ABD is 90 degrees. Select all of the angles that measure 42 degrees.
m_a_m_a [10]

Answer:

Measure of angle 2 and angle 4 is 42°.

Step-by-step explanation:

From the figure attached,

m∠ABC = 42°

m(∠ABD) = 90°

m(∠ABD) = m(∠ABC) + m(∠DBC)

90° = 43° + m(∠DBC)

m(∠DBC) = 90 - 43 = 47°

Since ∠ABC ≅ ∠4 [Vertical angles]

m∠ABC = m∠4 = 42°

Since, m∠3 + m∠4 = 90° [Complimentary angles]

m∠3 + 42° = 90°

m∠3 = 90° - 42°

        = 48°

Since, ∠5 ≅ ∠3 [Vertical angles]

m∠5 = m∠3 = 48°

m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]

m∠2 + 48° = 90°

m∠2 = 90 - 48 = 42°

m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]

48° + m∠4 = 90°

m∠4 = 90 - 48 = 42°

Therefore, ∠2 and ∠4 measure 42°.

5 0
3 years ago
the price of milk found by dividing its cost in cents by its volume in gallon. what are the units in words?
Flura [38]

Answer:

gallons and cents

Step-by-step explanation:

These are the things you can basically measure.

6 0
3 years ago
Read 2 more answers
7.5% of the grade has green eyes if there are 120 students in the grade how many dont have green eyes​
GREYUIT [131]

Answer:

Step-by-step explanation:

If 7.5 % has green eyes, then 92.5% (the complement given by 100%-7.5%)  dont have green eyes. 92.5% of 120 is given by

0.925*(120)=111

111 students in the grade dont have green eyes.  

8 0
3 years ago
Solve the following inequality for x, then describe what the graph would look like.
Alex17521 [72]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:  

x≤−3

Interval Notation: ( − ∞ , − 3 ]

4 0
3 years ago
Other questions:
  • What is the solution to the equation?
    13·2 answers
  • The price of 1 lb of potatoes is $ 1.65. if all the potatoes sold today at the store bring in $ 1220, how many kilograms of pota
    13·1 answer
  • Which equation can be used to represent the statement?
    9·1 answer
  • Help please with this problem
    11·1 answer
  • What is the length of AC?
    13·2 answers
  • If the scale factor is 5, how many times larger will the scaled copy's area be?
    5·1 answer
  • I need help is it $2.50?
    5·2 answers
  • How many ways are
    10·1 answer
  • Which shows the dilation with a possible scale factor of One-half?
    12·2 answers
  • Can anyone please help me really struggling
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!