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
zhuklara [117]
3 years ago
15

The difference of the square of a number and 8 is equal to 7 times that number. Find the positive solution.

Mathematics
1 answer:
postnew [5]3 years ago
7 0

Answer:

Correct answer:  x₁ = 8

Step-by-step explanation:

Given equation is:

x² - 8 = 7x  ⇒ x² - 7x - 8 = 0 ⇒ x² - 8x + x - 8 = 0 ⇒ x ·(x - 8) + (x - 8) = 0

(x - 8) · (x + 1) = 0 ⇒ x₁ = 8 or x₂ = -1  

we accept a positive solution

x₁ = 8

God is with you!!!

You might be interested in
to make 2 batches of nut bars, Jayda needs to use 4 eggs. how many eggs are used in each batch of nut bars?
maxonik [38]
2 eggs are needed because if you need 4 to make 2 batches, you have to divide 4 by 2. 
5 0
3 years ago
Read 2 more answers
-12.25 in simplest form
Finger [1]
-12.25 in simlplest form is -12/25 it cannot be simplified anymore
6 0
3 years ago
if you and a friend collect 180 cans and the ratio of what you both collected was 4 to 5 how many did you collect?
valentinak56 [21]
You collected 80 cans while your friend collected 100<span />
4 0
3 years ago
10. Error Analysis A student draws a triangle with a perimeter 36 cm. The
Tasya [4]

Answer:

see the explanation

Step-by-step explanation:

we know that

The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

In this problem

If the perimeter of triangle is equal to 36 cm

The longest side can't be equal to 18 cm

The student is incorrect

Because if the longest side is equal to 18 cm, and the perimeter is equal to 36 cm, then the sum of the other two sides is equal to 18 cm

and

Applying the triangle inequality theorem

Let

c  -----> the longest side

a and b the other two sides

we have that

if c=18 cm

a+b > c

a+b > 18 cm

therefore

If the longest side is 18 cm, the sum of the other two sides must be greater than 18 cm and the perimeter will be greater than 36 cm

4 0
3 years ago
What is the value of x in the diagram below? 2 right triangles are stacked. The bottom triangle has a side length of 9 units and
ehidna [41]

Answer:

18 sqrt2/ sqrt3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • A sample of 100 information systems managers had an average hourly income of $40.00 with a standard deviation of $8.00. If we wa
    7·1 answer
  • What is the discriminant of f(x)=-3x^2-2x-1
    5·1 answer
  • A group of 4 friends went to lunch and spent a total of $40, which included the $34 food bill and the tip. They decided to split
    6·2 answers
  • Anita and Tionna were both driving the same route from college to their hometown.
    6·1 answer
  • Find the solución to the System of equations x+3y=7 and 2x+4y=8​
    11·1 answer
  • The lines on a 2 cup liquid measuring cup divide each cup into eighths. If you measure 1 cups of water, between
    15·2 answers
  • 3(x - 5) = 6 solve the equation
    9·2 answers
  • From home to school, Armen spent 36 minutes walking at a speed of 70 yards per minute. What was his speed, if he spent 8 minutes
    5·1 answer
  • What is the value of a2+c•(2+b)<br><br> when a =3 , b=6 and c=5
    6·2 answers
  • Please explain how to do the equation to get 10 units.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!