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
Xelga [282]
3 years ago
9

The points (-9, -10) and (-2,-5) form a proportional relationship. Find the slope of the

Mathematics
1 answer:
kondaur [170]3 years ago
8 0

Answer:

m=\frac{5}{7}

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-9, -10)

Point (-2, -5)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{-5+10}{-2+9}
  2. Add:                              m=\frac{5}{7}

And we have our final answer!

You might be interested in
Kyra has a rock collection. When she puts her rocks into 2 equal plies, there are no rocks left over. When she puts her rocks in
Nat2105 [25]

Step-by-step explanation:

According to this description we need a number that can be divided by 2,3 and 4 since the amount of rocks can be described by a natural number. However if a number is divided by 4 it is divided by 2 as well since 2*2=4.

\frac{x}{4}  =  \alpha  \\  \frac{x}{2}  = 2 \alpha

If α is a natural number then 2*α is a natural number as well as the product of two natural numbers.

Which means that we need a number devided by 3 and 4.

The smallest number that fulfills this demand is 3*4=12.

Also any product of 12 with any natural number can be devided by 3, 4 and 2.

If the exercise asks for the numbers that are divided only by 2,3 and 4 these are:

{3}^{ \alpha }  \times 12 \: and \:  {4}^{ \alpha }  \times 12 \:  \\ where \:  \alpha  \: belongs \: to \: the \: set \: of \: all \: \\ natural \: numbers

8 0
3 years ago
Name the binomial you can multiply by (x + 9) to get the product x^2 + 5x- 36
SpyIntel [72]
If you would like to solve (x^2 + 5x - 36) / (x + 9), you can do this using the following steps:

a = ?
(x + 9) * (x + a) = <span>(x^2 + 5x - 36)
x^2 + ax + 9x + 9a = x^2 + 5x - 36
ax + 9x = 5x
a + 9 = 5
a = 5 - 9 
a = - 4

The correct result would be x - 4.
</span>
5 0
3 years ago
A kid traveled a distance of 9 km by bike, and then walked a distance of km.
vichka [17]

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question;

A kid traveled a distance of 9 km by bike, and then walked a distance of x km.

a.Find the total distance traveled in terms of  x

b. If the total distance was less than 30 km, form an inequality in x, and

then solve it!

a) Total distance = distance travelled by bike + distance walked

Total distance = 9km + xkm

Total distance = (9+x)km

b)  If the total distance was less than 30 km, the inequality representing this is;

9+x < 30

Subtract 9 from both sides;

9+x-9 < 30-9

x < 21

hence the solution to the inequality is x< 21

3 0
3 years ago
ted runs two-thirds as fast as frank. in 2hr frank runs 8mi farther than ted. how fast does each run?
charle [14.2K]

Answer:

In 2 hr Frank runs 8 mi farther than Ted

Step-by-step explanation:

7 0
3 years ago
Use a graphing calculator and a system of equations to find the roots of the equation. x4 − 4x3 = 6x2 − 12x From least to greate
iren [92.7K]

Answer:

The roots are -2 , 0 , (3 - √3) , (3 + √3)

The integral roots are -2 , 0

Step-by-step explanation:

∵ x^4 - 4x³ = 6x² - 12x

∴ x^4 - 4x³ - 6x² + 12x = 0

∴ x(x³ - 4x² - 6x + 12) = 0

∴ x = 0

∴ x³ - 4x² - 6x + 12 = 0

∵ f(-2) = (-2)³ - 4(-2)² - 6(-2) + 12 = -8 - 16 + 12 + 12 = 0

∴ (x + 2) is a factor of the equation x³ - 4x² - 6x + 12 = 0

∴ (x³ - 4x² - 6x + 12) ÷ (x + 2) = (x² - 6x + 6)(x + 2)

∴ (x² - 6x + 6)(x + 2) = 0

∴ x + 2 = 0 ⇒ ∴ x = -2

∴ x² - 6x + 6 = 0 ⇒ quadratic equation (ax² + bx + c = 0)

∵ a = 1 , b = -6 , c = 6

∵ x=\frac{-b+\sqrt{b^{2}-4ac}}{2a}=\frac{6+\sqrt{36-24}}{2}=\frac{6+2\sqrt{3}}{2}=3+\sqrt{3}

∴ x = 3 + √3 and x = 3 - √3

∴ The roots are -2 , 0 , (3 - √3) , (3 + √3)

6 0
3 years ago
Read 2 more answers
Other questions:
  • An investment grows by 22% over a 5 year period. What is its effective annual percent growth rate
    8·1 answer
  • In a square,the sum of the length of three sides is 48 and in a rectangle the difference between a length and width is 7 in if a
    10·1 answer
  • If every 3 hours John walked 8 miles. How many miles did John walk in 1 hour
    11·2 answers
  • How to write 10.7 in written form
    11·1 answer
  • Find the values of A B C AND D of <br> 4x^2 (2x^3+5x)= Ax^B +Cx^D
    5·1 answer
  • Need help with this question, please help!
    7·1 answer
  • PLEASE HELP !!
    9·1 answer
  • PLEASE HELP 5 POINTS
    10·1 answer
  • 5/8 + 3/6 SOMEONE PLS HELP MEEEE.​
    9·1 answer
  • Na casa de Isabel, a leitura do hidrômetro, feita no dia 20 de março, indicava 2431 metros cúbicos. Uma nova leitura, feita um m
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!