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Vikentia [17]
3 years ago
9

What is the slope of the line that passes through the points (1, -2) and (3, -5)?

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Slope of the line is -3/2

Step-by-step explanation:

  • Step 1: Given points are (1, -2) and (3, -5)
  • Step 2: Equation for slope, m = (y2 - y1)/(x2 - x1)

⇒ m = (-5 - -2)/(3 - 1) = -3/2

You might be interested in
Subtract the fraction write your answer in simplest form 6/8 - 3/10
jok3333 [9.3K]

Answer:

9/10 or 0.45 in decimal form

Step-by-step explanation:

4 0
3 years ago
HELP PLEASE determine the number of real number solutions for the equation x^2+6x+9=0​
brilliants [131]

Answer:

1 Answer->3

Step-by-step explanation:

To factor this out find the factors of 9 which add up to 6.

3 and 3 work therefore factor it out to

(x+3)(x+3)=0

Using Zero product property x is equal to -3

And there is only one answer which is 3

6 0
1 year ago
What is the value of x?
Nikolay [14]
Answer: 7 centimeters 

Explanation:

Let triangle ABC and triangle CDE form a bow tie such that 
     - triangle ABC is smaller than triangle CDE
     - Segment AC and segment CD are the north sides
     - Segment BC and segment CE are the bottom sides
     - AC = 6, CD = 42, CE = 36, BC = x

Since angle ACB and angle ECD are formed by intersecting segment AE and segment BD at point C, they are vertical angles. (See the attached picture) So, angle ACB and angle ECD are congruent. 

Moreover when we form our bowtie, point A is in the north side and point E is in the bottom sides and this implies that angle BAC and angle CED are alternate interior angles as shown in the attached figure. 

Since it is given in the problem that alternating interior angle are congruent, angle BAC and angle CED are congruent. 

Now, we have the following pairs of angles in triangle ABC and triangle CDE that are congruent:

- angle BAC and angle CED
- angle ACB and angle ECD

By AA Similarity theorem, when we have two pairs of congruent angles for two triangles, then the two triangles are similar. So, triangle ABC and triangle CDE are similar.

In similar triangles, the sides that are opposite to the congruent angles are proportional to each other. So, 

\frac{BC}{CD}  =  \frac{AC}{CE} 


    (1)

Since AC = 6, CD = 42, CE = 36, BC = x, we can substitute these values to equation (1). So, equation (1) becomes

\frac{x}{42} = \frac{6}{36}
\frac{x}{42} = \frac{1}{6}  (2)

SInce we are solving for x, we can multiply both sides of equation (2) by the denominator at the left side which is 42 so that

x = 42(1/6)
x = 7 centimeters

8 0
2 years ago
PLEASE HELP ME ON THIS!!!!
exis [7]
The last two choices are appropriate.

Both give you f(1) = 7, f(2) = 9.50, f(3) = 12.00, ... as they should.
7 0
3 years ago
Find the midpoint of segment with the following endpoint (2,3) and (-5,-2)
RideAnS [48]

Answer:

(-1.5,0.5)

Step-by-step explanation:

In the attached file

8 0
3 years ago
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