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Alex787 [66]
3 years ago
12

A line contains the points ( - 2, – 8) and (3,5). What is the slope of the line?

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
8 0

Answer:

13/5

Step-by-step explanation:

Marina CMI [18]3 years ago
4 0
The answer to the question is 13/5.
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Decide if each of the triangles is a right triangle. The figures are r
aivan3 [116]

Answer:

A

Step-by-step explanation:

It shows no right angels

6 0
2 years ago
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Select the correct answer Consider functions p and q. p(x) = log₂ (x - 1) g(x) = 2^x - 1 Which statement is true about these fun
goldenfox [79]

The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.

<h3>What can we say about the x-intercepts of the given functions?</h3>

For a function f(x), the x-intercept is the value of x such that:

f(x) = 0.

Here we have:

p(x) = log₂(x - 1)

Remember that:

logₙ(1)  = 0

For any base n, then the x-intercept of p(x) is x = 2, because:

p(2) = log₂(2 - 1) = log₂(1) = 0.

The other function is:

g(x) = 2ˣ - 1

Remember that any number to the power of zero is equal to 1, then:

g(0) = 2⁰ - 1 = 1 - 1 = 0

The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.

If you want to learn more about x-intercepts:

brainly.com/question/3951754

#SPJ1

8 0
2 years ago
I'm horrible at this so can I please get help, the rest says "solve for a. a=
Inessa05 [86]

Answer:

a = \sqrt{63}

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

a² + 9² = 12²

a² + 81 = 144 ( subtract 81 from both sides )

a² = 63 ( take square root of both sides )

a = \sqrt{63}

8 0
2 years ago
The population of cats in a rural neighborhood has declined in the last year by roughly 30%. Residents hypothesize that this is
zvonat [6]

Answer:

Orinal number of cats=  171

Step-by-step explanation:

Giving the following information:

Decrease in population= 30%

Current population= 120

<u>To calculate the original number of cats, we need to use the following formula:</u>

Orinal number of cats= current population / (1 - decrease)

Orinal number of cats= 120 / (1 - 0.3)

Orinal number of cats=  171

8 0
2 years ago
64 POINTS AWARDED, PLEASE ANSWER ASAP!!!!!
antoniya [11.8K]

Answer:

Area of rectangle = 40 square units

Step-by-step explanation:

<u>Points to remember</u>

<u>Distance formula</u>

Length of a line segment with end points (x₁, y₁) and (x₂, y₂) is given by,

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Area of rectangle = Length * Breadth

<u>To find the length and breadth</u>

Here a rectangle with vertices at (7, 3), (12, 3), (12, 11), and (7, 11)

Length1 =  √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 7)² + (3 - 3)²] = √5² = 5

Length2 =  √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 12)² + (11 - 3)²] = √8² = 8 units

Therefore Length of rectangle = 8 and  

Breadth of rectangle = 5 units

<u>To find the area of rectangle</u>

Area = Length * Breadth

  = 8 * 5 =  40 square units

8 0
3 years ago
Read 2 more answers
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