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Degger [83]
2 years ago
12

Find the slope of the graphed line.

Mathematics
1 answer:
gayaneshka [121]2 years ago
5 0

Answer:

3/4 shall be our slope.

Step-by-step explanation:

You can solve the slope by doing this formula y₂ - y₁ / x₂ - x₁ = slope.

Your coordinates:

(-4,0) and (0,3)

You have to set up your formula:

3 is the y2 and 0 is the y1

3-0 for y so far.


Now, set up the x's

0 is our x2 more known as our second x

Then our x1 is -4

0 - (-4).

Our Formula:

3-0 / 0+4

**Notice the negatives canceled to a positive due to the rule.**

3/4 shall be our slope.

You could've also risen and run starting from (-4,0) to (0,3) to get a slope of 3/4.

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Solve for x I need help on questions 5 & 6
Effectus [21]

Answer:

#5 x=8, #6 x=5

Step-by-step explanation:

Theyre vertical so for number 5 you would have the equation

5x+15=55

    -15   -15 from both sides

5x=40

divide by 5 from both sides and you get

x=8

Same thing vertical so you would have  

16x+7=87

    -7    -7 from both sides

16x=80

divide by 16 from both sides

x=5

3 0
3 years ago
Exact value of the function for the given x-value f(x) = 5x for x = -1
fgiga [73]
-5, because when plugging the -1 in for x then multiplying it by 5, you get -5
3 0
3 years ago
The equation 4x2 – 24x + 4y2 + 72y = 76 is equivalent to
DerKrebs [107]

Answer:

Option 4 is correct.

The equation 4x^2 -24x + 4y^2 + 72y = 76 is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

Step-by-step explanation:'

Given equation: 4x^2 -24x + 4y^2 + 72y = 76

First group the terms with x and those with y;

(4x^2-24x)+(4y^2+72y) = 76

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

⇒4(x^2-6x) +4(y+18y) = 76

or

4(x^2 -6x +3^2 -3^2) + 4(y^2 +18y +9^2 -9^2) = 76

4(x^2-6x + 3^2) - 36 + 4(y^2+18y +9^2) - 324 = 76

4(x-3)^2 + 4(y+9)^2 - 360 =76

Add 360 on both sides we get;

4(x-3)^2 + 4(y+9)^2 =360 +76

Simplify:

4(x-3)^2 + 4(y+9)^2 =436

Therefore, the given equation is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

5 0
3 years ago
Poisson Distribution LEARNING OBJECTIVE: Calculate the probability of a poisson distribution. 3.00 The average number of bridge
ira [324]

Answer:

the required probability is 0.09

Option  a) 0.09 is the correct Answer.

Step-by-step explanation:

Given that;

mean μ  = 7  

x = 4

the probability of exactly 4 bridge construction projects taking place at one time in this state = ?

Using the Poisson probability formula;

P( X=x ) = ( e^-μ × u^x) / x!

we substitute

P(X = 4) = (e⁻⁷ × 7⁴) / 4!

= 2.1894 / 24

= 0.0875 ≈ 0.09

Therefore the required probability is 0.09

Option  a) 0.09 is the correct Answer.

5 0
2 years ago
A city with a population of 700,000 has been growing at a rate of 2% per year. If this rate continues, what would the population
Mars2501 [29]

Answer:

450,900

Step-by-step explanation:

ok

3 0
2 years ago
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