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2 years ago

What is the slope of the line that passes through the points (2, 3) and (6, 8)?

Mathematics

2 answers:

Nimfa-mama [501]2 years ago

7 0

Answer:

$s = y2 - y1 \div x2 - x1 \\ (8 - 3) \div (6 - 2) \\ 5 \div 4$

5÷4=1.25

Blizzard [7]2 years ago

7 0

Answer:

1.25

Step-by-step explanation:

slope = y2 - y1

-----------

x2 - x1

8 - 3

‐------

6 - 2

5/4

1.25

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Which of the following is the radical expression of a to the four ninths power ?

LuckyWell [14K]

Given expression in exponential form : $a^{\frac{4}{9} }$ .

We need to convert it into radical form.

Please note: When we convert an exponential to radical form, the top number goes in the exponent of the term and bottom number of the fraction goes in the radical sign to make it nth radical.

We can apply following rule:

$(a)^{\frac{m}{n}}= \sqrt[n]{x^m}$ .

Therefore,

$a^{\frac{4}{9} }= \sqrt[9]{a^4}$ .

Therefore, correct option is : D. ninth root of a to the fourth power.

6 0

3 years ago

If m \angle∠ 13 = 59°, find the measure of \angle∠ 8.

Sophie [7]

Answer:

Step-by-step explanation:

alternate interior angles are congruent

6 0

2 years ago

John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages

oksano4ka [1.4K]

Answer:

John’s age is 8 years

Step-by-step explanation:

Let

x -----> John’s father's age

y -----> John’s age

z -----> John’s sister's age

we know that

$x=5y$ -----> equation A

$y=2z$

$z=y/2$ -----> equation B

$(x+2)+(y+2)+(z+2)=58$

$x+y+z+6=58$

$x+y+z=52$ -----> equation C

Substitute equation A and equation B in equation C and solve for y

$5y+y+y/2=52$

Multiply by 2 both sides to remove the fraction

$10y+2y+y=104$

$13y=104$

$y=8$

Find the value of x

$x=5(8)=40$

Find the value of z

$z=8/2=4$

therefore

John’s father's age is 40 years

John’s age is 8 years

John’s sister's age is 4 years

7 0

3 years ago

According to the MIT Airline Data Project, American Airlines controlled 15.5% of the domestic market during a recent year. A ran

Naya [18.7K]

Answer:

0.0143

Step-by-step explanation:

In this question, we are asked to use the binomial distribution to calculate the probability that 10 or fewer passengers from a sample of MIT data project sample were on American airline flights.

We proceed as follows;

The probability that a passenger was an American flight is 15.5%= 15.55/100 = 0.155

Let’s call this probability p

The probability that he/she isn’t on the flight, let’s call this q

q =1 - p= 0.845

Sample size, n = 155

P(X < A) = P(Z < (A - mean)/standard deviation)

Mean = np

= 125 x 0.155

= 19.375

Standard deviation = √npq

= √ (125 x 0.155x 0.845)