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3 years ago

What is the slope of the line that passes through the points (-2 4) and (8 -1)

Mathematics

2 answers:

Elina [12.6K]3 years ago

7 0

Answer: -2-8= -10

4+1 = 5 (the negative switches to a positive)

Your slope equals -10/5. You can look at this in a fraction for when you might use it later in point slope or slope intercept form, or you can just simplify it to -2. It might also be helpful to remember the numerator as the rise and the denominator as run, or “rise over run” if you need to graph it.

Slope = -10/5 or -2

Step-by-step explanation:

Slope, often referred to as the variable “m” can be found by solving y2-y1/x2-x1. You can do it the opposite way, though make sure the y-values are on the top.

Ahat [919]3 years ago

3 0

Answer:

-5/6

Step-by-step explanation:

-1-4=-5

8-(-2)=-6

the slope is m=-5/6

m=rise/run=y₂-y₁/x₂-x₁

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What is the gcf of 64 and 72?

skad [1K]

A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common.One way to determine the greatest common factor is to find all the factors of the numbers and compare them.
The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
The common factors are 1, 2, 4, and 8. Therefore, the greatest common factor is 8.
The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.
The prime factors of 64 are 2, 2, 2, 2, 2, and 2.
The prime factors of 72 are 2, 2, 2, 3, and 3.
The prime factors in common are 2, 2, and 2, so the greatest common factor is 2 x 2 x 2 = 8.
SummaryA factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common.

Summary:
The common factors of 64 and 72 are 1, 2, 4, and 8.
The greatest common factor of 64 and 72 is 8.

Or in the short term; the answer is 8

8 0

3 years ago

Which is a quadratic function?

yKpoI14uk [10]

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero.

Step-by-step explanation:

6 0

3 years ago

What is the value of x

sattari [20]

Answer: x⁰ = 104⁰

Ok done. Thank to me :>

7 0

3 years ago

Calculate the average rate of change for the function

mezya [45]

$slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2(x-2)^2+1\qquad \begin{cases} x_1=-2\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-2)}{4-(-2)} \\\\\\ \cfrac{[2(4-2)^2+1]~~ - ~~[2(-2-2)^2+1]}{4+2}\implies \cfrac{[9]~~ - ~~[33]}{6}\implies \cfrac{-24}{6}\implies -4$

7 0

3 years ago

The random variable X~(30,2^2) Find p(X<33) Find p(X>26)

Ostrovityanka [42]

Answer:

i) P(X<33) = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

Step(ii):-

Given that the random variable X = 33

$Z = \frac{x-mean}{S.D}$

$Z = \frac{33-30}{2} = 1.5$ >0

P(X<33) = P( Z<1.5)

= 1- P(Z>1.5)

= 1 - ( 0.5 - A(1.5))

= 0.5 + 0.4232

P(X<33) = 0.9232

Step(iii) :-

Given that the random variable X = 26

$Z = \frac{x-mean}{S.D}$

$Z = \frac{33-26}{2} = 3.5$ >0

P(X>26) = P( Z>3.5)

= 0.5 - A(3.5)

= 0.5 - 0.4990

= 0.001

P(X>26) = 0.001

5 0

3 years ago