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3 years ago

Explain the slope rules I need them for my notes. many thanks <3

Mathematics

1 answer:

MrMuchimi3 years ago

8 0

Answer:

Rules for Calculating the Slope of Line

Find two points on the line. Count the rise (How many units do you count up or down to get from one point to the next?) Record this number as your numerator. Count the run (How many units do you count left or right to get to the point?)

Step-by-step explanation:

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What is the radius of a circle whose equation is (x + - 5)2 + (y - 3)2 = 42?

Yuki888 [10]

Answer:

Step-by-step explanation:

The equation of the form

$(x-a)^2+(y-b)^2 =r^2$

has radius r.

Now your equation is

$(x-5)^2+(y-3)^2=42$

Hence its radius is $\sqrt{42}$

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3 years ago

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3 years ago

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Graph each absolute value function. State the domain, range, and y-intercept.

Paraphin [41]

Answer:

i)D: $x\in R$

ii)R: $y\ge-3$

iii) Y-int:(0,-1)

Step-by-step explanation:

i) The given absolute value function is;

$f(x)=|x+2|-3$ .

The absolute value function is defined for all real values of x.

The domain is all real numbers.

ii) The range is all y-values that will make x defined.

The given function,

$f(x)=|x+2|-3$ .

has vertex at, (-2,-3) and opens upwards.

This implies that, the minimum y-value is -3.

The range is $y\ge-3$

iii) To find the y-intercept substitute x=0 in to the function.

$f(0)=|0+2|-3$ .

$f(0)=|2|-3$ .

$f(0)=2-3$ .

$f(0)=-1$ .

The y-intercept is (0,-1)

See attachment for graph.

6 0

4 years ago

The sum of 5 consecutive even numbers is 216. What is the third number in the sequence

alexandr1967 [171]

Hello from MrBillDoesMath!

Answer: NO solution possible!

Steps:

Let "n" be the first even number. We are told that

n + (n+2) + (n+4) + (n+6) + (n +8) = 216

The third number, the value we want, is boldfaced above.

Simplify the above equation:

5n + ( 2 + 4 + 6 + 8 ) = 216 or

5n + 20 = 216 or

5n = 196

n = 196/5 is NOT an integer value. This problem, as stated, has no solution.

Regards, MrB

4 0

4 years ago

What does the C equal to in -1/6 +7/6 = c

STALIN [3.7K]

Answer:

c = 1

Step-by-step explanation:

we have -1/6 + 7/6

since 6 is a common denominator we can do

$\frac{-1}{6} +\frac{7}{6} = c\\\frac{-1+7}{6} = c\\\frac{6}{6} = c\\1 = c\\c = 1$

6 0

3 years ago