All categories

3 years ago

What is the slope formula of (-9,15) and (-9,-8) ?

Mathematics

1 answer:

skad [1K]3 years ago

5 0

Answer:

m = undefined

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (-9, 15)

Point (-9, -8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]: $\displaystyle m=\frac{-8-15}{-9+9}$
[Fraction] Subtract/Add: $\displaystyle m=\frac{-23}{0}$

Here we see that our slope would be undefined since we cannot divide anything by 0.

You might be interested in

You have five quarts of paint. It takes 5/8 quart to paint each chair you are asked to paint. How many chairs can you paint?

pentagon [3]

5 chairs it is because it's oberse

3 0

3 years ago

The kinetic energy k of an object in joules is given by the formula k=1/2mv² where m is the object's mass in kilograms and v is

Tamiku [17]

Answer:

192000 J

Step-by-step explanation:

k = 1/2 mv²

48000 = 1/2 x m x (20)²

48000 = 200m

m = 240 kg

new k

k = 1/2 x 240 x 40²

k = 192000 J

5 0

3 years ago

In a G.P the 3rd term is 4 times the 1st term and the sum of the 2nd term and the 4th term is 30.find the common ratio,find the

STALIN [3.7K]

Answer:

the common ratio is either 2 or -2.

the sum of the first 7 terms is then either 765 or 255

Step-by-step explanation:

a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.

so,

a2 = a1×f

a3 = a2×f = a1×f²

a4 = a3×f = a1×f³

the problem description here tells us

a3 = 4×a1

and from above we know a3 = a1×f².

so, f² = 4

and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).

again, the problem description tells us

a2 + a4 = 30

a1×f + a1×f³ = 30

for f = 2

a1×2 + a1×2³ = 30

2a1 + 8a1 = 30

10a1 = 30

a1 = 3

for f = -2

a1×-2 + a1×(-2)³ = 30

-10a1 = 30

a1 = -3

the sum of the first n terms of a geometric sequence is

sn = a1×(1 - f^(n+1))/(1-f) for f <>1

so, for f = 2

s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765

for f = -2

s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =

= -1×-255 = 255

4 0

2 years ago

A geometric sequence is defined by the general term tn = 75(5n), where n ∈N and n ≥ 1. What is the recursive formula of the sequ

andreyandreev [35.5K]

The correct answer is C) t₁ = 375, $t_n=5t_{n-1}$ .

From the general form,
$t_n=75(5)^n$ , we must work backward to find t₁.

The general form is derived from the explicit form, which is
$t_n=t_1(r)^{n-1}$ . We can see that r = 5; 5 has the exponent, so that is what is multiplied by every time. This gives us

$t_n=t_1(5)^{n-1}$

Using the products of exponents, we can "split up" the exponent:
$t_n=t_1(5)^n(5)^{-1}$

We know that 5⁻¹ = 1/5, so this gives us
$t_n=t_1(\frac{1}{5})(5)^n
\\
\\=\frac{t_1}{5}(5)^n$

Comparing this to our general form, we see that
$\frac{t_1}{5}=75$

Multiplying by 5 on both sides, we get that
t₁ = 75*5 = 375

The recursive formula for a geometric sequence is given by
$t_n=t_{n-1}(r)$ , while we must state what t₁ is; this gives us

$t_1=375; t_n=t_{n-1}(5)$

3 0

3 years ago

How to Graph of y=1/2x-4

Advocard [28]

Answer and explanation:

We know that this is in slope-intercept form. ( y = mx + b )

1/2 would be the slope (you would use this to graph the next point)

-4 would by your y-intercept (where the line crosses the x-axis)

With this information you could graph any point using the slope given, starting at -4 (x-axis) going down or up.

3 0

3 years ago

Read 2 more answers

What is the slope formula of (-9,15) and (-9,-8) ?​

What is the slope formula of (-9,15) and (-9,-8) ?