What are the slopes of (-3,1),(-7,-2) and (2,-1),(8,4)

Can someone help me on the steps for this?

Rudiy27

Answer:

x = 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Multiple Roots

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Identify

a = 12

b = 5

c = x

Step 2: Solve for x

Substitute in variables [PT]: 12² + 5² = x²
Evaluate exponents: 144 + 25 = x²
Add: 169 = x²
[Equality] Square root both sides: ±13 = x
Rewrite: x = ±13

Since we are dealing with positive numbers, we can disregard the negative root.

∴ x = 13

3 0

3 years ago

Pls help asap no trolls!

weeeeeb [17]

Answer:

YX < YW < XW

Step-by-step explanation:

12v +(v+57) + (v+39) = 180

14v + 96 = 180

14v = 84

v = 6

3 angles from smallest to largest: 72° (12v) (XW) , 63° (v+57)(YW) , 45° (YX)

side length: YX < YW < XW

4 0

3 years ago

Fewer young people are driving. In year A, 67.9% of people under 20 years old who were eligible had a driver's license. Twenty y

aleksley [76]

Answer:

Case a Case b

margin of error 0.0216 0.0231

Interval estimate (0.7016 , 0.6795) (0.5031 , 0.4569)

margin of error is not same in both cases.

Step-by-step explanation:

a

At 95% confidence interval the interval estimate of number of 20 year old drivers in year A can be computed as

p' ± z $\sqrt{\frac{p'(1-p')}{n} }$

= 0.68 ± 1.96 $\sqrt{\frac{0.68(1-0.68)}{1800} }$

= 0.7016 , 0.6795

the margin of error can be written as

z $\sqrt{\frac{p'(1-p')}{n} }$

= 1.96 $\sqrt{\frac{0.68(1-0.68)}{1800} }$

= 0.0216

b

At 95% confidence interval the interval estimate of number of 20 year old drivers in year B can be computed as

p' ± z $\sqrt{\frac{p'(1-p')}{n} }$

= 0.48 ± 1.96 $\sqrt{\frac{0.48(1-0.48)}{1800} }$

= 0.5031 , 0.4569

the margin of error can be written as

z $\sqrt{\frac{p'(1-p')}{n} }$

= 1.96 $\sqrt{\frac{0.48(1-0.48)}{1800} }$

= 0.0231

c

Sample size is same in case A and B but proportion is different in both cases so margin of error is different in both cases

3 0

3 years ago

Laura brought some fish; salt water ($2 each) and fresh water ($1 each). If she has 15 fish and the total was $23 - how many of

never [62]

Answer:

8 salt water

7 fresh water

Step-by-step explanation:

Let's represent salt water fish with the variable "s" and fresh water fish with the variable "f".

We can make a system of equations - one equation for the number of fish and the other for the price of the fish.

We know that the total number of fish Laura has is 15, and the total price of the fish was $23.

s + f = 15
2s + f = 23

Solve the system of equations by subtracting the bottom equation from the top equation.

-s =-8
s = 8

Laura bought 8 salt water fish. Since the total number of fish is 15, the number of fresh water fish must be 7.

5 0

3 years ago

Read 2 more answers

a rectangle has a perimeter of 204 feet. Its length is six feet longer that twice its width. find the dimensions

frutty [35]

Answer:

The length of the rectangle is 70 cm

The width of the rectangle is 32 cm

Step-by-step explanation:

Given:

perimeter of the rectangle = 204 feet

Its length is six feet longer that twice its width

To Find:

The dimensions of the rectangle = ?

Solution:

Let the width of the rectangle be x

Then its length is six feet longer that twice its width.

That is length = 6 + 2x

Now we know that the perimeter of the rectangle is

perimeter = 2(length + width)

204 = 2(6+2x+x)

204 = 2(6+3x)

204 = 12 +6x

204 - 12 = 6x

192 = 6x

x = $\frac{192}{6}$

x = 32

Thus the width is 32 cm

Its length is

=6 + 2x

=6 + 2(32)

=6 + 64

= 70 cm

6 0

3 years ago