2. Consider the following system of equations.
y = 2x - 4
y = -x + 5
{
a. Identify the slope and y-intercept of the graph of each equation.
b. Based on your answer for part (a), are the graphs of the two lines intersecting lines, the
same line, or parallel lines? Explain your reasoning.

Answer:

r = 22.629

Step-by-step explanation:

Using the Pythagorean theorem:

(35 + r)² = 53² + r²

1225 + 70r + r²  = 2809 + r²

subtract r² from each side of the equation:

1225 + 70r = 2809

subtract 1225 from each side:

70r = 1584

r = 22.629

Answer:

C. 215.12 feet per second

Step-by-step explanation:

Sergei's car was clocked in a quarter mile race at 146.67 miles per hour.

How many feet per second is this to the nearest hundredth if there are 5280 feet in one mile?

From the above question

1 mile = 5280 feet

1 hour = 60 minutes

1 minutes = 60 seconds

1 hour = 60 × 60 seconds = 3600 seconds

We are to convert 146.67 miles per hour = feet per second

Hence:

146.67 miles /1 ft × 5280 feet/1 miles × 1 hr/3600 seconds

= 146.67 × 5280 feet/3600 seconds

= 774417.6 feet / 3600 seconds

= 215.116 feet per second.

Approximately = 215.12 feet per second

Option C is correct

28.9

Step-by-step explanation:

Multiply the denominator by the number on the other side. This will give you 28.9 as t. To check your work, divide 28.9/8.5. This will give you 3.4.

Answer:

x = 14√3

y = 7√3

Step-by-step explanation:

By applying sine rule in the given triangle,

sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{21}{x}[/tex]

x = [tex]\frac{42}{\sqrt{3}}[/tex]

x = 14√3

By applying cosine rule in the given triangle,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{2}=\frac{y}{x}[/tex]

[tex]\frac{1}{2}=\frac{y}{14\sqrt{3}}[/tex]

y = 7√3

Answer:

w=1

w=0

Step-by-step explanation:

We can tell 2 is greater than 1, so it either has to be 0, or 1. W cannot be 2 because otherwise the symbol would have to be less than or equal to.

Brainliest please!

Answer:

W=1 and W=0

Step-by-step explanation:

The question is asking which values of w are less than 2 and W=1 and W=0 meet that criteria.

Answer:

part a is infinite Part b is number 3

Step-by-step explanation:

Answer:

Answer: z * 1 =

Step-by-step explanation:

So, add da numbers to get dat

Answer:

2z + 3 = 5

Step-by-step explanation:

2z + 3 = 5 Subtract 3 from both sides

2z = 2 Divide both sides by 2

z = 1

Answer:

H=14.25 yd

Step-by-step explanation:

Answer:

5d = 75 d = 0

i dont know how to do 94 = g + 32 g = sorry

Step-by-step explanation:

Answer:

30 miles

Step-by-step explanation:

1 hour = 60 min

60 divided by 20= 3

30 times 10 = 300.

Answer:

She would go 30 miles

This is the answer because 20 minutes times 3 equals 60

which means that 10 times 3 equals 30

so your answer is 30 miles

Answer:

Step-by-step explanation:

If the z statistic does not lie within the critical region, you cannot reject the null hypothesis but neither can you necessarily accept it.  

What you can do is reject the alternate hypothesis.

The valid conclusion based on the given results is; One can reject the alternate hypothesis.

We are told that;

z-statistic = 2.1

Now, the critical z-values were -1.96 and 1.96

Since our z-statistic does not lie within the critical values region, it means that there is not enough evidence to reject the null hypothesis at the given significance level. However, it means that we can reject the alternate hypothesis.

Read more on hypothesis conclusion at; https://brainly.com/question/15980493

Answer:

15

Step-by-step explanation:

As we can see, we have the total ratio as;

5 + 2 + 1 = 8

Total of NQ is 24

The ratio accorded to NO is 5

so we have the length of NO as;

5/8 * 24 = 15

Answer: 1.35

Step-by-step explanation:

Answer:

1.35

Step-by-step explanation:

We need to identify our independent variables and dependent variables.

The number of papers graded depend on the amount of time.

The amount of time is the independent variable

The papers graded depends us the dependent variable

Divide the independent variable by the dependent variable to find papers per minute

For Ms.Mitchell the papers per minute is

For Mr.Rector, the papers per minute is

Subtract 2.4 from 3.75.

The answer is 1.35

here are the answers:

#1

#2=11

#3=-2

#4=70

Answer

Exterior,18°

Interior,162°

Step-by-step explanation:

To calculate exterior,360°÷no of sides, i.e

360°÷20=18°

Interior is gotten by 180°-exterior angle

180°-18°=162°

*The diagram is in the attachment

Answer:

q = 2√14

Step-by-step explanation:

To determine the value of q, apply the leg rule/geometric mean theorem, which is:

Hypotenuse/leg = leg/part

Hypotenuse = 10 + 4 = 14

Leg = q

Part = 4

Plug in the values into the equation:

14/q = q/4

Cross multiply

q*q = 14*4

q² = 56

q = √56

q = √(4*14)

q = 2√14

Answer:

q = 2√14

Step-by-step explanation:

got it right on test

Answer:3.5

Step-by-step explanation: quick maths

Answer:

Step-by-step explanation:

100 G

1 L

4 Kg

40 ML

Answer:

100 ml's of butter 1 g of milk 4 l of potatoes and 40 kg's of sour cream

Step-by-step explanation:

pls mark me brainlyest!

Answer:

I think the answer is 742,000,000

Step-by-step explanation:

The approximate number of heartbeats in the lifetime of a large dog is 742,000,000 times.

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

According to the question

A small dog’s heart beats about during its lifetime = 530,000,000 times

A large dog’s heart beats about 1.4 times this amount.

i.e A large dog’s heart beats about during its lifetime = 530,000,000 *1.4  times

                                                                                     =  742,000,000 times

Hence, the approximate number of heartbeats in the lifetime of a large dog is 742,000,000 times.

To know more about unitary method here:

https://brainly.com/question/19423643

#SPJ2

Answer:

$117

Step-by-step explanation:

Create an equation to represent the situation, where x is the number of games he attended, and y is the cost

y = 6x + 45

Solve for the amount he paid by plugging in 12 as x

y = 6x + 45

y = 6(12) + 45

y = 72 + 45

y = 117

So, Ray paid $117

Answer:

3x2+4x-2o= 12 metros se for quadrado se não será diferente a resposta

Answer:

3

Step-by-step explanation:

3 x (2) - (3)

Answer:

0,25

Step-by-step explanation:

Answer:

0.25 or 1/4

Step-by-step explanation:

Answer:

15 up plus 20 down= 35 feet.

Step-by-step explanation:

15+20=35

Answer: 0.45

Step-by-step explanation:

Answer:

-8+7a=3-4a

7a=11-4a

0=11-11a

-11=-11a

a=1

Step-by-step explanation:

hope that helped

Answer:

it is blink

Step-by-step explanation:

vgftr

Given:

Output = 5 times input

To find:

The graph for the given statement.

Solution:

We know that, y-axis represents the output and x-axis represents the input.

Let y be the output and x be the input. Then the given statement can be written as

[tex]y=5x[/tex]

Here, the slope of the line is 5 because the value of [tex]m[/tex] is 5 on comparing the equation with [tex]y=mx+b[/tex].

It means the line is steeper because the vertical change is greater than the horizontal change.

Therefore, the correct option is A.

Answer:

see below

Step-by-step explanation:

The Pythagorean theorem is for right triangles.  It uses the two legs and the hypotenuse

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

Answer:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

Step-by-step explanation: