a line goes through points (0,2) and (1,1). what is the x coordinate of the intersection of this line with the line y=3x+3

Answers

Answer 1

Answer:

x = -1/4

Step-by-step explanation:

Find the equation of the line that passes through points (0, 2) and (1, 1). (Slope)

m = (1 - 2) / (1 - 0) = -1

The equation of the line in slope intercept form is

y = mx + b

We have

m = -1

b = 2 (The y-intercept is given)

Substitute

y = -x + 2 (Equation A)

Now solve the system of equations

y = -x + 2 (Equation A)

y = 3x + 3 (Equation B)

Solve the system by substitution, equate equation A and equation B

3x + 3 = -x + 2

Solve for x

3x + x = 2 - 3

4x = -1

x = -1/4

Therefore, the x-coordinate of the intersection both lines is 1/4

(Kinda copied an answer, but this seems right. Hopefully.)


Related Questions

A deli sells 2 hot dogs for $2.50. What is the constant of proportionality of dollars per hot dog?

Answers

Answer:

$1.25 per hot dog

Step-by-step explanation:

Since we have given that

A deli sells 2 hot dogs for $2.50

i.e.

Cost of 2 hot dogs = $2.50

And we need to find the constant of proportionality of dollars per hot dog, for which we'll use unitary method.

So,

Cost of 1 hot dog is given by

2.50/2=$1.25

So, Cost of per hot dog is $1.25.

Hope this helps :)

Solve for the missing term

Answers

Answer:

Answer 1 : 120

Answer 2 : 4

Answer 3 :

Answer 4 : 60

Amswr 5 :

Sorry I didn't know the rest I hope this helps you

Evaluate the expression 53 ÷ (13 − 8) × 2.

Answers

the correct answer would be about 11.923

Answer:

im confused too so lets work together!

Step-by-step explanation:

(13 - 8 = 5.) so, rewrite the problem as 5 cubed divided by (5) x 2! Now, we figure out 5 cubed. 5 x 5 equals 25, x 5 equals 125. So, 125 divided by 5 would be 25. Now, 25 x 2 is 50.

The final answer would be 50!

7 is what percentage of 14?

Answers

7 is 50% of 14..........

Answer:

50%

Step-by-step explanation:

7/14 =1/2

7 divided by 7 is 1

14 divided by 7 in 2

6/5 of 7/11 pls help asap

Answers

Answer:0.76

Step-by-step explanation:

.76 this is a step by step question

Noah and Lin buy a 10-cup bag of flour and divide it evenly to make their recipes.

If they each use all their flour, how much sugar do they each need?

Answers

Answer:

I'm not sure if that helps or not

Which angle is complimentary to 3?

Answers

Answer:

non of yhrm

Step-by-step explanation:

What are the slope and y-intercept for the following equation? 3x + 20 = -4y

Answers

Answer:

rjdjddd

Step-by-step explanation:

u u3ueueneehnenenee

The slope is 3x and the y - intercept is 20

Can someone please help me

Answers

Answer:

the constanst is everytime have and⭐

The constant is 2 because it goes up by 2 everytime.

2.
(05.02)
A triangle can be formed with side lengths 2 in, 3 in, and 6 in. (5 points)

True
False

Answers

Answer:
False

Explanation:
No, a triangle cannot be constructed with sides of 2 in., 3 in., and 6 in.

For three line segments to be able to form any triangle you must be able to take any two sides, add their length and this sum be greater than the remaining side.

Answer:

It's false! because 2 3 and 6 do not sum up to each side!

Step-by-step explanation:

What is the circumference of the field if the area is 14400

Answers

Answer:

About 425

Step-by-step explanation:

Tell me if you want the explanation.

240/sqrt(pi) hope that’s helpful

1. A piece of steel has a volume of 12 cm3
and a mass of 96g. What is its density?

Answers

Answer:

it's density is 8 g /cm³

Step-by-step explanation:

Mass (m) = 96 g

Volume (v) = 12 cm³

Density (d) =?

We know density is defined as mass per unit volume so

d = m/v

= 96 / 12

= 8 g/cm³

Hope it will help :)

Note : if in the question it is said to write in sI system u have to write in kg/m³.

7(C - 18)= -98
Help ASAP

Answers

Answer:

[tex]C=4[/tex]

Step-by-step explanation:

[tex]7(c-18)=-98\\7c \frac{-126}{+126}=\frac{-98}{+126} \\\frac{7c}{7}=\frac{28}{7}\\c=4[/tex]


Name all points within the figure below.

Answers

Answer:

wx  zy xz

Step-by-step explanation:


someone knows the answer?

Answers

No no yes i think please correct me

Step-by-step explanation:

not a reaction not a reaction and a reaction. In that order.

Unit test
28
-125% +
20
Enter the answer as an exact decimal or simplified fraction.

Answers

Answer:

46.75

Step-by-step explanation:

Answer:46.75

Step-by-step explanation:

Solve equation 2 cot² x + 2 = 7 + 3 cot x for
[tex]0 \leqslant x \leqslant 360[/tex]

Answers

Answer:

Look below.

Step-by-step explanation:

[tex]2 (cotx)^{2} + 2 = 7 + 3 cot x\\let \\ u=cotx\\2u^2+2=7+3u\\2u^2-3u-5=0\\[/tex][tex]x=\frac{-(-3)+\sqrt{9-4(2)(-5))} }{2(2)} \\x=\frac{-(-3)-\sqrt{9-4(2)(-5))} }{2(2)} \\x={11/4}\\x=-1\\\\u=cotx\\x=arccotu\\x_{1}=arccot(-1) \\x_{2}=arccot(11/4)\\[/tex]

Calculate x1 and x2 in calculator. Check for domain.

giving brainliest and 50 pts

Answers

D is correct
Have a great day!
D is the correct answer!

A teacher surveys 30 students on the number of books they read over the summer. The data
are represented in the box plot. What is the median number of books read?
2 4
8
14
20
0
4
8
12
16
20
24
11
8
10
9

Answers

Answer:

8+12=20÷2=10

median is 10

need answers with explanation quick!​

Answers

Step-by-step explanation:

<AOP + < BOP = 180°< being linear pair >

x + 30° + x - 30° = 180°

2x = 180°

x = 90°

Now

<AOP = x + 30° = 90° + 30° = 120°

<BOP = x - 30° = 90° - 30° = 60°

<AOP is obtuse angle because it is less than 180° but more than 90°.<BOP is acute angle because it is less than 90°.

Hope it will help :)❤

3- blank = 11

Please help

Answers

Answer:

14

Step-by-step explanation:

3+11=14

soo that is the answer (i read it correctly it is the right answer)

The Montgomery Company tells Squeaky Clean that most of their buildings are 40 feet tall. Squeaky Clean decides to use ladders to reach the upper windows. The base of the ladder works best on the sidewalk so it needs to be 9 feet away from the building. How tall should the ladder be in order to reach the top of the building?

Answers

Answer: 41 feet

Step-by-step explanation: The ladder, the building and the sidewalk creates a right triangle, with the 90° formed at the junction of sidewalk and building, so the length of the ladder is the triangle's hypotenuse.

To determine hypotenuse, use Pythagorean's theorem:

[tex]h^{2}=s^{2}_{1}+s^{2}_{2}[/tex]

[tex]h=\sqrt{40^{2}+9^{2}}[/tex]

[tex]h=\sqrt{1681}[/tex]

h = 41

For the ladder to reach the top of the building, it has to be 41 feet tall.

Complete the following sentence

If x is to 6 as 10 is to 15, then x is equal to .

Answers

Answer:

x=4

Step-by-step explanation:

x/6 = 10/15

x/6 = 2/3

3x=12

Answer:

x=4

Step-by-step explanation:

To find this, you must first figure out the relationship between 10 and 15. Since 10 is 2/3 of 15, "x" must be 2/3 of 6.

To find "x", divide 6 by 3 to get 2, then 2 by 2 to get 2/3 of 6 (4). Thus meaning X = 4.

I hope this helps!

Which problem can be solved using this equation: 9x + 14 = 100

Answers

Answer:

James has 9x cookies he needs 100 he buys 14 more what’s the value of x?

Step-by-step explanation:

4 1/2 cups of flour to make 4 fruit cakes how many cups of flour are needed for one fruitcake

Answers

Answer:

1 and 1/8

Step-by-step explanation:

I am pretty sure because I did the math

Which ratio is equivalent to the ratio 32:40?

Answers

Answer:

4/5, or 4:5

Step-by-step explanation:

Roxanne likes to fish. She estimates that 30% of the fish she catches are trout, 20% are bass, and 10% are perch. She designs a simulation.
Let 0, 1, and 2 represent trout.
Let 3 and 4 represent bass,
Let 5 represent perch.
Let 6, 7, 8, and 9 represent other fish.
The table shows the results:

Answers

The probability helps us to know the chances of an event occurring. The probability of Roxanne catching bass is 60%.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

For the next four of the fishes to be bass, the numbers in the table must contain the digit 3 or 4 in it. Therefore, the cases where Roxanne catches bass are:

263520534526699443483087832335793840683933637683

Also, it is mentioned that the total number of cases is 20 (Given in the table). Therefore, the probability of catching a bass can be written as,

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\\Probability=\dfrac{\text{Number of cases where Roxanne catches fish}}{\text{Total number of catches}}\\\\\\Probability = \dfrac{12}{20} = 0.60\\\\Probability = 60\%[/tex]

Hence, the probability of Roxanne catching bass is 60%.

Learn more about Probability:

https://brainly.com/question/795909

Answer:

65%

Step-by-step explanation:

What this the value of f

Answers

Answer:undefined

Step-by-step explanation:-5 is not in the ranges of 0 to 3, greater than three and it is not equal to three so undefined.

Find the common ratio and the three terms in the sequence after the last one given. -4, 16, -64, 256, …

Answers

Answer:

The ratio of all the adjacent terms is the same and equal to

[tex]r=-4[/tex]

The next three terms after the last one will be:

[tex]a_5=-1024[/tex][tex]a_6=4096[/tex][tex]a_7=-16384[/tex]

Step-by-step explanation:

Given the sequence

-4, 16, -64, 256, …

Finding the common ratio

An arithmetic sequence has a constant ratio 'r' and is defined by  

[tex]a_n=a_1\cdot r^{n-1}[/tex]

computing the ratios of all the adjacent terms

[tex]\frac{16}{-4}=-4,\:\quad \frac{-64}{16}=-4,\:\quad \frac{256}{-64}=-4[/tex]

The ratio of all the adjacent terms is the same and equal to

[tex]r=-4[/tex]

Finding the next three terms

Given the sequence

-4, 16, -64, 256, …

here

[tex]a_1=-4[/tex]

[tex]r=-4[/tex]

substituting [tex]a_1=-4[/tex] and [tex]r=-4[/tex] in the nth term

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]a_n=-4\left(-4\right)^{n-1}[/tex]

substituting n = 5 to determine the 5th term

[tex]a_5=-4\left(-4\right)^{5-1}[/tex]

[tex]a_5=-4^4\cdot \:4[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]a_5=-4^{1+4}[/tex]

[tex]a_5=-4^5[/tex]

[tex]a_5=-1024[/tex]

substituting n = 6 to determine the 6th term

[tex]a_6=-4\left(-4\right)^{6-1}[/tex]

[tex]a_6=-4\left(-4^5\right)[/tex]

[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]

[tex]a_6=4\cdot \:4^5[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]a_6=4^{1+5}[/tex]

[tex]a_6=4^6[/tex]

[tex]a_6=4096[/tex]

substituting n = 7 to determine the 6th term

[tex]a_7=-4\left(-4\right)^{7-1}[/tex]

[tex]a_7=-4^6\cdot \:4[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]a_7=-4^{1+6}[/tex]

[tex]a_7=-4^7[/tex]

[tex]a_7=-16384[/tex]

Therefore, the next three terms after the last one will be:

[tex]a_5=-1024[/tex][tex]a_6=4096[/tex][tex]a_7=-16384[/tex]

Dan solves 6p = 5-3p in the way shown below. Which properties did Dan use for Step 1 and Step 2?
6p - 5 - 3p
Step 1: 6p + 3p - 5 - 3p + 3
Step 2: 6p + 3p = 5 + 0
Step 3:
9p - 5
Step 4:
P=
Both the addition Property of Equality and the Distributive Property
Both the Addition Property of Equality and the Additive identity Property
Both the addition Property of Equality and the Additive inverse Property
Both the Addition Inverse Property and the Additive Identity Property

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Both the Addition property of equality and additive inverse property

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