Given:
The points are (0,3) and (1,-1).
To find:
The equation of line passes through these points.
Solution:
Standard form of a line is
[tex]Ax+By=C[/tex]
We know that, if a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through (0,3) and (1,-1), so the equation of the line is
[tex]y-3=\dfrac{-1-3}{1-0}(x-0)[/tex]
[tex]y-3=\dfrac{-4}{1}(x)[/tex]
[tex]y-3=-4x[/tex]
Adding 4x and 3 on both sides, we get
[tex]4x+y=3[/tex]
Therefore, the standard form of the line is [tex]4x+y=3[/tex].
Given u = ⟨1, 3⟩, v = ⟨2, 1⟩, and cos(ϴ) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction , where ϴ is the angle between the vectors, what is the scalar projection uv and the dot product u · v?
Answer:
B?
Step-by-step explanation:
Answer:
b.
Step-by-step explanation:
edge 2020
find the slope
( 1,3) (4,9)
Answer:
2
Step-by-step explanation:
1. slope formula: [tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex]
2. [tex]\frac{9-3}{4-1}[/tex]
3. [tex]\frac{6}{3}[/tex]
4. 2
What is the approximate circumference of the circle shown below?
A. 48.7 cm
B. 24.3 cm
C. 97.3 cm
D. 39.5 cm
Answer:
The answer is A. 48.7
Step-by-step explanation:
The approximate circumference of the circle is,
⇒ C = 48.7 cm
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
A circle is shown in image.
And, Diameter of circle = 15.5 cm
Since, WE know that;
Circumference of circle is,
C = πd
Where, d is diameter of circle
Hence, The approximate circumference of the circle is,
⇒ C = 3.14 × 15.5
⇒ C = 48.7 cm
Thus, the circumference of the circle is,
⇒ C = 48.7 cm
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ7
find the product of the following monomial
x^n * x^2
Answer:
x^(n+2)
Step-by-step explanation:
When multiplying two monomials with the same base but different exponents,
under the multiplication rule of exponents,
the product becomes the base number to the power of the sum of the exponents.
For example:
[tex]a^2 + a^1 = a^(1+2)[/tex]
Therefore, since x^n and x^2 both have x as their bases,
the product becomes x^(n + 2)
Which equation best represents the data shown in the scatter plot below?
Answer:
y=3/2x+3
Step-by-step explanation:
Answer:
y=3/2x+3
Step-by-step explanation:
Adam has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $24 each week to buy clothes and food. What is the maximum number of weeks that Adam can withdraw money from his account?
Please help I will mark as brilliant answer.
Answer:
Step-by-step explanation:
if he has 500 and wants to have 200 left subtract 500-200=300
then if he spends 24 each week divide 300/24=12.5
the maximum number is 12 because cant have a remainder
at the end of the summer he would have 212 left.. 12x24=288..500-288=212
Answer:
12 weeks .
Step-by-step explanation:
24 x 12 = 288 . 24 x 13 = 312 .
500 - 288 = 212 . 500 - 312 =188 .
its 12 because if you do 13 its to below the price so you'll have some change left .
A rectangle has a height of a^2+3 and a width of a^2 +2a+5
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Answer:
Area = a^4 + 10 a^2 + 6 a + 15
Step-by-step explanation:
Height: a^2+3
Width: a^2 +2a+5
Area of the entire rectangle = Height x Width
So we have to multiply both expressions and apply distributive property:
Area = (a^2 + 3) x (a^2 + 2a + 5)
Area = a^2 x (a^2 + 2a + 5) + 3 x (a^2 +2a + 5)
Area = a^4 + 2a^2 + 5a^2 + 3a^2 + 6a + 15
grouping terms of same power of a:
Area = a^4 + (2+5+3)a^2 + 6a + 15
Area = a^4 + 10 a^2 + 6 a + 15
What is the correct answer? Please hurry <3
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
The bigger parallelogram is 4 times larger than the one on the left
There is a 10% off sale on laptop computers. If someone saves $90 on a laptop, what was its original cost?
Answer:
I think 100$
Step-by-step explanation:
I can't be to sure
Answer:
900 dollars
Step-by-step explanation:
This is pretty easy
We know 10 percent off
so we can make an equation
0.1x=90
Then just solve
x=900
So 900 dollars
We can check by use finding 10 percent of 900
which is 90
SO its correct
WILL GIVE BRAINLIEST! NEED HELP! THANK YOU
A line passes through the points (−4,−9) and (−2,−6). What is the equation of the line in Slope-Intercept Form?
y=2/3x+3
y=3/2x+3
y=3/2x−3
y=2/3x−3
Answer:
y= 3/2x-3
Step-by-step explanation:
m= y2-y1/x2-x1
m= -6-(-9)/-4-(-2)
m= 3/2
y= mx+b
y= 3/2x+b
-9=3/2*-6+b
Solve for y:
32x + 14y = 23
can you answer this
Answer:
More than likely it looks like a right angle or 90 degrees so the answer is mostly 51.
Step-by-step explanation:
90 - 39 = 51
How can you find the diameter and radius if you know the circumference.
Answer:
If we say the circumference is 1600 pi, and this is equal to pi times the diameter, we can just divide both sides by pi to get the diameter, which is going to be 1600.
Step-by-step explanation:
Circles are all similar, and "the circumference divided by the diameter" produces the same value regardless of their radius. This value is the ratio of the circumference of a circle to its diameter and is called π (Pi).
!!!!URGENT!!!!
Ivan's gas tank is 1/4 full. After he buys 10 gallons of gas, it is 2/3 full. How many gallons can Ivan's tank hold?
Answer:
How many gallons can Ivan's tank hold? 24
A bicycle is on sale for $189.00. The sales tax rate is 5%. How much is the sales tax?
Answer:
The tax rate is 9 dollars and 45 cents.
Step-by-step explanation:
Lucas buys sandwiches for the boys' basketball team. At the first game, he paid $85 for 17 sandwiches. At the second game, he will have to buy 21 sandwiches at the same cost per sandwich
How much will Lucas have to pay? Use any strategy to solve this problem.
O $90
O $105
O $110
O $120
Answer:
$105
Divide 85 by 17 which equals 5 so each sandwich cost $5. Then multiply 21 by 5 which is 105.
Solve for p: 3p+12=c+14
Answer:
p = [tex]\frac{c+2}{3}[/tex]
Step-by-step explanation:
Given
3p + 12 = c + 14 ( subtract 12 from both sides )
3p = c + 2 ( divide both sides by 3 )
p = [tex]\frac{c+2}{3}[/tex]
From each of the following sets make all possible ordered pairs,
(a) P= {x,y)
(b) X= {1, 2, 3)
Answer:
All possible ordered pairs are as follows:
{(x, 1), (x, 2), (x, 3), (y, 1), (y, 2), (y, 3)}Step-by-step explanation:
In an ordered pair (x, y),
x is called the first component y is called the second component.Let
P = {x, y}
X = {1, 2, 3}
The number of elements in the set P = n(P) = 2The number of elements in the set X = n(X) = 3So, the number of possible ordered pairs = 2 × 3 = 6
Therefore, all possible ordered pairs are as follows:
{(x, 1), (x, 2), (x, 3), (y, 1), (y, 2), (y, 3)}find the value of x
HELP ME. It takes 12 hours to paint a 10-ft-by-18-ft mural. At this rate, how long will it take
the same number of people to paint the same mural on a 15-ft-by-27-ft wall?
The measure of angle JLM is 140°. The measure of angle JKL is 75.
What is the measure of angle KJL
Enter your answer in the box.
Answer:
KJL is 65 degrees
Step-by-step explanation:
If JLM is 140 deg. JLK is 40 deg the two angles on transverse line must equal 180 total.
JKL being 75 degf, sum that with JLK of 40= 115 deg
180-115= 65 deg Sum of interior angles on a triangle add up to 180 deg.
At least that is how I remember it, you can also graph it and check it out.
Answer:65
Step-by-step explanation:
taking the test rn
3.2 geometry worksheet
Answer/Step-by-step explanation:
5. 21x + 4 = 22x - 2 (corresponding angles)
Collect like terms
21x - 22x = -4 - 2
-x = -6
divide both sides by -1
x = 6
6. (x + 72) + (x + 132) = 180 (linear pair)
x + 72 + x + 132 = 180
Add like terms
2x + 204 = 180
2x = 180 - 204
2x = -24
x = -12
7. 90 = 22x + 2 (vertical angles)
90 - 2 = 22x
88 = 22x
Divide both sides by 22
4 = x
x = 4
8. 12x + 10 = 13x + 3 (vertical angles)
Collect like terms
12x - 13x = -10 + 3
-x = -7
Divide both sides by -1
x = 7
9. 17x = 16x + 5 (alternate exterior angles)
17x - 16x = 5
x = 5
✔️17x
Plug in the value of x
17(5) = 85°
10. 21x - 6 = 20x (corresponding angles)
Add like terms
21x - 20x = 6
x = 6
✔️20x
20(6) = 120°
David expressed the ratio of the number of books that he owns to the number of DVDs that he owns as 27:11. Which statement could be true based upon this relationship? David has 11 books and 27 DVDs. David has 11 DVDs and 27 books. David has 11 DVDs and 27 items total. David has 11 books and 27 items total.
Answer: David has 11 DVDs and 27 books.
Step-by-step explanation:
When numbers are put in ratio form they are meant to compare their relative sizes.
The first number will be the first item being compared to the other.
For instance, if you had 2 pens and 3 pencils, the ratio of your pens to your pencils will be; 2:3. The ratio of your pencils to your pens however is 3:2.
In the same vein, a ratio of books to DVDs of 27:11 means that David has 27 books and 11 DVDs.
Answer:
David has 11 DVDs and 27 books.
Step-by-step explanation:
A company has a monthly profit, or gain, of $6,400. The next month they have a loss of $4,700.
What expression would you use to find the difference in profit between the two months?
-4,700 - 6,400
6,400 - 4,700
6,400 - (-4,700)
4,700 - 6,400
Answer:
6,400-4,700
Step-by-step explanation:
:sobs: help, I’m giving away all my points for this.
Answer:
Amphibians! In order for water-dwelling animals to adapt to life on land, many new adaptations had to take place. First, they needed to be able to breathe air instead of obtaining oxygen from water. And fins don't work well as legs! They needed to be able to move around well on land.
What group of animals begins its life in the water, but then spends most of its life on land? Amphibians! Amphibians are a group of vertebrates that has adapted to live in both water and on land. Amphibian larvae are born and live in water, and they breathe using gills. The adults live on land for part of the time and breathe both through their skin and with their lungs as their lungs are not sufficient to provide the necessary amount of oxygen.
There are approximately 6,000 species of amphibians. They have many different body types, physiologies, and habitats, ranging from tropical to subarctic regions. Frogs, toads, salamanders , newts, and caecilians are all types of amphibians.
Step-by-step explanation:
Answer:
I-
lol-
I feel so bad for you- ;-;
Step-by-step explanation:
A total of 54 adults and students show up for the play. Adult tickets cost $8 and kid tickets cost $5 and the total money collected
was $360. How many of each type of ticket were sold?
It’s using substitution or elimination to get a number for kids and adults
Answer:
30 adult tickets and 24 kid tickets
Step-by-step explanation:
set up equations
x=adult tickets
y=kid tickets
x(adult tickets)+y(kid tickets)=54(people in total)
x+y=54
$8x+$5y=$360
$8 per ticket for adults
$5 per ticket for kids
total of $360 earned
8x+5y=360
↓
x+y=54
8x+5y=360
solve by elimination or substitution or even graph to get
(x,y)=(30,24)
x=30
y=24
Which triangle is congruent to the triangle with vertices (2,-2), (7,10), and (4,6)? (1 point)
O (-4,2), (8,7), (1,1)
0 (-5,3), (7,-2), (3,1)
O (9,6), (1,8), (-1,4)
O (-7,-5), (-3, -2), (3, 3)
Answer:
(-5,3), (7,-2), (3,1)
Step-by-step explanation:
Just did this question. Got it wrong but thats what it says the right answer is
please help! i need this done now<3
Answer:
25
Step-by-step explanation:
Can somebody plz help answer these questions CORRECTLY thanks!!
(Only if u know how to do it)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD
Answer:
a)72% b)75%
Step-by-step explanation:
I’m not really sure bout a. If it changed to 50, I kept the amount she answered correct but out of 50-(36/50) to get the percent. b) is the 36 she got correct out of the 48 she tried to do-36/48 x 100
I NEED HELP! If f(x)= 5x^2-3 and g(x)=x^2-4x-8, find (f-g)(x).
Answer:
(f - g)(x) = 4x² + 4x + 5
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 5x² - 3
g(x) = x² - 4x - 8
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = 5x² - 3 - (x² - 4x - 8)Distribute -1: (f - g)(x) = 5x² - 3 - x² + 4x + 8Combine like terms: (f - g)(x) = 4x² + 4x + 5