The equation of the line that passes through the point(1, 3) and is perpendicular to the line 2x + 3y = 15 is y = 3 / 2x + 3 / 2.
How to find the equation of a line perpendicular to another?The line passing through (1, 3) is perpendicular to the equation 2x+3y=15.
Therefore,
y = mx + b
where
m = slopeb = y-interceptHence,
3y = -2x + 15
y = -2 / 3 x + 5
For line to be perpendicular it must follow the following rules;
m₁m₂ = -1
m₁(-2 / 3) = -1
-2m₁ = -3
m₁ = 3 / 2
Therefore, the equation can be found as follows:
3 = 3 / 2(1) + b
3 = 3 / 2 + b
b = 3 - 3 / 2
b = 6 - 3 / 2
b = 3 / 2
Hence,
y = 3 / 2x + 3 / 2
learn more on equation of a line here: https://brainly.com/question/21511618
#SPJ2
At a constant speed, a car travels 75 miles in 60 minutes. How far does the car travel in 18
minutes? If you get stuck, consider using the table.
your answer is
22.5
good luck :)
Tommy earned $5 mowing the lawn on Saturday. He earned more money on Sunday. Write an equation that shows the amount of money Tom has earned
Answer:
f(x)=2x+5
Step-by-step explanation:
If you think about it, 5 is the y intercept, meaning the money he earn that day. While Sunday, he earned more which is the Slope of 2x because its 2 times the number. And you add them together, and there you go.
Couch and coffee table cost a total of $996. The cost of the couch is two times the cost of the coffee table find the cost of each item.
Answer:500
Step-by-step explanation:
find what x=______
show work pleae
Answer:
Use pythogoras theorem
a^2+b^2=c^2
x^2=c^2-a^2
x^2=15^2-12^2
x^2=81
x= square root of 81
x=9
Step-by-step explanation:
HELPPP
Ali and Jake went on a cross-country
trip. They took a train part of the way,
and took a bus the rest of the way. They
traveled a total of 1100 kilometers,
riding on the train 350 more kilometers
than on the bus.
Let x = kilometers traveled by bus. Let
y = kilometers traveled by train.
Answer:
so what are we trying to figure out?
Step-by-step explanation:
A cake was sliced into 8 parts. If each of these kids gets a slice of cake, what part of the cake will be left? Will the remaining cake be enough if there will be 5 more kids coming?
Step-by-step explanation:
Hello can you please give the amount of kids first?
pls help. i have to write it in exponential form
X × X - X × X × X × X × X + 17= X × X × X + 2
Who can answer this? .. if u dk it don’t comment thanks ♡︎ .
is a hotdog a taco or a sandwitch?
Answer:
Step-by-step explanation:
None of them
How many cubic blocks of side length 1/6 inch qould it take to fill a rectangular prism with a length, width and height of 1/3 inch, 2/3 inch, 2/3, respectively
Answer:
32 cubes
Step-by-step explanation:
I would first determine the volume in inches of the rectangular prism.
V = 1/3 x 2/3 x 2/3 = 4/27 cubic inches.
Then I would calculate the volume of the cube with 1/6 inch sides
V = 1/6 x 1/6 x 1/6 = 1/216 cubic inches.
Then I would divide the V of the large prism by the V of the small cube
(4/27) / (1/216) = (4/27) * (216/1) = 32 cubes
use the number line to find the absolue value of 7 (A -7, (B 0, (C 7, (D 14
Answer:
Can you put a number line in the picture?
Step-by-step explanation:
That would really help
Answer:
I think its C but without the number line a cant tell.
Step-by-step explanation:
What are the x- and y-intercepts of the following Standard Form Equation:
- 2x + 5y = 0
Answer:
X-Intercept: [tex]x=-\frac{5}{2}y[/tex]
Y-Intercept: [tex]y=-\frac{2}{5}x[/tex]
Step-by-step explanation:
X-Intercept-
2x+5y=0 - Move the variable to the right-hand side and change its sign
2x=-5y - Divide both side of the equation by 2
x=-5/27 - Write the solution x in parametric form
x=-5/2y, y∈R
Y-Intercept-
2x+5y=0 - Move the variable to the right hand side and change its sign
5y=-2x Divide both sides of the equation by 5
y=-2/5x Write the solution y in parametric form
y=-2/5x, x∈R
Simply please will give brainlist to first correct answer
Decimal or fraction form round all the way!
Answer:
The answer to the question provided is
[tex] \frac{1}{4} [/tex]
30 points! RIGHT ANSWER GETS BRAINLIEST!
Use 3 for pi. Area= (blank) circumference= (blank) meters
Answer:
Step-by-step explanation:
pi x 7 squared = 153.938040026
Please help I’ll give you brainlist or something
Answer:
1 slope of f is 5
slop of g is 2
2. connor
initial value is 200
rate of change is -10
Pilar
initial value is 242
rate of change is -8
3.
y intercept of f is -3
y intercept of g is -1
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
.
A shoe salesperson sold 20 pairs of shoes for $640. A brown pair of shoes sells for $30 and a black pair for $35. How many brown pairs were sold? A. 12 B. 14 C. 15 D. 8
Answer:
12 pairs
Step-by-step explanation:
Represent Brown with B and Black with A
So:
[tex]A + B = 20[/tex] --- Pairs sold
[tex]30B + 35A = 640[/tex] --- Amount
Required
Solve for B (the brown pairs)
Make A the subject in the first equation
[tex]A = 20 - B[/tex]
Substitute 20 - B for A in the second
[tex]30B + 35(20-B) = 640[/tex]
Open bracket
[tex]30B + 700 - 35B = 640[/tex]
Collect Like Terms
[tex]30B - 35B = 640 -700[/tex]
[tex]-5B = -60[/tex]
Divide both sides by -5
[tex]B = \frac{-60}{-5}[/tex]
[tex]B =12[/tex]
Howie works at a petting zoo. He fed a piglet 1/5 of a bottle of milk then gave 3/4 of what was left to the calf. How much of the bottle of milk did the calf drink
Answer:
[tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.
Step-by-step explanation:
Part of the bottle fed by the piglet = [tex]\frac{1}{5}[/tex]
Milk left in the bottle = 1 - [tex]\frac{1}{5}[/tex]
= [tex]\frac{5-1}{5}[/tex]
= [tex]\frac{4}{5}[/tex]
Milk drunk by the calf = [tex]\frac{3}{4}[/tex]th of the left part
= [tex]\frac{3}{4}\times \frac{4}{5}[/tex]
= [tex]\frac{3}{5}[/tex]th part of the bottle
Therefore, [tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.
Tash conducted a survey of the students in her school.
From the results, Tash calculated that 60% of the
students go to school by bus.
Lian knows that 450 students go to school by bus.
How can she use the information to find the number of
students in the school?
Answer:
The total number of students in the school is 750. You can use algebraic equation to calculate the number of the students. Let x be the total number of students in the school. Hope this helps.
An airplane ascended into the sky to a steady altitude of 35000 feet. The same plane descended to a steady altitude of 32000 feet. How many feet did the airplane descend
Answer:
3000 feets
Step-by-step explanation:
Given that :
Initial Ascent to steady altitude = 35,000 feets
Descent to steady altitude = 32,000 feets
Number of feets the plane descend :
(Initial ascent to steady altitude - descent to steady altitude)
(35000 - 32000) feets = 3,000 feets
2% of 65 answer fast please
Answer:
2% of 65
2/100*65
13/10
1 3/10
2 questions,Neeed helpppp assssaaaappp!!!
Answer:
(i) (x + 3) is a factor of p(x)= x⁴ + 4x³ + 4x² + 4x + 3 and the remaining factors are (x + 1) and ( x² + 1).
(ii) (x + 1) is not a factor of p(x)= 2x⁴ - 5x² - 2 and the remainder is -5.
Step-by-step explanation:
(i) Given;
Polynomial, p(x)= x⁴ + 4x³ + 4x² + 4x + 3
Factor, = x + 3
x = -3
if (x + 3) is a factor of the polynomial, then p(-3) = 0
p(-3) = (-3)⁴ + 4(-3)³ + 4(-3)² + 4(-3) + 3
= 81 -108 + 36 - 12 + 3
= 0
(x + 3) is a factor of the given polynomial and the remainder is 0.
The remaining factors can be obtained as follows;
x³ + x² + x + 1
--------------------------------
x + 3 √x⁴ + 4x³ + 4x² + 4x + 3
- ( x⁴ + 3x³)
--------------------------------
x³ + 4x² + 4x + 3
-(x³ + 3x²)
----------------------------------
x² + 4x + 3
-(x² + 3x)
---------------------------------------
x + 3
-(x + 3)
---------------------------------------
0
Further divide x³ + x² + x + 1 by x + 1
x² + 1
---------------------
x + 1 √x³ + x² + x + 1
-(x³ + x²)
------------------------
x + 1
-( x + 1)
-----------------
0
Thus, the factors of x⁴ + 4x³ + 4x² + 4x + 3 = (x + 3)(x + 1)( x² + 1)
(ii) Given;
Polynomial, p(x)= 2x⁴ - 5x² - 2
Factor, = x + 1
x = -1
if (x + 1) is a factor of the polynomial, then p(-1) = 0
p(-1) = 2(-1)⁴ - 5(-1)² - 2
= 2 - 5 - 2
= -5
Thus, (x + 1) is not a factor of the given polynomial and the remainder is -5.
In the seating for a concert, the first row has 10 chairs. Every row after that has 2 more chairs. 7. What is the explicit formula that models this situation? 8. How many chairs are in row 20?
9514 1404 393
Answer:
7. c(n) = 10 +2(n -1)
8. c(20) = 48
Step-by-step explanation:
7. Your arithmetic sequence has first term a1=10 and constant difference d=2. The explicit formula for terms of an arithmetic sequence is ...
an = a1 +d(n -1)
If we use c(n) as the function name for the function giving the number of chairs in row n, then we can fill in the numbers we know to get ...
c(n) = 10 + 2(n -1)
__
8. Evaluating the function when n=20, we find ...
c(20) = 10 +2(10-1) = 10 +2·19 = 10 +38
c(20) = 48
There are 48 chairs in row 20.
If bricks are each 3 inches × 4 inches × 8 inches, how many bricks can be fit into a space which is 1 foot × 4 feet × 8 feet?
A 1 to 250
B 251 to 500
C 501 to 750
D 751 to 1000
E >1000
Answer:
The correct option is B.
Step-by-step explanation:
Consider the provided information.
The dimensions of bricks are in inches so convert foot into inches.
1 foot = 12 in
4 feet = 48 in
8 feet = 96 in
To calculate the number of bricks that fit into space we divide the space's volume by the volume of 1 brick.
[tex]\text{Number of bricks in space}=\dfrac{12\times 48 \times96}{3\times 4 \times8}[/tex]
[tex]\text{Number of bricks in space}=576[/tex]
Hence, 576 bricks can be fit into a space.
Therefore the correct option is B.
I need help please and thank you !
Answer:
π(12x^3y^5z)^2
Step-by-step explanation:
I doubt your teacher would want you to evaluate the whole thing but if they do leave a comment
Y varies with x. When y=39, x=3. Find the value of y when x=2
Answer:
[tex] \frac{39}{y} = \frac{3}{2} \\ y = \frac{39 \times 2}{3} \\ \boxed{y = 26}[/tex]
26 is the right answer.OMG HELP OMG HELP OMG HELP
Answer:
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
3 bouquets of 3$ is 3*3 = 3^2
4 bouquets of 2$ = 2 * 4
plplpl solve the answer
Given:
The expression is:
[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]
To find:
The value of the given expression.
Solution:
We have,
[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]
It can be rewritten as
[tex]=\sqrt[3]{\dfrac{(-8)\times (-8) \times (-8)}{9\times 9\times 9}}[/tex]
[tex]=\sqrt[3]{\dfrac{(-8)^3}{9^3}}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]=\sqrt[3]{\left(\dfrac{-8}{9}\right)^3}[/tex] [tex][\because \dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m][/tex]
[tex]=\dfrac{-8}{9}[/tex] [tex][\because \sqrt[n]{x^n}=x][/tex]
The value of given expression is [tex]\dfrac{-8}{9}[/tex].
Therefore, the correct option is b.
Eight people went to a movie and three of them purchased a drink. Write an expression you could use to solve for the total cost if the tickets are $12 each and the drinks are $2.50 each.
Answer:
The expression : 12x + 2.50y
Total cost = $103.5
Step-by-step explanation:
The number of people that went to the movie = x
Number of people that bought drinks = y
Total cost = 12x + 2.50y
Eight people went to a movie and three of them purchased a drink
Total cost = 12 × 8 + 2.50 × 3
Total cost = 96 + 7.5
Total cost = $103.5
One report said that it rained 3 inches in two days. It actually rained 1.05 inches and 1.8 inches. How far off was the report? Explain your answer.
Answer:
Step-by-step explanation:
1.80 + 1.05 = 2.85
3.00 - 2.85 = .15 inches