Answer:
6x+8y = 3
Step-by-step explanation:
we have 3x + 4y = 7
4y = -3x + 7
y = -3/4 x + 7/4
so slope is -3/4
2 parallel lines always have same slope
so the slope of our new line is -3/4
so y = -3/4 x + C
for c,
we have (x,y) = (-2/3,7/8)
7/8 = -3/4 * -2/3 + C
C = 3/8
so equation is
y = -3/4 x + 3/8
simplyfyig,
8y = -6x + 3
or, 6x+8y = 3
Find the distance from point A(−14, 5) to the line −x+2y = 14.
Answer:
The distance from point A to given line is: 2√5 or 4.472 units
Step-by-step explanation:
Given equation of line is:
[tex]-x+2y= 14[/tex]
And the point is:
[tex]A = (x_1,y_1) = (-14,5)[/tex]
The standard form of equation of line is:
[tex]Ax+By+C = 0[/tex]
Converting the given equation into standard form
[tex]-x+2y-14=0[/tex]
The distance of a point (x1,y1) from a line is given by the formula:
[tex]d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}[/tex]
In the given details,
A = -1, B = 2, C = -14
x1 = -14, y1 = 5
Putting the values in the formula
[tex]d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units[/tex]
Hence,
The distance from point A to given line is: 2√5 or 4.472 units
Write the equation for the line that is parallel to the given line and that contains
the given point. Use the point-slope form of the equation of a line.*
(-3,4) y=-x-11
Answer:
x + y - 1 = 0
Step-by-step explanation:
y = -x - 11
therefore its slope is -1
x1= -3
y1 = 4
m = -1
from, y - y1 = m(x -x1)
y - 4 = -1(x + 3)
y -4 = -x -3
x + y -1 = 0
A fox can run at a rate of 62 miles in 2 hours. A rabbit can run at a rate of 22 miles in 30 minutes. Which animal has the faster speed in miles per hour?
Answer:
The rabbit is faster, as it has a speed of 44 mph.
Step-by-step explanation:
Since the fox runs 62 miles in 2 hours, its speed can be determined by dividing the miles traveled by the time it took to do so. Thus, since 62/2 equals 31, its speed was 31 miles per hour.
In turn, the rabbit can travel 22 miles in half an hour. Following the same procedure, since 22 / 0.5 equals 44, its speed is 44 miles per hour.
Therefore, the rabbit is faster than the fox, since it has a speed of 44 mph versus 31 mph for the latter.
You bought a bag of cat food for $4.75 and a bag of dog food for $12.59. How much more did you spend on the dog food?
Answer:
$7.84 more
Step-by-step explanation:
To find how much more you spent on dog food, find the difference between the two prices:
12.59 - 4.75
= 7.84
So, you spent $7.84 more on the dog food
Find (g-)(x).
f(x)=1/x
g(x) = x^2+ 2x-5
Answer:
C. x^2+ 2x-5 - 1/xStep-by-step explanation:
Givenf(x)=1/x g(x) = x^2+ 2x-5To find(g-f)(x)Solution(g-f)(x) = g(x) - f(x) =x^2+ 2x-5 - 1/xCorrect one is C
12(x - 6) = 2(x - 9)
Answer:
Exact form: x = 27/5
Decimal form: x = 5.4
Mixed-number form: x = 5 2/5
Step-by-step explanation:
hope this helps :)
GOD WILL GIVE YOU A BILLION DOLLARS IN THE FUTURE!!! $$$$
How would I solve the slope for this? FULL SOLUTION AND FORMULA AS WELL PLEASE... GOD BLESS AND U WILL GET A BILLION DOLLARS IF YOU ANSWER. TRUST.
Answer
Step-by-step explanation:
Choose true or false for each statement.
Answer:
a:t
b:f
c:f
d:t
e:f
I think
Question 1:
Solve for k :
Answer:
Step-by-step explanation:
Equation:
-3k = 108
We need to separate -3 from k. So we must do the inverse operation.
Divide both sides by -3
k = -36
Hope this helps :)
Please consider Brainliest :)
what is the solution set of the above question ?
Answer:
The solution set is { } or ∅ ⇒ empty set
Step-by-step explanation:
∵ 2x + 10 < 10
→ Subtract 10 from the two sides of the inequality
∵ 2x + 10 - 10 < 10 - 10
∴ 2x < 0
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]
∴ x < 0
∴ The solutions are all the negative numbers
∵ x ∈ N
∵ N is the set of Natural numbers
→ The natural numbers start at 1 and include all positive whole numbers
∴ N = {1, 2, 3, 4, 5, ..............}
∵ N does not contain any negative numbers
∴ The solution set is an empty set ⇒ ∅
∴ The solution set is { } or ∅
Andy cut rope for an activity at outdoor camp. He had 504 centimeters of rope to cut into equal-length pieces. How many of the ways given below would use the entire amount of rope? Circle all that apply. A. 12 pieces of 42.3 centimeter long rope B. 15 pieces of 33.6 centimeter long rope C. 16 pieces of 31.5 centimeter long rope D. 20 pieces of 25 centimeter long rope E. 35 pieces of 14.4 centimeter long rope
Answer: B, C, E
Step-by-step explanation:
For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.
A. 12 pieces of 42.3 centimeter long rope.
= 12 × 42.3
= 507.6
This is wrong
B. 15 pieces of 33.6 centimeter long rope
= 15 × 33.6
= 504cm
This is correct
C. 16 pieces of 31.5 centimeter long rope
= 16 × 31.5
= 504cm
This is correct
D. 20 pieces of 25 centimeter long rope
= 20 × 25
= 500cm
This is incorrect
E. 35 pieces of 14.4 centimeter long rope
= 35 × 14.4
= 504cm
This is correct
Therefore, the correct option are B, C and E.
2. What are the slope and y-intercept of the
line described by y = 3x - 6?
Answer:
If your trying to find the slope and y-int of that equation:
Slope: 3
y-int: (0, -6)
In one grade of 150 students, the ratio of boys to girls is 2 : 3.
How many boys are in that grade?
Answer:
60 boys are in the grade.
Step-by-step explanation: Since there are 150 students, we can divide that number by the combined ratio, which in this case is 5. Dividing 150 by 5 would yield 30 students. We can use this information to multiply the given number of boys in the ratio by 30, which would produce 60.
Explain how to solve systems of linear equations by substitution.
Answer:
Step 1 : First, solve one linear equation for y in terms of x .
Step 2 : Then substitute that expression for y in the other linear equation.
Step 3 : Solve this, and you have the x -coordinate of the intersection.
Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.
Step-by-step explanation:
what’s the area of this? i really need help....50 points if u help me :)
Answer:
Step-by-step explanation:
We can split this up into 3 shapes.
Using the attached image:
[tex]A = (5-2)*(3)\\A = 3*3 = 9\\\\B = \frac{1}{2}(7-3)(5-2)\\B = \frac{1}{2}(4)(3)\\B = 2*3 = 6\\\\C = 7 * 2 = 14\\\\A + B + C = 14 + 6 + 9 = 29[/tex]
Given the following number line, select all of the true statements.
|a| > |b|
a b
a > b
0 0
Answer:
b
Step-by-step explanation:
7r7f7fdud6f7fuf6ffuf7f7fud7d7d6d6d
Answer:
doing this in oddseyware rn its is A C D F
mark brainlist
Step-by-step explanation:
a function is a type of ____.
a. vertical line test
b. relation
c. range
d. domain
Answer:
relation
Step-by-step explanation:
i just took the test and got it wrong because of the other answer
PLEASEEE ITS EASY ALGEBRA 1 ):
Answer:
6, 7, and 8
Step-by-step explanation:
2x/3 + 7 > 11
Subtract 7 from both sides
2x/3 > 4
Multiply both sides by 3
2x > 12
Divide both sides by 2
x > 6
6, 7, and 8 are the ones that work
What is the value of x and what does ACB equal to? Please answer as soon as possible! Thanks for your support!
Answer:
11 ; 12°
Step-by-step explanation:
3x + 28 + 2x - 10 + 5x + 52 = 180
10x = 180 - 70
x = 11
m∠C = 2(11) - 10 = 12°
Answer:
Angle ACB = 12°
Step-by-step explanation:
All angles in a triangle always add up to 180°, which gives us an equation to solve for x:
3x + 28 + 5x + 52 + 2x -10 = 180
Combine like terms
10x + 70 = 180
Subtract 70 from both sides
10x = 110
Divide both sides by 10
x = 11
Now we know the value of x, we need to just plug it in to angle ACB's given value:
2(11) - 10 = Angle ACB
22 - 10 = Angle ACB
12 = Angle ACB
A school allots £2000 to spend on a trip to the theatre. Theatre tickets have a regular cost of £32 each and are on offer for 1 4 off. A train ticket for the day will cost £12 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
Answer:
£20
Step-by-step explanation:
Given that:
Total amount alloted = 2000
Ticket cost = 32
Discount = 1/4 off
Hence, ticket price = 3/4 * 32 = 24
Train ticket cost = 12
Total cost per person = £(12 + 24) = £36
Hence, alloted amount / cost per person
= £2000 / £36
= 55.55
Total number that can attend = 2 teachers and 53 students
Change = £2000 - (£36*55)
= £20
What is the slope of this line?
Enter your answer as a fraction in simplest term in the box
Answer:
m = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points given from the graph.
Point (0, 2)
Point (7, 2)
Step 2: Find slope m
Substitute: [tex]m=\frac{2-2}{7-0}[/tex]Subtract: [tex]m=\frac{0}{7}[/tex]Divide: [tex]m=0[/tex]Any horizontal line will have a slope of 0.
And we have our final answer!
1. Jun needs to review for the entrance exam with his remaining 5 3/5 hours fo the 7 subjects. how long will he spend for each subject?
2.Mar purchased 6 3/4 meters of wall paper for the boxes he will cover. if each box needs 2 1/4 meters, how many boxes will get covered?
3.Joana has 12 1/4 meters of ribbon, joy has 3meters ribbon shorter than joana. they split the ribbon to have the an equal length of ribbon. how long is each piece
Answer: See explanation
Step-by-step explanation:
1. Jun needs to review for the entrance exam with his remaining 5 3/5 hours fo the 7 subjects. how long will he spend for each subject?
The time spent on each subject will be the remaining hours left divided by 7. This will be:
= 5 3/5 ÷ 7
= 28/5 ÷ 7
= 28/5 × 1/7
= 28/35 = 4/5 hours
Since 60 minutes make one hour
4/5 hours = 4/5 × 60 = 48 minutes
2.Mar purchased 6 3/4 meters of wall paper for the boxes he will cover. if each box needs 2 1/4 meters, how many boxes will get covered?
This will be:
= 6 3/4 ÷ 2 1/4
= 27/4 ÷ 9/4
= 27/4 × 4/9
= 3 boxes
3.Joana has 12 1/4 meters of ribbon, joy has 3meters ribbon shorter than joana. they split the ribbon to have the an equal length of ribbon. how long is each.
Joana ribbon = 12 1/4 meters
Joy's ribbon = 12 1/4 - 3 = 9 1/4 meters
We then add both length of ribbons and divide by 2. This will be:
= 12 1/4 + 9 1/4
= 21 1/2 meters
= 21 1/2 meters ÷ 2
= 43/2 ÷ 2
= 43/2 × 1/2
= 43/4
= 10 3/4 meters
⚠️⚠️What should I change ? And why ? ⚠️⚠️
⚠️look at the photo for mor detailed instructions⚠️
DON’T TROLL and if you don’t know don’t answer
Answer/Step-by-step explanation:
Change the 3rd and 4th input. ALL the input values must be different even if they have the same output values in order to be a function. NONE of the input values should be the same, it just has to be something completely different for it to be correct. It may not be linear, but It will be correct.
What is the point slope form of a line with the slope -5 and point (2,-8)?
Answer:
-5x-y=27
Step-by-step explanation:
Plz give brainliest I am trying to rank up.
#1: Find the slope of the line shown below.
Answer:
-3/4
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Answer:
-3/4
Step-by-step explanation:
Dexter is curious as to whether there is a relationship between a person’s height and thumb length. Fourteen of his classmates volunteered to be measured. He listed his data in a table.
Examine the data set and determine the relationship, if any, between height, h, and thumb length, t. Use your model to predict the thumb length of a person who is 174 cm tall.
The answer to this question is 7.404
A video game store adds a 25% markup on each of the games that it sells. In addition to the manufacturer's cost, the store also pays a $1.50 shipping charge on each game.
Answer:
[tex]y=1.25x+1.5[/tex]
Step-by-step explanation:
Step one:
given data
let the manufacturing cost of the video game be x
25% of x
=25/100*x
=0.25x
the new price of the video game will be
=0.25x+x
=$1.25x
cost of shipping is given as $1.5
let the total cost of producing a video game be y
The expression for the total cost of one video game is given as
[tex]y=1.25x+1.5[/tex]
Cody treated his girlfriend to lunch at Hamburger Palace. The bill came to
$
15.95
plus a tax of
$
1.17
. He gave the waitress a $20 bill and two dimes.
How much change will Cody get back?
Answer:
2.88
Step-by-step explanation:
You add $15.95 + $1.17 = $17.12 and subtract $20 and its $2.88 he will get back
Need help with this please!!
Answer:
1. A) -12, 3 B) -6, 9 C) 0, -6 D) -15, -6
2. L) 1, -4 M) 6, 4 N) 7, -2
3. P) 4, 12 Q) 12, 12 R) 12, 8 S) 4, 8
4. W) 3, -6 X) 9, -3 Y) 15, -6 Z) 9, -9
5. M) -14, -8 N) -8, -6 O) -6, -12 P) -12, -14
6. D) -1, 3 E) 2, 2 F) 2, 1 G) -1, 0
hye guys i ned help
how do you muiltply dobule digits lik 10x11 help!!!!!!!!!11!
Answer: 11 x 10 = 110.
Step-by-step explanation: you can use a calculator for these types of problems
Answer:
One way is that you do across multiplication so if you did that for 10x11 that'll equal 110
Step-by-step explanation: