Answer:
The point-slope form of the equation of the parallel line is y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercepts
The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe point-slope form is of the linear equation is y - y1 = m(x - x1), where
m is the slope(x1, y1) are the coordinates of a point lies on the line∵ The equation of the given line is y = [tex]\frac{3}{4}[/tex] x - 3
→ Compare it with the first form of the equation above
∴ m = [tex]\frac{3}{4}[/tex]
∴ The slope of it is [tex]\frac{3}{4}[/tex]
∵ Parallel lines have the same slopes
∴ The slope of the parallel line is [tex]\frac{3}{4}[/tex]
∵ The point-slope form is y - y1 = m(x - x1)
→ Substitute the value of the slope in the form of the equation above
∴ y - y1 = [tex]\frac{3}{4}[/tex] (x - x1)
∵ The line passes through the point (4, 3)
∴ x1 = 4 and y1 = 3
→ Substitute them in the equation above
∴ y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
∴ The point-slope form of the equation of the parallel line is
y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
The difference of two integers is 1. The product of the integers is 30. What
are the integers?
[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]
Let us take ,
First integer be x .Second integer be y .Also let us consider x > y .
According to first Condition :-
⇒ x - y = 1.
⇒ x = y + 1. .............(i)
According to second Condition :-
⇒ x × y = 30 .
⇒ ( y + 1 )y = 30 . [ From (i) ]
⇒ y² + y = 30.
⇒ y² + y - 30 = 0 .
⇒ y² + 6y - 5y -30 = 0.
⇒ y ( y + 6 ) -5 ( y + 6 ) = 0 .
⇒ ( y + 6 ) ( y - 5 ) = 0 .
[tex]\red{\bf \longmapsto y = 5 , (-6)}[/tex]
Here y can sustain both values 5 and minus 6 as y is an integer.
So , x = -6 , 5 .
Hence possible answers are ,
[tex]\boxed{\purple{\bf x = -6 , y = -5 }}[/tex]
[tex]\qquad\qquad\qquad \bf Or [/tex]
[tex]\boxed{\purple{\bf x = 6 , y = 5 }}[/tex]
.
The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
O f(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
Of(x) = 5x + 2
Answer:
d) f(x) = 5x + 2
Step-by-step explanation:
First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.
Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2
To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.
Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2
please help!! I'm really confused
Answer:
Point a is correct.
Step-by-step explanation:
hope I helped.
Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2)
A) f(x) = 3x + 1
B) f(x) = 3x - 1
C) f(x) = 8x + 10
D) f(x) = 8x - 10
Original price of oil change is 38.95 discount is 32%
Answer:
If the discount is 32%, the new price would be $26.486
Step-by-step explanation:
To get the answer, you would need to multiply 38.95 * .32 which would equal 12.464.
12.464 is the 32% discount
38.95 - 12.464 = 26.486
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Can someone please help, ty!! (Will mark brainliest)
[tex]\large\underline{\bf\red{Solution:-}}[/tex]
Given two points are :-
( -1 , 3)( 0 , -5)So , we know Two point form into equⁿ using a formula , which is
[tex]\boxed{\purple{\bf{\dag y - y_1 = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}}}[/tex]
So, on substituting respective values ,
=> y - 3 = (-5-3)/0-(-1) × ( x - 3)
=> y - 3 = -8/1 ( x - 3)
=> y - 3 = -8x +24
=> 8x + y -27 = 0
If the Plot of Land is an 80 ft by 50 ft rectangle,
what is the area?
Answer:
4000ft.
Step-by-step explanation:
The formula for area of a rectangle is length times width.
80 x 50 = 4000
what is 5 divided by 1 4/7
Lori read the total of 48 pages over 3 hours
Answer:
16 pages per hour
Step-by-step explanation:
48 ÷ 2 = 16 pages per hour
which of the rolling values are solutions to the inequality , ILL MARK BRAINLIST
Answer:
I believe it is 1 and 3 only. (I & III only)
Step-by-step explanation:
5(-1) = -5
-5 - 10 is less than -5, so I is true.
5(9) = 45
45-10 is not less than -5, so II is false.
5(1) =5
5-10 is equal to -5, so III is true.
Answer:
I. and III.
Step-by-step explanation:
5x - 10 ≤ -5
I. -1
5(-1) - 10 ≤ -5
-5 - 10 ≤ -5
-15 ≤ -5
-15 is less or equal to -5, thus I. is an option
II. 9
5(9) - 10 ≤ -5
45 - 10 ≤ -5
35 ≤ -5
35 is not less or equal to -5, thus II. is not an option
III. 1
5(1) - 10 ≤ -5
5 - 10 ≤ -5
-5 ≤ -5
-5 is less or equal to -5, thus III. is an option
Write 1 fifth (1|5)
as a decimal.
Answer:
The answer is 0.2
Step-by-step explanation:
=1/5
=1 Divided by 5
=0.2
PLEASE ANSWER I WILL GIVE YOU BRAINLIEST!
Name the points which satisfy the conditions. In the second quadrant
9514 1404 393
Answer:
C, M
Step-by-step explanation:
The second quadrant is the upper left quadrant. There, x-values will be negative and y-values will be positive.
__
Point G is on the boundary with the 3rd quadrant, so is probably not considered to be in either of those quadrants.
Answer: C M
Step-by-step explanation:
Ms Liu has $40 to buy water and popcorn at the movie theater. Popcorn costs $8 per bag and water costs 3$ per bottle. write an algebraic expression that will be used to find the amount of money left when Ms. Liu 3 bags of popcorn and 4 bottles of water.
Answer:
S = 1 bag of popcorn
Y = 1 water
Step-by-step explanation:
S x 3 + Y x 4 = R
40 - R = (The Answer)
Given vectors a = (2, 6) and b = (-3, 4), find – 3 a +5b.
Write your answer in component form.
Answer:
[tex]\huge\boxed{-3\overrightarrow{a}+5\overrightarrow{b}=\left<-21;\ 2\right>}[/tex]
Step-by-step explanation:
[tex]\overrightarrow{a}=\left<2;\ 6\right>\\\\\overrightarrow{b}=\left<-3;\ 4\right>\\\\-3\overrightarrow{a}+5\overrightarrow{b}=-3\left<2;\ 6\right>+5\left<-3;\ 4\right>=\left<-3\cdot2;\ -3\cdot6\right>+\left<5\cdot(-3);\ 5\cdot4\right>\\\\=\left<-6;\ -18\right>+\left<-15;\ 20\right>=\left<-6+(-15);\ -18+20\right>=\left<-21;\ 2\right>[/tex]
What value of x is in the solution set of 8x -6 > 12 + 2x?
-1
0
3
5
Answer:
x:5
Step-by-step explanation:
The value of 'x' in the solution set is 5 Option D
How to determine the value of xFrom the equation
8x -6 > 12 + 2x
Collect like terms
8x - 2x > 12 + 6
6 x > 18
Make 'x' subject of formula
x > 18/6
x > 3
If x is greater than 3, then x is 5
Therefore, the value of 'x' in the solution set is 5. Option D
Learn more about inequalities here:
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i cant figure this out
Answer:
(xy) ^ (-1)
Step-by-step explanation:
Good luck!!
The volume of a cube is 27 in.. How long is each side? Each side of the cube is____in. long.
Answer:
the volume is 27 and to get a volume of a cube it will be side cubed meaningit will be side x side x side so to get the length of one side we will look for the cube root of 27 by using factor tree and the cube root will be 3
A bag contains 5 blue, 3 red, 6 green, 9 orange, and 20 black marbles. What is the ratio of number of blue marbles to the number of marbles that are orange or green?
Answer:
What you are looking for is the ratio which is 5/9
Step-by-step explanation:
all you had to do was add them together
Answer:
Step-by-step explanation:
5 to 9
whay is called when there is a difference between what one expects to happen and what actually happens
O metaphor
O symbolism
O personification
O irony
Answer:
I do believe it is irony
what is the product of the complex number 3-4i and 6+I where I =-1
Answer:
15-20i
Step-by-step explanation:
Hello,
When l =-1
6+l = 6-1 = 5
and 5(3-4i)=15-20i
Thanks
Will Give Branieliest!!!!!!!
A farmer placed an order for 11 tons of fertilizer. He calculates that the corn fields will require 6 5/8 tons of it. How much fertilizer will the farmer have left for his other crops?
Write your answer as a fraction or as a whole or mixed number.
Answer:
4.375
Step-by-step explanation:
11 tons
He needs 6 5/8
Convert 11 tons to a fraction with the same denominator:
[tex]\frac{11}{1} *\frac{8}{8} =\frac{88}{8}[/tex]
Now calculate 6 5/8:
[tex]\frac{6}{1} *\frac{8}{8} =\frac{48}{8}[/tex] and add [tex]\frac{5}{8}[/tex]
[tex]\frac{48}{8} +\frac{5}{8} =\frac{53}{8}[/tex]
Now subtract
[tex]\frac{88}{8} -\frac{53}{8} =\frac{35}{8}[/tex]
As a mixed number:
[tex]\frac{35}{8} = 4 \frac{3}{8}[/tex]
As a fraction:
4.375 is how much he has left for his other crops.
As you can see, he uses one square for Stage 1, three squares for Stage 2 and six for Stage 3.
How many squares should he use for the sixth stage?
Answer:
21 squares
Step-by-step explanation:
1 = 1
2 = 3
3 = 6
The pattern follows squares use in the previous stage + new stage = squares use the new stage
Squares used in stage 2 = Squares used in stage 1 + stage 2
= 1 + 2
= 3 squares
Squares used in stage 3 = Squares used in stage 2 + stage 3
= 3 + 3
= 6 squares
Squares used in stage 4 = Squares used in stage 3 + stage 4
= 6 + 4
= 10 squares
Squares used in stage 5 = Squares used in stage 4 + stage 5
= 10 + 5
= 15 squares
Squares used in stage 6 = Squares used in stage 5 + stage 6
= 15 + 6
= 21 squares
4 = 10
5 = 15
6 = 21
In 10 minutes a heart can beat 700 time at this rate in how many minutes will a heart beat 140 time
Answer: i believe the answer is 2 minutes
Step-by-step explanation:
Bart drives 45 miles in 30 minutes. If he drove 3 hours in total at the same rate how far did he go! How many minutes did Bart drive in total!
Answer:
270 miles and 180 minutes
Step-by-step explanation:
How much is one pound of oranges according the the chart?
Answer:
The retail price for bananas and seedless grapes has had a somewhat rockier track record over the past 25 years. Starting at 45 U.S. cents in 1995, the price of bananas per pound reached its peak in 2008, with 62 cents. In 2019, bananas cost consumers an average of 57 U.S. cents per pound. In recent years, the retail price of seedless Thompson grapes had decreased: the price stood at roughly 3 U.S. dollars per pound in 2014 and dropped to approximately 2.40 U.S. dollars in 2019.
Sales growth of fresh fruit
In 2019, sales numbers for papayas increased by roughly 15 percent in the United States, making it the type of fresh fruit that experienced the highest rate of sales growth that year. Kiwis, berries, and limes were some of the other fruit types that experienced growth in the United States, while sales percentages for apricots, oranges, and tangelos decreased considerably
Step-by-step explanation:
Answer:
1.50
Step-by-step explanation:
On the X-axis where oranges are graphed, you run until you get to 1 pound. Then you go up from the X-axis and see where it connects with the Y-axis (total cost)
The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (14, 3).
Answer:
(x-14)^2+(y-3)^2=9
Step-by-step explanation:
equation of a circle is (x-h)^2+(y-h)^2=r^2
so center is (14,3) and is tangent externally means
(x-14)^2+(y-3)2=3^2
(x-14)^2+(y-3)^2=9 answer
The equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]
The standard formula for finding the equation of a circle is expressed as:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where
(a, b) is the centre
r is the radius
Given the center at (14, 3)
If the equation of a circle is externally tangent to the given circle and has a center at (14, 3), then the radius will be 3
Substitute the radius and the centre into the expression above to have:
[tex](x-14)^2 + (y-3)^2=3^2\\(x-14)^2 + (y-3)^2=9[/tex]
Hence the equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]
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you must take medicine in 4 equal doses each day. each days medicine come in a single container and measure 3 1/5 tablespoons. how much medicine is in each dose
A taxi cab in Myrtle Beach charges $2 per mile and $1 for every person. If a taxi cab ride for two people costs $12 how far will the cab travel?
Answer:
5 miles
Subtract the 1 dollar for each person from 12. You get ten, and divide ten by two, which is 5
Ns. Moore drove 200 miles in February. She drove 8 times as many miles in March as she did in January. How many mailed did Ms. Moore drive in March
Answer:
25
Step-by-step explanation:
200 divided by 8
Which equation represents a line with a slope of -3 and a y-intercept of -6?
A. y = 3x - 6
B. y = 6x + 3
C. y = - 3x +6
D. y = - 3x - 6
Answer:
D. y=-3x-6
Step-by-step explanation:
Slope is before x and since it is -3 it is -3x the y-intercept is the number without the variable and since it's -6 you get y=-3x-6