Answer:
y = –3x – 6
Step-by-step explanation:
We'll begin by obtaining the slope of the equation y = –3x – 2.
This can be obtained by comparing
y = –3x – 2 with y = mx + c
Thus, the slope (m) of the equation
y = –3x – 2 is –3.
Next, we shall determine the slope of the equation parallel to line with equation y = –3x – 2.
This is illustrated below:
For parallel lines, the slope are related as follow:
m1 = m2
m1 = –3
m2 = m1 = –3.
Finally, we shall determine the equation as follow:
Coordinate = (–3, –3)
x1 coordinate = –3
y1 coordinate = –3
Slope (m) = –3
y –y1 = m(x – x1)
y – (–3) = –3 (x – (–3))
y + 3 = –3 (x + 3)
y + 3 = –3x – 3
Rearrange
y = –3x – 3 – 3
y = –3x – 6
Thus, the equation parallel to the line is y = –3x – 6
Find the measures of two supplementary angles, <M and <N, If M=6x+3 and m<N=2x-7
9514 1404 393
Answer:
M = 141°, N = 39°
Step-by-step explanation:
Supplementary angles have a total measure of 180°, so ...
M + N = 180
(6x +3) +(2x -7) = 180
8x = 184 . . . . . add 4, simplify
x = 23 . . . . . . . divide by 8
∠M = 6·23 +3 = 141°
∠N = 2·23 -7 = 39°
Evaluate the following expression. $$(10 + 2) \div 6 + 5^3$$
Answer:5
Step-by-step explanation:
Combine the like terms to create an equivalent expression:
-3z-z
The tree in Ravinder’s drawing is 12 cm tall. The ratio of the drawing to the tree is 0.5:15. What is the height of the tree in the park?
Answer:
In cm 360
In meters 3.6
Step-by-step explanation:
had the same question but had to answer in both and got em right
In an arithmetic sequence with a1= 35 and d = -5, which term is – 15?
The term - 15 is the th term of the sequence.
Answer:
The term -15 is the 11-th term of the sequenceStep-by-step explanation:
[tex]a_n=a_1+d(n-1)\\\\-15=35+(-5)(n-1)\\\\-15=35-5n+5\\\\5n=40+15\\\\5n=55\\\\n=11[/tex]
In your own words, explain how to find the rate of change of the following graph at x=1. Then find the rate of change at x=1.
Answer:
Rate of change of the graph = 1
Step-by-step explanation:
Rate of change of the graph at any point is defined by the slope of the line at that point.
Since, slope of a line between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{\triangle y}{\triangle x}[/tex]
In other words, slope of a line between two points is given by the ratio of rise and run of the line between the given points.
Therefore, slope of the line passing through two points (0, 2) and (1, 3) will be,
m = [tex]\frac{3-2}{1-0}[/tex]
m = 1
Rate of change at x = 1 is 1.
Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.
Answer:
10
Step-by-step explanation:
For movie mania:
Sign-up fee = $ 20
Rent for 1 DVD = $ 4.00
For Hurricane video:
Sign-up fee = 0
Rent of 1 DVD = $ 6.
Let [tex]n[/tex] be the number of DVDs to rent in order for both stores to charge the same.
For movie mania, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs
=20+4n
For Hurricane movie, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs
=0+6n=6n
Now, for both stores to charge the same, both the charges must be equal, we have
6n=20+4n
[tex]\Rightarrow 6n-4n=20[/tex]
[tex]\Righatarroe 2n=20[/tex]
[tex]\Rightarrow n =20/2=10[/tex]
Hence, the required number of DVDs to rent is 10 in order for both stores to charge the same.
I went to the grocery store to buy avocados. They were $3 for 4. How much will it cost me for 10?
Answer:
7.50$
Step-by-step explanation:
3+3+1.5=7.50$.
Alex bought 2 1/4 pounds of M&Ms and 1.6 pounds of gummy worms. If the M&Ms cost $2 per pound, and the gummy worms cost $ $2.75 per pound, how much did he spend?
Answer:
Alex paid $8.90 total. $4.50 for the M&Ms and $4.40 for the gummy worms.
Step-by-step explanation:
2 [tex]\frac{1}{4}[/tex] is equivalent to 2.25, and if each pound is worth $2, then you would multiply the cost by each pound bought, shown like this: $2 (2.25) = $4.50 (You are distributing the $2 to find the product).
$2.75 (1.6) = $4.40
$4.50 + $4.40 = $8.90
what is the approximate percent change in a temperature that went down from 120 degrees to 100 degrees?
the percent change is approximately 17%
the percent change is approximately 20%
the percent change is approximately 80%
the percent change is approximately 120%
Answer:17
Step-by-step explanation:my teacher explained how 20 is wrong
Answer:
It is 17 percent.
Step-by-step explanation:
Confirming the other answer is right and just saying it's right for other people who might not trust em. :D
Which diagram suggests a correct construction of a line that is parallel to given line I and passes through given point Q?
Answer:
I've done this before, I think it was C.
Step-by-step explanation:
Answer: The answer is C
Step-by-step explanation:
2/5(a+2b)^2 (if a=3 and b=-4)
The answer is 10. Hope this helps.
Multiply the numbers
2/5 •(3-8)^2
Subtract (3-8)
2/5• (-5)^2
A negative base raised to an even power equals a positive
2/5• (5)^2
Reduce the expression with 5.
2•5
10
what is the slope of the line whose equation is y-4=5/2(x-2)
-5/2
-2/5
2/5
5/2
Answer:
The slope of the line would be 5/2
Step-by-step explanation:
Because if you put in the y-4=5/2(x-2) on the desmos calculator the line segment shows up and you will find the rise/run which is the equation to find a slope. So the rise I counted was 5 and the run was 2. Therefore the fraction would look like this: 5/2
i need help with this
A function f(x) is graphed.
What is the slope of the function?
ma
What is the y-intercept of the function?
b.
Which equatich represents the graph of the function?
Answer:
slope:1/2
y intercept:-1/2
equation of the line: y=1/2x-1/2
Step-by-step explanation:
choose two points from the line( I chose (3,1) and (-1,-1)) and then using y1-y2/x1-x2, do 1 - -1/3 - -1 which is 2/4 simplified to 1/2. the slope is 1/2.
now to find the y intercept, you just have to plug in the numbers from one of the sets of points you chose and your slope using y = mx +b(I will be using the point (-1,-1)). equational look like this: -1=1/2•-1+b
since b is the y intercept, solve for b and you get b= -1/2.
so nowsince you know the slope and the y intercept you just plug it in to the equation
y = mx + b and you get y=1/2x-1/2.
HELPPPPpPPPZZZ PLZZZZ I NEED HELLPP
Answer:
The triangles are lined up with their correct pairs already.
Step-by-step explanation:
The leg that is the base is always seen as the bottom, and the leg to the side of it that makes the right angle will always be the height. Though if the base is at the hypotenuse as it is seen in the last photo, the height will be from the point of which the two legs of the triangle meet down to the hypotenuse.
8 different type of numbers?
Answer:
Disclaimer: You can disregard some if not wanted information.
1. decimal's
2. Exponent's
3. Variable's (still counts)
4. rational number's
5. Irrational Number's
6. Repeating Decimal's
7.Terminating decimal's
8.Integer's
One Honorable Mention:
Fraction's
Step-by-step explanation:
Answer:
rational numbers: 1/2, 5/8
irrational number: ie. pi, numbers under a root symbol
whole numbers: 0, 1, 2, 3...
real numbers: ie. 4, 1/2, -0.5
integers: ie. ...-3, -2, -1, 0, 1, 2, 3...
natural numbers: ie. 1, 2, 3, 4...
counting numbers
decimal numbers: ie. 0.2, 2.4
A new car is purchased for 24800 dollars. The value of the car depreciates at 7.25% per year. To the nearest tenth of a year, how long will it be until the value of the car is 9000 dollars?
Answer:
pretty sure the answer is 13.5 years. sorry if wrong
Step-by-step explanation:
You want to build a small square patio out of one-foot square concrete slabs. Home Depot delivered 80 slabs to your home. Without cutting any of the slabs, what is the largest square patio you are able to build? Its dimensions will be feet by feet. Will you have any slabs left over? If so, how many? There will be slabs left over.
Answer:
Without cutting any of the slabs, what is the largest square patio you are able to build?
8 ft x 8 ft = 64 ft²Will you have any slabs left over? If so, how many?
yes, I will have 16 slabs left overStep-by-step explanation:
to find the largest square patio just calculate √80 = 8.94. Since you cannot cut the slabs, then the sides must be 8 x 8 = 64 slabs
if you had just one more slab, then you could have built a 9 by 9 square patio (√81 = 9)
A small cab carries 4 people. How many small cabs will I need to transport 44 people?
The equation y = -3x + 5 represents a ____ function. The -3 represents the ____ of the line. This means that the slope is _____ . The 5 in the equation represents the ____ of the line. This is where the graph crosses the ____ axis.
Answer:
Step-by-step explanation:
The equation y = -3x + 5 represents a linear function. The -3 represents the slope of the line. This means that the slope is -3 . The 5 in the equation represents the y-intercept of the line. This is where the graph crosses the y-axis.
Compare the original equation with the standard form to get all the values.
[tex]y=-3x+5\\y=mx+c[/tex]
If we compare m= -3 and c=+5 where m is the slope/gradient and c is the y-intercept.
The equation y = -3x + 5 represents a Linear function. The -3 represents the slope of the line. This means that the slope is -3. The 5 in the equation represents the y-intercept of the line. This is where the graph crosses the y axis.
What is meant by linear function?A linear function is one that, when graphed, produces a straight line. Thus, non-linear functions are any non-linear functions. Although graphing is the quickest way to determine whether a function is linear or non-linear, we can also determine linearity from its input/output table or equation. So the way to describe linear functions is that for any given change in x, the change in y will always be the same value.Therefore,
Compare the original equation with the standard form to get all the values.
y = -3x + 5
y = mx +c
If we compare m = -3 and c = 5 where m is the slope/gradient and c is the y-intercept.
To learn more about Linear function, refer to:
https://brainly.com/question/15602982
#SPJ2
How many degrees is are
Answer:
AMH = 32
Step-by-step explanation:
The angles are alternate exterior angles and when the lines are parallel, alternate exterior angles are equal
x+86 = 24+2x
Subtract x from each side
x+86 -x =24+ 2x+2x-x
86 = 24 +x
Subtract 24 from each side
86-24 = 24+x-24
62 =x
x+86 = 62+86 =148
AMH is supplementary since it forms a straight line
AMH + x+86 = 180
AMH + 148 = 180
AMH = 180-148
AMH = 32
The standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. A standard dartboard is
18 inches in diameter.
Suppose a standard dartboard is hung at standard height so that the bull's-eye is 11 feet from a wall to its left.
Samuel throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor.
Does Samuel's dart land on the dartboard?
Answer:
Yes, Samuel dart does land on the dart board
Step-by-step explanation:
The given parameters are;
The height from the floor to the bulls eye = 5 feet 8 inches
The size of the standard board = 18 inches diameter
The distance of the bulls eye from the wall to the left = 11 feet
The distance the dart Samuel throws land from the left wall = 11.5 feet
The distance above the ground, the dart Samuel throws land = 5.5 feet
Whereby Samuel throws the dart directly at the dartboard, we have;
The location of the bulls eye = (11, 5.67)
The equation of the circle representing the dart board = (x - 11)² + (y - 5.67)² = 0.75² = 0.5625
The unit of the radius is in feet
The position of Samuel's dart is represented by the coordinate, (11.5, 5.5)
Plugging in the coordinates of the position of Samuel's dart into the equation of the circle of the dart board gives;
(11.5 - 11)² + (5.5 - 5.67)² = 0.2789 ≈ 0.528²
Therefore, given that the square of the distance of the position of Samuel's dart is less than the square of the radius of the dart board, we have;
Yes, Samuel dart does land on the dart board.
From the parameters given to find out if Samuel's dart landed on the dartboard, we can say that;
Samuel's dart does not land on the dartboard.
We are given;
Height from the floor to the bulls eye = 5 ft 8 in = 5.67 ft
Diameter of the standard dartboard = 18 in = 1.5 ft
Thus, radius; r = 1.5/2 = 0.75 ft
Distance of the bulls eye from the wall to the left = 11 ft
Distance of dart thrown by Samuel from the left wall = 11.5 ft
Height of dart thrown by Samuel above the ground = 5.5 ft
We know that general equation of a circle is;
(x - a)² + (y - b)² = r²
Since Height from the floor to the bulls eye is 5.67ft,then a = 5.67 ft
And also since Distance of the bulls eye from the wall to the left = 11 ft, then b = 11 ft
Thus;
(x - 11)² + (y - 5.67)² = 0.75²
(x - 11)² + (y - 5.67)² = 0.5625
Now, since he throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor. Thus;
r² = (11.5 - 11)² + (5.5 - 5.67)²
r² = 0.2789
r² of 0.2789 gotten here is lesser than 0.5625 gotten earlier, we can conclude that Samuel's dart does not land on the dart board.
Read more at; https://brainly.com/question/18430680
Richard and Teo have a combined age of 41. Richard is 11 years older than twice Teo's age. How old are Richard and Teo?
Richard is years old, and Teo is years old.
(Type whole numbers.)
Richard = R & Teo = T
Richard & Teo are combined 41 it means R + T = 41
R = 8 + 2T
R + T = 41 #1
R = 8 + 2T #2
replace 2 in 1
8 + 2T + T = 41
8 + 3T = 41
3T = 41 -8 = 33
T = 11
R = 8 + 2*11 = 30
result = richard is 30 & teo is 11 years old.
2 times of Teo is 22
and 8 years older it means + 8
= 30
This recipe makes 5 portions of fajitas.
Carly has 700 g of chicken, 800 g of peppers, 200 g of onion, 70 g of spice mix and 16 tortillas.
How much more of each ingredient will she need to make 15 portions by following this recipe?
Recipe: Serves 5
400 g chicken
600 g peppers
70 g onion
20 g spice mix
10 tortillas
PLS HELP ME I NEED IT BAD!!!!!!!!!!!!
Answer:
Chicken: 500g
Peppers: 1kg
Onions: 10g
Tortillas: 14
Step-by-step explanation:
hope this helps
Suppose the equation of line t is y=x
Answer:
Hi
Step-by-step explanation:
If you get an A on your math test, then you can choose where to go to dinner. If you can choose where to dinner, then you can go to your favorite restaurant. If you get an A on your math test, then you can go to your favorite restaurant. Law of Detachment Law of Detachment Law of Syllogism
Answer:
Law of Syllogism
Step-by-step explanation:
The scenario that is being described is an example of the Law of Syllogism. This law basically gives three statements the first causes the second (a=b), and the second causes the third (b=c), which therefore means that the first would cause the third (a=c). In this scenario, each part would have the following effect...
(a) get an A on the math test = (b) choose where to go for dinner
(b) choose where to go for dinner = (c) you can go to your favorite restaurant.
Therefore
(a) get an A on the math test = (c) you can go to your favorite restaurant.
⚠️⚠️⚠️ I WILL MARK BRAINLIEST ⚠️⚠️⚠️
Please help with 5-8 with working out please thanks , it’s due ASAP
Answer:
I can only help with 5 and 6 which both are A.
Explanation:
that's because Cosine is adjacent to the angle (the angle being 30 degrees and the side next to it is 43mm) divided by the hypotenuse (longest side of a right triangle. The 50 mm). A way you can remember the sin, cosine and tangent is SOH CAH TOA. Sine=opposite over hypotenuse, Cosine = adjacent over hypotenuse, Tangent = opposite over adjacent. For the next one, it is the same principal. X is adjacent to 22 degrees and the other number is the hypotenuse so it has to be Cosine.
Solve for x. Enter just a number for your answer.This question is from your 2 points
unit review packet. *
(2x + 43)
(2x-3)
Your answer
Answer:
35Step-by-step explanation:
Given angles are Consecutive interior angles
As per property, they add up to 180
2x+43 + 2x - 3 = 1804x + 40 = 1804x = 140x = 140/4x = 35here ,
the given angles are consecutive interioraccording to the question by the property they are add up to 180 degree .Now,
=> 2x +43 + 2x -3 = 180
=> 4x +40 = 180
=> 4x=180-40
=> 4x =140
=> X = 140/4
=> X = 35
the required answer is 35 .
Hannah uses a store gift card to pay for 3 pair of pants priced at $27 each. What is the change in
the value of the store gift card?
Answer:
If the gift card is $30 the remaining change is 3 dollars