Answers
which is :-
y=-2/3x+7/3
To graph a line with a given slope passing through a point, use the point-slope form of a linear equation. Convert the equation to slope-intercept form, [tex]y = mx+b[/tex]. Plot the line on a graph using the y-intercept and the slope to find additional points.
Explanation:To graph a line with a given slope and passing through a point, we can use the point-slope form of a linear equation, y - y1 = m(x - x1). In this case, the point-slope form would be y - 1 = (-2/3)(x - 2). We can simplify this equation into slope-intercept form, y = mx + b, by distributing the slope and rearranging the terms. After simplifying, the equation becomes y = (-2/3)x + 7/3. Finally, we can plot the line on a graph using the slope-intercept form equation by identifying the y-intercept at (0, 7/3) and using the slope to find additional points on the line.
Learn more about Graphing a line with slope and point here:https://brainly.com/question/24239298
#SPJ2
Related Questions
two attendants earn $6240 and $6220 per annum, respectively, exclusive of a bonus of $2640 per annum.
if both have a pension deduction of 20%,the difference in the pension deduction of the two attendants on a semimonthly basis is..........?
Answers
.. $4/24 = $(1/6) ≈ $0.17
If the payroll department is paying attention, the difference in deducted amounts will be $0.16 2/3 over the year. Some paychecks, it will be $0.16, and others it will be $0.17.
y-2y8y-6 is equivalent to:
Answers
The kinetic energy K (in joules) of a falling apple is represented by K=v squared divided by 2 where v is the speed of the apple (in meters per second). How fast is the apple traveling when the kinetic energy is 32 joules?
Answers
energy (k)=32
so
32=(1/2)v^2
(I'm pretty sure it is K=(1/2)mv^2, but ok)
times 2 both sides
64=v^2
sqrt both sides
8=v
8m/s is velocity
Answer:
8 meters per second
Step-by-step explanation:
Hi, to answer this question we simply have to substitute k=32 in the formula given and solve for v.
K= (v ^ 2) /2
Substituting K=32
32 = (v ^ 2) /2
Solving for v:
32x2= v ^ 2
64 =v ^ 2
√64 =v
8 =v
v= 8 meters per second
When the kinetic energy is 32 joules, the apple is traveling at a speed of 8 m/s.
Feel free to ask for more if needed or if you did not understand something.
Please help me I don't know this
Answers
Just plug in the values of x.
y= 1/2(-5)-2
y= -2.5-2
y=-4.5
First point: (-5, -4.5)
y= 1/2(-2)-2
y=-1-2
y=-3
Second point: (-2, -3)
y= 1/2(1)-2
y =.5-2
y=-1.5
Third point: (1,-1.5)
y= 1/2(3)-2
y= 1.5-2
y=-.5
Fourth point: (3, -0.5)
y= 1/2(6)-2
y=3-2
y=1
Fifth point: (6,1)
I hope this helps!
~kaikers
2. PB and J Array Ken has made a selection of square jam sandwiches for party, which he arranges in a single layer on the table in perfect rectangle. Sarah has brought along the same number of square peanut butter sandwiches, which she puts out, also as a single layer, to form a border vA (one sandwich wide) around Ken's Given that all of the sandwiches are the same size and they are all used, how many sandwiches could each person possibly have made?
Answers
Each person must have made 24 sandwiches.
Let's assume Ken arranged his sandwiches in a rectangular shape with length 'L' and width 'W'. Now Sarah arranged her sandwiches to form a border around Ken's rectangle. The solution diagram is attached below.
Ken needs as much sandwiches as area of rectangle i.e. number of Ken's sandwiches would be = LW.
It is clear that Sarah needs as much sandwiches as perimeter of rectangle and extra four sandwiches to put on corners. It means number of Sarah's sandwiches would be = 2·(L+W) + 4.
Given that all of the sandwiches are the same size and they are all used.
Ken and Sarah bought same number of sandwiches. So we need to solve the following equation :-
Number of Ken's sandwiches = Number of Sarah's sandwiches
LW = 2·(L+W) + 4
Using trial and error approach, we get 6 x 4 = 2 x (6 + 4) + 4.
So number of Ken's sandwiches would be LW = 6 x 4 = 24 sandwiches.
Hence, final answer is "Each person could have 24 sandwiches".
Gracie read 150 pages of a book she got for her birthday the book is 227 pages long whats the right equation
Answers
Rick shared his bag of grapes with his friends. He gave 2/10 of the bag to Melissa and 4/10 of the bag to Ryan. What fraction of the bag of grapes does Rick have left?
Answers
After giving away 2/10 of his grapes to Melissa and 4/10 to Ryan, Rick has 4/10 of his bag of grapes left.
Explanation:Rick gave away part of his bag of grapes to his friends: 2/10 to Melissa and 4/10 to Ryan. To find out what fraction of the bag he has left, we need to add together the fractions that he gave away and then subtract this from the whole bag, which is represented by the fraction 1 (or 10/10).
Rick gave away:
Melissa: 2/10
Ryan: 4/10
Total given away: 2/10 + 4/10 = 6/10
Fraction of the bag Rick has left:
1 (or 10/10) - 6/10 = 4/10
Therefore, Rick has 4/10 of the bag of grapes left after sharing with his friends.
To find out how much of the bag of grapes Rick has left, we need to subtract the fractions that he gave to Melissa and Ryan from 1. Rick has 2/5 of the bag of grapes left.
Explanation:To find out how much of the bag of grapes Rick has left, we need to subtract the fractions that he gave to Melissa and Ryan from 1.
Given that Rick gave 2/10 of the bag to Melissa and 4/10 of the bag to Ryan, we can calculate the fraction of the bag he has left by subtracting these two fractions from 1:
1 - 2/10 - 4/10 = 1 - 6/10 = 4/10 = 2/5
Therefore, Rick has 2/5 of the bag of grapes left.
The base of a parallelogram is 10 inches the height is 2 inches more than half the base find the area
Answers
Given is a parallelogram whose base is b = 10 inches and it says height is 2 more than half-value of base i.e. h = 2 + (b ÷ 2).
So height is h = 2 + (10 ÷ 2) = 2 + 5
⇒ h = 7 inches.
We know the formula for area of parallelogram is given as follows :-
Area of parallelogram = base x height
Area of parallelogram = 10 inches x 7 inches
Area of parallelogram = 70 squared inches.
Hence, the final answer is 70 squared inches.
Final answer:
To get the area of the parallelogram, first determine the height, which is 5 inches plus 2 inches, totaling 7 inches. Using the formula (base × height), the area is calculated as 10 inches times 7 inches, resulting in 70 square inches.
Explanation:
To find the area of the parallelogram, we need to identify its base and height. The base is already given as 10 inches. Next, we calculate the height, which the problem states as '2 inches more than half the base.' First, we find half of the base: 10 inches / 2 = 5 inches. Then, add 2 inches to get the height: 5 inches + 2 inches = 7 inches. Now we have the height of the parallelogram.
Using the formula for the area of a parallelogram (base × height), we can now calculate the area.
Area = 10 inches × 7 inches = 70 square inches.
Thus, the area of the parallelogram is 70 square inches.
The perimeter of a rectangle is 80x. The base is two times the height. In terms of x, what are the dimensions of the rectangle?
a.
h = 10x; b = 10x
c.
h = 10.3x, b = 20.6x
b.
h = 13.3x; b = 26.6x
d.
h = 5x; b = 25x
Answers
P = 2b + 2h
Where,
b: base
h: height
Also, as a data of the problem we have:
base is two times the height:
b = 2h
Substituting we have:
P = 2 (2h) + 2h
Clearing h:
6h = P
h = P / 6
h = (80x) / 6
h = (40/3) x
The base will be
b = 2h
b = (80/3) x
Answer:
the dimensions of the rectangle are
b = (80/3) x
h = (40/3) x
b. h = 13.3x; b = 26.6x
h = 13.3x; b = 26.6x
Explanation:
Perimeter of the rectangle = 2(base+height)
80x = 2(base+height)
base + height = 40x ........> I
Now, we are given that the base is 2 times the height, this means that:
base = 2*height ..........> II
Substitute with II in I:
base + height = 40x
2*height + height = 40x
3*height = 40x
height = 13.3x
Substitute with the height in equation II to get the base as follows:
base = 2*height
base = 2 * 13.3x = 26.6x
Hope this helps :)
Need help with 8 plz help me thx
Answers
What must be done before adding or subtracting fractions
Answers
Example: ¹⁄₂ + ²⁄₃
¹⁄₂(³⁄₃) + ²⁄₃(²⁄₂) (Let’s make it six)
³⁄₆ + ⁴⁄₆ = ⁷⁄₆ (Add now)
Here is a geometrical explanation for it. Imagine you have two pizzas. One pizza is bigger than the other. Both pizzas are cut into 8 equal slices. Is one of slice from the big pizza the same as one slice from the little pizza? Nope. The slice from the little pizza is smaller than the one from the big pizza. This is why you need a common denominator. One slice of the bigger pizza is not equal to one slice of the smaller pizza.
I hope this helps! Don’t hesitate to message me if you have any questions!
Can someone help me please and thank you
Answers
A) y = 3x -10
B) y = (1/2)x +4
C) y = x -1
is the following growth or decay? f(x)= 3(0.4)^x
Answers
What do I put? I am having so much trouble with this.
Answers
13. [tex] \frac{4}{10} , \frac{4}{100} [/tex]
16. [tex] \frac{3}{9} [/tex] is already in simplest form.
Two angles are complementary. If one angle measures 32 degrees, what is the measure of the second angle?
Select one:
A. 48 degrees
B. 148 degrees
C. 58 degrees
D. 68 degrees
Answers
Two angles are complementary if they add up to 90 degrees. If one angle measures 32 degrees, the other angle measures 58 degrees, which is found by subtracting 32 from 90.
Explanation:The question is asking about complementary angles, which are two angles that add up to 90 degrees. If one angle measures 32 degrees, we can find the measure of the second angle by subtracting 32 degrees from 90 degrees since the two angles must sum to 90 degrees.
The calculation would be: 90 degrees - 32 degrees = 58 degrees.
Therefore, the measure of the second angle is 58 degrees, making the correct answer:
C. 58 degrees
Circles with centers (2,1) and (8,9) have radii 1 and 9, respectively. The equation of a common external tangent to the circles can be written in the form y=mx+b with m < 0. What is b?
Answers
hope this helps<3
A spider ate 25% more bugs this month than last month. The spider ate 8 bugs last month. How many bugs did the spider eat this month
Answers
Answer: 10 bugs.
Step-by-step explanation:
Need help with 3 and 4.
Answers
Answer: third option 11.5
Explanation:
1) Since this is a right triangle you can use the trigonometric ratios.
2) sin (α) = opposite-leg / hypotenuse
3) α = 35°; opposite-lge = x; hypotenuse = 20.
4) substitute values
sin(35°) = x / 20
5) Solve for x
x = 20 * sin (35°) = 11.47
6) Round to the nearest tenth: 11.5
Answer: third option 11.5
B) Problem 4
Answer: first option 8.3
Explanation:
1) Since it is a right triangle you can use trigonometric ratios
2) cos (α) = adjacent - leg / hypotenuse
3) α = 41°; adjacent - leg = x; hypotenuse = 11
4) Substitute values
cos (41°) = x / 11
5) Solve for x: x = 11 * cos (41°) = 8.30
6) Round to the nearest tenth: x = 8.3
Answer: 8.3
Michael’s grandmother made two pies for Thanksgiving, a sweet potato pie and a chocolate pie. Each pie had 8 slices. All of the sweet potato pie and 2 slices of the chocolate pie were eaten. How much pie did Michael’s family eat on Thanksgiving? A) 5 8 pie B) 10 16 pie C) 1 1 4 pies Eliminate D) 1 3 8 pies
Answers
Bill pays $49 for an item after it has been discounted 30%. What was the original price of the item?
Answers
49÷(70/100)= $70
Therefore, the price of the original product was $70
morris rarely arrives home before 4:00 p.m. it is now 3:20 p.m. estimate the probability that morris will arrive home in the next 30 minutes
Answers
Dave walked a distance of 40 meters to the north. It took him 50 seconds. What was his velocity?
A. 1.25 m/s north
B. 5 m/s north
C. 4 m/s north
D. 0.8 m/s north
Answers
How do I graph this ?
Answers
The graph below shows a line segment PQ:
Graph of line segment PQ with endpoints at negative 2 comma 1 and 4 comma 4
What is the slope of the line segment PQ?
−2
−1 over 2
1 over 2
2
Answers
.. (1 -4)/(-2-4) = -3/-6 = 1/2
The 3rd selection is appropriate.
If a + 4b = 33 and 6a + 3b = 51, what is the value of a + b?
(I got 5 but it was wrong)
Answers
Answer:
12
Step-by-step explanation:
Since the problem asks for $a+b$, we look for a way to isolate $a+b$ from the given equations.
Notice that $a + 6a = 7a$ and $4b + 3b = 7b$. This gives us the key to isolating $a + b$. We simply add the two equations together:\begin{align*}
7a + 7b &= 84 \\
7(a + b) &= 84 \\
a + b &= \frac{84}{7} \\
a + b &= \boxed{12}
\end{align*}
What are three rational numbers between 0.2 and 0.3 (one must be a fraction)?
Answers
If you can buy one can of pineapple chunks for $2 then how many can you buy with $10
Answers
(did you see my pun?)
Hope this helps!
graph the line whose x-intercept is -8 and whose y-intercept is 9
Answers
.. x/-8 +y/9 = 1
The graph of the line whose y intercept is 8 and whose x intercept is 9 is given below.
What are intercepts?The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
Given:
An intercept form of the standard line is,
x/a + y/b = 1, where a and b are x-intercept and y-intercept form of the line.
So, the equation is,
x/-8 + y/9 = 1
And the graph is given in the attached image.
Therefore, the graph is given.
To learn more about the intercepts;
https://brainly.com/question/14180189
#SPJ2
6TH GRADE MATH
someone please solve this
Answers
y = 14x
Hope this helps!
x14=y or x times 14 = y
Its hard to type out due to X being the number of pies sold and x being used as the multiplication symbol.
But I hope this help!
What is the effect if two parallel lines are rotated 90° clockwise? A)change'direction but remain parallel
B) change direction but are now perpendicular
C) no longer parallel because one line changed direction
D)no longer parallel because two lines changed direction (NEED HELP)
Answers
This is because they both rotate 90°, and they still are parallel because they were like they were before but turned sideways.
Option: A is the correct answer.
A) change direction but remain parallel.
Step-by-step explanation:We know that when same rigid transformation is applied to two lines which are parallel to each other ,then after rigid transformation they will behave the same i.e. same relationship hold between the two the only difference will be in their location.
Hence, when the both the parallel lines are rotated 90° clockwise then the direction of the line will change but they will remain parallel.