Which of the following shows the line with a slope of -1/2 through the point (-3, 2) graphed correctly?
Answers
The linear equation is written as:
y = (-1/2)*(x + 3) + 2
And its graph can be seen in the image at the end.
Which one is the graph of the line?Here we don't have the options, so I will post the graph of the line.
A linear equation with a slope a and a known poing (h, k) is written as:
y = a*(x - h) + k
Here we know that the slope is -1/2 and the point is (-3, 2), then the linear equation is:
y = (-1/2)*(x + 3) + 2
To graph the linear equation we just need to find two points on the line and connect them with a line, we already know one, so let's find another.
If we use x = 1, then:
y = (-1/2)*(1 + 3) + 2
y = (-1/2)*4 + 2
y = -4/2 + 2 = -2 + 2 = 0
y = 0
The other point is (1, 0)
With these two we can draw the graph you can see below.
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Related Questions
Two cars leave at the same time but travel at different speeds. car a travels 20 miles per hour faster than car b. in the time it takes car a to travel 350 miles, car b travels 250 miles. find the speed of car a.
Answers
Two cars leave at the same time but travel at different speeds. Car a travels 20 miles per hour faster than car b. In the time it takes car a to travel 350 miles, car b travels 250 miles.
The number of hours needed for Car B to overtake Car A is greater then 5 hours, Car A = 60km/h; Car B= 75km/h.
After h hours, the number of kilometers covered by Car A is 60*h
After h hours, the number of kilometers covered by Car B is 75(h-1)… since Car B started one hour later.
For Car B to overtake Car A,
75(h-1) > 60h
75h- 75 > 60h
75h - 60h > 75
15h > 75
h > 75/15
h > 5 hours
Hence the answer is, the number of hours needed for Car B to overtake Car A is greater then 5 hours, Car A = 60km/h; Car B= 75km/h.
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Savio leaves his home at 07 30 to drive to work.
He drives a distance of 50 miles.
Savio thinks he drives at an average speed of 40 miles per hour,
(a) If Savio is correct, at what time will he arrive at work?
Answers
40 miles/60 minutes :: 50miles/x minutes
Cross multiply 40x = 50 * 60
40x = 3000
Divide by 40 on both sides
X = 75 minutes.
It will take Savio 75 minutes to drive 50 miles or he will reach his destination at 8:45
a cone-shaped paper drinking cup is to be made to hold 27cm3 of water. find the height and radius of the cup that will use the smallest amount of paper.
Answers
The height and radius of the cone-shaped cup that will use the smallest amount of paper, that is the maximum volume is 3.72 and 2.632 respectively.
Formula used in the solution is
Volume of the cone= (1/3)π(r^2)h
Area of the cone= πr√(l^2 + r^2)
Given, the volume of the cone is 27 cm^3.
(1/3)π(r^2)h =27
Simplifying the equation to get the value of r.
π(r^2)=81/h
r^2=81/hπ
[tex]r=\sqrt{\frac{81}{\pi h} }[/tex]
Substituting the value of r in area, we get
[tex]A=\pi \sqrt{\frac{81}{\pi h} } \sqrt{h^{2} + \frac{81}{\pi h} }[/tex]
[tex]\frac{dA}{dh} =\pi \sqrt{\frac{81}{\pi h} } \sqrt{h^{2} + \frac{81}{\pi h} }[/tex]
dA/dh=√81 × (π - 162/[tex]h^{3}[/tex]) × 1/√(πh + 81/[tex]h^{2}[/tex])
At dA/dh=0, we will get,
√81 × (π - 162/[tex]h^{3}[/tex]) × 1/√(πh + 81/[tex]h^{2}[/tex])=0
√81 × (π - 162/[tex]h^{3}[/tex])=0
[tex]\pi - \frac{162}{h^{3} }=0[/tex]
Thus, [tex]\pi h^{3} -162=0[/tex]
[tex]\pi h^{3} =162[/tex]
[tex]h^{3} =\frac{162}{\pi}[/tex]
h^3= 51.5662015618
h= 3.7221
Now, substitute h in radius,
[tex]r=\sqrt{\frac{81}{\pi \times 3.7221} }[/tex]
r=2.632
Hence, the height of the cone shaped cup is 3.7221 and the radius is 2.632.
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(x-6) (x³ + 4x³ + 6x² + 2x)
Answers
Answer:
[tex]5x^4-24x^3-34x^2-12x[/tex]
Quetion
Enrique plan to ell hi car and place a 6-line ad. Hi paper charge $42 for the firt two line and$6. 75 per extra line, to run the ad for one week. What will Enrique' ad cot to run for three week?
Answers
The cost of running the ad for three weeks by Enrique will be $207.
To estimate the overall cost for three weeks, we need the amount for one week. Further, we need the cost for six lines advertisement. So, performing calculation for the cost of advertisement of six lines in one week.
Total cost in one week = charge for first two lines + number of additional lines × cost of each additional line
Keep the values in formula. Out of six lines, the additional will be 4 as (6-2=4).
Total cost in one week = 42 + 4×6.75
Performing multiplication
Total cost in one week = 42 + 27
Performing addition
Total cost in one week = $69
Cost for three weeks = 69×3
Performing multiplication
Cost for three weeks = $207
Thus, Enrique will pay $207 for three weeks.
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how do i solve this? I need proper assistance
Answers
Answer:
25
Step-by-step explanation:
(33 + 2z)^2 when z = -19
substitute in -19 in place of z:
(33 + 2(-19))^2
(33 + (-38))^2
(33 -38)^2
(-5)^2
= 25
30. three fair six-sided dice are rolled. what is the probability that the values shown on two of the dice sum to the value shown on the remaining die?
Answers
Total number of cases possible when 3 Dice roll= 6^3=216
Now we have to find the number of cases when values shown on two of the dice sum to the value shown on the remaining, probability is 0.28
Now we need to count the instances where the values on two dice add up to the value on the other die, which is one. If a die shows 6, the remaining two dice must either show (5,1) or (4,2), or (3,3)
Total number of scenarios that could occur in this situation: 3!+3!+3!/2!=15
2. If a die shows 5, the other two dice must either display (4,1) or (3,2)
The total cases that could occur in this scenario are 3!+3! =12.
3. If a die shows 4, the other two dice must either display (3,1) or (2,2)
Total number of scenarios that could occur in this situation: 3!+3!/2!=9
4. If a die shows 3, the other two dice must also show 3. (2,1)
The total number of cases possible in this scenario= is 3!/2! =3
Total cases possible= 15+12+9+6+3=45
Probability= 45/216=5/24= 0.208
probability is 0.208
correct option is (D).
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The question was incomplete. Check below the complete question.
Three fair six-sided dice are rolled. What is the probability that the values shown on two of the dice sum to the value shown on the remaining die?
(A) 1/6
(B) 13/72
(C) 7/36
(D) 5/24
(E) 2/9
-2(v + 1) + 5v = 3(v + 1) - 2
Answers
Answer: no solution
Step-by-step explanation:
distributing we have
(-2v-2) + 5v = (3v+3)-2
which will be equal to
3v -2 = 3v + 1
subtracting 3v we have
-2 = 1 which is false so no solution
What’s 6 x 10 (just for fun)
Answers
Answer:
Easy its answer is 60. OK
Answer:
6 x 10 = 60 / sixty
Step-by-step explanation:
Find the area of the sas triangle with side lengths 29 and 36 and included angle 62 degrees.
Answers
To find the Area of the sas triangle with side lengths 29 and 36 and included angle 62 degrees is 459.36.
A triangle's feature known as SAS, or "Side, Angle, Side," has two sides and an angle that are both known.
The space occupied between the sides of the SAS triangle in a plane can thus be calculated with the use of the SAS triangle area formula.
The formula to find area of SAS triangle is:
Area = ½ ab Sin C = ½ × 29 × 36 × sin 62
Thus, Area = 522 × sin 62 = 522 × 0.88 = 459.36
Hence, Area of SAS triangle with side lengths 29 and 36 and included angle 62 degrees is 459.36.
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WRITE THE EQUATION IN
SLOPE-INTERCEPT FORM
(1,-5) and (-2,-17)
Answers
Answer:
f(x) = 4x -9
Step-by-step explanation:
The slope-intercept form is f(x) = mx + b, where m is the slope and b is the y-intercept.
First, we need to find the slope, m.
= [tex]\frac{-5-(-17)}{1-(-2)}[/tex]
= [tex]\frac{12}{3}[/tex]
= [tex]4[/tex]
m = 4, and now we plug it into the equation, using any given point, (1,-5) in this case.
f(x) = 4x + b
(-5) = 4(1) + b
-5 = 4 + b
b = -9
Now we find the equation: f(x) = 4x -9, and if we plug (-2,-17) in, we should get the same number as if we plug in (1,-5).
Makayla is organizing textbooks on her bookshelf. She has a Spanish textbook, a math textbook, a physics textbook, and a writing textbook. How many different ways can she line the textbooks up on her bookshelf?
Answers
The number of different possible ways Makayla can line the textbooks up on her bookshelf would be= 24
What is polynomials?This is defined as the multiplication of a figure down to the figure one and is often represented as n!.
The different types of text books that are being arranged at the bookshelf;
a Spanish textbook,
a math textbook,
a physics textbook, and
a writing textbook.
This is a total of 4. Therefore, the number of different possible ways they can be arranged; 4!= 4×3×2×1 = 24 ways.
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A park is in the shape of a rectangle and measures 40 m by 30 m. How much longer is it to walk from A to B along the diagonal of the park than to walk along the edges of the park?
Answers
20 m longer it is to walk from A to B along the diagonal of the walk than to walk along the edges of the park.
Given:
Assume ABCD is a rectangular park of right triangles ABC of length = 40m, width = 30m, ∠C = 90
In the right-angled triangle ABC,
By Pythagoras' theorem,
AB² = AC² + BC²
AB² = 30² + 40²
AB² = 900 + 1600
AB² = 2500
AB² = [tex]\sqrt{2500}[/tex]
AB = 50m
The distance from A to B along the diagonal of the park = 50m
The distance from A through to C = 30m.
The distance from A through C to B = 30 + 40 = 70m.
Therefore, 20 m longer it is to walk from the diagonal of the park to walk along the edges of the park.
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Points B, C and D lie on a straight line.
AC is perpendicular to BD.
BC = 4cm and BD = 24 cm.
Triangle ABC has area 36 cm^2
Calculate the size of angle x.
Answers
The measure of the angle x in the right triangle ABD is 38.06 degrees.
Points B, C and D lie on a straight line.
AC is perpendicular to BD.
BC = 4cm and BD = 24 cm.
Triangle ABC has area 36 [tex]cm^{2}[/tex]
To Calculate the size of angle x.
What is a right angle triangle?
A right angle triangle has one of its angles as 90 degrees. Therefore, the sides of the triangle can be found using trigonometric ratios.
area of a triangle = 1 / 2 bh
where
b = base of triangle
h = height of triangle
Hence,
area of a triangle = 1 / 2 × 4 × h
24 = 2h
h = 24 / 2
h = 12 cm
DC = 24 - 4 = 20 cm
AC = 12 cm
tan x = opposite / adjacent
tan x = 12 / 20
x = tan ⁻¹ 0.6
x = 38.06
x = 38.06 degrees.
Hence the answer is the measure of the angle x in the right triangle ABD is 38.06 degrees.
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I need help now!!!!!!
Answers
Answer:
6 weeks = 42 days
Step-by-step explanation:
6 weeks = 42 days Formula: multiply the value in weeks by the conversion factor '7'. So, 6 weeks = 6 × 7 = 42 days.
Graph ABC and its image after a dilation centered at the given point using the given scale factor.
A(1, 2), B( - 1, − 1), C(2, — 1); dilation centered at point B with a scale factor of 2
Answers
The graph △ABC and its image is A′(2, 4), B′(-2, -2), C′(4, −2).
What is the coordinate rule?
Rules for the coordinate plane: (x, y) Where h and k are the horizontal and vertical shifts, respectively, we have (x ± h, y ± k).
Here, we have
The coordinate rule for dilation with k = 2 to find the coordinates of the vertices of the image.
(x, y) → (2x, 2y)
A(2, 1) → A′(2, 4)
B(4, 1) → B′(-2, -2)
C(4, −1) → C′(4, −2)
Each side length of △A′B′C′ is longer than its corresponding side by the scale factor. The corresponding sides are parallel because their slopes are the same.
Hence, after a dilation centered at the given point using the given scale factor the image is A′(2, 4), B′(-2, -2), C′(4, −2).
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Kayla went deep sea fishing. She cast her line 15 feet underneath the water. Which number best represents this integer?
Answers
-4.5720m is the best number to represent this integer.
What is integer?
An integer (pronounced IN-tuh-jer) is a whole number (not a fractional number) that can be positive, negative, or zero.
What is Fractional number?
A fraction is numerical value that is a part of a whole. It is evaluated by dividing a whole into number of parts. For example, ½ represents half of a whole number or a thing.
Given that;
Kayla want deep sea fishing,
So, she cast her line = 15 feet under water
First, we change feet into meter,
1 ft = 0.3048m
so, in 15feet there is ;
15 x 0.3048 = 4.5720 m
∴ Kayla goes underneath values are consider into negative integer.
∵ the correct answer is -4.5720m under the sea
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what does -2 x -3x + 1 = ?
Answers
The equation is -2 x -3x + 1 and value of x is 1/5
Given,
In the question:
The equation is :
-2x -3x +1 =?
To solve the above equation:
Now, According to the question:
For finding the value of x
-2x -3x +1
Calculate sum or difference
-5x + 1
-5x = -1
x = 1/5
Hence, The equation is -2 x -3x + 1 and value of x is 1/5
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800 kenyan shillings to U.S. Dollars
(Money conversion)
Answers
Answer:
hope this helps
Step-by-step explanation:
800 Kenyan Shilling equals
6,57 United States Dollar
23 Nov, 02:01 UTC · Disclaimer
800
Kenyan Shilling
Kenyan Shilling
6.57
United States Dollar
United States Dollar
Answer:
800 Kenyan shillings = 6.57 U.S. Dollars.
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 15 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Evaluate the problem
Answers
Answer:
2 4/9
Step-by-step explanation:
1.) 10/9-(-1 1/3)
2.) 10/9+ 1 1/3
3.) 3x1+1=4/3
4.)10/9+4/3
5.)(10×3)+(4×9)
6.)30+36
7.)66/27
8.) 2 4/9
3.26666 in fraction form
Answers
Answer:
3 13333/50000
Step-by-step explanation:
Answer:
The fraction can be 3(26666)/(100000)
Step-by-step explanation:
Find the equation of the line specified. the line passes through the points ( 2, 1) and ( 5, 4) a. y = x 1 c. y = x - 1 b. y = -x - 1 d. y = x 3
Answers
Answer: y=x-1
Step-by-step explanation:
to solve for the slope you do
4-1=3
5-2=3
3/3= 1x=x
to solve for the y-intercept you do
1=1(2)
1-2=-1
richard owns 600 red marbles and ? number of blue marbles. after he gave away 3/5 of the red marbles and 2/3 of the blue marbles, he now has an equal number of red and blue marbles. find how many more blue marbles than red marbles he had originally.
Answers
he has 90 more then he originally had
Step-by-step explanation:
Solve the word problem. Be sure to use the six steps!
The city of Harris recycles 5,800 pounds of plastic per week. Each resident recycles 4 pounds per week. How many residents live in Harris?
Answers
Answer:
1450 residents
Step-by-step explanation:
Number of residents who live in Harris
= 5800 pounds ÷ 4 pounds
= 1450 residents
through: (-4, 3), perp. to y = -2x+5
Answers
Answer:
y = [tex]\frac{1}{2}[/tex] x + 5
Step-by-step explanation:
Perp means perpendicular?
Perpendicular slopes are the opposite reciprocals of each other. So the slope would be [tex]\frac{1}{2}[/tex]
Use -4 for x and 3 for y and the slope of [tex]\frac{1}{2}[/tex] to find the y intercept
y=mx +b
3 = [tex]\frac{1}{2}[/tex](-4) + b
3 = -2 + b Add 2 to both sides
5 = b
y = mx +b We know the slope (m) is [tex]\frac{1}{2}[/tex] and the y intercept (b) is 5.
y=mx+ b
y = [tex]\frac{1}{2}[/tex] x + 5
Jonas is a runner. He ran m miles last week. His goal this week was to run one mile more than twice the miles he ran last week. If he tripled his goal, write an expression in simplest form to show how many more miles he ran this week compared to last.
Answers
Expression for the miles jonas ran this week is 6m + 3 where m is the miles ran in the last week.
Given that jonas ran 'm' miles in last week.
acc. to statement he run one mile more than twice the miles he ran last week, so the equation will now become:
2m + 1 = miles in this week.
Again if he tripled his goal then the equation would become :
3(2m + 1 ) = new goal
6m + 3 = new goal
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The graph of the function is graph (a) and the table of values of the function f(x) = (3/4)ˣ is
x -2 -1 0 1 2
y 16/9 4/3 1 3/4 9/16
How to make the table of values of the functionFrom the question, we have the following equation that can be used in our computation:
f(x) = (3/4)ˣ
The x values on the table of values are
x = -2, -1, 0, 1 and 2
So, we replace x in the function f(x) = (3/4)ˣ with x = -2, -1, 0, 1 and 2
So, we have
f(-2) = (3/4)⁻² = 16/9
f(-1) = (3/4)⁻¹ = 4/3
f(0) = (3/4)⁰ = 1
f(1) = (3/4)¹ = 3/4
f(2) = (3/4)² = 9/16
This implies that
The table of values is
x -2 -1 0 1 2
y 16/9 4/3 1 3/4 9/16
When this is represented on a graph, it crosses the y-axis at (0, 1)
This is represented by graph (a)
Hence, the graph of the function is graph (a)
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X=1 x=-8 Are the two linear equations parallel, perpendicular, or neither?
Answers
The two linear equations are parallel lines
What are parallel lines?parallel lines are straight line that never intersects or meet each other.
some features of parallel lines include
the lines will not meetthe slope of the lines are equalthe lines are equal distance apartIn the problem, x = 1 and x = -8 are both vertical lines. In a cartesian coordinate x = 1 is in the positive coordinate and x = -8 is in the negative coordinate
The slope of both lines are zero
The equal distance apart is calculated as
| -8 - 1 | = 9 units
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Kelly is knitting a scarf for her brother. It took her 13 hour to knit 38 foot of the scarf. How fast is kelly's knitting speed, in feet per hour?.
Answers
Adam, Barry and Charlie each buy some stamps.
Adam buys x stamps.
Charlie buys 5 more stamps than Adam.
(c) Write down an expression, in terms of x , for the number of stamps Charlie buys.
Please help me i need it now
Answers
If Adam buys x stamps and Charlie buys 5 more stamps than Adam, then the expression in terms of x for the number of stamps Charlie buys is x + 5
The number of stamps that Adam buys = x
The expression is the mathematical statement that consist of different variable, numbers and arithmetic operators. The arithmetic operators are addition, subtraction, division and multiplication. The expression does not contains any equal signs or inequality signs
Charlie buys 5 more stamps than Adam.
Then the expression will be
The number of stamps that Charlie buys = x + 5
Hence, if Adam buys x stamps and Charlie buys 5 more stamps than Adam, then the expression in terms of x for the number of stamps Charlie buys is x + 5
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