Answer:
1.
(0,6)
(-1,6)
(3,12)
2.
(0,4)
(-1,6)
Step-by-step explanation:
The rule for the first question is y = 2x + 6
We can substitute the numbers for each equation.
6 = 2(0) + 6
6 = 6
So (0,6) is correct.
4 = 2(-1) + 6
4 = 4
So (-1,4) is correct as well.
-4 = 2(-1) + 6
-4 ≠ 4
(-1,-4) is incorrect.
12 = 2(3) + 6
12 = 12
So this answer is correct as well.
The second question‘s rule is that y = 4 - 2x. So we can substitute the numbers.
2 = 4 - 2(-1)
2 ≠ 6
This is incorrect.
4 = 4 - 2(0)
4 = 4
This answer is correct.
6 = 4 - 2(-1)
6 = 6
This answer is correct as well.
6 = 4 - 2(1)
6 ≠ 2
This answer is incorrect as well.
(10 − 6)3 ∙ 4(2) + (10 + 2)2, (8 − 6)5 ∙ 2(-4) + (6 − 8)0,
(5-2)-5 x 3(2) + (5+2)0
Answer:
120, -80, -90
Step-by-step explanation:
Use order of operations to solve each:
(10 − 6)3 ∙ 4(2) + (10 + 2)2
(4)3 x 4(2) + (12)2
12 x 8 + 24
96 + 24 = 120
(8 − 6)5 ∙ 2(-4) + (6 − 8)0
(2)5 x (-8) + (-2)0
10 x (-8) + 0 = -80
(5-2)-5 x 3(2) + (5+2)0
(3)-5 x 6 + (7)0
-15 x 6 + 0 = -90
Find the area of the sector of the circle.
Answer:
9π
8
Step-by-step explanation:
Formula= (x/360) π r^2
(45/360)3^2= 9
8
(Don't forget the π)
Answer= 9π
8
The playing field for a particular sport is a rectangle whose length is 4 feet more than twice the width. The perimeter of the playing field is 200 feet. Find the dimensions of the playing field.
Answer:
The length and width of the field are 68ft and 32ft respectively
Step-by-step explanation:
Given:
Rectangular Playing Field
Perimeter. P = 200 ft
Required
The dimension of the field (Length and Width)
Let L and W represent the length and the width of the field.
From the question, L is 4 more than twice of W.
This means
L = 4 + 2W
Provided that the playing field is rectangular in shape;
We need to make use of the formula of perimeter of a rectangle.
P = 2(L + W)
Substitute 200 for P
200 = 2(L + W)
Divide through by 2
[tex]\frac{200}{2} = \frac{2(L + W)}{2}[/tex]
100 = L + W
Recall that L = 4 + 2W
Substitute 4 + 2W for L
100 = L + W becomes
100 = 4 + 2W + W
100 = 4 + 3W
Subtract 4 form both sides
100 - 4 = 4 + 3W - 4
96 = 3W
Divide both sided by 3
[tex]\frac{96}{3} = \frac{3W}{3}[/tex]
32 = W
W = 32
Recall that L = 4 + 2W
Substitute 32 for W
L = 4 + 2(32)
L = 4 + 64
L = 68
Hence the length and width of the field are 68ft anf 32ft respectively
Which value in this data set is an outlier?
4,5, 1, 7,4,5,8,9,6,5,4,9,7
O A 1
OB. 2
3
OD
9
Answer:
1 is the out lier
Step-by-step explanation:
if you put them in order: 1, 4, 4, 4, 5, 5, 5, 6, 7, 7, 8, 9, 9
They are in order exept for the one.
The marked price of a water cooler is $ 4500. The shopkeeper offers an off-season discount of 18% on it. Find its selling price.
Answer:
$3690
Step-by-step explanation:
Let's first find what percent of the original price it is being sold for.
100%-18%=82%
The water cooler is being sold for 82% of its original price.
Let's now find 82% of 4500.
0.82*4500=3690
The selling price is $3690
Answer:
3690
Step-by-step explanation:
the original price is 4500
for decreasing or discount we use this formula x discount upo 100 multiply by the original price. so for this question if we apply the formula it will be
18upon 100 x4500. the answer comes as 810. noww we subtract the original price from the discounted price. so 4500-810=3690. comes as ur selling price
What is the solution to the inequality |X-4|<3?
-7
1
x < -7 or x < -1
x> 1 or x<7
mutlak değerden + veya- çıkar.
|X-4|<3
-3 <x-4 <3
-3+4 <x <3+4
1 <x <7
The solution to the inequality |x-4| < 3 is x> 1 or x<7
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
An inequality,
|x-4| < 3.
Simplifying,
-3 < x - 4 < 3
Adding 4 to all sides,
1 < x < 7
Therefore, the solution is 1 < x < 7.
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What is the numerator of the next term in the arithmetic sequence?
1/2 2/2 3/2 4/2
Answer:
5
Step-by-step explanation:
The numerator is the value on top, above the denominator. In an arithmetic sequence you are increasing by the same amount each time. In this case, you are increasing by 1/2 each time. 4/2 plus 1/2 is 5/2, so your numerator is 5.
5) A bowl contains 6 tangerines and 4 apples. John randomly selects one piece of fruit, and then Pam randomly selects one of
the remaining pieces of fruit. What is the probability that John selects a tangerine and Pam selects an apple?
Pls help
A rectangle is 36 inches x 48 inches.
Pin.
What is its perimeter?
What is its area?
Answer:
Area is: 1,728 inches
Perimeter is: 168 inches
Step-by-step explanation:
Area= Length times width
Perimeter= length plus length plus width plus width.
Answer:
1.728 is the perimeter. the area is 84.
Step-by-step explanation:
all you do multiply for perimeter and add for area.
Find the volume of this figure
Answer:
74
Step-by-step explanation:
you find the volume of each one by doing length * width * height and once you find the volume of all of them which is 36, 2, 36 you add them all together and you get 74
Answer:
74 ft
Step-by-step explanation:
Volume = length x width x height
For the 1st square - 3 x 3 x 4
For the rectangle in the middle - 1 x 1 x 2
For the last big square - 3 x 3 x 4
___________________________________
3 x 3 x 4 = 36
3 x 3 x 4 = 36
1 x 1 x 2 = 2
___________________________________
36 + 36 + 2 = 74
___________________________________
The volume of this figure is 74 ft
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josh built a circular flower bed in his backyard. the radius of the flower bed is 12 feet. he wants to find the circumference of the flower bed. he uses 3.14 for pi. what is the approximate circumference for the flower bed?
75.34
Step-by-step explanation:
1.To find the circumference, you have to multiply the diameter times pi (3.14).
2.The radius (12) is half of the diameter
3. The diameter (12x2) is 24.
4. 24x3.14 is 75.36
So, the approx. circumference is 75.36.
Answer:
Step-by-step explanation:
Answer:75ft
The equations 4 x minus 5 y = 5, 3 x + 10 y = 20, 4 x minus 5 y = negative 5, and 3 x + 10 y = negative 20 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, 1) and (2.5, 3). Orange line goes through (0, negative 1) and (2.5, 1). Blue line goes through (0, 2) and (3.5, 1). Pink line goes through (0, negative 2) and (3.5, negative 3). Which system of equations has a solution of approximately (–2.7, –1.2)? 4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20 4 x minus 5 y = 5 and 3 x + 10 y = 20 4 x minus 5 y = 5 and 3 x + 10 y = negative 20 4 x minus 5 y = negative 5 and 3 x + 10 y = 20
Answer:
First one:
4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20
Step-by-step explanation:
4 x - 5 y = -5 (1)
3 x + 10 y = -20 (2)
Multiply (1) by 2 and add to (×)
8x - 10y = -10
3x + 10y = -20
11x = -30
x = -30/11 = -2.727272
x = -2.7
4(-30/11) - 5y = -5
5y = -65/11
y = -13/11 = -1.18181818
y = -1.2
Answer:
4 x - 5 y = - 5 and 3 x + 10 y = - 20
Step-by-step explanation:
4 x - 5 y = -5 (1)
3 x + 10 y = -20 (2)
Multiply (1) by 2 and add to (×)
8x - 10y = -10
3x + 10y = -20
11x = -30
x = -30/11 = -2.727272
x = -2.7
4(-30/11) - 5y = -5
5y = -65/11
y = -13/11 = -1.18181818
y = -1.2
hope this helps..
Alina has been collecting video games for a year. The table below shows how many games she has received over
the year.
Amount of video games
4
Birthday
Holidays
School trades
8
6
At the end of the year, she went to a store and sold half of her video games.
Which numerical expression shows the amount of video games Alina has left after selling half?
Choose 1 answer:
(4+8) + (6 + 2)
2 : (4 +8+6)
© (4+8+6) : 2
The numerical expression shows the amount of video games Alina has left after selling half will be (4 + 8 + 6):2. Then the expression C is correct.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Alina has been collecting video games for a year. The table below shows how many games she has received over the year.
Amount of video games
Birthday 4
Holidays 8
School trades 6
Then the total number of the video games will be
⇒ 4 + 8 + 6
At the end of the year, she went to a store and sold half of her video games.
⇒ (4 + 8 + 6) / 2
⇒ (4 + 8 + 6) : 2
Then the expression C is correct.
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Percentages equal to 100% and how?
Answer:
2 or more percents add up to 100% or one percent is 100%
Step-by-step explanation:
find the missing angle in the triangle
Answer:
45
Step-by-step explanation:
Because this is an isosceles triangle, two of the angles must be equal. Since the third angle is 90 degrees, the other two must be 90/2=45 degrees. Hope this helps!
Is this SAS or Not SAS
Answer:
yes it is sas
Step-by-step explanation:
because one side is shared, they both have right angles and the other side is a given.
Answer:
SAS
Step-by-step explanation:
The sides are all equivalent so it is indeed a SAS triangle.
f(x) = 5x^2 - x + 8
g(x) = 9x - 1
Answer:
Step-by-step explanation:
But there is not a question?
HELP ASAP
Find the volume of the corner, R measures 10 feet, height measures 30 feet
Answer:
3141.59
Step-by-step explanation:
Answer:
[tex]3141.59 \: \: {ft}^{3} [/tex]
Step-by-step explanation:
[tex]V
=
π
{r}^{2}
\frac{h}{3}
\\
=
π
·
{10}^{2}
·
\frac{30}{3}
\\
≈
3141.59265
[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
After the dimensions of an equilateral triangle are increased by a scale factor of 2.5, the perimeter is 45 units. What were the side lengths of the original triangle?
Answer:
Original side of triangle = 6 units
Step-by-step explanation:
Given:
Perimeter = 45 units
Scale factor = 2.5 (Increase)
Find:
Original side of triangle = ?
Computation:
Original Perimeter = Perimeter / Scale factor
Original Perimeter = 45 units / 2.5
Original Perimeter = 18 units
Perimeter of an equilateral triangle = 3 (Side)
18 units = 3 (Side)
Side = 6 units
Original side of triangle = 6 units
The measure of an exterior angle of a triangle is equal to which of the following measures?
A. The measure of its complementary angle
B. The measure of its adjacent angle
C. The sum of the measures of the interior angles
D. The sum of the measures of its remote interior angles
Answer:
C. The sum of the measures of the interior angles
Step-by-step explanation:
An exterior ∠ is equal to the addition of the two Δ angles not right next to it.The 2 exterior angles at each vertex are = in measure because they are vertical angles.
• The exterior angles (taken one at a vertex) always total 360º
You have a square prism with a base side length of 8 in. and a height of 14 in. And a sphere with a diameter of 12 in.
A. Which figure has the lesser volume? SHOW ALL WORK
B. Would the same be true if the height of the prism was 14.2in? SHOW ALL WORK EXPLAIN
Look at the attached picture
Hope it will help you
Good luck on your assignment
The set of data has a median of 51. Find the value of x.
30, 35, x, 100
Answer:67
Step-by-step explanation:
Caelan has $ 7,500 in an account that earns 3.2% compounded interest annually. If she doesn't touch the money, how much will it be after 5 years?
7500(1+0.032)5=
1.032 to the power of 5= 1.171
7500x 1.171=8,782
PLS HELP ME FULL WORK SHOWN DUE
To solve this system of equations, we have to cancel out a variable:
12x-4y+28=0
16y-110=48x
Reorder:
12x-4y=-28
-48x+16y=110
Multiply first equation by 4:
4(12x-4y=-28)
-48x+16y=110
=>
48x-16y=-112
-48x+16y=110
0x+0y=-2
0=-2
This can never be true, therefore there are NO SOLUTIONS
Answer:
No Solutions
What is the area of the base of a cylinder with a volume of 174π in.3 and a height of 12 inches?
Answer:
The area of the base is 14.5π in²
Step-by-step explanation:
The volume of a cylinder is given by
Volume =base\:area \times height
Or
V=Bh
It was given that the volume of the cylinder is 174π in³.
The height was given as 12 inches.
We substitute to get,
174π=12B
Divide both sides by 12 to get:
B=14.5π in²
Hence the area of the base is 14.5π in²
Hope this helpsBrainliest plzand have a wonderful dayAnswer:
area of base = 14.5π in²
Step-by-step explanation:
the area of the base of a cylinder with a volume of 174π in^3 and a height of 12 inches is found by applying the formula for the volume of a cylinder:
V = πr²h
Here the area of the base of a cylinder with a volume of 174π in³ and a height of 12 inches, and so:
V = πr²(12 in) = 174 π in³
Dividing both sides by 12 in isolates πr², which is the area of the base:
174π in³
area of base = πr² = --------------- = 14.5π in²
12 in
What is the measure of angle x
Answer:
x =83
Step-by-step explanation:
supplementary angles add to 180 degrees
x+y = 180
We know y is 97
x+97= 180
Subtract 97 from each side
x+97-97= 180-97
x =83
Answer:
It is 83
Step-by-step explanation:
Supplementary is 180 degrees
180-97=83
In Mr.Ford’s class, 3 out of 25 students are left-handed. Whick of the following is the percent of “lefties” in Mr. Ford’s class?
Answer:
12%
Step-by-step explanation:
[tex]\frac{3}{25} = \frac{12}{100} = 12%[/tex]I need help on this question
Answer:
im sorry but google?
Step-by-step explanation:
i guess
Answer:
4.5 pi
Step-by-step explanation:
First find the area of a circle with the same radius
The diameter is 6 so the radius is 1/2 d = 1/2(6) =3
A = pi r^2
A = pi (3)^2
A = 9 pi
This is a semi circle of half a circle so the area is 1/2
A of the semicircle
9/2 pi
4.5 pi
In the diagram, the circle will be dilated by a scale factor of 3 about the origin. The points C, A and B map to C, A and B'after the dilation. What
is the length of CB? Use the distance formula to help you decide: d = (x2-x)+(y2 - y.)?
18+
164
A = (8.15)
B = (12, 13)
12
101
C = (8.10)
The length of line segment CB is 5 units.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].
Given that, A=(8, 15), B = (12, 13) and C = (8, 10)
Here, substitute (x₁, y₁)= (8, 10) and (x₂, y₂)=(12, 13) in distance formula, we get
CB = √[(12-8)²+(13-10)²]
= √(4²+3²)
= √(16+9)
= √25
CB= 5 units
Therefore, the length of CB is 5 units.
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how many solutions does : 3y = -6x + 9
y = -6x + 9
Answer:
Exactly 1 solution
Step-by-step explanation:
First we must disrupte3y+27=12y+13
Next we switch one number to the other side27=9y+13
Now we must switch the other number14=9y
Now we must solve by dividing 14 by 9y=1.555
This is one solution, so we now have our answer.
The equation has only one solution. Then the correct option is A.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equations are given below.
3y = -6x + 9
y = -2x + 3 ...1
y = -6x + 9 ...2
From equations 1 and 2, then we have
-2x + 3 = -6x + 9
4x = 6
x = 6/4
x = 1.5
Then the value of the variable 'y' is calculated as,
y = -2x + 3
y = -2(1.5) + 3
y = - 3 + 3
y = 0
The solution of the equation y = -2x + 3 and y = -6x + 9 will be (1.5, 0). Then the equation has only one solution. Then the correct option is A.
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