The graph (A) in the picture represents the solution to the inequality, option (A) is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The options are missing.
The graph is in the picture, please refer to the picture.
We have an inequality:
y − 2x ≤ 1
The above inequality represents a straight line with a positive slope.
The right side region of the line is representing the solution to the inequality.
Graph (A) represents the inequality.
Thus, the graph (A) in the picture represents the solution to the inequality, option (A) is correct.
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Satoranaing
19100
Points C, D, and G lie on plane X. Points E and F lie on
plane Y.
X
B
A
Y
Intro
E
D
G
F
Which statements are true? Select three options.
There are exactly two planes that contain points A,
B, and F.
There is exactly one plane that contains points E, F,
and B.
The line that can be drawn through points C and G
would lie in plane X.
The line that can be drawn through points E and F
would lie in plane Y.
The only points that can lie on plane Y are points E
and F.
Done
The statements that are true about the given points on the line are; Options B, C and D
How to identify points on a Plane?
A plane is defined by a line and a point outside of it. Meanwhile, a line is defined by two points. Thus, whenever we have 3 non-collinear points, we can define a plane.
Let us check each of the given options;
A) There are exactly two planes that contain points A, B, and F;
If these points are collinear, they can't make a plane and If they are not collinear, they define a plane.
Since we can't make two planes with them, then the statement is false.
B) There is exactly one plane that contains points E, F, and B;
Due to the same reasoning in part A, the statement is true assuming the points are not collinear.
C) The line that can be drawn through points C and G would lie in plane X;
The statement is true because both points C and G lie on plane X, and as such the line that connects them also should lie on the same plane.
D) The line that can be drawn through points E and F would lie in plane Y; Similar to above, this statement is true.
E) The only points that can lie on plane Y are points E and F.
This statement is false because infinite points can lie on a plane.
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My age this year is a multiple of 7. Next year it will be a multiple of 5. I am more than 20 years of age but less than 80. How old will I be 6 years from now?
Answer:
You will be 55
Step-by-step explanation:
P and q are two arithmetic sequences. The first four terms of sequence P are 2,6,10,14. The nth term of sequence Q is 145-3n. The rth term of sequence P has the same values as the rth term of sequence Q. Work out the value of r.
Answer:
r = 21
Step-by-step explanation:
nth of sequence P :
[tex]T_{n} = 4n -2[/tex]
[tex]r^{th} term[/tex] : [tex]4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21[/tex]
The equation of a circle is given below:
x squared minus 4 x plus y squared minus 6 y minus 7 equals 0
Identify the center and radius of the circle.
Group of answer choices
Center: left parenthesis 2 comma 3 right parenthesis
Radius: 20
Center: left parenthesis 4 comma minus 6 right parenthesis
Radius: 2 square root of 5
Center: left parenthesis negative 4 comma 6 right parenthesis
Radius: 20
Center: left parenthesis 2 comma 3 right parenthesis
Radius: 2 square root of 5
Given:
The equation of the circle is
We need to determine the center and radius of the circle.
Center:
The general form of the equation of the circle is
where (h,k) is the center of the circle and r is the radius.
Let us compare the general form of the equation of the circle with the given equation to determine the center.
The given equation can be written as,
Comparing the two equations, we get;
(h,k) = (0,-4)
Therefore, the center of the circle is (0,-4)
Radius:
Let us compare the general form of the equation of the circle with the given equation to determine the radius.
Hence, the given equation can be written as,
Comparing the two equation, we get;
Thus, the radius of the circle is 8
Evaluate -6y - 5 for y = 1/2
Answer:
15
Step-by-step explanation:
-6y-5
Substitute 1/2 for y.
-6y-5
-6(1/2)-5
-3(-5)
15
Twice a number x increased by 32 is translated to 2x+32
Answer:
If you are asking if that's correct then yes it is
Step-by-step explanation:
A nuclear power plant has two independent safety systems. The probability the first will not operate properly in an emergency P (A) is 0.01, and the probability the second will not operate P (B) in an emergency is 0.03. What is the probability that in an emergency both of the safety systems will not operate?
Step-by-step explanation:
they are independent systems, so in case of an emergency both systems will activate.
this is like rolling 2 dice and asking for the probability that both will show 1.
the probability that both will fail is the product of the individual probabilities for failure :
0.01 × 0.03 = 0.0003
so, the third answer option is correct.
FYI - the probability for 2 dice to both roll 1 is
1/6 × 1/6 = 1/36
Seleccione el número que se puede
describir mejor como enteros.
the second one
Step-by-step explanation:
Which expression is equivalent to -6(-2+2x)?
O −4-12%
O −4+2%
O 4-12%
O 4+12%
Use distributive law
a(b+c)=ab+ac
-6(-2)-6(2x)12-12x12(1-x)if the point D (8, -5) is reflected over the x-axis, the coordinates of D’ would be
The image of the point after the reflection across the x-axis is (8,5)
How to determine the image of the point?The point is given as:
D = (8,-5)
The rule of reflection across the x-axis is:
(x,y) -> (x,-y)
So, we have:
D' = (8,5)
Hence, the image of the point after the reflection across the x-axis is (8,5)
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please help i’ll give brainliest
The missing length in triangle A given the similarity between the two triangles is 18.67
Solving triangles using ratioTriangle A is similar to triangle B
Triangle A:
Side 1 = (x + 2)Side 2 = 14Triangle B:
Side 1 = 8Side 2 = 6Ratio of side 1 to side 2 of the triangles respectively
(x + 2) : 8 = 14 : 6
(x + 2) / 8 = 14/6
cross product(x + 2) × 6 = 8 × 14
6x + 12 = 112
6x = 112 - 12
6x = 100
x = 100/6
x = 16.67
Therefore, Triangle A:
Side 1 = (x + 2)
= 16.67 + 2
= 18.67
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Solve the following absolute value equation. |2+1 = 3 3 2 = -[ ]
Answer:
Sorry
Step-by-step explanation:
I not know this one
DILATE TRIANGLES URGENTTTTTT
photo is inserted so work from that, the original triangle is the one in blue.
The Dilation is 0.76
What is dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.
Dilation or scale factor= Dimension of new shape/ dimension of old shape
= Perimeter of new triangle(green)/ Perimeter of old Triangle (blue)
= 8.3/10.9
= 0.76
Hence, the scale factor is 0.76.
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An angle turns through 2/8 of the circle.what is the measure of this angle
Answer:
90°
Step-by-step explanation:
note that [tex]\frac{2}{8}[/tex] simplifies to [tex]\frac{1}{4}[/tex]
There are 360° in one turn of the circle , then
[tex]\frac{1}{4}[/tex] × 360° = 360° ÷ 4 = 90°
In circle B below, diameter RT, radius BE, and chord RE are drawn.
If m2TRE = 15° and BE = 9, then the area of sector EBR is
The area of sector EBR in the given diagram attached below is: 33.75π units².
What is the Area of a Sector?Area = θ/360º × πr²
Given the following:
m∠TRE = 15° BE = 9Measure of arc TE = 2(m∠TRE) = 2(15) [inscribed angle theorem]
Measure of arc TE = 30°
Arc RE = 180 - arc TE = 180 - 30 [semicircle]
Arc RE = 150°
m∠EBR = Arc RE = 150°
Area of sector EBR = m∠EBR/360 × π(BE²)
Area of sector EBR = 150/360 × π(9²)
Area of sector EBR = 33.75π units²
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Use the function to predict the minimum target heart rate for a person 20 years old. beats per minute
The minimum target heart rate for a person 20 years old is 120 beats per minute
How to predict the minimum target heart rate?The equation of the function is given as:
y = -0.6x + 132
Where x represents the age, and y represents the minimum target heart rate
From the question, we have:
x = 20
Substitute x = 20 in y = -0.6x + 132
This gives
y = -0.6 *20 + 132
Evaluate
y = 120
Hence, the minimum target heart rate for a person 20 years old is 120 beats per minute
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Answer:
Answer is 120 !!
Step-by-step explanation:
~Hope this helps! :)
4. The function A(r) = πr² gives the area of a circle with radius r. What is the context domain?
I only need help with #4 pls
Answer:
Domain = [0 , +∞)
Step-by-step explanation:
since r is the radius of a circle
Then
r must be a positive number.
Then
r ≥ 0
NOTE : if r = 0 ,then the circle reduces to a point .
If f(x)=3x+5/x, what is f(a + 2)?
a. 3a + 5/a + 2
b. 3(f(a)) + 5/f(a)+2
c. 3(a+2) + 5/a+2
Answer:
Answer C is correct
Step-by-step explanation:
1. We replace x as (a + 2)
2. Then we just rewrite this function with the new value
3. Result: 3(a+2) + 5/(a+2)
complete the proof and tell me how to come up with the answer please ASAP
Step 4 is the reason SSS
11. 6.2 m B 1.8m Calculate the value of x. NOT TO SCALE
Answer:
24.19
Step-by-step explanation:
[tex] \tan(x) = \frac{6.2}{13.8} \\ x = { \tan}^{1} \frac{6.2}{13.8} \\ x = 24.19320899[/tex]
or the value of x can be 24.20
Graph the inequality.
2x+5y> -15
Answer: See attached
Step-by-step explanation:
[] Since the inequality uses greater than (>) and not greater than or equal to (≥), the line will be dashed.
[] The inequality is greater than (>) so we will shade above the line as values "above" are greater.
Answer:
here is what i got
Step-by-step explanation:
Which of the following best describes AD?
OA. Angle bisector
OB. Perpendicular bisector
OC. Median
OD. Altitude
B
17
D
17
C
Answer:
see the attachment photo!
just comment here if you need help
The best description about the line AD is,
⇒ Perpendicular bisector
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle ABC is shown in figure.
Now, We have by figure;
BD = 17
DC = 17
Hence, We can say that;
Line AD is Perpendicular bisector of line BC.
Thus, The best description about the line AD is,
⇒ Perpendicular bisector
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11/12 - 7/9
5/36
5/72
25/36
25/72
c
Step-by-step explanation:
What is the solution to the system of equations graphed below?
(0, 4)
(3, 1)
(1, 3)
(4, 0)
Answer:
(c) (1, 3)
Step-by-step explanation:
The solution to the system of equations shown on the graph is the point where the lines intersect.
__
The coordinates of the point of where the lines cross are (1, 3).
The solution to the system of equations is (x, y) = (1, 3).
Which pairs of events describe independent events? Select all that apply.
O Rolling a six-sided die and having it land on a 4, and then choosing a blue marble from a jar of marbles.
O Rolling a six-sided die and having it land on a 3,
and then rolling a six-sided die and having it land on a 2.
O Choosing a blue marble from a jar of marbles, not replacing it, and then drawing a red marble.
O Entering a raffle 3 times and winning one prize, and then winning another prize in the same raffle.
O Drawing a 3 from a deck of cards, not replacing it, and then drawing a 4 from the same deck of cards.
When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. The correct options are A and B.
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent iff we have:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Comparing it with chain rule will give
[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]
Thus, showing that whether one occurred or not, the other one doesn't care about it (independence).
Two events are known to be independent even if the result of one event does not affect the result of the second event.
Rolling a dice in an independent event and choosing a blue marble is another independent event. The two events are independent and the result of one does not affect the other.
Thus, A is correct.
Rolling a dice in an independent event, and rolling it again won't affect the result of the second roll. Therefore, rolling a dice twice or for n number of times is an independent event.
Thus, B is correct.
Hence, the correct options are A and B.
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7/12 - 1/6 in simplest form
Answer:
5/12
Step-by-step explanation:
1/6 can be turned into 2/12
7/12-2/12=5/12
please answer thank you!
Answer:
1. Median:70, Range:12, IQR: 8
2. Median: 59, Range: 48, IQR: 31
Step-by-step explanation:
Hello, the answers I have are just approximations because I can not tell the specific number in between each mark.
The median is the middle vertical line of the box. The range is you maximum subtracted from your minimum. You can find these at the lines that extend out of the box. The interquartile range is the ends of the box subtracted from each other, meaning quartile 3 subtracted from quartile 1.
Hope this helps.
Find Median of 10,12,14 and 16
Step-by-step explanation:
the median is the value, where half of the other values is smaller (or equal), and the other half bigger (or equal).
with an even number of data points that is not directly possible to find.
in this case the 2 middle values are taken and their mean value is the median.
in our case, the 2 middle values are 12 and 14.
their mean value is
(12+14)/2 = 26/2 = 13
so,
13 is the median (even though if is not a data point itself).
Anyone know the answer
Step-by-step explanation:
-2g(1+g)
-2g - 2g²
(-2)g - (2)g²
After arguing for two weeks, melissa convinced her parents to have her birthday party at flyzone trampoline park. as soon as she gets there, melissa spends time practicing flips on the trampolines. then, she spends 1/2 of an hour eating birthday cake with her friends. in all, melissa spends 1/4 hours at flyzone.
The amount of time that Nora practices flips is; t = 1 ¹/₄
How to Solve Algebra problems?We are told that;
Nora spends time practicing flips on the trampolines. Let this be t.
Then, she spends 1/2 of an hour eating birthday cake with her friends.
Thus, total amount of time spent on flips and eating with her friends is;
t + ¹/₂ = 1 ³/₄
t = 1 ³/₄ - ¹/₂
t = 1 ¹/₄
Complete Question is;
After arguing for two weeks, Nora convinced her parents to have her birthday party at FlyZone trampoline park. As soon as she gets there, Nora spends time practicing flips on the trampolines. Then, she spends 1/2 of an hour eating birthday cake with her friends. In all, Nora spends 1 3/4 hours at FlyZone. Which equation can you use to find the amount of time Nora practices flips?
Solve this equation for (t) to find the amount of time Nora practices flips
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