Answer:
Hello! The answer to your question is (-7, -4).
Step-by-step explanation:
To solve this problem, you have to use the midpoint formula:
[tex](\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Now, we can substitute our values in:
[tex](\frac{-9 + -5}{2}, \frac{1 - 9}{2} )\\= (\frac{-14}{2} , \frac{-8}{2}) \\= (-7, -4)[/tex]
y + 3x ≤7
solve it…… …
Answer:
[tex]x \leq \frac{7 - x}{3}[/tex]
Step-by-step explanation:
This expression is an inequality which is a relation that makes a non-equal comparison between two numbers/expressions
we want x to be alone in one side, y + 3x ≤ 7
Subtract y from both sides,
y + - y + 3x ≤ 7 - y
3x ≤ 7 - y
divided both sides by 3 to get x alone
3x / 3 ≤ 7 - y / 3
x ≤ 7 - y / 3
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What is the slope of the line shown below??
Answer:
1
Step-by-step explanation:
We can find the slope using the slope formula, which is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
The order of the points doesn't matter, but the points that are farthest right (8, 8) can be our y2 and x2 and the points that are farthest left (5, 5) can be our y1 and x1.
Thus, we have [tex]\frac{8-5}{8-5}=\frac{3}{3}=1[/tex]
Solve for this trig identity step by step.
Using trigonometric identities, and equality is reached, hence the equality is proved.
Which trigonometric identity are used to solve this question?These three identities are used:
[tex]\sin^2{x} + \cos^2{x} = 1 \rightarrow \cos^2{x} = 1 - \sin^2{x}[/tex].[tex]\sec^2{x} = 1 + \tan^2{x}[/tex].[tex]\sec^2{x} = \frac{1}{\cos^2{x}}[/tex]Hence:
[tex]\sec^4{x} = \frac{1 + \tan^2{x}}{1 - \sin^2{x}}[/tex]
[tex]\sec^4{x} = \frac{\sec^2{x}}{\cos^2{x}}[/tex]
[tex]\sec^4{x} = \sec^2{x} \times \sec^2{x}[/tex]
[tex]\sec^4{x} = \sec^4{x}[/tex]
Equality is reached, hence the equality is proved.
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can you help me i give you brainly
Answer:
Step-by-step explanation:
it should be sth like green graph
Select the value that completes the perfect square trinomial: x^ 2 +22x+_____
Answer:
121 i.e. 11²
Step-by-step explanation:
(a+b)² = a² + 2ab + b²
x² + 2 × x × 11 + 11² = (x + 11)²
PLEASE HELPP I NEED ASAP
Answer:
[-6, -2](-2, 1](1, 5]Step-by-step explanation:
The question is asking you to identify the domain for each of the parts of the piecewise-defined function. This means you need to identify the corresponding part on the graph, and determine its horizontal extent.
ObservationThe first step in solving a problem is to look at the given information. The graph is shown as three (3) non-overlapping horizontal line segments. The open- or filled-circle end points tell you whether that x-value is part of the line segment.
The blanks in the function definition are where the domain descriptions go for the piecewise-defined function. This means you have to match the function description to the left of "if x ∈" with the set of x-values it corresponds to. The "x ∈" notation suggests you want to specify the domain in "interval notation," rather than as an inequality.
Bottom pieceThe first part of the function definition is ...
f(x) = -4
This matches the horizontal line segment at the bottom of the graph. The closed dots at its ends mean it is defined for ...
-6 ≤ x ≤ -2
In interval notation, a square bracket is used when the end point is included in the interval.
f(x) = -4 if x ∈ [-6, -2]
Middle pieceThe second part of the function definition is ...
f(x) = -3
This matches the horizontal line segment in the middle of the graph. The open dot at the left end, and the closed dot at the right end mean it is defined for ...
-2 < x ≤ 1
We use a round bracket (parenthesis) when an end point is not included in the interval.
f(x) = -3 if x ∈ (-2, 1]
Top pieceThe third part of the function definition is ...
f(x) = 4
This matches the horizontal line segment at the top of the graph. The open dot at the left end, and the closed dot at the right end mean it is defined for ...
1 < x ≤ 5
In interval notation, this is ...
f(x) = 4 if x ∈ (1, 5]
What is the constant rate of change of the table below? Please help
Answer:
4 m/s
Step-by-step explanation:
Well the constant rate of change can be defined as the slope or rise/run. This can be calculated using any two points. So I'll use (10, 40) and (20, 80). the seconds increased by 10 (run) and the meters increased by 40 (rise) This gives you the equation 40/10 which simplifies to 4. That is the constant rate of change
Graph the image of this figure after a dilation with a scale factor of 12centered at the point (−3, 0)
Answer:
bro tbh just use like or
Step-by-step explanation:
its not that deep
Select the correct answer from each drop-down menu.
Consider the function f(x) = 2x + 6 and the graph of the function g shown below.
у
The graph of g is the graph of f translated
units
Answer: The graph of g is the graph of f translated 10 units down, and [tex]g(x)=2x-10[/tex]
Step-by-step explanation:
The y-intercept of f(x) is 6, and the y-intercept of g(x) is -4, so the graph of g is the graph of f translated 10 units down.
So, the equation of g(x) is [tex]g(x)=2x-10[/tex]
Answer:
5 units right and g(x)= f(x - 5).
Air America has a policy of booking as many as 15 persons on an airplane that can seat only 14. (Past studies have revealed that only 85% of the booked passengers actually arrive for the flight.) Find the probability that if Air America books 15 persons, there will be enough seats will be available.
The probability that if Air America books 15 persons, there will be enough seats available is 0.913.
How to determine the probability?First of all, we would determine the probability that if Air America books 15 persons, there won't be enough seats available by using binomial distribution:
P(x = 15) = 0.85¹⁵
P(x = 15) = 0.087.
Based on logic, the probability that if Air America books 15 persons, there will be enough seats available is given by:
P = 1 - 0.087
P = 0.913.
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Which of the following is the graph of the inequality y < 2x + 3?
Answer: A
Step-by-step explanation:
The line has a positive slope.
Eliminate B and D.Also, the line should be shaded below.
Eliminate C.This leaves us with D.
can someone pls help me
Answer:
C
Step-by-step explanation:
9x² - 4[tex]y^{6}[/tex]
can be factored as a difference of squares , that is
(U + V)(U - V)
9x² - 4[tex]y^{6}[/tex] = (3x)² - (2y³)²
with U = 2x and V = 2y³
Answer:
U= 3x and V=2y^3
Step-by-step explanation:
9x^2= (3x)^2
4y^6 = (2y^3)^2
=(3x)^2 - (2y^3)^2
Apply this rule below
x^2 - y^2 = (x + 7) - (x - y)
(3x)^2 - (2y^3)^2 = (3x + 2y^3) + (3x - 2y^3)
= (3x + 2y^3) (3x - 2y^3)
there are three consecutive odd integers. Three times the largest is 7 times the smallest. WHat are the integers
Answer:
3, 5, 7
Step-by-step explanation:
We can assign the first number as x. Since all the numbers are odd the next number will be x+2, and the last will be x+4.
3*(x+4) = 7(x)
3x+12 = 7x
12 = 4x
x = 3
x+2 = 5
x+4 = 7
(x + 1 < 4) ∩ (x - 8 > -7).
The correct answer is x = 2
Inequality(x + 1 < 4) ∩ (x-8>-7)
Make x the subject in each case:
(x<4-1)(x>-7+8)
(x<3)∩(x>1)
If x<3, then x could be 2, 1, -1, etc.
If x>1, then x could be 2, 3, 4, etc.
Thus (x<3)∩(x>1) = 2
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Answer:
x = 2
Step-by-step explanation:
Hello!
We are looking at the intersection of two sets, or common values found between two sets of data.
We can solve for x on each side and find any common values between.
Find the Intersection[tex](x + 1 < 4) \cap(x - 8 > -7)[/tex][tex](x < 3)\cap(x > 1)[/tex][tex](x = 2, 1, 0, -1, -2...)\cap(x = 2, 3, 4, 5, 6...)[/tex][tex]x = 2[/tex]As you can see, the intersection occurs at the common values. The only value that is common between the two sets is 2.
Therefore, the intersection of these sets is 2.
what does 4r-8=6r+14 equal to?
Answer:
r is -11
Step-by-step explanation:
Move the like terms to the same side. 4r-6r is -2r
14 + 8 is 22
22/-2 is -11
Which angle is an exterior angle?
i°
k°
g°
a°
Among angles i , k , g , a ,i and k are the exterior angles.
Given i°, k° ,g° ,a° are some angles and we have to find which angle is exterior angle.
The angle between a side of a polygon and an extended side is known as exterior angle of polygon. The sum of exterior angles of a polygon is equal to 180 degrees. We have to identify exterior angles among i° ,k° ,g° ,a°.
The angle i is an exterior angle because it is formed on a line opposite to angle d.
Angle k is also an exterior angle because it is also formed on opposite side of an angle.
Angle g is not an exterior angle.
Angle a is not an exterior angle.
Hence i and k are exterior angles among i, g, k, a.
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Given:
\overleftrightarrow{BD}
BD
B, D, with, \overleftrightarrow, on top is the perpendicular bisector of segment \overline{AC}
AC
start overline, A, C, end overline.
\overline{BD}
BD
start overline, B, D, end overline is 333 units long.
\overline{AC}
AC
start overline, A, C, end overline is 888 units long.
Naomi was asked to show that point DDD is equidistant from points AAA and CCC.
A line bisector is a straight line that divides a given line into two equal parts. Thus the following steps are required by Naomi to show that point D is equidistant from points A and C.
BD ⊥ AC (given)
BD = 3 units, and AC = 8 units.
BD is the perpendicular bisector of segment AC (given)
Thus,
<BDA ≅ <BDC (right angles formed by a perpendicular bisector)
AD ≅ DC (equal parts of a bisected line)
AD ≅ DC = 4 units
Thus joining points B to A, and B to C,
BA ≅ BC.
So that applying Pythagoras theorem to ΔABD, we have:
[tex]/hyp/^{2}[/tex] = [tex]Adj 1^{2}[/tex] + [tex]Adj 2^{2}[/tex]
[tex]AB^{2}[/tex] = [tex]3^{2}[/tex] + [tex]4^{2}[/tex]
= [tex]\sqrt{25}[/tex]
AB = 5 units
So that,
BA ≅ BC = 5 units
Therefore, it can be concluded that point D is equidistant from points A and C.
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. 40% of students passed 90% students attended class 30% both passed and attended class martin was selected at random he attend class daily determine the probability that he passed the exam
Probability that Martin passed the exam when he attend the class daily is given by 1/3.
Probability is the possibility to occurrence of an event.
In other words, Probability is the ratio of number of favorable cases under an event to total number of cases under that event.
Let P be the event that Martin passed the exam and A be the event that he attend the class daily.
Given that,
40% of students passed tbe exam.
The probability to pass the exam is given by,
[tex]P(P)=40%=\frac{40}{100}=\frac{4}{10}[/tex]
90% students attend the class daily
probability to attend the class daily is given by,
[tex]P(A)=90%=\frac{90}{100}=\frac{9}{10}[/tex]
30% student both passed the exam and attended class
So probability to both passed the exam and attend the class is given by,
[tex]P(P\cap A)=30%=\frac{30}{100}=\frac{3}{10}[/tex]
Now conditional probability that Martin will passed the exam if he attend class daily is given by,
[tex]P(P|A)=\frac{P(P\cap A)}{P(A)}=\frac{\frac{3}{10}}{\frac{9}{10}}=\frac{3}{9}=\frac{1}{3}[/tex]
Hence the required pobability that Martin passed the exam when he attend the class daily is given by 1/3.
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Pls helppppppppppppppp
Answer:
y = 4/5x + 2
Step-by-step explanation:
Standard equation given slope and y-intercept -> y = mx + b
After substituting variables m and b, you get y = 4/5x + 2.
Insurance protects you from liability and allows you to provide for your own and others' long-term needs. But what if you never need the insurance? You wind up putting out a lot of money and you get nothing out of it. Which kinds of insurance do you think are worth the cost? Which are not?
Life , Health , Car are considered to be very important insurance , Rental Car Damage , Travel Insurance has no usage.
What is Insurance ?Insurance is safe guarding any thing which has some monetary or emotional value to it , It can be life , health , car , house , your gold etc.
Insurance protects you against something you can never predict .The life is unpredictable and Insurance is a cover to that .
As given in the question , a person can be lucky enough that he never gets to use the money that he invested in the Insurance , but not investing due to this is wrong.
This is not difference of opinion but lack of prediction of future and lack of understanding the needs of life.
Life , Health , Car , Home , Fire etc . insurance that protects the basic amenities of life are considered to be very important ,
while nowadays insurance of Rental Car Damage , Travel Insurance , these are some which has no usage beyond the fact that they cover nothing.
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Triangle ABC is isosceles.
Triangle A B C. Angle A is x degrees, angle B is 118 degrees, angle C is x degrees. Sides A B and B C are equal.
Which equation can be used to find the degree measure of Angle A?
118 = x + x
x + x + 118 = 180
118 + 180 = x + x
(x + x) minus 118 = 180
Step-by-step explanation:
118+2×=180
180-118=62
62÷2(×)=31
×=31
Answer:
x + x + 118 = 180
Step-by-step explanation:
...........
Y<2/3x+2
A. (0,3)
B. (-3,1)
C. (3,5)
D. (1,2)
The ordered pair on the inequality y < 2/3x + 2 is D. (1,2)
How to determine the ordered pair?The inequality is given as:
y < 2/3x + 2
Next, we test the options:
A. (0,3)
3 < 2/3 * 0 + 2
3 < 2 --- false
B. (-3,1)
1 < 2/3 * -3 + 2
1 < 0 --- false
C. (3,5)
5 < 2/3 * 3 + 2
5 < 4 --- false
D. (1,2)
2 < 2/3 * 1 + 2
2 < 2.67 --- true
Hence, the ordered pair on the inequality y < 2/3x + 2 is D. (1,2)
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Which of the following statements must be true about the diagram? Check all that apply.
Answer:
x + y = w
w > x
w > y
Step-by-step explanation:
x and y are interior angles of a triangle.
w is the exterior angle ( opposite to angles x and y ) of a triangle.
There is a formula that exterior angle of a triangle is equal to sum of two interior angles of a triangle.
So,
x + y = w
If x + y = w,
Then,
w > x
w > y
Which explicit formula is equivalent to a1 = 1, an = -6an-1
The explicit formula that is equivalent to aₙ = -6aₙ₋₁ is; aₙ = 1(-6)ⁿ⁻¹
What is the explicit formula?We are given;
a₁ = 1
aₙ = -6aₙ₋₁
Thus, for second term;
a₂ = -6a₁
a₂ = -6
For the third term;
a₃ = -6a₂
a₃ = 36
The resulting sequence is 1, -6, 36,......
The sequence is a geometric sequence with;
a = 1
r = -6
The explicit rule will be aₙ = 1(-6)ⁿ⁻¹
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help me please i need help asap
Answer:
Step-by-step explanation:
What is the value of x?
Answer: 5
Step-by-step explanation:
By the inscribed angle theorem.
[tex]\frac{9}{15}=\frac{2x-1}{3x}\\\\27x=30x-15\\\\-3x=-15\\\\x=5[/tex]
A rectangular quilt is to be made so that the length is 1.2 times the width. The quilt must be between 72ft^2 and 96ft^2 to cover
the bed. Determine the restrictions on the width so that the dimensions of the quilt will meet the required area.
W is the width of the quilt, the restrictions are given by the inequality:
7.7ft ≤ W ≤ 8.9 ft
How to determine the restrictions on the width?
Remember that for a rectangle of length L and width W, the area is:
A = L*W
In this case, we know that:
L = 1.2*W
Replacing that we get:
A = 1.2*W²
And we know that the area must be between 72 square feet and 96 square feet, then:
72ft² ≤ 1.2W² ≤ 96ft²
Now we can divide all by 1.2:
(72ft²)/1.2 ≤ W² ≤ (96ft²)/1.2
60ft² ≤ W² ≤ 80ft²
If we apply the square root in the 3 sides of the inequality, we get:
√60ft² ≤ √W² ≤ √80ft²
7.7ft ≤ W ≤ 8.9 ft
These are the restrictions on the width such that the quilt will meet the required area.
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Suppose $n$ is a positive integer such that $6n$ has exactly 9 positive divisors. How many prime numbers are divisors of $6n$
The number of prime divisors of "6n" is 2 numbers 2 and 3
Given
"n" = 6
thus 6n = 6(6) = 36
The positive divisors are 1, 2, 3, 4, 6, 9, 12, 18 and 36
So, the number of prime divisors of "6n" is 2 numbers 2 and 3.
The prime factors of a positive integer are the top numbers that divide that integer exactly. The technique of finding those numbers is known as integer factorization or prime factorization.
The fundamental theorem of mathematics says that every positive integer has a completely unique prime factorization.
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If a coin is tossed, a die is rolled, and a candy is taken from a dish of 20 candies, 7 of which are red, what is the probability of getting a red candy, a heads, and a 2 on a 6-sided die?
ANSWER OPTIONS:
0.0167
0.29167
1.0167
0.029167
Answer:
B
Step-by-step explanation:
7/20 x 1/2 x 1/6
Jorge wants to determine the enlarged dimensions of a digital photo was 800 pixels high. The new photo will be 1,260 pixels wide .what will the new height be
The height of the new photo must be 945 pixels (option B).
How to calculate the width of the new photograph?To calculate the height of the photograph, we must first know what proportion the sides of the previous photo have, for this we do the following operation:
600 × 100 = 60,00060,000 ÷ 800 = 75According to the above, the height of the photo is equal to 75% of the width. So to find the height of the new photograph we must do the following operation:
1.260 ÷ 100 = 12.612.6 × 75 = 945So the height of the new photo should be 945 pixels.
Note: This question is incomplete. Here is the missing part:
Question
Jorge wants to determine the enlarged dimensions of a digital photo to be used as wallpaper on his computer screen. The original photo was 800 pixels wide by 600 pixels high. The new photo will be 1,260 pixels wide. What will the new height be?
Options
460 pixels
945 pixels
1,680 pixels
1,860 pixels
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