Answer:
The coordinates of B is (5,-2)
Step-by-step explanation:
In order to find the coordinates of B, you have to use midpoint formula. Then substitute the following values into the formula :
[tex]m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Let (x1,y1) be A (-3,-6),
Let (x2,y2) be B,
Let midpoint be M (1,-4),
[tex](1, - 4) = (\frac{ - 3 + x2}{2} , \frac{ - 6 + y2}{2} )[/tex]
[tex]by \: comparison, \: [/tex]
[tex] \frac{ - 3 + x2}{2} = 1[/tex]
[tex] - 3 + x2 = 2[/tex]
[tex]x2 = 5[/tex]
[tex] \frac{ - 6 + y2}{2} = - 4[/tex]
[tex] - 6 + y2 = - 8[/tex]
[tex]y2 = - 2[/tex]
The sum of 6 consecutive integers is 597
What is the 3rd number in this sequence?
First represent your 6 consecutive integers as follows.
X ⇒ first integer
X + 1 ⇒ second integer
X + 2 ⇒ third integer
X + 3 ⇒ fourth integer
X + 4 ⇒ fifth integer
X + 5 ⇒ sixth integer
Since their sum is 597, our equation reads
x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) = 597.
Simplifying on the left we get 6x + 15 = 597.
Now subtract 15 from both sides to get 6x = 582.
Now dividing both sides by 6, we find that x = 97.
So our first integer, x, is 97.
Our third integer would be x + 2 or 97 + 2 which is 99.
Need help ASAP. WILL MARK BRAINLIEST.
Answer:
5pi
Step-by-step explanation:
Simplify:
2(xy - 7) = [?]
x = -1 and y = 3
Answer:2(xy-7)= -20
Step-by-step explanation:
Plug in -1 for x and 3 for 3, as the question says that x and y represent those values.
2(xy-7) = ?
2((-1)(3) - 7) = ?
2(-3-7)=?
2(-10)
-20
2(xy - 7) = -20
The expresssion 2(xy - 7) = -20 , when x = -1 & y = 3
What is expression ?
In mathematics, if two or more numbers or variables present with one or more mathematical operations, then the statement is called expression.
Example : 4x-3y+4, where x,y are variables, 3 & 4 are numbers and they are operated with addition and subtraction, so this is an expression.
What is the value of given expression ?Here, in the problem, x = -1 & y = 3
The given expression is 2(xy - 7) .....(1)
Now, we have to put the values of x & y in (1),
So, 2(xy - 7)
= 2{(-1)(3)-7}
= 2{-3-7}
= 2×(-10)
= -20
So, the value of the expression is -20
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One leg of a right triangle is 10 units, and its hypotenuse is 12 units. What is the length of the other leg?
A.
about 7 units
B.
about 15 units
C. about 25 units
D. about 122 units
E
about 224 units
Answer:
about 7 units
Step-by-step explanation:
10[tex]10^{2} + b^{2} = 12^{2} \\100+b^{2} = 144 \\144- 100= 44\\=\sqrt{44} \\= 6.6\\round \\=7[/tex]
Answer:
7 UNITS mwah <3<3<3<3<3<3<3
Which of the following are geometric series? 2 + 5 + 8 + 11 + 14 + 17 1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 –256 + 64 – 16 + 4 – 1
Answer:
-102
Step-by-step explanation:
Answer:
1 and 4
Step-by-step explanation:
How many solutions does this equation have?
8n = 10 + 10n
Answer:
1
Step-by-step explanation:
-10n+8n=10
-2n=10
n=-5
So, one solution
Which function has the same range as f(x)=-2√x-3+8?
Answer:
[tex]g(x)=-\sqrt{x+3}+8[/tex]
Step-by-step explanation:
got it right
g(x) = - √x + 3 +8 has the same range.
What is the range of a function simple?The variety of a feature is described as a set of solutions to the equation for a given input. In different words, the range is the output or y fee of a characteristic. There is the most effective range for a given function.
What is range in a relation?The set which contains all the first elements of all the ordered pairs of relation R is known as the domain of the relation.
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Find the smallest number to be Find the smallest number to be added to 2345 to get the nearest perfect square.
Answer:
48^2 =2304 < 2345 < 2401 = 49^2
=> Smallest number should be: 2401 - 2345 = 56
Hope this helps!
:)
Answer:
56
Step-by-step explanation:
sqrt(2345) = 48.425...
Nearest integer is 49
So, the nearest perfect is 49²
49² = 2401
To be added:
2401 - 2345
56
Determine the nth term formula for each of the following sequences and find the limit if it exists.
3, 3,-3, 3,
Answer:
aₙ = (-3) (-1)ⁿ⁻¹
limit does not exist
Step-by-step explanation:
-3, 3, -3, 3, ...
This is an alternating geometric series where the first term is -3 and the common ratio is -1. The nth term is therefore:
aₙ = (-3) (-1)ⁿ⁻¹
Since the sequence alternates between -3 and 3, the limit as n approaches infinity of aₙ does not exist.
Please answer this question
2x^2 = 3x
Answer:
x = 1.5
Step-by-step explanation:
2x^2 = 3x
divide whole eqn by x
2x = 3
x= 3/2 =1.5
Answer:
x=2/3 or x=0
Step-by-step explanation:
1) Let's solve by factoring
since "x" is common in both 2x^2 and 3x let's take that out
first we have to bring "3x" to the left
so
2x^2-3x
next, factor of "x"
x(2x-3)=0
to solve, divide by x on both sides:
(2x-3)=0
add 3
2x=3
divide by 2
x=3/2
or x=0(since x(2x-3)=0, logically if x=0 then this equation would make sense)
Liz flips a coin 40 times. The coin lands heads up 28 times and tails up 12 times. Complete each
statement
Complete Question
Liz flips a coin 40 times. The coin lands heads up 28 times and tails up 12 times. Complete each statement
(a)The theoretical probability of the coin landing heads up is___
(b)The experimental probability of the coin landing heads up is___
(c)The theoretical probability of the coin landing tails up is___
(b)The experimental probability of the coin landing tails up is___
(Type an integer or decimal)
Answer:
(a)0.5
(b)0.7
(c)0.5
(d)0.3
Step-by-step explanation:
When a coin is tossed, there are two outcomes: Heads or Tails
(a)Theoretical Probability of the Coin landing Heads up =1/2=0.5
(b)In the experiment, out of a total of 40 trials, the coin lands heads up 28 times.
Experimental Probability of the Coin landing Heads up =28/40=0.7
(c)Theoretical Probability of the Coin landing Tails up =1/2=0.5
(d)In the experiment, out of a total of 40 trials, the coin lands tails up 12 times.
Experimental Probability of the Coin landing Tails up =12/40=0.3
The function f(x) and g(x) are graphed below. If g(x)=f(x+k) what is the value of k?
Answer:
The value of k = -6
Step-by-step explanation:
First lets concentrate at the most obvious point, the top. Top(f) = ( 4, 1) and Top(g) = ( -2, 1).
The translation factor k ( which is called a vector ), which accounts for the trandlation of any point of f(x) --> g(x).
To translate the x coordinate of the top from 4 to -2, you have to subtract 6 of it.
Because 4 -6 = -2
Hence the factor k must be -6.
The value of k = -6
OVER HERE WALKER.
What is the perimeter of a rectangle measuring 10cm by 5cm ?
Answer:
30 cm.
Step-by-step explanation:
Answer:
30 cm
Step-by-step explanation:
Perimeter is the outside measurement/ outline, add 10+10+5+5 which is all the sides together and you get your answer for perimeter
what is the area of the circle when the radius is 5
Answer:
78.5
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
Where r is 5
A = pi 5^2
A = 25 pi
We can approximate pi by 3.14
A = 25*3.14
A =78.5
Answer:
78.5398163397
Step-by-step explanation:
pi times r squared
x-1/2*1/8=1/8 Find the value of x.
Answer:
x = 3 / 16
Step-by-step explanation:
Simplify first:
x - 1 / 16 = 1 / 8
x = 3 / 16
find the discriminant and the number of real roots for this equation.
x^2+2x+8=0
A. 32; two real roots
B. -28; one real root
C. 32; one real root
D. -28; no real roots
Answer:
D
Step-by-step explanation:
To find the discriminant you do b^2-4(a)(c), which in this case gives you -28. If your discriminant is less than zero, you will have no real roots.
Help it’s urgent because it’s due tonight
Answer:
<16 and <15 are supplementary
Step-by-step explanation:
Supplementary angles add to 180 degrees, which is a straight line
15 and 16 make a straight line
Please help me now plz I will mark you brainliest
Answer: C. Outside the circle.
Step-by-step explanation:
To find whether point M lies on the circle, first derive the equation of the circle from the radius and center given.
Equation of a circle:
[tex](x-h)^2 + (y-k)^2=r^2[/tex]
Substitute the coordinates (0, 0) for h and k, and 2 times the square root of 3 for r:
[tex]x^2 + y^2 = 12[/tex]
Now, substitute the points (-3, 2) for x and y:
[tex]9 + 4 = 12[/tex]
This equation is incorrect, as the (x, y) coordinates produce a greater value than the radius of the circle squared. When this occurs, the point given is outside of the circle.
(A point like (1, 1), when substituted into the equation and solved to get 1 + 1 = 12, would be inside the circle, as its (x, y) coordinates produce a smaller value than the radius of the circle squared.)
As such, the correct answer is C.
Find the standard form of the equation of the parabola with a focus at (0, 6) and a directrix at y = -6.
A) y equals 1 divided by 24 x squared
B) y2 = 6x
C) y2 = 24x
D) y equals 1 divided by 6 x squared
Answer:
None of the options represent the right answer. (Real answer: [tex]y = 24\cdot x^{2}[/tex])
Step-by-step explanation:
The parabola shown above is vertical and least distance between focus and directrix is equal to [tex]2\cdot p[/tex]. Then, the value of p is determined with the help of the Pythagorean Theorem:
[tex]2\cdot p = \sqrt{(0-0)^{2}+[6-(-6)]^{2}}[/tex]
[tex]2\cdot p = 12[/tex]
[tex]p = 6[/tex]
The general equation of a parabola centered at (h,k) is:
[tex]y-k = 4\cdot p \cdot (x-h)^{2}[/tex]
It is evident that parabola is centered at origin. Hence, the equation of the parabola in standard form is:
[tex]y = 24\cdot x^{2}[/tex]
None of the options represent the right answer.
Answer:
y equals 1 divided by 24 x squared
Step-by-step explanation:
Just took the test
Polygon LMNO is similar to polygon QRST and LM and QR are corresponding sides. You know the perimeter of each polygon, and you know the measure of MN. What can you find
Answer:
I can find that the measure of RS
Step-by-step explanation:
The measure of RS can be discovered as both have corresponding sides. Therefore, both are the same
Anwar selects a playing card at random from the following 666 cards:
\{{left brace 999 of hearts, 555 of spades, 666 of hearts, 222 of spades, 444 of hearts, 777 of hearts\}}right brace
Let AAA be the event that Anwar selects an even-numbered card and BBB be the event that she chooses a heart.
Which of the following statements are true?
Answer:
We have 6 cards.
9 of hearts
5 of spades
6 of hearts
2 of spades
4 of hearts
7 of hearts.
A is the event where Anwar selects an even numbered card.
B is the event where she choses a heart.
we have 3 even cards (and two of them are hearts)
we have 4 hearts (2 of them are even)
The probability of event A is Pa = 3/6 = 1/2
the probability of event B is = Pb = 4/6 = 2/3
The probability of event A and Event B is the number of heart cards with even numbers, that are 2 divided the total number of cards:
Paandb = 2/6 = 1/3
the probabilty of A if we know that B is true:
P(AIB) = 2/4 = 1/2 (this is because we have 4 hearts, and we know that 2 of those 4 cards are even)
the probability of B if we know that A is true:
P(BIA) = 2/3 (this is because we have 3 even cards, and 2 of them are hearts)
Answer:
A,B,C,E
Step-by-step explanation:
Khan.
TRUST ME!!!!!!!!!!!! THIS IS RIGHT!!!!!!!
Qasim and Alejandra both earn $15 an hour at their job. This week Alejandra worked three hours more than Qasim. If h represents the number of hours Qasim worked, and in total they earned $195, how many hours did each person work?
Answer:
Alejandra worked 8 hours and Qasim worked 5
Step-by-step explanation:
195/15 is 13. They worked 13 hours in total. 8 is 3 more than 5 and together they equal 13.
Solve x2 - 8x + 15 <0.
Recall that the quadratic factors as:
(x - 3)(x - 5) <0
Therefore, the intervals that must be tested are
x<3,3 5.
The solution set for the quadratic inequality is:
Answer:
x<3 and x<5Step-by-step explanation:
Given the quadratic inequality x² - 8x + 15 <0, to get the solution set for the inequality, the following steps must be followed;
Step 1: Factorize the quadratic expression
x² - 8x + 15 <0
x² - 3x - 5x + 15 <0
x(x - 3) - 5(x - 3) <0
(x -3)(x -5)< 0
x -3<0 and x -5<0
x< 3 and x< 5
Therefore, the solution set for the quadratic inequality are x<3 and x<5
Answer:
(3, 5)
Step-by-step explanation:
Correct on e2020
what is k if k-9/4 = 11
Bobby is making a cake. The recipe calls for 1( 3)/(4) cups of flour for every( 1)/(8) cups of sugar. How many cups of flour is needed for 1 cup of sugar?
If you want I will give BRAINLIEST >_
Answer:
5 cups
Step-by-step explanation:
To get 1 cup of sugar, u must add 1/8 by 8. now you have one cup of sugar. But to find out how much flour u need, u also need to multiply 1 3/4 by 8, which gives u 5 cups
Answer:
14 cups of flour are needed for 1 cup of sugar.
Step-by-step explanation:
Use a ratio.
cups of flour : cups of sugar
1 3/4 : 1/8
? : 1
We know that you must multiply by 8 to get from 1/8 to 1. Now we have to do the same to the other side. So, multiply 1 3/4 by 8.
1 3/4 * 8 = 14
Therefore, 14 cups of flour are needed for 1 cup of sugar.
Tell me if this was helpful:)
I have provided 2 pictures. Please help.
Answer:
Feature 1- Statement A, Feature 2-Statement 2, Feature 3- Statement 1
3. If the legs of an isosceles right triangle are 10 inches long, approximate the length of
the hypotenuse to the nearest whole number
Answer:
Using the Pythagorean theorem for isosceles right triangle, the length of the hypotenuse is sqrt( 2 x 10^2) = ~14.1 in
Hope this helps!
:)
8. A teacher is cutting along the diagonal of a rectangular piece of construction
paper for a bulletin board which is 11 inches long and 8.5 inches wide. What
will be the length of the cut?
Answer:
The length of the diagonal is 13.90 inches
Step-by-step explanation:
This question can be remolded as calculating the length of the diagonal of a rectangle with dimensions 11 inches by 8.5 inches.
The diagonal refers to that length that runs from one inner edge of the rectangle to the other inner edge of the rectangle.
To calculate this length, we shall be making use of the Pythagoras’ theorem
Please check attachment for the kind of figure i’m trying to paint.
Let’s call the diagonal D
Using the Pythagoras’ theorem,
D^2 = 11^2 + 8.5^2
D^2 = 121 + 72.25
D^2 = 193.25
D = √193.25
D = 13.90 inches
True or False: "What is the height of the tallest person in my class" is a statistical question
Answer:
it is true
Step-by-step explanation:
because a statistical question is a question that has more than one possible answer so it can have a variety of answers. in other words more than 1 answer.
hope this help :-)
Jacob took a total of 12 quizzes over the course of 3 weeks.
How many weeks of school will Jacob have to attend this quarter before he will have taken a total of 16 quizzes?
Answer:
4 weeks
Step-by-step explanation:
The number of weeks for a total of 16 quizzes will be 4 weeks.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that Jacob took a total of 12 quizzes over the course of 3 weeks. The number of weeks for 16 quizzes will be calculated as below:-
12 quizzes = 3 weeks.
1 quizzes = 3 / 12 weeks
16 quizzes = ( 3 / 12 ) x 16 = 4 weeks
Therefore, the number of weeks for a total of 16 quizzes will be 4 weeks.
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