The midpoint of a line segment means a point that lies in the mid of the given line segment. The coordinates of point B are (7, -4).
What are the coordinates of the midpoint of the line segment AB?Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment. Suppose we've two endpoints of a line segment:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}[/tex]
and
[tex]y = \dfrac{q+n}{2}[/tex]
Given that the midpoint of AB is M whose coordinates can be written as,
The x-coordinate of point B,
[tex]x_m = \dfrac{(x_A + x_B)}{2}[/tex]
[tex]5 = \dfrac{(3 + x_B)}{2}[/tex]
10 = 3 + x
x = 10 - 3
x = 7
The y-coordinate of point B,
[tex]y_m = \dfrac{(y_A + y_B)}{2}[/tex]
[tex]1 = \dfrac{(6 + y_B)}{2}[/tex]
2 = 6 + y
y = 2 - 6
y = -4
Hence, the coordinates of point B are (7, -4).
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WILL GIVE BRAINLIEST! Find k so that (5, k) is equidistant from (–1, 2) and (3, 0).
Answer:
9
Step-by-step explanation:
So first I created 2 distance forumlas and set them equal to each other
[tex]\sqrt{(5+1)^2+(k-2)^2} =\sqrt{(5-3)^2+(k)^2}[/tex]
then I simplified them
[tex](5+1)^2+(k-2)^2 =(5-3)^2+(k)^2\\[/tex]
[tex]36 + k^2 - 4k +4 = k^2 + 4[/tex]
[tex]-4k + 36 = 0\\[/tex]
[tex]4k = 36[/tex]
[tex]k = 9[/tex]
when k = 9, the two distances are equal
What is the factored form of x6 - 9?
Mary Robertson sells tires at large car service. she earn 10% commesstion
Which decimal is equivalent to 56?
Answer:
0.56
Step-by-step explanation:
In February 2009, the Harris Poll asked a sample of Americans whether they thought churches and religious groups have too much or too little power and influence on Washington†. The opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure.
Complete question is;
In February 2009, the Harris Poll asked a sample of Americans whether they thought churches and religious groups have too much or too little power and influence on Washington†. The opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure. (a) What type of distribution is this? cumulative frequency distribution simple frequency distribution cumulative percent distribution relative percent distribution (b) Knowing that 1,010 adults were polled nationwide, how many Americans polled felt that churches and religious groups have too little power and influence on Washington? (Round your answer to the nearest whole number.) Americans
Answer:
A) Relative percent distribution
B) 576 Americans
Step-by-step explanation:
A) We are given that the opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure.
This means that number of people in each of this category was divided by total number of people in the poll and multiplied by 100%.
Thus,it is relative percent distribution.
B) Since 1,010 adults were polled nationwide, therefore the number of Americans polled felt that churches and religious groups have too little power and influence on Washington = 57/100 × 1010 ≈ 576 people
Evaluate the expression when x=-3.
x^2+5x=-4
[tex](-3)^{2} + 5(-3) = - 4\\9 - 15 = - 4\\-6 \neq -4[/tex]
This is not possible, as -6 is not equal to -4.
X-27=-(27-x) It’s for math 9th grade
Answer:
x - 27 = -(27 - x)
x - 27 = -27 + x
x = x
-27 is moved to the right side making it +27 and cancelling out with the -27.
Which expression represents the prime factorization of 450? A. 2 x 3 x 5 x 5 B. 2 x 2 x 5 x 5 C. 2 x 3 x 3 x 5 x 5 D. 2 x 2 x 3 x 5 x 5
Answer:
c
Step-by-step explanation:
The prime factorization of 450 is 2 × 3 × 3 × 5 × 5. Written with exponents, the answer is 2 × 32 × 52.
It expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5. The correct answer is option C.
What is Prime Factorization?Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.
The given number is as follows:
450
We need to write 450 as the product of its prime factors, which is 450.
⇒ 450 = 2 x 3 x 3 x 5 x 5
Hence, it expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5.
Therefore, the correct answer is option C.
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Given the three points (0,3), (4,15), (5,33), determine the equation of the parabola they represent. State the direction the parabola opens. A) The equation is f(x)=3x^2−33/4x+3, and the parabola opens upward B)The equation is f(x)=−3x^2+9x+3, and the parabola opens downward C)The equation is f(x)=−4x^2−13x+3, and the parabola opens downward. D)The equation is f(x)=3x^2−9x+3, and the parabola opens upward.
Answer:
D)The equation is f(x)=3x^2−9x+3, and the parabola opens upward.
-5/7 (50/5 - 1/5) explanation too please
© Kin travels 600 miles by train at an average speed of 120 mph.
Ayaan flies the same distance at an average speed of 160 mph.
Find the difference between their travel times.
Give your answer in hours.
Please answer asap!!
Answer: 1.25 hours
Step-by-step explanation: 600/120=5. Kin‘s travel time is 5 hours. 600/160=3.75. 5-3.75=1.25.
simplify 3/2√3 a. √2/3 b. 2√3/3 c. 3√3/3 d. √3/2 -everything is in fraction form-
Answer:
Before A:[tex]\frac{3\sqrt{3}}{6}[/tex]
A:Already Simplified!
B:Also, Already Simplified! Can be changed to [tex]\frac{\sqrt{12}}{3}[/tex]
C:Already Simplified, yet again. Can be changed to[tex]\frac{\sqrt{27}}{3}[/tex]
D:Already Simplified.
Step-by-step explanation:
For Before A, I multiplied both denominator and numerator by square root of 3. The multiplication moved the square root to the numerator, simplifying the fraction.
The different forms of B and C are just that I multiplied the square of the first number into the square roots. This is OK because the square root of a number's square is the number itself. Therefore, you can multiply a square root by the square of the number from outside the root.
Which equation has the solution x =
3?
8x – 1= 23
Submit Answer
O 82 +1= 21
6x + 3= 81
6x + 7 = -25
Let's solve each equation for x
8x - 1 = 23
Add 1 to each side.
8x = 24
Divide both sides by 8
x = 3
Luckily, we already found the equation which has the solution of x = 3
The answer is: 8x - 1 = 23
Who ever answers this first gets brainlist
What is 6^8
Answer:
1679616
Step-by-step explanation:
Answer:
1679616
Step-by-step explanation:
what is 7 divided by -14
What is the measure of AC? A. 5 units B. 13 units C. 26 units D. 39 units
Answer:
is 26 bc i had misclicked it on edge and got it right
The measure of AC is 26 units.
Hence, option (C) is correct.
What is quadrilateral?A closed quadrilateral is a form of polygon with four sides, four vertices, and four angles. Four non-collinear points are joined to create it. Quadrilaterals' internal angles add up to a constant 360 degrees.
In the given quadrilateral,
Side AD = 8X - 1, CD = 6X + 9
And AB = 3x - 2
According to given diagram,
AD = CD
8x -1 = 6x + 9
2x = 9 + 1
2x = 10
x = 5
The length of side AB = 3x - 2 = 3 (5) - 2 = 15 - 2 = 13
The figure ABCD is a symmetrical figure,
Therefore,
AB = BC
AB = BC = 13
The required side AC = AB + BC
= 13 + 13
= 26
The length of the side AC is 26 units.
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How are functions used to describe patterns?
Answer: Functions show real world pattern problems in algebraic form.
Jesse is purchasing some new school supplies. He brought seven notebooks (1 for each class), a new backpack for $15, and a pack of pens for $3.50. He spent a total of $27.25 (before taxes). What is the cost of each notebook (in dollars and cents)?
Answer:
1.25
Step-by-step explanation:
I did the math
each notebook is 1.25
if u multiply by 7 it makes 8.75
Answer:
each note bok cost 1.25
Step-by-step explanation:
27.25-15=12.25
12.25-3.50=8.75
8.75/7=1.25
Please please help its urgent and i dont understand!!
Answer:
m<STW
Step-by-step explanation:
The m<4 is the vertex which is also T.
You can answer it with m<T but since there is lots of there, just to be more specific m<STW would be the answer.
The vertex's letter (the dot that is always in the middle of the angle where the ends of line connects) is always in the middle. You can switch the S or W if you like. it doesnt matter.
Which division problems below have the same quotient as –27 ÷ 9? Check all that apply.
Answer:
The quotient of -27/9 is -3 hope this helps <3
Step-by-step explanation:
9 goes into 27, 3 times, since 27 is negative, it would be -3
(sec(x) sin^2(x)) / (1 + sec(x)) simplifyy pls
Answer:
[tex]1-\cos \left(x\right)[/tex]
Step-by-step explanation:
[tex]\frac{\sec \left(x\right)\sin ^2\left(x\right)}{1+\sec \left(x\right)}[/tex]
Use the identity: [tex]\sec \left(x\right)=\frac{1}{\cos \left(x\right)}[/tex]
[tex]\frac{\frac{1}{\cos \left(x\right)}\sin ^2\left(x\right)}{1+\frac{1}{\cos \left(x\right)}}[/tex]
[tex]\frac{\frac{1}{\cos \left(x\right)}\sin ^2\left(x\right)}{\frac{\cos \left(x\right)+1}{\cos \left(x\right)}}[/tex]
[tex]\frac{\frac{\sin ^2\left(x\right)}{\cos \left(x\right)}}{\frac{\cos \left(x\right)+1}{\cos \left(x\right)}}[/tex]
Divide them using [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\times d}{b\times c}[/tex]
[tex]\frac{\sin ^2\left(x\right)\cos \left(x\right)}{\cos \left(x\right)\left(\cos \left(x\right)+1\right)}[/tex]
Cancel cos(x):
[tex]\frac{\sin ^2\left(x\right)}{\cos \left(x\right)+1}[/tex]
Use the identity: [tex]\sin ^2\left(x\right)=1-\cos ^2\left(x\right)[/tex]
[tex]\frac{1-\cos ^2\left(x\right)}{1+\cos \left(x\right)}[/tex]
[tex]\frac{-\left(\cos ^2\left(x\right)-1\right)}{1+cos(x)}[/tex]
Use the difference of squares formula:
[tex]-\frac{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}{1+\cos \left(x\right)}[/tex]
Cancel out 1+cos(x):
[tex]-\left(\cos \left(x\right)-1\right)[/tex]
Remove outer bracket:
[tex]-\cos \left(x\right)+1[/tex]
[tex]1-cos(x)[/tex]
Una avenida está siendo asfaltada por etapas. En la primera etapa se asfaltó la mitad; en la segunda, la quinta parte, y en la tercera, la cuarta parte del total. ¿Cuál es la longitud de la avenida si aún faltan 200 m por asfaltar?
Answer:
Sabemos que:
L es el largo de la avenida.
En la primer etapa se asfalto la mitad, L/2, entonces lo que queda por asfaltar es:
L - L/2 = L/2.
En la segunda etapa se asfalto la quinta parte, L/5, entonces lo que queda por asfaltar es:
L/2 - L/5 = 5*L/10 - 2*L/10 = (3/10)*L
En la tercer etapa se asfalto la cuarta parte del total, L/4, entonces lo que queda por asfaltar es:
(3/10)*L - L/4 = 12*L/40 - 10L/40 = (2/40)*L
Y sabemos que este ultimo pedazo que queda por asfaltar es de 200m:
(2/40)*L = 200m
L = 200m*(40/2) = 4,000m
G is between E and H, and F is the midpoint of EG. If FG=2 and FH=8, find EH.
Answer:
EH = 10
Step-by-step explanation:
Because F is a midpoint, that means that FG and EF are congruent to each other. So, since FG = 2, that means that EF also equals 2. Because FH also includes FG, you can take the 2 from the FG, and then take that 2 away from 8. Now you know that GH = 6. All that is left is to add all 3 of the units together (2+2+6=10).
5 ( y - 4)=7 (2y +1) Can someone help me out by solving for Y Thanks
5 ( y - 4 ) = 7 ( 2y + 1 )
To Find:The value of y.
Solution:5 ( y - 4 ) = 7 ( 2y + 1 )
or, 5y - 20 = 14y + 7
or, 5y - 14y = 7 + 20
or, -9y = 27
or, y = 27/-9 = -3
Answer:The value of y is -3.
Find the real roots of
[tex] \frac{18}{ {x}^{4} } + \frac{1}{ {x}^{2} } = 4[/tex]
see the photos above given
Answer:
[tex]$x^2=\frac{9}{4} \implies x=\pm \frac{3}{2} $[/tex]
[tex]$x^2=-2 \implies x=\pm\sqrt{-2} \implies x=\pm\sqrt{2i} $[/tex]
The solutions are
[tex]$\{-\frac{3}{2},\frac{3}{2}, -\sqrt{2i}, \sqrt{2i} \}$[/tex]
The Real roots are
[tex]$\{-\frac{3}{2},\frac{3}{2}\}$[/tex]
Step-by-step explanation:
[tex]$\frac{18}{x^4} +\frac{1}{x^2}=4$[/tex]
Multiply both sides by [tex]x^4[/tex]
[tex]$x^4\frac{18}{x^4} +x^4\frac{1}{x^2}=4\cdot x^4$[/tex]
[tex]$18+x^2=4x^4$[/tex]
[tex]4x^4-x^2-18=0[/tex]
Substitute [tex]x^2=t[/tex]
[tex]4t^2-t-18=0[/tex]
Solving the quadratic equation using the quadratic formula:
[tex]$t=\frac{-(-1)\pm \sqrt{(-1)^2-4\cdot 4(-18)}}{2\cdot 4}$[/tex]
[tex]$t=\frac{1\pm \sqrt{289}}{8}$[/tex]
[tex]$t=\frac{1\pm 17}{8}$[/tex]
[tex]$t_1=\frac{9}{4}$[/tex]
[tex]t_2=-2[/tex]
Now we have to solve for [tex]x^2=t[/tex]
[tex]$x^2=\frac{9}{4} \implies x=\pm \frac{3}{2} $[/tex]
[tex]$x^2=-2 \implies x=\pm\sqrt{-2} \implies x=\pm\sqrt{2i} $[/tex]
can someone please help me:/!!! i’m a sophomore in hs, this is integrated math 2 chapter 2 test!
Answer:
130°
Step-by-step explanation:
Angle 5 and Angle 8 are vertical angles, which therefore means the angles are congruent, or have the same measure. Since it tells us that Angle 8 measures 130°, we know Angle 5 will be 130° as well. I hope this helps :)
Charlotte is making pies for her whole family. So far, she has made 5.04 pounds worth of pie, and has 7 people to feed, including herself. How much does each person get if Charlotte is done making pies?
Answer:
0.72 pounds
Step-by-step explanation:
Each of the 7 people gets 1/7 of the pounds of pie, so ...
(5.04 pounds)/7 = 0.72 pounds
Each person gets 0.72 pounds of pie.
Name the x-intercept
Answer:
There are no x-intercepts
Step-by-step explanation: This is because the parabola does not pass through the x-axis at all.
Answer:
no x intercept
Step-by-step explanation:
The x intercept is the value where it crosses the x axis.
This functions does not cross the x axis
There is no x intercept
HELP ASAP my answer is c
your answer is correct.
Are these expressions equivalent?
Answer:
Yes
Step-by-step explanation:
If you subtract the p4 and p2 you get p2. q5-q2 is q3. 39/3 is 13. Therefore those expressions are equivalent.