Answer:
[tex]\sqrt{26}[/tex] unitsStep-by-step explanation:
The median is the line segment connecting the vertex with the midpoint of the opposite side.
The midpoint has coordinates:
x = (-3 + 5)/2 = 2/2 = 1y = (3 + 1)/2 = 4/2 = 2Use the distance formula to find the distance between points (2, 7) and (1, 2):
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex]d=\sqrt{(1- 2)^2+(2-7)^2} =\sqrt{1+25} =\sqrt{26}[/tex]Step-by-step explanation:
the formula for the length of a median based on the 3 side lengths is
m = sqrt(2AB² + 2AC² - BC²)/2
where BC is the side opposite of the indicated vertex.
let's say
A = (2, 7)
B = (-3, 3)
C = (5, 1)
AB² = (2 - -3)² + (7 - 3)² = 5² + 4² = 25 + 16 = 41
AC² = (2 - 5)² + (7 - 1)² = (-3)² + 6² = 9 + 36 = 45
BC² = (-3 - 5)² + (3 - 1)² = (-8)² + 2² = 64 + 4 = 68
m = sqrt(2×41 + 2×45 - 68)/2 = sqrt(82+90-68)/2 =
= sqrt(104)/2 = sqrt(104/4) = sqrt(26) =
= 5.099019514...
how to know which way to solve a quadratic equation
Answer:
Practice -- lots of it
Step-by-step explanation:
I usually choose a solution method that I believe will find the desired answer for me in the least number of simple steps. What constitutes a "simple" step depends on a number of things:
the given information and/or the given form of the equationfamiliarity with all of the different solution processesfamiliarity with arithmetic facts (multiplication tables, squares)familiarity with quadratic forms: difference of squares, perfect square binomials, product of binomials, vertex formavailability of a graphing calculatorwhether an approximation will serve the purpose.__
I often choose a graphing calculator as my first approach to solving a quadratic. It easily shows the roots, and can show the vertex. (Sometimes, scaling the graph is required, so I actually prefer to use a touch-screen for the purpose. It is easier to "pinch" than to type in possible graph limits by trial and error.) The answer is generally provided to 3 or 4 significant figures, which is usually enough to tell if the solution is rational or irrational.
The easiest way to describe an integer (or rational) solution to someone else (on Brainly, for example) is usually to show the factoring of the quadratic. Finding the roots with a graphing calculator significantly aids the factoring process. (It is much easier to "find" the solution if you know the solution before you start looking.)
__
As we said at the beginning, the answer to your question is "practice." Many curricula try to offer opportunities to practice. I find most of these pretty annoying. What I suggest is that you find your own internal motivation to practice solving different kinds of quadratics in several different ways. That is, solve the same quadratic by ...
using the formulacompleting the squarefactoringgraphing (with a graphing calculator)scaling and/or translation and/or transformation*It might take you a couple of hours of work to learn the best way to solve an equation in under 5 minutes.
In this process, you will discover what you need to know to choose a method that works nicely for you. I believe you will find that total familiarity with arithmetic facts (sums, products, squares) and operations on all the different ways to represent numbers (integer, decimal, fraction, percent, scientific notation) will help you significantly.
_____
* Additional comment
Some "area" problems give you the difference of dimensions (length and width), and ask you to find the dimensions that give a specific area. This can be solved by (x)(x -d) = A. If you don't immediately recognize factors of A that differ by d, then you might have to resort to the quadratic formula to solve this.
Another approach is to let the variable represent the average dimension. Then the equation becomes (x -d/2)(x +d/2) = A, which is a "difference of squares" form that is much more easily solved. The solution for x is √(A +(d/2)²), and all you have to do is add and subtract d/2 from that solution to find the dimensions. This is an example of what I mean by transforming the problem.
Please show any steps you used to solve the equation!
Solve the equation [tex]sec(theta)=2 \\0\leq theta\ \textless \ 2\pi[/tex]
I'll mark brainliest if correct!
sec(θ) = 2
By definition of secant,
cos(θ) = 1/2
Solve for θ :
θ = arccos(1/2) + 2nπ or θ = -arccos(1/2) + 2nπ
(where n is any integer)
θ = π/3 + 2nπ or θ = -π/3 + 2nπ
We get two solutions in the interval 0 ≤ θ < 2π :
θ = π/3 or θ = 5π/3
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
[please put in correct order]
Answer:
it's the point T.
Hope it helps
7. What is the slope of the line that goes through (0,0) and (5, -1)7
1/2
-1/2
2
-2
Answer:
-1/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-0)/(5-0)
m=-1/5
Mila buys 11/12 pounds of almonds and 5/6 pounds of pecans.
Which answer is the most accurate estimate for how many more pounds of almonds she buys than pounds of pecans?
0 pounds
1/2 pounds
1 pound
Answer: Check explanation.
Step-by-step explanation: I think its 0. Not sure. Hope this helped!
Which equation represents the partial sum of the geometric series? mc006-1. Jpg 125 25 5 1 25 5 1 one-fifth 1 one-fifth StartFraction 1 Over 25 EndFraction StartFraction 1 Over 125 EndFraction StartFraction 1 Over 125 EndFraction one-fifth 5 125.
The equation that represents the partial sum of the geometric series is 125, 25, 5, 1
Given the partial sum of a geometric sequence expressed as:
[tex]\sum\left { n=4 \atop {n=1}} \right. 125(\frac{1}{5} )^{n-1}[/tex]
If n = 1, the
a(1) = [tex]125(\frac{1}{5} )^{1-1}\\[/tex]
a(1) = [tex]125(\frac{1}{5} )^{0}\\[/tex]
a(1) = 125
If n = 2
a(2) = [tex]125(\frac{1}{5} )^{2-1}\\[/tex]
a(2) = [tex]125(\frac{1}{5} )^{1}\\[/tex]
a(2) = 25
If n = 3
a(3)= [tex]125(\frac{1}{5} )^{3-1}\\[/tex]
a(3) = [tex]125(\frac{1}{5} )^{2}\\[/tex]
a(3) = 5
If n = 4
a(4)= [tex]125(\frac{1}{5} )^{4-1}\\[/tex]
a(4) = [tex]125(\frac{1}{5} )^{3}\\[/tex]
a(4) = 1
Hence the equation that represents the partial sum of the geometric series is 125, 25, 5, 1
Learn more on geometric sequence here: https://brainly.com/question/24643676
Answer:
a
Step-by-step explanation:
What is the y-value of the vertex of the function f(x)=â’(xâ’3)(x 11)?.
Answer:
What is the y-value of the vertex of the function f(x)=â’(xâ’3)(x 11) 1060 by cata
Gabrielle's age is three times Mikhail's age. The sum of their ages is 20 . What is Mikhail's age?
Answer:
I think Mikhail's age is 5
The question say Gabrielle's age is 3 times his
so 5 × 3 = 15
15 + 5 = 20
Given a parabola with the
vertex located at (-2,5) and there
is another point on the parabola
located at (3,7), What is the
equation of the parabola in Vertex
form?
Answer:
The equation is 2/25(x + 2)^2 + 5.
Step-by-step explanation:
WE can write the vertex form as
y = a(x - b)^2 + c where a is some constant and (b, c) are the coordinates of the vertex.
So here we have:
y = a(x + 2)^2 + 5
As (3, 7) is a point oin the curve:
7 = a(3 + 2)^2 + 5
7 = 25a + 5
a = 2/25.
28 degree + x-4 degree+2x=180 degree
Answer:
x = 52
Step-by-step explanation:
28 + x - 4 + 2x = 180
Simplify the left side
3x + 24 = 180
Subtract 24 from each side
3x = 156
Divide each side by 3
x = 52
what is the simple definition of standard form
Answer:A standard form is a form of writing a given mathematical concept like an equation, number, or an expression in a form that follows certain rules. Representing very large or very small numbers concisely, the standard form is used. For example, 4.5 billion years is written as 4,500,000,000 years.
Step-by-step explanation:
The perimeter of the figure below is 135.8 in.
Find the length of the missing side.
Answer:
12.3
Step-by-step explanation:
subtract(its me again)
ali sorced 66 and 72 marks respectively. for his two tests what is the lowest marks he must have sorced for his third test if an average score of at least 75 is required to qualify for a bonus prize
Answer:
87
Step-by-step explanation:
66 + 72 + 87 = 225
225 / 3 = 75
Francis is making fruit punch. He adds 2 cups of apples juice for every 3 cups of grape juice. What is the ratio of grape juice to apple juice?
Answer:
3:2
Step-by-step explanation:
Hope this helps and that you have a good day!
18)
Solve for x.
х
40
= 4
A)
16
B)
36
160
D)
176
A rectangular garden has a length of 3x + 13 feet and a width of 3x feet. Which expression represents the
area of the garden in square feet?
Answer:
40
Step-by-step explanation:
so it is 3X3 +13 =40
In four games the basketball team scored 47, 52, 63, and 66 points. What is the mean of these scores? What is the range of these scores?
Answer:
mean=57
range=19
Step-by-step explanation: there you go
7. A cargo train covers 375 km in 15 hours. Find: b) time taken to travel 770 km.
Answer:
30 hours 48 minutes
Step-by-step explanation:
Using the relationship
average speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{375}{15}[/tex] = 25 Km / hour
Then
time = [tex]\frac{distance}{speed}[/tex] = [tex]\frac{770}{25}[/tex] = 30.8 hours = 30 hours 48 minutes
Answer:
30.8 or 30 hours and 48 mins
Step-by-step explanation:
375 km > 15 Hours
Divide 375 and 15, equals to 25.
So, to proof that 375 is equals to 15 hours, divide 375 and 25 then you will get the answer 15. :)
Now, divide 770 and 25 to get the time taken to travel 770km.
And the answer is 30.8 hrs or... 30hrs and 48mins
Welcome ;)
Determine the intercepts of the line.
Answer:
x = 5/3 or 1.67 and y= 2.5 or 5/2
Step-by-step explanation:
Firstly to find the x intercept make y= 0 meaning put zero at where ever you find y to help eliminate the y
so
3x + 2y =5
3× + 2 (0)=5
3×=5
×=5/3 or 1.67
Secondly for the y intercept make x = 0 meaning put zero at where ever you find x to help eliminate the x leaving you with y
3x + 2y =5
3 (0) + 2y = 5
2y=5
y= 5/2 or 2.5
60% of the 7th grade students take the bus. If there were 120 students on the busses, how many 7th grade students are there?
Answer: 200 Students
Step-by-step explanation:
Is the slope of AC the same as the slope of DF? Explain
Answer:
yes
Step-by-step explanation:
because df is -2/3 and ac is -6/9 which is the same as -2/3
ABCD is a square. DEF is an equilateral triangle. Work out the size of the angle labelled d°.
Answer:
95
Step-by-step explanation:
Hope this helps :)
Merry Christmas. Have fun.
The size of ∠CDE labelled d° = 95° Given,
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Given,
In triangle DAF
∠DAF = 25°
∠DFA = 40°
Sum of all interior angles is 180°
∠DAF + ∠DFA + ∠ADF = 180°
25° + 40° + ∠ADF = 180°
65° + ∠ADF = 180°
∠ADF = 180° - 65°
∠ADF = 115°
Triangle DFE is equilateral
∠FDE = 60°
ABCD is an square
∠CDA = 90°
Now,
∠CDA + ∠ADF + ∠FDE + ∠CDE = 360°
90° + 115° + 60° + d° = 360°
d° = 360° - 265°
d° = 95°
Hence, 95° is the size of ∠CDE labelled d°.
Learn more about angle here:
https://brainly.com/question/28451077
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CD is a line parallel to AB and passes through the point (3, 5).
c. Find the equation of the line CD
Answer:
y=5/3x+b
Step-by-step explanation:
Supposing CD uses the equation y=mb (meaning CD passes through the origin) and passes through (3,5), we then know the slope if 5/3 and the y intercept is 0. We can then write CD's equation as y=5/3x+0, or just y=5/3x.
So if AB is parallel to CB, then their equation is y=5/3x+b, as we don't the y-intercept yet.
Thank you!
The ratio between an exterior angle and the interior angle of a regular polygon is 1: 3. Find the number of sides of that polygon. Please help D:
Answer:
8 sides.
Step-by-step explanation:
The sum of each of the interior and exterior angles = 180 degrees.
Therefore as the ratio is 1:3 the exterior angles are all = 1/4 * 180
= 45 degrees.
So the number of sides = 360/45 = 8. ( As the sum of the exterior angles in all polygons = 360 degrees).
Find the equation of a line parallel to y = x + 8 that passes through the point
(-3,3).
Answer:
y=x + 6
Step-by-step explanation:
G1=G2
so G2 =1
y-3 /x+3 =1/1
y-3 = x +3
y=x + 6
Two numbers are such that if 11 is added to the first number, a number twice
the second number is obtained. If 20 is added to the second number, the number
obtained is twice the first number. Find the two numbers.
Please do full working and explain if possible (if you explain it would help me understand more but if you don’t it’s alright)
Answer:
The 2 numbers are 14 and 17.
Step-by-step explanation:
Let the 2 numbers be x and y.
x + 11 = 2y
x - 2y = -11...............A
y +20 = 2x
2x - y = 20 ...............B
Multiply equation A by -2:
-2x + 4y = 22............C
Adding B and C :-
3y = 42
y = 14.
Substitute y = 14 in equation A:
x - 2(14) = -11
x = -11 + 28
x = 17.
a wedding reception seats 8 people at each table The relationship is represented by the equation p=8t where p is the number of people at t is the number of tables 
Answer:
that means its 8 * 8 = 64
There are 64 ppl
What is the length of side AB of the triangle? (1 point)
a 3
b 5
c Square root of 6
d Square root of 13
Two plans for reaching a goal are given below. Plan A: Save $450 over the next 8 weeks by working 9 hours per week at $7. 20 per hour. Plan B: Save $450 over the next 6 weeks by working 15 hours per week at $6. 50 per hour. Which of the following is a true statement? a. Only plan A will work for achieving the goal. B. Only plan B will work for achieving the goal. C. Both plans will work for achieving the goal. D. Neither plan will work for achieving the goal.
Answer:
C, both plans will work for achieving the goal.
Step-by-step explanation:
For plan A, you must multiply 7.20 by 9, then multiply the product by 8. The answer is 526.4 This means that plan A will work, and more than the original goal will be saved up.
For plan B, you must multiply 6.50 by 15, then multiply the product by 6. The answer is 585. This is more than the original goal, so plan B would work as well.
This means that C is correct, because both plans will work for achieving the goal.
Answer:
C
Step-by-step explanation:
Edged 2022
Change one digit from the number 238882 so that it is divisible by 3 not not divisible by 2
Answer:
238882 -> 238881
Step-by-step explanation:
To make it not divisable by 2, you have to change the rightmost digit.
Simply divide the number by 3, round it, then multiply it by 3 again.