Answer:
yes
Step-by-step explanation:
An arbitrary right triangle can be partitioned into isosceles triangle by drawing a median from the right angle to the hypotenuse.
What is Right Angled Triangle?Right angled triangle are those triangle for which one of the angle is 90 degrees.
Let's take a right angled triangle ΔABC.
Let C be the right angle in this triangle.
Then AB will be the longest side of the triangle, which is the hypotenuse.
Median of a triangle is the line segment joining the vertex to the midpoint of the opposite side of the triangle.
Suppose we draw a median from C to the midpoint of AB intersecting AB at a point P.
Then there are two triangles formed ΔAPC and ΔBPC.
AP = BP since P is the midpoint of AB.
PC = PC is the common side for both triangles.
So ΔAPC and ΔBPC are isosceles triangles, because two sides are equal.
Hence any right triangle can be partitioned into two isosceles triangles this way.
Learn more about Right Angled Triangles here :
https://brainly.com/question/3772264
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PLEASE ANSWER I HAVE 10 MINUTES!!!
Answer:
1,3,4
Step-by-step explanation: hope this helps you
Find the general solution of y''' + 9y'' + y' − 111y = 0 if it is known that y1 = e−6x cos(x) is one solution.
Answer:
[tex]\mathbf{y(x) = \dfrac{(c_1 + c_2) \ cos (x)}{e^{6x} }+ \dfrac{i(c_1 -c_2) \ sin (x)}{e^{6x}}+ c_3e^{3\ x}}[/tex]
Step-by-step explanation:
The objective of this question is to solve:
[tex]\dfrac{dy(x)}{dx}+ 9\dfrac{d^2y(dx)}{dx^2}+\dfrac{d^3y(x)}{dx^3}-111y(x) = 0 :[/tex]
Suppose the general solution is proportional to [tex]e^{\lambda x}[/tex] for [tex]\lambda[/tex] is constant; Then:
Let's replace [tex]y(x) = e^{\lambda\ x}[/tex] into the above equation:
i.e.
[tex]\dfrac{d^3}{dx^3}(e ^{\lambda x} )+ 9 \dfrac{d^2}{dx^2}(e ^{\lambda x} ) + \dfrac{d}{dx}(e ^{\lambda x} )- 111 \ e ^{\lambda x} = 0[/tex]
To Replace:
[tex]\dfrac{d^3}{dx^3}(e ^{\lambda x} )[/tex] with [tex]\lambda^3 e ^{\lambda x }[/tex]
[tex]\dfrac{d^2}{dx^2}(e ^{\lambda x} ) \ with \ \lambda^2 e^{\lambda\ x}[/tex]
[tex]\dfrac{d}{dx}(e ^{\lambda x} ) \ with \ \lambda e ^{\lambda \ x}[/tex]
Thus;
[tex]\lambda^3 e ^{\lambda x }[/tex] + [tex]9 \lambda^2 e^{\lambda\ x}[/tex] + [tex]\lambda e ^{\lambda \ x}[/tex] - 111 [tex]e ^{\lambda \ x}[/tex] = 0
[tex]e ^{\lambda \ x} (\lambda ^3 + 9 \lambda ^2 + \lambda - 111 )= 0[/tex]
∴
In as much as [tex]e^{ \lambda x}\neq 0[/tex] for any finite [tex]\lambda[/tex]; Then:
[tex]\lambda ^3 + 9 \lambda ^2 + 111 = 0[/tex]
By Factorization:
[tex](\lambda - 3) ( \lambda ^2 + 12 \lambda + 37) = 0[/tex]
[tex]\lambda = -6 + i \ or\ \lambda = -6 - i \ or \ \lambda = 3[/tex]
However;
The root [tex]\lambda = -6 \pm i[/tex] yield;
[tex]y_1 = (x) = c_1 e ^ {(-6+i)x}[/tex]
[tex]y_2 (x) = c_2e^{(-6-i)x}[/tex]
The root [tex]\lambda = 3[/tex] yield;
[tex]y_3(x) = c_3 e^{3x}[/tex]
∴
The general solution is:
[tex]y(x) = y_1(x) + y_2(x) + y_3(x) = \dfrac{c_1}{c^{(6-i)}x}+\dfrac{c_2}{c^{(6+i)}x}+ c_3e^{3x}[/tex]
Using Euler's Identity ;
[tex]e^{\alpha+i \beta} = e^\alpha \ cos (\beta ) + i \ e^\alpha \ sin ( \beta)[/tex]
[tex]y(x) = c_1 ( \dfrac{cos (x) }{e^{6x}}+ \dfrac{i \ sin x }{e^{6x} }) + c_2 ( \dfrac{cos (x)}{e^{6x}}- \dfrac{-i \ sin (x)}{e^{6x}})+c_3 e^{3x}[/tex]
[tex]\mathbf{y(x) = \dfrac{(c_1 + c_2) \ cos (x)}{e^{6x} }+ \dfrac{i(c_1 -c_2) \ sin (x)}{e^{6x}}+ c_3e^{3\ x}}[/tex]
simplify 12x⁵y² ÷ 3x²y
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step explanation:
How many students like both Tennis and Soccer but not Surfing
Answer:
None.
Step-by-step explanation:
Answer: where’s the picture?
Step-by-step explanation:
324 soldiers queued up such that the number of queues is equal to the number of soldiers in each queue. find the number of queues
Factorise fully
-12a - 16
please do quick, first to answer marked brainiest!!
Answer:
-4( 3a+4)
Step-by-step explanation:
-12a - 16
-4*3a -4*4
Factor out a -4
-4( 3a+4)
Find the set of solutions for the linear system Use s1, s2, etc. for the free variables if necessary. ,
Answer and explanation:
Please find attached
Find an equation of the line that satisfies the given conditions.
Through (2, 9); parallel to the line passing through (3, 7) and (−1, 3)
9514 1404 393
Answer:
y = x +7
Step-by-step explanation:
The slope of the given line can be found as ...
m = (y2 -y1)/(x2 -x1)
m = (3 -7)/(-1 -3) = -4/-4 = 1
Then the point-slope form of the equation for the desired line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y - 9 = 1(x -2)
y = x -2 +9
y = x + 7 . . . . slope-intercept form
__
The attachment shows a graphing application that will write the equation of the line. Here, it shows the desired line has the equation ...
x -y = -7 . . . . desired line equation in standard form
Write the equation of a line in point Slope form that passes through the points (-8,-3) and (2,2)
Answer:
The midpoint of the points (2,8) and (0,4) is given by:
(
2
x
1
+x
2
,
2
y
1
+y
2
)=(
2
2+0
,
2
8+4
)=(
2
2
,
2
12
)=(1,6)
We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.
−3x+6y=5 (Subtract 3x on both sides.)
6y=3x+5 (Divide both sides by 6.)
y=
6
3
x+
6
5
y=
2
1
x+
6
5
The slope of our first line is equal to
2
1
. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is
x
1
.
The negative reciprocal of
2
1
is equal to −2, therefore, −2 is the slope of our line.
Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:
6=(−2×1)+b
6=−2+b
b=6+2=8
Substitute this value for b in the equation y=−2x+b:
y=−2x+8
Hence, the equation of the line is y=−2x+8.
Step-by-step explanation:
make me as brain liest
whoever gets this question right first gets brainiliest
5 people share 1/2 of a jar of salsa equally.
How much salsa does each person get?
Nicole buys candy that costs $4 per pound. She will spend more than $28 on candy. What are the possible numbers of pounds she will buy?
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
-3.21
Step-by-step explanation:
If you pay close attention the numbers are 5 points away from each other, so after -3.2 is -3.21! Hope that helped love :)
1079 divided by 4 Yeah Also whoever helps thank you :D
Answer:
269.75
Hope this helps:)
Step-by-step explanation:
140,562 rounded to the nearest thousands
Answer:
It's 141,000
Step-by-step explanation:
because 4 or lower doesn't raise the rounding up it stay's the same if it is 4 or lower. But 5 or more raises it up so anything five or more you can round up. They taught me that in 4th grade but now i'm in 6th grade wich is so hard.
what value is equivalent to 13 - 2(1 - 15) divided by 14
Answer:
15
Step-by-step explanation:
Following PEMDAS you would do the equation in the parentheses first.
1 - 15 = -14
13 - 2 ⋅ (-14) divided by 14
-2 ⋅ (-14) = 28
13 + 28 divided by 14
28 divided by 14 = 2
13 + 2 = 15
Your answer is 15
Hope I helped :)
Please consider Brainliest :)
What is the equation for calculating portion size?
Answer:
How to Easily Calculate the Serving Size in Recipes
Weigh the Food. Before you can accurately divide your recipe into servings, you need to know how much it weighs in total. ...
Divide the Recipe into Servings. ...
Calculate Calories. ...
Save the Information.
Step-by-step explanation:
Find Each Sum.
1) (-1)+(-46)=
2) (-30)+10=
3) (-34)+50=
4) 38+(-5)=
Answer:
1 is -47.
2 is -20
3 is 16.
4 is 33.
Step-by-step explanation:
Brainiest?
Jana and Jenn are training to run a race. Jana runs 3 miles in 1/3 hour. Jenn runs 5 miles in 3/4 hour. Who runs faster, and what is the unit rate of her speed in minutes per mile?
Answer:
Jenn runs faster at 9 minutes/mile.
Step-by-step explanation:
Jana runs 3 miles in 1/3 hour.
1/3 hour is equivalent to 1/3*60 = 20 minutes
The ratio time/distance is the reciprocal of the speed and is greater as the speed is lower and vice-versa.
This ratio for Jana is 20/3=16.7 minutes/mile
As for Jenn, she runs 5 miles in 3/4 hour.
3/4 hour is equivalent to 3/4*60=45 minutes
The ratio time/distance is 45/5=9 minutes/mile
Since Jenn has a lower ration, her speed is greater than Jana's, thus Jenn runs faster.
Find the equation for a line in slope-intercept form that goes through the points (-3, -2) and (3, 16)
Answer:
y = 3x+7
Step-by-step explanation:
The standard form of equation in slope-intercept form is:
y = mx+c
m is the slope
c is the intercept
Given the coordinates (-3, -2) and (3, 16)
Get the slope;
Slope = ∆y/∆x
Slope = y2-y1/x2-x1
Slope = 16-(-2)/3-(-3)
Slope = 16+2/3+3
Slope = 18/6
Slope = 3
Get the Intercept
Substitute one of the points in the formula:
Using the coordinate (-3, -2)
y = mx+c
-2 = 3(-3)+c
-2 = -9 + C
c = -2+9
c = 7
Get the equation of the line by substituting m and c into the equation y = mx+c
y = 3x+7
find the value of x
I have to show the work
Answer:
x = 39
Step-by-step explanation:
A circle is made up of 360 degrees
235+ 54+ x+32 = 360
Combine like terms
x+321=360
Subtract 321 from each side
x+321-321 = 360-321
x = 39
HELP ME PLEASE!!!!!!!!!
Which statement describes the system of equations?
5x-3y=34
x-2y=4
It has infinitely many solutions.
It has no solution.
It has one solution (24/13, -14/13)
It has one solution (8, 2).
Answer: It has one solution (8, 2).
Step-by-step explanation:
I put both equations in Desmos and the solution was (8,2)
VODY VON
Dom
18. Mr. Cook's class has a female student to male student ratio of 3:2. If Mr. 5 points
Cook's class has 18 girls, how many boys does he have?
17 boys
5 boys
12 boys
16 boys
3252614683754629158741032465x93756356872264881+432757232878247-3243566=
Answer:
bout 7
Step-by-step explanation:
Answer:3.049533e+44 to be exact
Step-by-step explanation:
* Pending
This map shows the organization that was
association of nearly 30 countrior
in 2015, the number of fish in a pond was 80. In 2016 The number of fish declined by 75% How many fish were in the pond in 2016?
I think the the answer is 20
HELP PLEASEEEEEEEEEEE
Answer:
I not see the number 2
I think that is number 2
Answer:
first and last one should be the answer (not sure about the first, cant see it too good)
While attending a baseball game, Eva buys hamburgers and hotdogs for her family. The number of hot dogs bought is five more than the number of hamburgers bought. Hamburgers cost $6.25 each and hot dogs cost $3.75 each. Eva spent a total of $58.75 on the hamburgers and hot dogs.
Answer:
2.35 hamburgers
Step-by-step explanation:
H6.25 + H18.75 = 58.75
pair of angles is an example of supplementary angles will mark brainest
Answer:
Angle 1 and Angle 7
Step-by-step explanation:
Angle 1 and angle 7 are supplementary angles. Angle 3 and angle 7 are corresponding angles and angle 1 + angle 3 = 180
Answer:
Angle 1 and angle 7Step-by-step explanation:
supplementary angles adds up to 180
angle 1 and angle 7 is an example of supplementary angles.
other options do not apply.
HELP! WILL MARK BRAINLIEST!
Answer:
The answer to this question is C.
Step-by-step explanation:
All that you have to do is multiply the exponents.
Determine the number that can be used in place of the question mark to make the
equation true.
3^? = 27
Answer:
3
Step-by-step explanation:
You just divide 27 by 3, then divide that answer by 3, and keep doing that until you get to 1:
27/3
9
9/3
3
3/3
1
3^x = 27
3^3 = 27
3 x 3 x 3 = 27
9 x 3 = 27
27 =27