9514 1404 393
Answer:
x = 6
Step-by-step explanation:
The angle bisector divides the triangle proportionally. Here, the top segment on each half is double the length of the bottom one, (8 = 2·4), so ...
x = 2·3
x = 6
_____
If you like, you can write that as a proportion:
x/3 = 8/4
x = 3(8/4) = 3·2 . . . . . multiply by 3 to get x by itself
x = 6
which values of x are solutions to the eqaution below? 4x^2-30=34
Find the distance between the points (2,8) and (17,0).
Answer:
[tex]d = 17[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 8)
Point (17, 0)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(17-2)^2+(0-8)^2}[/tex]Subtract: [tex]d = \sqrt{(15)^2+(-8)^2}[/tex]Exponents: [tex]d = \sqrt{225+64}[/tex]Add: [tex]d = \sqrt{289}[/tex]Simplify: [tex]d = 17[/tex]The time period, T, of a simple pendulum is directly proportional to the square root of the length, d, of the pendulum.
When d=6, T=5
Find the value of T when d=3
Input note: give your answer correct to 2 decimal place.
Answer: T= 3.54
Step-by-step explanation:
Step 1
Given that
The time period, T, s doirectly proportional to the square root of the length, d, of the pendulum, we have that
T ∝ [tex]\sqrt{d}[/tex]
Introducing the constant of proportionality, we have that
T= K[tex]\sqrt{d}[/tex].
Step 2
When d=6, T=5, K =?
T= K[tex]\sqrt{d}[/tex].
5 = k[tex]\sqrt{6}[/tex]
5= k x 2.44949
k =5/2.44949
k =2.041
Therefore, when d = 3 , T= ?
T= K[tex]\sqrt{d}[/tex]
T= 2.041 x [tex]\sqrt{3}[/tex]
T= 3.53511≈ 3.54
(2^2)^4+3^3*3^3-43+85^2/85^2+23+445+54=?
Answer:
(2^2)^4+3^3*3^3-43+85^2/85^2+23+445+54= the answer is 1465
Please help, worth 20+! GIVE ANWERS! PLEASE ANDty
[tex]\huge\underbrace\mathtt\blue{∆ᴀɴsᴡᴇʀ∆}[/tex]
[tex]1) \: \: \: \frac{34}{100} = 0.34[/tex]
[tex]2) \: \: \: \: \frac{23}{50} = \frac{23 \times 2}{50 \times 2} = \frac{46}{100} = 0.46[/tex]
[tex]3) \: \: \: \frac{6}{8} = \frac{6 \times 125}{8 \times 125} = \frac{750}{1000} = 0.008[/tex]
[tex]4) \: \: \: \frac{1}{3} = 0.3[/tex]
(for no. 4 check the image in the attachment)
NEED ANSWER FAST PLEASE HELP!!!
If y − 4 = 2x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
A. {(2, 1), (4, 2), (6, 3)}
B. {(1, 2), (2, 4), (3, 6)}
C. {(4, 0), (6, 1), (8, 2)}
D. {(0, 4), (1, 6), (2, 8)}
Answer:
D
Step-by-step explanation:
plug in the coordinates for x and y
Which of the following is the equation of the line that is perpendicular to y=-4x-5 and goes through the point (-2, 3)? Question 14 options: y=-4x-5 y=-1/4x+5/2 y=1/4x+7/2 y=4x+11
Answer:
The equation of the perpendicular line to y=-4*x-5 is [tex]y=\frac{1}{4}*x+\frac{7}{2}[/tex]
Step-by-step explanation:
Perpendicular lines are two or more lines that intersect at an angle of 90 degrees. Being y = m * x + b the equation of a line, two lines, with a slope other than zero, are orthogonal or perpenducillary if and only if the product of their slopes is -1. In other words, if two lines are perpendicular, they have their slopes reversed and sign changed.
In this case, with y = -4x-5 the slope will be -4. So the slope of the perpendicular line will be [tex]\frac{1}{4}[/tex]. Then the equation of the perpendicular line will be:
[tex]y=\frac{1}{4}* x+b[/tex]
To find the value of b, you know the value of the point (-2,3). So x = -2 and y = 3. Replacing in the equation of the perpendicular line, you have:
[tex]3=\frac{1}{4}* (-2)+b[/tex]
Solving, you get:
[tex]3=-\frac{1}{2}+b[/tex]
[tex]3+\frac{1}{2}=b[/tex]
[tex]\frac{7}{2}=b[/tex]
The equation of the perpendicular line to y=-4*x-5 is [tex]y=\frac{1}{4}*x+\frac{7}{2}[/tex]
I GIVEEEEEEEEEEEEEEEEEE BRAAINLILSTER
Answer:
thx for giving brainliest
DOES ANYONE KNOW HOW TO FIND WHAT SLOPE REPRESENTS??? PLEASE HELP ME
Answer:
slope intercept form.
Step-by-step explanation:
heres the slope intercept form: y=mx+b.
this equation is what you will use to plot lines on graphs, points etc.
the letter b represents the y-intercept, where the line crosses a number on the y intercept on the graph. for example, an initial payment of 30 dollars.
the mx represents slope, or rate of change. for example, paying 5 dollars an hour.
you wouldn't plug a number to the x, but instead the m, because you'd multiply the m with the x.
Based on your question, I think you are asking what slope is. Slope is the rate of change.
Hope this helps!
Help please!!!! I’ll give brainilest
inverse laplace of L^-1 {5s/s^2 + 3s - 4}
Answer:
[tex]e^{t}+4e^{-4t}[/tex].
Step-by-step explanation:
To find the Laplace inverse of the above problem, we have to first solve the problem as a partial fraction, hence:
[tex]\frac{5s}{s^2+3s-4}=\frac{5s}{s^2+4s-s-4} \\\\=\frac{5s}{s(s+4)-1(s+4)}\\\\=\frac{5s}{(s-1)(s+4)}=\frac{A}{s-1}+\frac{B}{s+4}\\\\= \frac{A(s+4)+B(s-1)}{(s-1)(s+4)}\\\\Hence:\\\\\frac{A(s+4)+B(s-1)}{(s-1)(s+4)}=\frac{5s}{(s-1)(s+4)}\\\\A(s+4)+B(s-1)=5s\\\\to\ find \ A,put\ s=1:\\\\A(1+4)+B(1-1)=5(1)\\\\5A=5\\\\A=1\\\\to\ find \ B,put\ s=-4:\\\\A(-4+4)+B(-4-1)=5(-4)\\\\-5B=-20\\\\B=4\\\\Hence:\\\\\frac{5s}{s^2+3s-4}=\frac{1}{s-1}+ \frac{4}{s+4}\\\\[/tex]
[tex]L^{-1} [\frac{5s}{s^2+3s-4}]=L^{-1}[\frac{1}{s-1} ]+L^{-1}[\frac{4}{s+4} ]\\\\But\ L^{-1}[\frac{1}{s-a} ]=e^{at}\\\\Hence:\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=L^{-1}[\frac{1}{s-1} ]+L^{-1}[\frac{4}{s+4} ]=e^{t}+4e^{-4t}\\\\=e^{t}+4e^{-4t}[/tex]
What is the slope of the line?
У
1
X Х
Answer:151500
Step-by-step explanation:the is the answer
Carlos completed x3 squats as part of his football workout. if x=5, how many squats did he complete?
3x
We need to substitute x with 5 because the question is asking how many squats Carlos has completed if he completed 5.
3 x 5 = 15
Therefore, Carlos completed 15 squats as part of his football workout.
By the way, this question is very simple and basic. I recommend reviewing Algebra for your benefit/
Stephanie spends $15 each month to belong to a photography club. As a member of the club she can develop rolls of film for $2.50 each. Write and solve an equation to find the total amount Stephanie will spend this month if she develops 5 rolls of film.
Answer:
2.5*5= 12.5
15-12.5=2.5
So in order to pay the 15 dollars in the photography club, she only has to pay 2.50
negative 4 divided by 3 as a fraction.
Answer:
-4/3
Step-by-step explanation:
Because 3 is a prime number, the answer can't be reduced furthermore making your answer -4/3.
Answer:
The answer is -1.333
Step-by-step explanation:
As a fraction it is 1 333
-----
1000
Drag and drop the answers into the boxes to correctly convert between decimals, fractions, and percents.
Answer:
?
Step-by-step explanation:
There is no photo...
Question on the attachment.. Please help
Answer:
yehh it would be efffective
Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 181.5 square centimeters
Answer:
The base and height of the solid is 5.5cm
Step-by-step explanation:
Given
[tex]Surface\ Area = 181.5cm^2[/tex]
Required
Determine the dimensions that maximizes the volume
Let the base dimension be x and the height be h
The volume is calculated as:
[tex]Volume =x^2 * h[/tex]
[tex]Volume =x^2h[/tex]
181.5 =x^2h
The surface area (S) is calculated as this:
[tex]S = 2(x^2 + xh + xh)[/tex]
[tex]S = 2(x^2 + 2xh)[/tex]
[tex]S = 2x^2 + 4xh[/tex]
Substitute 181.5 for S
[tex]181.5 = 2x^2 + 4xh[/tex]
Make h the subject:
[tex]4xh = 181.5 - 2x^2[/tex]
[tex]h = \frac{181.5 - 2x^2}{4x}[/tex]
Substitute [tex]h = \frac{181.5 - 2x^2}{4x}[/tex] in [tex]Volume =x^2h[/tex]
[tex]V = x^2(\frac{181.5 - 2x^2}{4x})[/tex]
[tex]V = x(\frac{181.5 - 2x^2}{4})[/tex]
[tex]V = \frac{1}{4}(x)(181.5 - 2x^2)[/tex]
[tex]V = \frac{181.5x}{4} - \frac{2x^3}{4}[/tex]
[tex]V = \frac{181.5x}{4} - \frac{x^3}{2}[/tex]
To get the maximum, we differentiate V with respect to t and set the differentiation to 0
[tex]dV = \frac{181.5}{4} - \frac{3x^2}{2}[/tex]
Set to 0
[tex]0 = \frac{181.5}{4} - \frac{3x^2}{2}[/tex]
[tex]\frac{3x^2}{2} = \frac{181.5}{4}[/tex]
Multiply through by 4
[tex]4 * \frac{3x^2}{2} = \frac{181.5}{4} * 4[/tex]
[tex]2*3x^2 = 181.5[/tex]
[tex]6x^2 = 181.5[/tex]
[tex]x^2 = \frac{181.5}{6}[/tex]
[tex]x^2 = 30.25[/tex]
[tex]x = \sqrt{30.25[/tex]
[tex]x = 5.5[/tex]
Recall that:
[tex]h = \frac{181.5 - 2x^2}{4x}[/tex]
[tex]h = \frac{181.5 - 2 * 5.5^2}{4 * 5.5}[/tex]
[tex]h = \frac{181.5 - 60.5}{22}[/tex]
[tex]h = \frac{121}{22}[/tex]
[tex]h = 5.5[/tex]
So, we have:
[tex]h = 5.5[/tex]
[tex]x = 5.5[/tex]
Hence, the base and height of the solid is 5.5cm
Given a Segment AB find the distance; B = 30 and A = 10
Answer:
use formula of distance ;
Step-by-step explanation:
d = distance
(x_1, y_1) = coordinates of the first point
(x_2, y_2) = coordinates of the second point
so d is √((x_2-x_1)²+(y_2-y_1)²)
to find the distance between any two points.
taking A as x coordinate and B as y coordinate ie
A= [10,0]; B= [0,30]
[10 is x1 ,0 is y1 ]; [0is x2 and 30 is y2]
putting values in distance formula
√(0-10)²+(30-0)²
= √( -10 )²+(30)²
=[tex]\sqrt[/tex] 100+900
=√1000
= 31.622
the distance between ab is 31.62 or√1000
Kevin is planting 15 bushes and 9 trees in rows if he wants all the rows the same with no plants left over what is the greatest number of rows kevin can plant
I need help!! Given: Quadrilateral pqrt , qsv , ptv , qv bisects rt , and Qr//pv
prove: QS=VS
What is the Statement and Reasons
Answer:
Statement 1: Quadrilateral PQRT; line QSV; line PTV line QV bisects line RT, and line OR is parallel to line PV
Statement 3: angle QSR is congruent to angle VST
Statement 5: Triangle RSQ is congruent to angle TSV
Reason 1: Given
Reason 2: If a line bisects a segment, then it divides the segment into two congruent segments.
Reason 4: If two lines are parallel, then the alternate interior angles are congruent.
Step-by-step explanation:
The first statement will always be your given statements.
The given result is proved by ASA congruence criteria.
What are the criteria for congruent triangles?Two triangles are said to be congruent when all of their corresponding sides and angles are equal. For this relation between two triangles, there are many criteria such as SSS, SAS, ASA and RHS.
The given problem can be solved in statement and reason form as follows,
In triangles ΔQSR and ΔTSV,
Statement Reason
1. ∠QRS = ∠STV Alternate interior angles for QR║PV
2. RS = TS QV bisects Line segment RT
3. ∠QRS = ∠VTS Vertically opposite angles
4. ΔQSR ≅ ΔTSV Triangles are congruent by ASA
Thus, QS =VS due to corresponding parts of congruent triangles.
Hence, QS = VS is proved by the ASA criteria for congruent triangles.
To know more about congruent triangles click on,
https://brainly.com/question/22062407
#SPJ2
Answer please! Find the answer to both questions
Answer:
APtₙ = (n-2)k² + (2n - 3)k + nStep-by-step explanation:
Given sequence:
-k² - k + 1, k + 2, k² + 3k + 3, 2k² + 5k + 4, ...We can see apart from the second term all terms are 2nd degree trinomial so it is not a GP.
Let's find the difference: to determine if it is a AP:
k + 2 - (-k² - k + 1) = k + 2 + k² + k -1 = k² + 2k + 1k² + 3k + 3 - (k + 2) = k² + 3k + 3 - k - 2 = k² + 2k + 12k² + 5k + 4 - (k² + 3k + 3) = 2k² + 5k + 4 - k² - 3k - 3 = k² + 2k + 1As we see the difference is common and it confirms the sequence is AP.
First term is
a₁= -k² - k + 1Common difference is
d = k² + 2k + 1nth term is:
tₙ = a₁ + (n-1)dtₙ = -k² - k + 1 + (n-1)(k² + 2k + 1) =-k² - k + 1 + (n-1)k² + (n-1)*2k + n-1 =(n-2)k² + (2n - 3)k + n550 is 5% of what number?
Which statements are correct? Check all that apply.
Answer:
11000
Step-by-step explanation:
if we substitute the equation with 11000 550 is 5% of 11000
Drag and drop each number to its correct position on the number line.
i forgot the number line, so sorry
Answer:
-⅜ is between -1 and 0
⅞ is between 0 and 1
-2½ is between -3 and -2 ( in the mid )
2½ is between 2 and 3 ( in the mid )
Andrew had $120. He gave one-third of that amount to charity. How much money did he give to charity? a. 40 c. 60 b. 90 d. 80 Please select the best answer from the choices provided A B C D
Write and solve an equation to find the number of miles you must drive to have the same cost for each of the car rentals. Let m represent the number of miles. $20+.50 per mile and $30+.25 permile
Answer:
equation: 20+0.50x=30+0.25x
answer: 40 miles
Step-by-step explanation:
i'm a math genius
3. A large banquet room holds 288 people, with each table seating 8. How many tables can the banquet hall have without going over its capacity? Maneuvering the Middle LLC.
Answer: 36 tables
Step-by-step explanation: Just divide 288 by 8. I hope this helps!
Help with this puzzle for Brainliest!
211 is 500% of what number
Answer: 42.2
Step-by-step explanation:
500/100 = 5
211/5 = 42.2
Answer:
It is 42.2!
Step-by-step explanation:
You divide 211 by 5 and get 42.2
So, 211 is 500% of 42.2! :D
Have a great day!
Solve.
D = HS, for s
Answer:
The answer is S=D/H
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.