Answer:
m=5/3
Step-by-step explanation:
Answer:
5/3 or 1 2/3
Step-by-step explanation:
First you subtract 4/3 from the left side. 23/6-4/3= 2 1/2
Then you multiply 2 on both sides, this simplifies the left side to be 3m and the right side 5.
Lastly, you divide by 3 to isolate the variable m.
And you get 5/3, which also equals 1 2/3
Instructions: Find the missing segment in the image below plz help me
Answer:
56
Step-by-step explanation:
that is the procedure above
The missing segment in the image below is 8.
The missing segment is the side length of the small triangle that is formed by the two red lines and the green line. We can find the length of this side length by using the Pythagorean Theorem.
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the missing segment, and the other two sides are 4 and 5.
missing [tex]segment^2[/tex] = [tex]4^2[/tex] + [tex]5^2[/tex]
missing [tex]segment^2[/tex] = 16 + 25
missing [tex]segment^2[/tex] = 41
missing segment = √41
Therefore, the missing segment is √41.
Here are the steps in detail:
Identify the small triangle that is formed by the two red lines and the green line.
Label the sides of the triangle with the letters A, B, and C, where C is the missing segment.
Substitute the known side lengths into the Pythagorean Theorem.
Solve for the length of the missing segment.
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What are the solutions to the quadratic equation below?
GEOMETRY HELP NEEDED PLEASE!!
Answer:
None of these are correct.
Step-by-step explanation:
Multiplication property - Incorrect since no multiplication is involved
Subtraction property - Incorrect since no subtraction is involved
Reflexive property - This one's tough, but switching the order of the terms does not apply to the property
So, D is correct.
Find an expression for a rational function f(x) that satisfies the conditions: a slant asymptote of y = 2x, vertical asymptote at x = 1, and contains the point (0, 6).
Complete Question
The complete Question is attached below
Answer:
Option D
Step-by-step explanation:
From the question we are told that:
Slant asymptote of [tex]y = 2x[/tex]
Vertical asymptote at [tex]x = 1,[/tex]
Points (0,6)
Generally the Denominator is give as
With
Vertical Asymptote at
[tex]x -1=0[/tex]
Therefore
Denominator = (x-1)
Generally Slant asympote 2x Gives the Coefficient of the numerator
Therefore
The expression for a rational function f(x) that satisfies the conditions
[tex]F(x)=\frac{2x^2-2x-6}{x-1}[/tex]
Option D
Help, please (single variable calculus)
Hi there!
[tex]\large\boxed{ 14.875}[/tex]
Our interval is from 0 to 3, with 6 intervals. Thus:
3 ÷ 6 = 0.5, which is our width for each rectangle.
Since n = 6 and we are doing a right-riemann sum, the points we will be plugging in are:
0.5, 1, 1.5, 2, 2.5, 3
Evaluate:
(0.5 · f(0.5)) + (0.5 · f(1)) + (0.5 · f(1.5)) + (0.5 · f(2)) + (0.5 · f(2.5)) + (0.5 · f(3)) =
Simplify:
0.5( -2.75 + (-3) + (-.75) + 4 + 11.25 + 21) = 14.875
Which polynomial represents the sum below?
7x9.5x*-**8
5x 0.9x**
A. 5x10.7x8 + 5x5.9x+16
B. 5x10 + 7x8 + 5x5 + 8x+ 16
C. 12x18+1474+8x+ 16
D. 12/16 + 4X4+ 7x+ 16
Use the coordinates of the labeled point to find the point-slope equation of
the line.
(2, -1)
Answer: (C) [tex]y+1=-2(x-2)[/tex]
Step-by-step explanation:
Slope: y = mx +b
By looking at the graph we can see that the slope has a rise of 2 and a run of -1 (aka. -2x) We can also tell that this has a y-intercept of 3
So our slope is: y = -2x + 3
Now you just have to find the answer that matches.
SOMEONE PLEASE HELP ME!!!!!!!
Answer:
Step-by-step explanation:
[tex]\frac{57}{40.3}=\frac{23}{QR} \\[/tex]
cross multiply
57(QR)=926.9
QR=16.26...
round to nearest tenth
QR=16.3
x-2/x+2-3/x-2=2*(x-11)/x^2-4
9514 1404 393
Answer:
x = 4 or x = 5
Step-by-step explanation:
Maybe you want to solve ...
[tex]\dfrac{x-2}{x+2}-\dfrac{3}{x-2}=2\dfrac{x-11}{x^2-4}\\\\\dfrac{(x-2)^2-3(x+2)-2(x-11)}{x^2-4}=0\\\\\dfrac{x^2 -4x+4-3x-6-2x+22}{x^2-4}=0=\dfrac{x^2-9x+20}{x^2-4}\\\\{x^2-9x+20}=0=(x-5)(x-4)\ \Rightarrow\ x=\{4,5\}[/tex]
The solutions are x=4 and x=5.
_____
Additional comment
The Order of Operations requires that we interpret your input as ...
x -(2/x) +2 -(3/x) -2 = (2(x -11)/x^2) -4
This is probably not what you want.
In order to get the interpretation we have used above, you need to use parentheses around any numerator or denominator containing arithmetic operations:
(x -2)/(x +2) -3/(x -2) = 2(x -11)/(x^2 -4)
please help me please i need help
Answer:
3.6cm cubed
Step-by-step explanation:
First solve for both glasses' volumes.
Use l×w×h to plug in the numbers:
3.1×2×3=18.6
3.7×2×3=22.2
then subtract= 3.6
Answer:
3.6 [tex]cm^{3}[/tex]
Step-by-step explanation:
Volume for first container is 3.1 x 2 x 3 = 18.6
Volume for second container is 3.7 x 2 x 3 = 22.2
22.2 - 18.6 = 3.6
AABC is a right triangle in which zB is a right angle, AB = 1, AC = 2. and BC = V3.
COS Cx sin A =
The value of COS Cx sin A by the given data is V3/4.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).
We are given that;
AB = 1, AC = 2 and BC = V3
Now,
To find the value of cos C x sin A, we need to use the trigonometric ratios of the right triangle.
We know that cos C = adjacent/hypotenuse = AB/AC = 1/2 and sin A = opposite/hypotenuse = BC/AC = V3/2.
cos C x sin A = (1/2) x (V3/2) = V3/4.
Therefore, by the trigonometric ratio the answer will be V3/4.
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help plss and explain!!
If 7x^2 - mx-12 is equal to (7x + n)(x-6), where m and n are constants, find the value of m.
Answer:
m=40
Problem:
If 7x^2 - mx-12 is equal to (7x + n)(x-6), where m and n are constants, find the value of m.
Step-by-step explanation:
We want to find n amd m such that
(7x+n)(x-6)=7x^2-mx-12.
Since (ax+b)(cx+d)=acx^2+(ad+bc)x+bd, then we need or should have the following:
(7x)(x)=7x^2
(7×-6+n×1)x=-mx
(n)(-6)=-12
The bottom equation tells us n=2 since 2(-6)=-12.
The first equation is already true.
Now we must solve (7×-6+n×1)x=-mx with n=2 for m.
That is we need to solve 7×-6+2×1=-m
Simplify and done -m=-42+2=-40 so m=40.
Let's do a check
7x^2 - mx-12 is equal to (7x + n)(x-6)
7x^2-40x-12 is equal to (7x+2)(x-6)
(7x+2)(x-6)=7x(x)+7x(-6)+2(x)+2(-6)
(7x+2)(x-6)=7x^2-42x+2x-12
(7x+2)(x-6)=7x^2-40x-12 and that is what we wanted.
Another way:
We want (7x+n)(x-6)=7x^2-mx-12 to be true for all x.
So if x=0 or for x=1, we want the equation to be true.
Insert x=0. This gives (n)(-6)=-12 which implies n=2.
(7x+2)(x-6)=7x^2-mx-12
Insert x=1. This gives (7+2)(1-6)=7-m-12.
Simplify both sides: 9(-5)=-m-5
Continue to simplify left side: -45=-m-5
Add 5 on both sides: -40=-m
Multiply both sides by -1: 40=m
Use Rearranging Formulae
M = 2(r - p) find R
M = 2 ( r - p) find P
2)0000==============]
What is the value of −8−√288 / 2∙(−2)?
Answer:
[tex] \frac{ - 8 - \sqrt{288} }{2 \times ( - 2)} = \frac{ - 8 -16.97 }{ - 4} = \frac{ - 24.97}{ - 4} = 6.2425[/tex]
What is the largest three-digit palindrome divisible by 18?
Answer:
252
Step-by-step explanation:
A certain rectangular prism has a height of 6 m, a length of 5 m, and a width of 4 m. Give the dimensions of a second rectangular prism that will have the same surface area of the first one.
Please don't put unhelpful answers!
Answer:
I think sqrt(74/3)
Step-by-step explanation:
I saw this problem before
Which expression is equivalent to
36÷3+3
a 3x2^+3
b 2^2÷3x3
c 3x2^2÷3
d 2^2+3x3
Frank tried to solve an equation step by step.
-5=5(d+4)
-5=5d+20 Step 1
15=5d Step 2
3=d Step 3
Find Frank's mistake
a) Step 1
b) Step 2
c) Step 3
d) Frank did not make a mistake
Answer:
B
Step-by-step explanation:
when grouping the like terms the 20 will become a negative therefore -20-5 is -25 so the 5d has to be divided into -25 and not 15.. making the rest of the answer wrong.
-5-20=5d
-25/5=5d/5
-5=d
I hope this helps
Answer:
Step 2
Step-by-step explanation:
khan
Given: ∠N ≅ ∠S, line ℓ bisects at Q.
Prove: ∆NQT ≅ ∆SQR
Which statement belongs in Step 4?
Answer:
angle NQT equals angle STR
Step-by-step explanation:
You already have two angLes, you just need a side to be able to say the AAS Theorem. The answer is the remaining side to figure that out
how many metres are there in 5½ kilometres
Answer:
5500m..................
Helppppppp pleaseeeeeee
Answer:
x=19.27329
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / hyp
tan 56 = x/ 13
13 tan 56 = x
x=19.27329
Combine these radicals. -√5-3√5
Answer:
-4√5
Step-by-step explanation:
-√5-3√5
-√5(1 + 3)
-4√5
is this right or not please say
Answer:
yup you're answer is correct
In a taste test, five different customers are each presented with 3 different soft drinks. The same soft drinks are used with each customer, but presented in random order. If the selections were made by random guesses, find the probability that all five customers witnesses would pick the same soft drink as their favorite. (There is more than one way the customers can agree.)
Answer:
0.01235
Step-by-step explanation:
we can solve for probability by using the formula;
favourable outcome/total number of outcomes
in this question, the number of favorable outcome = 3
the total number of outcomes = 3⁵
= 3x3x3x3x3 = 243
probability = 3/243
= 0.012345678
this can be approximated to be 0.01235
0.01235 is therefore the probability that all 5 customers would pick the same soft drink as their favorite drink.
Find the next three terms in the geometric sequence -3, 9, -27, 81, ...
Answer:
...-243, 729, -2187
Step-by-step explanation:
-3, 9, -27, 81, -243, 729, -2187
Everytime ×(-3)
-3×(-3)=9
9×(-3)=-27
-27×(-3)=81
Etc.
Michael's class took a field trip to the art museum. It took them 45 minutes to drive to the museum. They stayed at the museum for 1 hour and 25 minutes. When the class left the museum, it was 11:10AM What time did Michael's class leave for the field trip?
. If QS bisects angle PQR, m angle PQS = (7x - 6)° , and m angle SQR = (4x + 15)° , find m angle PQT.
Answer:
94
Step-by-step explanation:
PQS = (7x - 6)°
SQR = (4x + 15)° since QS bisect PQR these two expressions must be equal
so
7x - 6 = 4x + 15 transfer like terms to the same side of the equation
7x - 4x = 15 + 6
3x = 21 divide both sides by 3
x = 7
also the sum of these two would give us the measure of PQR
7x + 4x + 15 - 6 = PQR
11x + 9 = PQR replace x with 7
11*7 + 9 = 86 this is the measure of angle PQR and also supplementary to PQT so the measure of PQT = 180 - 86
If QS bisects angle PQR. the m<PQT=94 °
Given :
Measure of angles PQS = (7x - 6)° , and m angle SQR = (4x + 15)°
QS bisects angle PQR. So m<PQS=m<SQR
[tex]7x-6=4x+15\\Solve \; for \; x\\7x-4x-6=15\\3x-6=15\\3x=15+6\\3x=21\\divide \; by \;3 \\x=7[/tex]
Now we find out m<PQR
[tex]m<PQR=m<PQS+m<SQR\\m<PQR=7x-6+4x+14\\m<PQR=11x+8\\x=7\\m<PQR=11(7)+8=85[/tex]
We know that <PQR and <PQT are linear pair of angles
The sum of linear pair of angles are supplementary
[tex]m<PQR+m<PQT=180\\86+m<PQT=180\\m<PQT=180-86\\m<PQT=94[/tex]
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357 students went on a field trip. Eight
buses were filled and 5 students traveled
in cars. How many students were in each
bus?
Answer:
There were 44 students in each bus.
Step-by-step explanation:
357 - 5 = 352
352/8 = 44
Answer:
Step-by-step explanation:
Total students = 357
Total buses filled = 8
No of students traveled in car = 5
Remaining students = 357 - 5 = 352
Students in each bus = 352 ÷ 8 = 44 students
GEOMETRY: PLEASE HELP!!
Answer:
[tex]GF=72[/tex]
Step-by-step explanation:
All triangles in the given figure are similar, from SAS. Notice that marked in the diagram, [tex]CD=DE=EF=FA[/tex].
For triangle [tex]\triangle CGF[/tex] was base [tex]GF[/tex], leg [tex]CF[/tex] contains three of these marked segments. In triangle [tex]\triangle CHE[/tex] with base [tex]HE[/tex], leg [tex]CE[/tex] has two of these marked segments. By definition, similar polygons have corresponding sides in a constant proportion. Therefore, the length of GF must be [tex]3/2[/tex] the length of EH. Since the length of EH is given as 48, we have:
[tex]GF=\frac{3}{2}EH, \\\\GF=\frac{3}{2}\cdot 48,\\\\GF=\boxed{72}[/tex]
I need help asap!!!!!!!!!
How many solutions can be found for the equation 3y + 5 − 2y = 11?
A. Zero
B. One
C. Two
D. Infinitely many
Answer:
B one
Step-by-step explanation:
3y + 5 - 2y = 11
3y -2y + 5 = 11
Combine like terms
y + 5 = 11
Subtract 5 from both sides
y = 11 - 5
y = 6
So, Only one solution
Answer:
there is only 1 solution.
Step-by-step explanation:
We can solve the equation to find it's number of solutions, but we already know it only has 1 solution because it is a linear equation (y is raised to the first power).
3y + 5 − 2y = 11
y + 5 = 11
y = 6
This confirms that there is only 1 solution.-------