Answer:
titutex=cos\alp,\alp∈[0:;π]
\displaystyle Then\; |x+\sqrt{1-x^2}|=\sqrt{2}(2x^2-1)\Leftright |cos\alp +sin\alp |=\sqrt{2}(2cos^2\alp -1)Then∣x+
1−x
2
∣=
2
(2x
2
−1)\Leftright∣cos\alp+sin\alp∣=
2
(2cos
2
\alp−1)
\displaystyle |\N {\sqrt{2}}cos(\alp-\frac{\pi}{4})|=\N {\sqrt{2}}cos(2\alp )\Right \alp\in[0\: ;\: \frac{\pi}{4}]\cup [\frac{3\pi}{4}\: ;\: \pi]∣N
2
cos(\alp−
4
π
)∣=N
2
cos(2\alp)\Right\alp∈[0;
4
π
]∪[
4
3π
;π]
1) \displaystyle \alp \in [0\: ;\: \frac{\pi}{4}]\alp∈[0;
4
π
]
\displaystyle cos(\alp -\frac{\pi}{4})=cos(2\alp )\dotscos(\alp−
4
π
)=cos(2\alp)…
2. \displaystyle \alp\in [\frac{3\pi}{4}\: ;\: \pi]\alp∈[
4
3π
;π]
\displaystyle -cos(\alp -\frac{\pi}{4})=cos(2\alp )\dots−cos(\alp−
4
π
)=cos(2\alp)…
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2. Explain and correct the error made by a student who simplified this expression.
–2x + 7x + 8
(–2 + 7 + 8)x
13x
Which of the following equations correctly represents the set-up to solve for x?
A: x-6+2x=10
B: x-6+2x=90
C: x-6=2x-8
D: x-6+2x-8=180
Answer:
x-6 + 2x-8 = 10
Step-by-step explanation:
ST + TU = SU
x-6 + 2x-8 = 10
Combine like terms
3x - 14 = 10
Add 14 to each side
3x-14+14 = 10+14
3x = 24
The sum of a number and 32 is two-thirds the number and 45. (Algebra)
Answer:
he sum of a number and 16 is equal to 45. 2. The product of 6 and m is 216. 3. The difference of 100 and x is 57. 4. The quotient of z and 10 is 32. X+16= 45.
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
45 divided by 3 is 15 and if you multiply that by 2 you get 30. 32 - 2 is 30
0.00125mi squared=?ft squared
Answer:
6.6
Step-by-step explanation:
Multiply the length value by 5280
Considering only functions that have a rate of change less than that represented in the graph, which function has the greatest rate of change?
A. y = 7/6x + 2/3
B. y = 7/5x + 7/5
C. y = 6/5x + 11/5
D. y = 5/4x + 15/4
=======================================================
Explanation:
Slope is the same as the rate of change for any linear function. We ignore the y intercepts.
The slopes of the four equations, A through D, are: 7/6, 7/5, 6/5, and 5/4
This is because each equation is in y = mx+b form with m as the slope.
Convert each fractional slope into decimal form
7/6 = 1.167 approximately7/5 = 1.4006/5 = 1.2005/4 = 1.250We see that 7/5 produces the largest decimal, so 7/5 is the largest fraction of the four slopes.
Therefore equation y = (7/5)x+7/5 has the greatest rate of change.
if the volume of a cube is 1,729 cubic inches, what is the length of each of its sides
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
I think It must be 1,728.
So :
[tex] \sqrt[3]{1728} = 12[/tex]
Thus each of its sides has a length of 12 inch.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Work out the answers to:
a) 13+ (-20)
b) (-14) + (-11)
c) 18 -(-9)
d) (-21)-(-36)
Answer:
a. -7
b. -25
c. 27
d. 15
Step-by-step explanation:
The solution of expression is a) 13 + (-20) = -7
b) (-14) + (-11) = -25
c) 18 - (-9) = 27
d) (-21) - (-36) = 15
a) 13 + (-20) = -7
To add a positive number and a negative number, we subtract the absolute values and use the sign of the number with the greater absolute value.
b) (-14) + (-11) = -25
When adding two negative numbers, we simply add their absolute values and retain the negative sign.
c) 18 - (-9) = 27
Subtracting a negative number is equivalent to adding its positive value. Therefore, 18 - (-9) becomes 18 + 9, which equals 27.
d) (-21) - (-36) = 15
Similar to the previous example, subtracting a negative number is equivalent to adding its positive value. (-21) - (-36) becomes (-21) + 36, which equals 15.
Learn more about expression here
https://brainly.com/question/17508055
#SPJ2
53.28 is what percent of 71.04?
Answer:
15.43
Step-by-step explanation:
71.04% off 53.28 is 15.43
The difference is 37.85 ,hope i helped
A set of 4 consecutive integers has a sum of 234. What is the least of the 4 integers?
Answer:
57 is the least out of the 4 numbers or integers here
Step-by-step explanation:
57,58,59,60
hope this helps ;)
If you add a negative
Answer:
Then you don't change the sign.
Two like signs become a positive sign.
Two unlike signs become a negative sign.
solve 15-2x=3x
the solution is x=
Answer:
x=3
Step-by-step explanation:
15-2x=3x
solve for x:
15=5x
divided by 5:
3=x
Answer:
x = 3
Step-by-step explanation:
15 -2x = 3x {Add 2x to both sides}
15 = 3x + 2x
15 = 5x
15/5 = x {divide both sides by 5}
x = 3
A line has the following equation: y=\frac{6}{7}x+5y=
7
6
x+5
What is the slope of a line parallel to the given line?
Question Blank
type your answer...
What is the slope of a line perpendicular to the given line?
Question Blank
type your answer...
Answer:
Step-by-step explanation:
I'm still not exactly sure what the question really is, but the level suggests that it is
y = (6/7)x + 5
Any line that is parallel to this line has a slope of 6/7
Any line that is perpendicular to this line is a little more complicated.
slope of given line * slope of perpendicular line = - 1
6/7 * perpendicular slope = - 1
Multiply by 7
6*perpendicular slope = - 7
Divide by 6
perpendicular slope = - 7/6
1. Which lines or segments are parallel? Justify your answer.
C H 45° M А R Segment CM || Segment HA by Converse of the Alternate Interior Angles
Postulate Segment CA || Segment HR by Converse of the Corresponding Angles
Postulate Segment CA || Segment HR by Converse of the Alternate Interior Angles
Postulate Segment CM || Segment HA by Converse of the Corresponding Angles Postulate
Answer:
Segment CA || Segment HR (by Converse of the Corresponding Angles Postulate)
Step-by-step explanation:
Postulate Segment CA || Segment HR by Converse of the Corresponding Angles
4n - 3n3 - 3n3 + 4n
please help quick
Answer:
8n-6n6
Step-by-step explanation:
collection of like terms
4n+4n-3n3-3n3
8n-6n6
An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent.
wat is the answer
Answer:
There was a 25% increase.
Step-by-step explanation:
What is the value of k in the equation?
20
209
Answer:
13
Step-by-step explanation:
9+4=13
when dividing, exponents subtract
Answer:
The Answer is 20^13
Step-by-step explanation:
to solve this equation all you have to do really is look at the exponents
anytime your dividing an exponent its subtraction so if the top is 20^k and ur looking for k look at the other numbers we have on the bottom of the fraction
20^4 and we have the answer as 20^9 , all we have to do it add the exponents 4 and 9 to get 13
High Hopes ^^
Barry
Solve the compound inequality and graph the solutions,
-1
Answer:
Step-by-step explanation:...
What is the area of a triangle with vertices at (-2, -1), (4, -1), (6,5)?
6 square units
9 square units
18 square units
36 square units
Answer: C
Step-by-step explanation:
Ella swims four times a week at her club's pool. She swims the same number of laps on Monday, Wednesday, and Friday, and 15 laps on Saturday. She
swims a total of 51 laps each week. How many laps does she swim on Monday
The _______ name of a number is how it sounds when we say its name the long way.
Answer:
Word. The word name
Step-by-step explanation:
I hope this helps you :)
solve for r step by step v =1/3 IIR^3 h
Answer:
[tex]r=\sqrt[3]{\frac{3v}{\pi h} }[/tex]
Step-by-step explanation:
The equation is v=1/3πr³h
Multiply both sides of equation by 3 to get
3v=πr³h
Divide both sides of the equation by πh to get
3v/πh = r³
Apply cube root on both sides of the equation as;
[tex]\sqrt[3]{\frac{3v}{pih} } =r[/tex]
Find AC,AB=9x+1 BC=6x+25
Answer:
do u have a pic
Step-by-step explanation:
i need more info
Solve the equation for m
Q=mL
Answer:
m = Q/L
Step-by-step explanation:
Step 1: Write equation
Q = mL
Step 2: Solve for m
Divide both sides by L: Q/L = mRewrite: m = Q/LIf f(x) = -x +6 and the domain of f is { 3, 7 , 11}, what is the range of f(x)?
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
Step-by-step explanation:
hope it helps
Answer:
B
Step-by-step explanation:
When Joe started his job at the laundromat five years ago, his wage was $6.00 an hour. Today, his wage is $8.50 an hour. If Joe started his job in the base year, and his real wage is the same as when he started, what is the Consumer Price Index (CPI) today
Answer:
142
Step-by-step explanation:
The computation of the Consumer Price Index (CPI) today is shown below:-
Real Salary today / Real Salary 5 years ago = CPI today ÷ CPI 5 years ago
CPI today ÷ 100 = 8.50 ÷ 6
= 142
Therefore for computing the Consumer Price Index (CPI) today we simply applied the above formula and the same is to be considered
At an animal shelter, the ratio of cats to dogs is 2:3. If there are 40 cats and dogs altogether, then how many dogs are there?
NEED HELP ASAP!!!!
Answer:
40:60 so 60 dogs
Step-by-step explanation:
Its multiplied by 20
i'm back at it again. anyone helppp I'm so confused rnn
Explanation:
For every problem, plug in the number where the variable is.
For example:
Evaluate the following expression by substituting 8 for x.
x + 9
You would take the x and turn it into 8, then you would do 8 + 9.
Answer:
1)
a= 17
b= 7
c= 56
d= 4
e= 29
f= 10
g= 18
h= 4
2)
a= -1
b= 2/3
c= -4/3
d= -5/3
e= -2
f= -8/3
g= -14/9
h= -17/9
3)
a= 1/2
b= 5/6
c= 1/6
d= -1/3
e= 1/3
f= 5/12
g= 7/18
h= 0.75
Step-by-step explanation:
Why the following triangles are congruent!
Answer:
Because the sides BO and MA are marked with one line through the middle, which means those sides are congruent, angle A and Angle O are marked with one line, the angles are congruent, and angles W and N are marked with two lines, which means they are congruent. Therefore the triangles are congruent
What does x equal? 2/7(x+4)=−6
Answer:
[tex]\boxed{x=-25}[/tex]
Step-by-step explanation:
[tex]\frac{2}{7} (x+4)=-6[/tex]
→ Multiply everything by 7 to get rid of the fraction
[tex]2(x+4)=-42[/tex]
→ Expand the bracket
[tex]2x+8=-42[/tex]
→ Minus 8 from both sides to isolate 2x
[tex]2x=-50[/tex]
→ Divide both sides by 2 to isolate x
[tex]x=-25[/tex]
a, b, c, or d? i need helpsjdndnd
Answer:
d, I think
Step-by-step explanation:
absolute val of 5 is greater than absolute val of 4