Answer:
We conclude that:
[tex]\sqrt{\left(-81\right)x^2}=9ix[/tex]
Step-by-step explanation:
Given the radical expression
[tex]\sqrt{\left(-81\right)x^2}[/tex]
simplifying the expression
[tex]\sqrt{\left(-81\right)x^2}[/tex]
Remove parentheses: (-a) = -a
[tex]\sqrt{\left(-81\right)x^2}=\sqrt{-81x^2}[/tex]
Apply radical rule: [tex]\sqrt{-a}=\sqrt{-1}\sqrt{a},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=\sqrt{-1}\sqrt{81x^2}[/tex]
Apply imaginary number rule: [tex]\sqrt{-1}=i[/tex]
[tex]=i\sqrt{81x^2}[/tex]
Apply radical rule: [tex]\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]
[tex]=\sqrt{81}i\sqrt{x^2}[/tex]
[tex]=9i\sqrt{x^2}[/tex]
Apply radical rule: [tex]\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=9ix[/tex]
Therefore, we conclude that:
[tex]\sqrt{\left(-81\right)x^2}=9ix[/tex]
R
Which equation is true for triangle QRS?
100
24
s
sin (1009
3.5
sin)
2.4
3.5
Q
osin
(1009
3.5
sin (0)
2.4
Law of sines: Sin(A) = sin(B)
sin()
C
a
sin (1009
214
sin
3.5
sin 100
214
sin (0)
3.5
Answer: The answer is A
Step-by-step explanation: I took the test on edge and got it right
The equation that is true for triangle QRS is -
Sin(100°)/3.5 = sin(S)/2.4
What is the law of sines?The law of sines can be stated as -
Sin(α)/a = Sin(β)/b = Sin(γ)/c
Given is to identify the equation that is true for triangle QRS.
Refer to the triangle as shown in the image attached. Using the law of sines, we can write -
Sin(α)/a = Sin(β)/b
Sin(100°)/3.5 = sin(S)/2.4
Therefore, the equation that is true for triangle QRS is -
Sin(100°)/3.5 = sin(S)/2.4
To solve more questions on graphs, visit the link below-
https://brainly.com/question/17267403
#SPJ7
What is the measure of _Y, in degrees?
y
A. 116°
B. 32°
C. 640
D. Cannot be determined
Answer:
C. 116º
Step-by-step explanation:
Both sides are congruent, so the triangle is an isosceles triangle. So angle Z will have to be congruent to angle X. Add together the two angles, (32 + 32) and subtract the sum from 180º since all triangles add up to 180º.
32 + 32 = 64
180 - 64 = 116
The numbers of carrot muffins and walnut muffins sold at a cafeteria yesterday are represented below
Answer: 9%
Step-by-step explanation:
18 = 3(3x - 6)
Please answer with solving steps thanks!
Answer:
jayfeather friend me
Step-by-step explanation:
1
8
=
3
(
3
−
6
)
1
8
=
9
−
1
8
2
Add
1
8
18
18
to both sides of the equation
3
Simplify
4
Divide both sides of the equation by the same term
5
Simplify
Solution
=
4
What is m<1?
A.39
B. 47
C. 51
D. 129
Oops i accidentally deleted it, but the angle would be 39 degrees :)
Travis wants to build a small rectangular fence. He has enough material to build a fence that has a perimeter of 100 feet. Let x represent the length of the fence in feet.
Travis wants to use all of the available materials. What values of x will fence in an area of at least 600 square feet?
Answer:
x=250?
Step-by-step explanation:
you being vague bro
The US spends on average 1.2 x 10² dollars on each student per year. There are
about 7.7 x 107 students in the United States. About how much money is spent on
students each year?
how many terms are in the expression 12+9 divided 3-2
Answer:
4
Step-by-step explanation:
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 2(m∠Y) − 60°. Find m∠Y.
The value of m∠Y is
I NEED HELP!!! PLS
Answer:
m∠Y=50°
Step-by-step explanation:
So, we know that ∠S+∠Y=90 and that m∠S=2(m∠Y)-60.
If you plug those things into the equation, you get (2[m∠Y]-60)+m∠Y=90.
Then you multiply 2 and m∠Y: 2m∠Y-60+m∠Y=90.
Combine like terms: 3m∠Y-60=90.
Then you add 60 to both sides: 3m∠Y=150
Divide 3 on both sides: 3∠Y=50
-x+y = 5
x - 5y = -9
Solve by elimination
Y and x
Answer:
x = -4 and y = 1
Step-by-step explanation:
-x + y = 5
+ x - 5y = -9 <— let’s eliminate x
————————————-
-4y = -4
y = 1
x - 5y = -9 <— substitute for y
x - 5(1) = -9
x - 5 = -9
+5 = +5
x = -4
Solve and check -2x + 3 = -11
Answer:
x=7
Step-by-step explanation:
1. -2x+3=-11 << first make sure the x is one one side of the equal sign. so remove the 3, by subtracting if from 11
2. -2x+3=-11
-3 -3
=
3. -2x= -14 << then so isolate the x= divide -2 from -14 (two negatives divided equals a positive)
4. x=7
The diagram shows a vector of a circle centre O and radius 6 cm. Mn is a chord of the circle. Angle MON is 50degrees. Calculate the area of the shaded segment. Give your answer to three significant figures
Answer:
Area of the shaded region = 1.92 cm²
Step-by-step explanation:
Area of the shaded region = Area of sector OMN - Area of isosceles triangle OMN
Drop a perpendicular OP from vertex O to opposite side MN.
Perpendicular OP will bisect angle MON.
m∠MOP = 25°
By cosine ratio in triangle OPN,
cos(25°) = [tex]\frac{OP}{ON}[/tex]
OP = ON.cos(25°)
OP = 6cos(25°)
OP = 5.438 cm
By sine ratio of angle PON,
sin(25) = [tex]\frac{PN}{ON}[/tex]
PN = ON.sin(25)
= 6sin(25°)
= 2.536 cm
Since, MN = 2(PN)
MN = 5.071 cm
Area of ΔOMN = [tex]\frac{1}{2}(OP)(MN)[/tex]
= [tex]\frac{1}{2}(5.438)(5.071)[/tex]
= 13.788 cm²
Area of sector OMN = [tex]\frac{\theta}{360}(\pi r^{2})[/tex]
Here 'θ' is the angle subtended by the arc MN at the center.
Area of sector OMN = [tex]\frac{50}{360}(\pi )(6^{2})[/tex]
= 15.708 cm²
Area of the shaded region = 15.708 - 13.788
= 1.92
≈ 1.92 cm²
Answer:
Area of the shaded region = Area of sector OMN - Area of isosceles triangle OMN
Drop a perpendicular OP from vertex O to opposite side MN.
Perpendicular OP will bisect angle MON.
m∠MOP = 25°
By cosine ratio in triangle OPN,
cos(25°) = \frac{OP}{ON}ONOP
OP = ON.cos(25°)
OP = 6cos(25°)
OP = 5.438 cm
By sine ratio of angle PON,
sin(25) = \frac{PN}{ON}ONPN
PN = ON.sin(25)
= 6sin(25°)
= 2.536 cm
Since, MN = 2(PN)
MN = 5.071 cm
Area of ΔOMN = \frac{1}{2}(OP)(MN)21(OP)(MN)
= \frac{1}{2}(5.438)(5.071)21(5.438)(5.071)
= 13.788 cm²
Area of sector OMN = \frac{\theta}{360}(\pi r^{2})360θ(πr2)
Here 'θ' is the angle subtended by the arc MN at the center.
Area of sector OMN = \frac{50}{360}(\pi )(6^{2})36050(π)(62)
= 15.708 cm²
Area of the shaded region = 15.708 - 13.788
= 1.92
≈ 1.92 cm²
OMG PLEASE HELP!! DONT ANSWER IF YOU DONT KNOW ;-;
Which statement is true
-5.3 > 3.5
-2 > -2.6
- 7.09 < -7.10
40 liters increased by 25%
Answer:
%50 liters
Step-by-step explanation:
40 Increased By 25% Is 50.00
Si debes tomar 0.035 litros de agua por cada kg de peso al día, si pesaras 50 kg ¿Cuánta agua deberás beber en un día? ayuda porfavor
Answer:
Deberás beber 1.75 litros de agua en un día.
Step-by-step explanation:
De acuerdo a la información dada, puedes utilizar una regla de tres para encontrar la cantidad de agua que deberás beber en un día si pesas 50 kg dado que debes tomar 0.035 litros por cada kg:
1kg → 0.035 litros
50 kg → x
x=(50*0.035)/1=1.75 litros
De acuerdo a esto, la respuesta es que deberás beber 1.75 litros de agua en un día.
-4x + y = -3
-6x + 2y = -8
Answer:
y=3+4x
y=3x-4
Step-by-step explanation:
-4x+y=-3
Add 4x to both sides
y=4x-3
-6x+2y=-8
Add 6x to both sides
2y=6x-8
Divide by 2 on both sides
y=3x-4
What are the solutions of 16p^2 - 64 = 0
Answer:
p = 2 or p = -2
Step-by-step explanation:
Solve for p over the real numbers:
16 p^2 - 64 = 0
Hint: | Factor constant terms from the left hand side.
16 p^2 - 64 = 16 (p^2 - 4):
16 (p^2 - 4) = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 16:
p^2 - 4 = 0
Hint: | Using the quadratic formula, solve for p.
p = (0 ± sqrt(0^2 - 4 (-4)))/2 = ( ± sqrt(16))/2 = ( ± 4)/2 = ± 2:
Answer: |
| p = 2 or p = -2Solve for p over the real numbers:
16 p^2 - 64 = 0
Hint: | Factor constant terms from the left hand side.
16 p^2 - 64 = 16 (p^2 - 4):
16 (p^2 - 4) = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 16:
p^2 - 4 = 0
Hint: | Using the quadratic formula, solve for p.
p = (0 ± sqrt(0^2 - 4 (-4)))/2 = ( ± sqrt(16))/2 = ( ± 4)/2 = ± 2:
Answer: |
| p = 2 or p = -2Solve for p over the real numbers:
16 p^2 - 64 = 0
Hint: | Factor constant terms from the left hand side.
16 p^2 - 64 = 16 (p^2 - 4):
16 (p^2 - 4) = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 16:
p^2 - 4 = 0
Hint: | Using the quadratic formula, solve for p.
p = (0 ± sqrt(0^2 - 4 (-4)))/2 = ( ± sqrt(16))/2 = ( ± 4)/2 = ± 2:
Answer: |
| p = 2 or p = -2Solve for p over the real numbers:
16 p^2 - 64 = 0
Hint: | Factor constant terms from the left hand side.
16 p^2 - 64 = 16 (p^2 - 4):
16 (p^2 - 4) = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 16:
p^2 - 4 = 0
Hint: | Using the quadratic formula, solve for p.
p = (0 ± sqrt(0^2 - 4 (-4)))/2 = ( ± sqrt(16))/2 = ( ± 4)/2 = ± 2:
Answer: p = 2 or p = -2
In the adjoining figure, find the values of X and Y.
Answer:
x=5 cm,y=12 cm
Step-by-step explanation:
We are given that
RQ=3 m
PQ=4 cm
RP=x cm
RS=13 cm
SP=y cm
We know that Pythagoras theorem
[tex](Hypotenuse)^3=(base)^2+(perpendicular\;side)^2[/tex]
In right triangle RQP
Using Pythagoras theorem
[tex]RP^2=RQ^2+PQ^2[/tex]
Substitute the values
[tex]x^2=3^2+4^2[/tex]
[tex]x^2=9+16[/tex]
[tex]x^2=25[/tex]
[tex]x=\sqrt{25}=5[/tex]cm
Now,
In triangle RPS
[tex]RS^2=RP^2+SP^2[/tex]
[tex](13)^2=5^2+y^2[/tex]
[tex]169=25+y^2[/tex]
[tex]169-25=y^2[/tex]
[tex]144=y^2[/tex]
[tex]y=\sqrt{144}=12[/tex] cm
PLEASE HELP WILL MARK BRAINLIEST PLZ PLZ PLZ!!
Answer:
7. C 8. E 9. is x=12
Step-by-step explanation:
180 divided by3 equals 60
60-12 =48
48/4 =12
Please answeerrr :D Will give brainlyest
Answer:
Step-by-step explanation:
(3t + 4) + (4t + 3)
Part a
Remove parentheses
3t + 4 + 4t +3
Add
7t + 7
Part b
3t has the same variable ("t") as 4t. And 4 and 3 are both constants (or numbers). Thus, you can add the 3t and 4t together and add 3 and 4 together
Sheila has 28 stickers to divide evenly among 3 friends. She thinks there will be no leftovers. Use what you know about factor pairs to explain if Sheila is correct.
Answer:
She is wrong
Step-by-step explanation:
If our target number is 28 then we can create all of the following factor pairs for this number. These would be the following...
1, 2, 4, 7, 14 and 28
As we can see from the factor pairs there is no 3. This means that 3 would not divide evenly by 28 and cannot be multiplied by any whole number to create 28. Therefore, if you divide the 28 stickers by the 3 friends there will be some stickers leftover always.
what are all the expressions that are equal to 16x-12-24x+4
Answer:
-8x-8
Step-by-step explanation:
Answer:
The equation equal to 16x - 12 - 24x + 4 is -8x - 8
Step-by-step explanation:
16x - 12 - 24x + 4
= 16x - 24x - 12 + 4
= -8x - 8
Which factors composed the least common denominator of for this difference?
Answer:
-2x, (x+6), and (x-2)
I got this right on edmentum.
Step-by-step explanation:
I urgently need help!!!!!!
Answer:
Step-by-step explanation:
e
Answer:
Angle KMN is 79°
Hope this helps.
Jada bikes 2 miles in 12 minutes. Han swims 1 mile in 24 minutes.
Jada is moving (faster or slower?)
How many miles can Han Swim per hour?
How many miles can Jada Swim per hour?
Answer:
Jada is moving faster
Jade goes 10 miles in one hour
Han goes 2.5 miles in one hour
Step-by-step explanation:
Jada is 2miles/12 minutes=2(5) miles in 12(5) minutes
Jade goes 10 miles in 60 minutes (or one hour)
Han is 1 mile/24 minutes=1(2.5) miles in 24(2.5) minutes
Han goes 2.5 miles in 60 minutes (or one hour)
Jada is moving faster
PLz help it will help me so much :]
Answer:
No, not enough information
Step-by-step explanation:
The information given can't help you determine the measurement of the angle, it just tells you the position of the angle.
Which best represents the solution to this system of equations?
Answer:
a. (3,-2) that is the answer
, I already study this lesson
Hello! Good Afternoon!!!! Please help me with these two math questions!
Answer:
first 2/21 2nd 4/43
Step-by-step explanation:
Answer for 3:
$4467.25
Answer for 4:
None of them. Are there any other solutions?
A refrigerated truck leaves a rest stop traveling at a steady rate of 56 mi/h. A car leaves
same rest stop 1/4 hour later following the truck at a steady rate of 64 mi/h. How long after the truck leaves the rest stop will the car overtake the truck? Write an equation and solve
Answer:
Step-by-step explanation:
T=56t and C=64(t-.25)
64(t-.25)=56t
64t-16=56t
8t-16=0
8t=16
t=2 hours
un numero aumentado en 5
Answer: x + 5
Step-by-step explanation: