Answer:
a < -4
I apologise if it is wrong.
solve for the equation 4x+5=9
Answer:
1
Step-by-step explanation:
NEED HELP WORTH 100 POINTS SHOW YOUR WORK PLEASE
Answer:
Q1:
[tex]-5\sqrt{27c^2}[/tex]
[tex]-5\sqrt{27}\sqrt{c^2}[/tex]
[tex]-5\times\sqrt{9} \sqrt{3} \sqrt{c^2}[/tex]
[tex]-5\times3\sqrt{3}\sqrt{c^2}[/tex]
[tex]-5\times3\sqrt{3}c[/tex]
[tex]-15\sqrt{3}c[/tex]
Q2:
[tex]5\sqrt{72}-3\sqrt{32}[/tex]
[tex]5\sqrt{36} \sqrt{2} -3\sqrt{16} \sqrt{2}[/tex]
[tex]5\times6\sqrt{2}-3\times4\sqrt{2}[/tex]
[tex]30\sqrt{2}-12\sqrt{2}[/tex]
[tex]18\sqrt{2}[/tex]
Q3:
[tex]\sqrt{108yz}+3\sqrt{98yz}+2\sqrt{75yz}[/tex]
[tex]\sqrt{36} \sqrt{3} \sqrt{yz} +3\sqrt{49} \sqrt{2} \sqrt{yz} +2\sqrt{25} \sqrt{3} \sqrt{yz}[/tex]
[tex]6\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}+10\sqrt{3}\sqrt{yz}[/tex]
[tex]16\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}[/tex]
Q4:
[tex]\sqrt{15n^2}\sqrt{10n^3}[/tex]
[tex]\sqrt{15}n\sqrt{10n^3}[/tex]
[tex]\sqrt{15}n\sqrt{10}\sqrt{n^2}\sqrt{n}[/tex]
[tex]\sqrt{15}\sqrt{10}n^2\sqrt{n}[/tex]
[tex]\sqrt{5}\sqrt{3}\sqrt{5}\sqrt{2}n^2\sqrt{n}[/tex]
[tex]5\sqrt{3}\sqrt{2}n^2\sqrt{n}[/tex]
[tex]5\sqrt{6}n^2\sqrt{n}[/tex]
Q5:
[tex]\frac{\sqrt{3x^2y^3}}{4\sqrt{5xy^3}}[/tex]
[tex]\frac{\sqrt{3}xy\sqrt{y}}{4\sqrt{5}y\sqrt{x}\sqrt{y}}[/tex]
Cancel off [tex]\sqrt{x}[/tex]:
[tex]\frac{\sqrt{3}y\sqrt{x}\sqrt{y}}{4\sqrt{5}y\sqrt{y}}[/tex]
Cancel off [tex]y:[/tex]
[tex]\frac{\sqrt{3}\sqrt{x}\sqrt{y}}{4\sqrt{5}\sqrt{y}}[/tex]
Cancel off [tex]\sqrt{y} :[/tex]
[tex]\frac{\sqrt{3}\sqrt{x}}{4\sqrt{5}}[/tex]
Multiply [tex]\sqrt{5}[/tex] on the numerator and denominator:
[tex]\frac{\sqrt{3}\sqrt{x}\sqrt{5}}{4\sqrt{5}\sqrt{5}}[/tex]
[tex]\frac{\sqrt{15}\sqrt{x}}{20}[/tex]
sorry i pushed add answer
Write an expression to represent the perimeter of the triangle below in simplest form
Answer:
Perimeter of the given triangle = [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units
Step-by-step explanation:
Perimeter of a polygon = Sum of the measures of all sides of the polygon
From the picture attached,
Perimeter of the given isosceles triangle = Measures of two equal sides + remaining side
P = [tex]2(\frac{3}{x+8})+\frac{x}{x+5}[/tex]
= [tex]\frac{6}{(x+8)}+\frac{x}{(x+5)}[/tex]
= [tex]\frac{6(x+5)+(x+8)}{(x+8)(x+5)}[/tex]
= [tex]\frac{6x+30+x+8}{(x+8)(x+5)}[/tex]
= [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units
Therefore, perimeter of the given triangle is [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units
What is the value of x?
-7.5 (x-3)=3.75
Answer:
x= 2.5
Step-by-step explanation:
-7.5 (x-3) = 3.75
(divide both sides of the equation by -7.5)
x-3 = -0.5
(move the constant to the righthand side and change the sign)
x = -0.5+3
(calculate the sum)
x = 2.5
Find the measure of angle C of △ABC, if m∠A = α, m∠B = 2α its not 10-3a(will mark brainliest!)
Answer:
[tex]C = 180 - 3a[/tex]
Step-by-step explanation:
Given
[tex]A = a[/tex]
[tex]B = 2a[/tex]
Required
[tex]Find\ C[/tex]
Since, ABC is a triangle, we have:
[tex]A + B + C = 180[/tex]
Substitute values for A and C
[tex]a + 2a + C = 180[/tex]
[tex]3a + C = 180[/tex]
Subtract 3a from both sides
[tex]C = 180 - 3a[/tex]
Answer:
180°-3α
Step-by-step explanation:
If you forgot to put the degree sign on 180, that's why you got it wrong!
Whoever has the best answer I will mark the brainliest.
Answer: 3,4,5,6,52,72,86,105
Step-by-step explanation: when solving the range you find the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
3x+3y=180 what is the answer to this problem
Answer:
If you are solving the equation for x :
3x + 3y = 180
3x = -3y + 180
x = -y + 60 or x = 60 - y
If you are solving the equation for y:
3x + 3y = 180
3y = -3x + 180
y = -x + 60 or y = 60 - x
Evaluate 12 - 6+ (14 – 8)^2=
. (1 point)
Answer:
the answer is 42
Step-by-step explanation:
12-6+(14-8)^2
12-6(6)^2
12-6+36
=42
Frank needs to fill juice cups for his sis there r 35 cups amd it holds 12 fluid ounces. The juice came in a 1 gallon bottle how many 1 gallon bottles of juice will he need to purchase?
Answer:
4 gallons
Step-by-step explanation:
He needs 105 over 3 to fill all the cups. 1 gallon would be 10 and 2 third cups or 32 over 3. 2 gallons would be 21 and 1 third cups or 64 over 3. 3 gallons would be 32 or 96 over 3. 4 gallons would be 42 and 2 third cups or 128 over 3. So 4 gallons would fill up all 35 of his sisters 12 ounces cups. That would leave 7 and 2 third cups that hold the same amount. His sister gets all 35 of her 12 ounces each cups filled and he gets 7 and 2 thirds of new and unused 12 ounces cups. Basically out of the 4 gallons there would be 512 ounces and his sister with all 35 cups that hold 12 ounces each she would get 420 ounces. Which would leave him with 92 ounces of juice for himself. Hope this understandable and helpful.
Oceanside Bike Rental Shop charges 12 dollars plus 7 dollars an hour for renting a bike. Sandy paid 40
dollars to rent a bike. How many hours did she pay to have the bike checked out?
x = # of hours the bike was rented.
$40 = $12 + $7x
Subtract $12 from both sides.
$28 = $7x
Divide both sides by $7
4 = x
Sandy rented the bike for 4 hours.
Is 3x + 3x 2= 6x 3 ? Explain.
Answer:
No
Step-by-step explanation:
It is not, because we can only add the terms that contain x of the same order.
For x to be grouped with x 2 resulting in x 3 the terms would have to be multiplying
In this case they are grouped
x * x 2 = x 3
In this case they are not grouped
x + x 2 = x + x 2
3/4 + (-2 1/2) on a number line.. select the location on the number line to plot the sum.. HURRYYYYY
Answer:
the answer is -1 3/4
Step-by-step explanation:
10 - 3x < 16
Can y’all help me pls
Answer:
x>-2
Step-by-step explanation:
first you subtract 10 from both sides to find x
10-3x-10<16-10
-3x<6
now here you divide both sides by -3
-3x/-3<6/-3
BUT since you are dividing by a negative number the sign will have to flip
so the answer will be
x>-2
(-2)(7)(-75)(3)(-2)=?
Answer:
-6300
Step-by-step explanation:
I just plugged it into my calculator, Google's works just fine :)
HELP TIMED!
Piece Wise functions
Answer:
Last Option: (-∞, 4) U (4, ∞)
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that our x-values span all numbers except x = -4. Therefore, it is not included in our domain:
(-∞, 4) U (4, ∞)
Points A, B, and C are collinear. Point B is the midpoint of AC. AB=12x-398. BC=22.
Solve for x. *
Answer:
x = 35Step-by-step explanation:
Collinear points A, B, and C and point B being midpoint of AC means:
AB = BC
12x - 398 = 22
+ 398 + 398
12x = 420
÷12 ÷12
x = 35
is the inequality always, sometimes, or never true?
2(x + 6) < 30
Answer:
x< 9
Step-by-step explanation:
I'm not sure if it's right but I think it is .
-25 = 1/2 (10x - 2) + 3x what is x?
Answer:
x=[tex]-\frac{1+2i\sqrt{31} }{5}[/tex]
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
−25= [tex]\frac{1}{2}[/tex] (10x−2)+3x
−25=([tex]\frac{1}{2}[/tex])(10x)+( [tex]\frac{1}{2}[/tex] )(−2)+3x(Distribute)
−25=5x+−1+3x
−25=(5x+3x)+(−1)(Combine Like Terms)
−25=8x+−1
−25=8x−1
Step 2: Flip the equation.
8x−1=−25
Step 3: Add 1 to both sides.
8x−1+1=−25+1
8x=−24
Step 4: Divide both sides by 8.
8x ÷ 8 = −24 ÷ 8
Shivani started the week with $9,000 in her bank account. Then she spent $5,000 on an antique clock. Which integer represents the final balance of the bank account?
Answer:
4,000 is the integer representing the final balance of the bank account
Step-by-step explanation:
Here, we are told that Shiavni had a total of $9,000 in her bank account at the start of the week of which she spent $5,000 out of it on an antique clock.
Now, we want to know the integer that represents the amount which is the final balance of the bank account.
Mathematically, when we talk of an integer, we are simply referring to a whole number, be it negative or positive.
Thus, the integer is the case is the difference in what she had at the beginning of the week minus the cost of the clock
That would be; $9,000 -$5000 = $4,000
math 1 work it out please w-2+2w=6 + 5w
Answer:
w = -4
Step-by-step explanation:
w - 2 + 2w = 6 + 5w
Add 2 to both sides.
w + 2w = 8 + 5w
Subtract w from each side.
2w = 8 + 4w
Subtract 4w from each side.
-2w = 8
Divide.
w = -4
Please help me to prove this!!!
Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A + B = π - C
→ A + C = π - B
Use the Cofunction Identities: sin (π - A) = sin A
sin (A - π/2) = cos A
cos (π/2 - A) = - sin A
Use the Power Reducing Identity: sin ² A - sin² B = sin (A + B) · sin (A - B)
Use the Sum to Product Identity:
sin A - sin B = 2 [cos (A + B)/2] · [sin (A - B)/2]
Proof LHS → RHS:
LHS: sin² A - sin² B - sin² C
= (sin² A - sin² B) - sin² C
Power Reducing: sin (A + B) · sin (A - B) - sin² C
Given: sin (π - C) · sin (A - B) - sin² C
Cofunction: sin C · sin (A - B) - sin² C
Factor: sin C [sin (A - B) - sin C]
[tex]\text{Sum to Product:}\qquad \sin C\bigg[2\cos \bigg(\dfrac{(A-B)+C}{2}\bigg)\cdot \sin \bigg(\dfrac{(A-B)-C}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{(A+C)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(B+C)}{2}\bigg)\bigg][/tex]
[tex]\text{Given:}\qquad \qquad 2\sin C\bigg[\cos \bigg(\dfrac{(\pi - B)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(\pi - A)}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi -2B}{2}\bigg)\cdot \sin \bigg(\dfrac{2A-\pi}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi}{2} -B}\bigg)\cdot \sin \bigg(A-\dfrac{\pi}{2}\bigg)\bigg][/tex]
Cofunction: 2 sin C (-sin B) · (cos A)
= -2 sin C · sin B · cos A
= -2 cos A · sin B · sin C
LHS = RHS: -2 cos A · sin B · sin C = -2 cos A · sin B · sin C [tex]\checkmark[/tex]
4x+2y=8 what is the y intercept
The coordinates of point T are (0,4). The midpoint of ST is (1,-5). Find the coordinates of point S.
The other endpoint is
(Type an ordered pair.)
10. APPLICATION Inspector 47 at the Zap battery plant
keeps a record of which AA batteries she finds defective.
Although the battery numbers at right do not make an
exact sequence, she thinks they are close to an arithmetic
sequence
a. Write a recursive formula for an arithmetic sequence
that estimates which batteries are defective. Explain
your reasoning
b. Predict the numbers of the next five defective batteries.
c. How many batteries in 100,000 will be defective?
Defective
Batteries
255, 500, 773
998, 1227, 1510,
1721, 2010
Could someone help me out, I’m not sure how to do these :,)
Answer:
1.) Reflection over y=1
2.) Translation rule: (x-5, y-3)
3.) Reflection over the y axis
4.)Translation rule: (x-4, y+1)
Step-by-step explanation:
It is given that 1/5<n<1/4. Write down a decimal value of n that satisfies this in equality.
Pls help me!!! Will give brainliest.
Answer:
0.20<n<0.25
Step-by-step explanation:
0.20<n<0.25
HELP ME PLESE ,3 I NEED THIS
Answer:
270°
Step-by-step explanation:
[tex]m\widehat{BC} = 360\degree - (146\degree + 90\degree) \\
m\widehat{BC} = 360\degree -236\degree \\
m\widehat{BC} = 124\degree \\\\
m\widehat{ABC} =m\widehat {AB} + m\widehat {BC} \\
m\widehat{ABC} =146\degree + 124\degree \\
\huge \red {\boxed {m\widehat{ABC} =270\degree}} \\
[/tex]
2 x 10-6
times what number is equal to 6 x 10-4
Answer:
times -6
Explanation... 2 x 10-6 x -6=56
6 x 10-4=56
Hope this helps
The musical theme was first introduced by the
Answer:
entire orchestra I'm gonna say
What happens to the aciditiy of soulutuns A and B after dry ice is added
The pH of solution A decreases, and the pH of solution B decreases.