Answer:
x = 2 or x = 3
Step-by-step explanation:
x = 2 + sqrt(x - 2)
x - 2 = sqrt(x - 2) You could divide both sides by sqrt(x - 2)
sqrt(x - 2) = 1 Square both sides
x - 2 = 1 Add 2 to both sides
x = 3
There is a second way.
x - 2 = sqrt(x - 2) Square
x^2 - 4x + 4 = x - 2 Transfer x - 2 to the left
x^2 - 5x + 6 = 0 Factor
(x - 2)(x-3) = 0 Find the roots.
x - 2 = 0
x = 2
x - 3 = 0
x = 3
We have to check both results.
x = 2 + sqrt(x - 2)
2 = 2 + sqrt(2 -2)
2 = 2 + 0
2 = 2 This seems to work.
x = 2 + sqrt(x - 2)
3 = 2 + sqrt(3 - 2)
3 = 2 + sqrt(1)
3 = 2 + 1
3 = 3 And this works.
Write two expressions that are equivalent to 7 x 10 to the -4
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{7\times 10^{-4}}[/tex]
[tex]\rightarrow\mathsf{7\times\dfrac{1}{10\times10\times10\times10}}[/tex]
[tex]\mathsf{= \dfrac{7}{10\times10\times10\times10}}[/tex]
[tex]\mathsf{10\times10\times10\times10=100\times100=10,000=\bf 10^4}[/tex]
[tex]\mathsf{=\dfrac{7}{10^4}}[/tex]
[tex]\mathsf{=\dfrac{7}{10,000}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Possible ANSWERS: }\mathsf{\bf {\dfrac{7}{10^4}\ or \ \dfrac{7}{10,000}}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Anton is buying supplies for a charity event.
A pack of 50 paper cups costs £1.89.
A pack of 10 paper plates costs 49p.
Anton has £15 to spend.
Anton buys 250 paper cups and spends the rest on paper plates.
How many paper plates can he buy?
Someone please help me work out the answer to how it’s 110 paper plates.
I’ll award brainiest❤️❤️.
Answer:
110 paper plates
Step-by-step explanation:
Given values:
1 Pack of paper cups (50) = 1.89
1 pack of paper plates (10) = 0.49
Anton has 15.00 to spend
If Anton were to buy 250 paper cups, that would cost him 5 packs since each pack is 50 cups. 5 packs would cost him 1.89 x 5 or 9.45. He now has 5.55 left to spend on paper plates.
Each pack of paper plates is 0.49. To find how many packs he can buy with the remaining amount of money, divide the money buy the cost.
5.55/0.49 ≈ 11.32
Since you can't buy .32 packs, Anton can buy 11 packs, or 110 paper plates.
PLEASE HELP FOR BRAINLIEST! The sum of two numbers is 4 and the difference of their squares is 64. Find the two numbers.
10 and -6
.....................................................
help mee plz... i ' m in trouble
ans 2,3&4
Step-by-step explanation:
2) a= -3/8 and b= -5/3
a×b= b×a
-3 × -5 = -5 × -3
8. 3. 3. 8
15 = 15
24. 24
3)a=8/11 and b= -6/11
a×b=b×a
8 × -6 = -6 × 8
11. 11. 11. 11
-48 = -48
121. 121
4) a= -9/15 and b= -7/2
a×b=b×a
-9 × -7 = -7 × -9
15. 2. 2. 15
63 = 63 , let's divide both by 3
30. 30
21 = 21
10. 10
What is the solution to the system of equations graphed below?
a. (2,-3)
b. (-3,2)
c. (-2,3)
d. (3,-2
plz help i’m in a timed test
Please help I’m having a hard time :(
Answer:
i think you're right- you seem to have all numbers squared correctly, also every negative value squared becomes a positive number, which means that your answers are correct.. what is your issue?
Step-by-step explanation:
Factor the expression:
x2-1x-56
help me with this plesse
The triangle on the grid will be translated two units left.
On a coordinate plane, triangle A B C has points (negative 1, negative 1), (negative 1, negative 5), (0.5, negative 5).
Which shows the triangle when it is translated two units left?
On a coordinate plane, triangle A prime B prime C prime has points (1, negative 1), (1, negative 5), (2.5, negative 5).
On a coordinate plane, triangle A prime B prime C prime has points (negative 3, negative 1), (negative 3, negative 5), (negative 1.5, negative 5).
On a coordinate plane, triangle A prime B prime C prime has points (negative 1, 1), (negative 1, negative 3), (0.5, negative 3).
On a coordinate plane, triangle A prime B prime C prime has points (negative 1, negative 3), (negative 1, negative 7), (0.5, negative 7)
Given:
The vertices of a triangle are A(-1,-1), B(-1,-5), C(0.5,-5).
The figure is translated 2 units left.
To find:
The vertices and the diagram of the triangle after the given translation.
Solution:
if a figure is translated 2 units left, then
[tex](x,y)\to (x-2,y)[/tex]
Using the above rule, we get
[tex]A(-1,-1)\to A'(-1-2,-1)[/tex]
[tex]A(-1,-1)\to A'(-3,-1)[/tex]
Similarly,
[tex]B(-1,-5)\to B'(-1-2,-5)[/tex]
[tex]B(-1,-5)\to B'(-3,-5)[/tex]
And,
[tex]C(0.5, -5)\to C'(0.5-2,-5)[/tex]
[tex]C(0.5, -5)\to C'(-1.5,-5)[/tex]
So, the vertices of the triangle after the translation are A'(-3,-1), B'(-3,-5), C'(-1.5,-5).
Therefore, the correct option is B.
Answer:
B
Step-by-step explanation:
A bathtub in the shape of A rectangular prism is 20 meters long 10 meters wide and 2 meters deep how much water can the bathtub hold
Answer:
Topic : CIRCLE
1. Capture/ cut outs pictures that represents a Circle then paste it in a long band paper.
2. Make a reflection in CERA form
C-Content (min. 5sentence)
E- experience(min. 5 sen.)
R-reflection (min.5 sent.)
A- Application (min.5
Find the sum 1/2+1/4
Answer:
3/4
Step-by-step explanation:
Make a common denominator and multiply the many times the denominator had to get to the common denominator to the numerator.
I’m sorry for the spam questions but I need help
Answer:
x = 30
Step-by-step explanation:
2x + x = 90
3x = 90
x = 30
angle not necessarily drawn to scale
Answer:
pretty sure its 67
Step-by-step explanation:
straight line=180 and that one angle is a right angle
basically 90+23+x=180
x=67
After taking part in a competition, Seth received a silver medal with a diameter of 8 inches. What is the medal's circumference?
Use 3.14 for .
Answer: 25.12 inches
Step-by-step explanation:
C=2πr
8/2=4
2(3.14)(4)
2(12.56)
25.12
Answer:
25.12 inches
Step-by-step explanation:
So, the formula for circumference is πd (or πr² whichever you prefer. We already have the diameter, so we do π x d, which is π x 8 inches, which is equal to 25.12 inches.
This is correct only if you use π as 3.14 hope this helps :)
Michelle wants to buy a new phone. There are several stores that sell the phone she wants, and each store offers
a different discount. The information on each store's discount offer for the phone Michelle wants to buy is
summarized in the table.
Price
Discount
Store
Big Town Electronics
$120
10% off
Central Phones
$120
$10 off
Main Street Mobile
$160
30% off
Phone Forum
$125
$16 off
Wireless Inc.
$110
No discount
At which store would Michelle's total cost be the least after the discount?
А
Big Town Electronics
B
Wireless Inc.
с
Main Street Mobile
D
Phone Forum
Step-by-step explanation:
hey, hope it helps.. :))
Jacob runs 5 miles in 1 1/2 hours . Robert runs 3 miles in 45 minutes or 3/4 hour. Who runs faster
Answer:
Robert
Step-by-step explanation:
If Robert runs 3 miles in 45 minutes, by the end of 90minutes, Robert would have covered 6miles, while Jacob covered 5miles in 90 minutes, therefore, Robert ran faster than Jacob.
Find the radius of the button.
3 and 1/2 in
radius:
Answer:1.75
Step-by-step explanation:
formula= R= D/2
convert 3 1/2 into a decimal
3.5
do 3.5 divided by 2 (R= 3.5/2) = 1.75
so the Radius is 1.75 inches !! hope this helped :)
The radius of the button 3 and 1/2 in would be; 1.75
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
The formula= Radius= D/2
Now convert 3 and 1/2 into a decimal;
3.5
Now, 3.5 divided by 2 (R= 3.5/2)
= 1.75
Hence, the Radius is 1.75 inches .
Learn more about circle here;
brainly.com/question/12512221
#SPJ2
what equation passes through (6,3) and is parrallel to y=3x+5
Answer:
y=3x+25
Step-by-step explanation:
For the equation y=3x+5, the slope is 3. Since the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-13)=3(x--4)
y-13=3x+12
y=3x+25
Un conductor circula a 12 m/s. Acelera y pasa a circular a 20 m/s al cabo de 10 segundos. Calcula la aceleración del coche.
Answer:
Aceleracion = 0.8 m/s²
Step-by-step explanation:
Dados los siguientes datos;
Velocidad inicial = 12 m/s
Velocidad final = 20 m/s
Tiempo, t = 10 segundos
Para encontrar la aceleración;
Aceleración se puede definir como la tasa de cambio de la velocidad de un objeto con respecto al tiempo.
Esto simplemente significa que la aceleración viene dada por la resta de la velocidad inicial de la velocidad final a lo largo del tiempo.
Por lo tanto, si restamos la velocidad inicial de la velocidad final y la dividimos por el tiempo, podemos calcular la aceleración de un objeto. Matemáticamente, la aceleración viene dada por la fórmula;
[tex] Aceleracion = \frac{final \; velocidad - inicial \; velocidad}{tiempo}[/tex]
Sustituyendo en la fórmula, tenemos;
[tex] Aceleracion = \frac{20 - 12}{10}[/tex]
[tex] Aceleracion = \frac{8}{10}[/tex]
Aceleracion = 0.8 m/s²
Suppose you have two similar trapezoids with a scale factor of 4. If the angle measures of trapezoid ABCD are 70,110,110,70, what is the answer?
Answer: 140, 220, 220, 140
Step-by-step explanation:
All you have to do is double the numbers.
Drag each tile to the correct box. Not all tiles will be used. Given the Pythagorean theorem x^2+y^2 = r^2 where r is the distance from the origin to the point (x, y) place the steps in the correct order to derive the Pythagorean identity cos^2 (0) + sin^2 (0) =1
Answer:
i just got it right.
Step-by-step explanation:
Simplify the following expressions to have fewer terms 5x-3+4(4x-6)+2
Answer:
(21x-25)
Step-by-step explanation:
We need to find an equivalent expression for the following.
5x-3+4(4x-6)+2
We can solve it as follows:
5x-3+4(4x-6)+2 = 5x-3+16x-24+2
= 5x+16x-3-24+2
= 21x-25
So, the equivalent expression is equal to (21x-25).
A recipe calls for 1/3 of a cup of butter. If Matthew is making 1/4 of the recipe, how much butter should he use?
Answer:
1/12 a cup
Step-by-step explanation:
1/3*1/4=1/12
Answer:
1/12
Step-by-step explanation:
1/3*1/4=1/12
Convert 73.5% to a fraction in lowest terms.
Answer:
147/200
Step-by-step explanation:
Help help help! This is 40% of my grade and i am stuck.
FIND THE MEASURES OF THE INTERIOR ANGLES
Answer:
Angle A=68
Step-by-step explanation:
68+x+(x-24)=180
68+x+x-24=180
2x+44=180
2x=136
x=68
Which statement is true?
A. A number subtracted from itself is a natural number.
B. All rational numbers are integers.
C. All irrational numbers are real numbers. W
D. Every whole number is a natural number.
A number system is a system for the presentation of numbers into groups or categories
The true statement is the option;
C. All irrational numbers are real numbers
Reason:
The number system is composed of two types of numbers, which are;
Real numbers Imaginary numbersImaginary Numbers;
The imaginary numbers are the numbers that have the value √(-1), within them
Real Numbers:
There are two types of real numbers which are;
Rational numbers; Numbers that can be written in the form [tex]\dfrac{a}{b}[/tex], where a, and b, are integers
Irrational numbers; Numbers that cannot be expressed in the form [tex]\dfrac{a}{b}[/tex], such as π, √2, e
Therefore;
All irrational numbers are real numbers
Learn more here:
https://brainly.com/question/9842110
pls help asap will give brainliest
Answer:
148 feet squared
Step-by-step explanation:
Hope it's correct!<D
A = 2 (wl+hl+hw) = 2 x (4x6+5x6+5x4) = 148
What would be the absolute value of Point R shown on the number line?
Answer:
|-2| = 2
Step-by-step explanation:
What number could replace t below?
\dfrac{1}{3} = \dfrac{2}{t}
3
1
=
t
2
Answer:
If you go to this link it'll give you a whole explanation and walk how to get your answer:
https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-visualizing-equiv-frac/a/equivalent-fractions-common-denominator-review
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
April has 6 fruit bars.she cuts them into halves. how many 1/2 size bar pieces does she have
Answer:
12
Step-by-step explanation:
If you cut them into halves then there will be twice as many pieces.
so you do:
6 x 2
= 12