Answer:
[tex]\{\sqrt b, -\sqrt b\}[/tex]
Step-by-step explanation:
Given
[tex]a^2 - b = 0[/tex]
Required
Determine the solution
Since b is a perfect square, the equation can be expressed as:
[tex]a^2 - (\sqrt b)^2 = 0[/tex]
Apply difference of two squares:
[tex](a - \sqrt b)(a + \sqrt b) = 0[/tex]
Split:
[tex](a - \sqrt b)= 0 \ or\ (a + \sqrt b) = 0[/tex]
Remove brackets:
[tex]a - \sqrt b= 0 \ or\ a + \sqrt b = 0[/tex]
Make a the subject in both equations
[tex]a =\sqrt b \ or\ a =-\sqrt b[/tex]
The solution can be represented as:
[tex]\{\sqrt b, -\sqrt b\}[/tex]
Please help What is the distance between points (5, 2) and(-3,-4) on the coordinate
plane? *
Answer:
10 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (5, 2) and (x₂, y₂ ) = (- 3, - 4)
d = [tex]\sqrt{(-3-5)^2+(-4-2)^2}[/tex]
= [tex]\sqrt{(-8)^2+(-6)^2}[/tex]
= [tex]\sqrt{64+36}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
Which is larger, a pound or a kilogram? Explain your reasoning.
Answer:
kg
Step-by-step explanation:
1pound is 0.45kg
Answer:
Both pound and kilogram are units of measurement of weight or mass. A pound is an imperial unit of mass or weight. ... A kilogram (kg) is stated to be 2.2 times heavier than a pound (represented as lbs). Thus, one kilo of mass is equal to 2.26lbs. Step-by-step explanation:
Melanie cuts a rectangle out of a piece of scrap paper as shown. She wants to calculate the angle measure of the piece that is left over. What is the measure in degrees?
Carla and Marci are having a competition to see who can learn finish typing their research first. Carla already has 2 pages finished and can type 2 pages per hour. Marci has just started typing and can type 3 pages per hour. After how many hours will Carla and Marci have typed the same amount?
Answer:
The answer is 2 hours, if that i wrong then put in 3 hours.
Step-by-step explanation:
You could juat write out a chart for every number, so 2+0, 4+3, 6+6, so two hours.
Answer:
After 2 hoursStep-by-step explanation:
Let the time is x.
Carla will type:
2x + 2Marci will type:
3xSince they will have typed the same number:
3x = 2x + 23x - 2x = 2x = 2 hoursplease help!
decide whether the line it represents is parallel to p, perpendicular to p, or neither or these.
1) y=-3x+10
2) y-5= -1/3(x+2)
3) y=1/3x
4) -3x+y=1
Answer:
is this the whole question
Step-by-step explanation:
Over 5 days, Kimberly sheared 300 sheep. How many would she be able to shear in 26 days?
What was her rate per day?
Answer:
Kim shears 1560 sheep in 26 days.
Her rate per day is 60.
Step-by-step explanation:
For 26 days:
[tex]\frac{5}{300} =\frac{26}{x} \\\\5x=7800\\x=1560[/tex]
For per day:
[tex]\frac{5}{300} =\frac{1}{x} \\\\5x=300\\x=60[/tex]
Write the number 6,800 in scientific notation.
Answer:
6.8*10^3
Step-by-step explanation:
Answer:
The answer is 6.8 × 103.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Ben loses 26% of this investment. He used to have 180 . How many does he have now?
Answer:
133.2
Step-by-step explanation:
26% * 180 = 46.8
180 - 46.8 = 133.2
Answer:
133.2
Step-by-step explanation:
Ben now has 74% of his investment left:
180 x .74 = 133.2
coefficient of 3+4x-7
Graph the system. Tell whether the system has one solution, no solution, or infinitely many solutions. y = –2x + 1 y = –2x – 3
Answer:
No solution.
Step-by-step explanation:
y = -2x + 1
y = -2x + 3
y can't be equal to two different values at once.
10.A recipe that Kyleigh is making requires 3 pounds of flour. If Kylegh wants to triple the recipe,
how many ounces of flour will be needed?
Answer:
kayleigh will need 9 pounds of flour
If a letter is randomly chosen, what is the probability of choosing the letter A?
Answer:
it depends on how many letters there are to choose from.
Answer:
if its out of the alphabet, the probability of choosing A is 1/26, or 3.85%
Step-by-step explanation:
There are 26 letters in the alphabet, and only one of them is A. So, a ratio for that could be 1/26. 1/26 as a percent is 3.85%. Hope this helps!
Or if you want to be really specific, 1/26 as a percent is 3.8462%.
Please help it's for my sister
these are all of the OC's i have made so fare what do you guys think
Answer:
Step-by-step explanation:
nice i like them
Complete the squares in order to write the equation of
the circle.
Then identify the coordinates of the center, and find the
radius.
x2 + y2 - 28% -10y + 220 = 0
Which temperature is warmer, -6 or -9
Answer:
-9 is warmer
Step-by-step explanation:
because the lower the number the colder it is and the higher it is then the hotter it is
7 Aiden volunteers on the weekend at the central ledbury as a school project to record how many people visit the library and where it go on Saturday 487 people went to the years between 446 people went to social issues 335 what do in literacy on Sunday the library thousand three hundred total visitors Basil Hayden have recorded on Saturday about how many people should be expected to go to social issues round your answer to the nearest whole number
Answer:
487?
Step-by-step explanation:
Select each option that represents a proportional between x and y.
(50 points)
If get all correct (Brainliest)
Answer:
I think that is A and C and F
Simplify: 6!*5!/4!*3!
5.5
600
55
60
Answer:
The answer to ur question is 600
Write down the first even multiple of 7
Answer:
14
Step-by-step explanation:
multiples are the list of number that can be multiplied by a certain number.
list the multiples
make a chart
1 × 7 = 7 (odd)
2 × 7 = 14 (even)
the first even multiple is 14 (2×7)
Nadia has £5 to buy pencils and rulers. Pencils are 8p each. Rulers are 30p each. She says “I will buy 15 pencils. Then I will buy as many rulers as possible. With my change, I will buy more pencils.” How many pencils and how many rulers does she buy?
Answer:
Total pencils: 17
Total rulers: 15
Step-by-step explanation:
"I will buy 15 pencils."
15 * 8p = £1.20
15 pencils
"Then I will buy as many rulers as possible."
£5 - £1.20 = £3.80
£3.80/30p = 12 remainder 20p
12 rulers
"With my change, I will buy more pencils.”
20p/8p = 2 remainder 4 p
2 pencils
Total pencils: 17
Total rulers: 15
The shapes below are mathematically similar.
8 cm
20 cm
12 cm
х
Calculate the length of side x.
Answer:
30cm
Step-by-step explanation:
Because of the polygon similarity postulate (PSP) 8/12=20/x
8/12=20/x
20/(8/12)=x
20*12/8=x
x=30 cm
The length of side x is 30 cm when the shapes below are mathematically similar.
To calculate the length of side x, we can use the concept of similarity between the shapes. When two shapes are mathematically similar, their corresponding sides are proportional.
8 cm corresponds to 20 cm
12 cm corresponds to x (unknown)
Using the concept of proportionality, we can set up the following equation:
(8 cm) / (20 cm) = (12 cm) / (x)
To find x, we can solve this equation:
Cross-multiplying:
8 cm * x = 20 cm * 12 cm
Simplifying:
8x = 240 cm²
Dividing both sides by 8 to isolate x:
x = 240 cm²/ 8
x = 30 cm
Therefore, the length of side x is 30 cm.
To know more about length click here:
https://brainly.com/question/28338905
#SPJ2
Please help !!!!!!!!!!!!!!
Ceci can drive 225 miles in 3 hours (Rate - 75)
How many hours does it take her to drive 1,125 miles?
Answer:
it'll take 15h for her to drive 1125 miles
Step-by-step explanation:
take 225 ÷ 3 then you get how many miles she drives in an hour which is 75
75 × 15 = 1,125
please help me with maths. it's a standard form topic
The diameter of a bacteria species A is 1 micrometre long while bacteria B is 1 x 10^-3 the size of bacteria species A.
a) What is the diameter of bacteria species B in metres?
b) Based on your answer in (a), is the value obtained less than, greater than or equal to 1 nanometre?
Answer:
Bacteria A has diameter size of 1 micrometer = 1 × 10⁻⁶ m
a) B is 1× 10⁻³ size of A:
1 × 10⁻⁶ * 1 × 10⁻³ = 1 × 10⁻⁹ mb) 1 nanometer = 1 × 10⁻⁹ m
And bacteria B diameter size is equal to 1 nanometerThe Australian government increased the number of marine sanctuaries. The protected area
now covers 1.2 million square miles of ocean. Express 1.2 million in scientific notation.
I NEED HELP ASAP!!!!
Answer:
c
Step-by-step explanation:
10x10x10x10x10x10=1000000x1.2=1200000
exercise equipment advertised at $2200 is sold on sale for $1950. What percentage discount is this
Answer: $2200 is sold on sale for $1950.
Step-by-step explanation:
please help. tap the photo to see the whole problem. thanks.
How to solve for shaded area
Answer:
(a) 12.96 ft²
(b) 21.5 in²
Step-by-step explanation:
(a) For the first diagram
Area of the shaded region (A) = Area of Tripezium- area of circle
A = [1/2(a+b)h]-[πr²]............... Equation 1
Where a and b are the parallel side of the tripezium respectively, h = height of the tripezium, r = radius of the circle.
From the diagram,
Given: a = 15 ft, b = 6 ft, h = 12 ft, r = h/2 = 12/2 = 6 ft.
Constant: π = 3.14
Substitute these values into equation 1
A = [12(15+6)/2]-(3.14×6²)
A = 126-113.04
A = 12.96 ft²
(b) For the second diagram,
Area of the shaded region (A') = Area of square- area of circle
A' = (L²)-(πr²)............. Equation 2
Where L = lenght of one side of the square, r = radius of the circle
From the diagram,
Given: L = 2r = (2×5) = 10 in, r = 5 in
Substitute these values into equation 2
A' = (10²)-(3.14×5²)
A' = 100-78.5
A = 21.5 in²
2+2=???
I'm having a lot of trouble solving this complex question and I'm not just giving away points trust me. will give brainiest have a nice day and remember you are valid
Answer:
4
Step-by-step explanation:
rllly