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 hurry. only answer if you know the answer. thank you! <3
Answer: 8/17
Step-by-step explanation:
sohcahtoa
Sin= Opposite/Hypotenuse
Cosine= Adjacent/Hypotenuse
Tan= Opposite/Adjacent
8 is the adjacent, 17 is the hypotenuse
PLEASE HELP LAST ONE
Answer:
H=22.5 in
The answer is A
Step-by-step explanation:
Sin(60)=h/26 where h is the height we are interested in
Multiply both side by 26
26*Sin(60) = H
H=22.5 in
the answer is A
Find each of the following angles and arcs formed in circle R. (PLEASE HELP!! WILL MARK BRAINLIEST!)
Answer:
m<RTV = 90°
m<TRU = 129°
m<TVU = 51°
m<TSU = 64.5°
mST = 101°
mSTU = 230°
Step-by-step explanation:
i just did it:)
The measure of each angles are; m<RTV = 90°, m<TRU = 129°, m<TVU = 51°, m<TSU = 64.5°, mST = 101° and mSTU = 230°.
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.
Since Angle RTV is formed by the segments RT - that is the radius of the circle, and TV, which is tangent to the circle at point T. The radius always forms a right angle with the tangent lines.
Hence, the measure of angle RTV is; 90°.
The measure of a central angle and the measure of the intercepted arc would be equal. Hence, the measure of angle TRU is 129°.
Since RTVU is a quadrilateral. We know that 3 of the interior angles' measures are 90°, 90°, and 129°. The measures of the interior angles of any quadrilateral add up to 360°, the measure of angle TVU is 51°.
Thus the measure of angle TSU is 64.5°.
Also the sum of all consecutive arcs in a circle is 360°,
We know that mTU = 129° and mUS = 130° then the measure of arc ST is 101°.
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A square has side lengths of 9, which of the following is a correct formula for finding the area of a square? Select all that apply. i will give u brainlist
what the other person said. 9^2
Can someone please help me with math, I really need help.
Answer:
1: 3 dimes & 8 nickles
2: 17 & 8
3: can't do 3, i'm sorry but you have to do it
4: y = 2x+2 y = -1/3x + 6
5: no bc the only part of the system that that point is on is the first equation, 2x-y=1.
have a nice day :)
Explain how to find the surface area of a rectangular prism.
Answer:
To find the surface area of a rectangular prism you must multiple the length and the width. You can choose the top and do 2(L*W) and one of the square sides 2(L*W) and the front 2(L*W) and add it all up.
2(L*W)+2(L*W)+2(L*W)= surface area
There is a 2 because there are two side of a rectangular that are the same. Since there are 6 sides on a rectangle. Only 3 pairs are similar.
Hope this helps :)
I need help asappp!!!!
Answer:
C. 3/5
Step-by-step explanation:
Rise / Run
Puzzle Three
You are starting a savings account for college. You put
$1,000 in as your starting balance. You can simple
interest at 10% every year. You also must pay 30%
income tax on the interest earned annually. Calculate
the interest, balance, tax paid, and the overall balance
of the account after taxes. To break the code determine
the accounts overall balance for year 5 after taxes after
been paid.
10% Overall 30% Tax Overall
Interest Balance
Balance
after taxes
Year 1
Year 2
Year 3
Year 4
Year 5
Answer:
I think its Balance.
Step-by-step explanation:
Find the x-intercept and
the y-intercept from the
following linear equation:
9x + 3y = 27
Answer:
x-intercept: (3,0)
y-intercept: (0,9)
Answer:
(3,0) (0,9)
Step-by-step explanation:
To find the x-intercept, y must equal 0
9x+3(0)=27 substitute
9x=27 divide
x=3 (3,0)
To find the y-intercept, x must equal 0
9(0)+3y=27 substitute
3y=27 divide
y=9 (0,9)
Which figure is a translation of figure 1?
Answer:
triangle 4.
Step-by-step explanation:
A translation only moves vertically or (and) horizontally our image.
This means that a translation does not change the size
A translation does not rotate the image.
Then a translation of triangle 1 needs to have the same size than triangle 1, and the same "direction" (in triangle 1 we can see that the hypotenuse is at the right side, then in the translated triangle we also should have the hypotenuse at the right side).
Then the only option that seems correct is triangle 4
Answer: Which figure is a translation of figure 1? figure 4
Step-by-step explanation: correct on edge 2021
Carmen has 75% less money than Anna. How much money does Carmen have if Anna has 256? With explanation pls
Answer: 64 25% of 256 is 64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
If Anna has 256, and Carmen has 75percent less, then you need to find 25percent. Which would be 64
HELP please will give brainiest!! No robots please,
Find the slope and the y-intercept of the graph of the linear equation.
Answer:
Slope is -4/5
Y-intercept is -2
Step-by-step explanation:
use equation y=mx+b
The table shows information about the type and number of sandwiches ordered by 80 customers. If 120 customers order a sandwich, how many would you expect to order a club?
Answer:
54
Step-by-step explanation:
80 Customers divide that by 2 =40
36÷2= 18
So if 120 Customers were to order then you would just add 18 to 36 and that would make it 54.
Basically just find how many clubs are bought in 40 customers then multiple it by 3
Click on the phrase (s) that describe a nonlinear function.Kathy is planning to move to a different state next month. She finds out that the truck rental cost $50 plus $1 per mile she travels.The rental company also provides 4 different sizes of moving boxes for purchase.The volume of each box doubles in size from the volume of the next smallest box. Lastly, she calculates the cost of staying 3 nights at a hotel if it cost $105 per night during the trip.
Answer:
The rental company also provides 4 different sizes of moving boxes for purchase.The volume of each box doubles in size from the volume of the next smallest box
Step-by-step explanation:
Linear functions those relation which produces a straight line graph while non - linear functios produces curves or other shapes asides a straight line. Non linear functios could be quadratic, Exponential or so on in nature.
Equation of a linear equation include :
y = a + bx OR
y = bx
First expression :
y = $50 + x ;
slope, b = 1 ; intercept, a = 50
Third expression :
y(x) = 105x
Second expression:
V(x) = V0 * e^2x
Second expression is exponential while the first and third is linear.
Gretta wrapped 15 presents every 20 hours. At that rate, how long, in hours, will it take to wrap 18 presents? label optional
Answer:
[tex]15 \: presents = 20 \: hours \\ 18 \: presents = ( \frac{18}{15} \times 20) \: hours \\ = 24 \: hours[/tex]
Time required to wrap 1 present
20/154/3hTkme to wrap 18 present
18(4/3)6(4)24hFind the GCF for the list.
−15x^3 , 6x^4
Answer:
the GCF is 3x^3
Step-by-step explanation:
Identifying the greatest common factor of an expression like this one involves finding the GCF of each term when the terms are placed side by side: the GCF of -15x^3 and 6x^4 is 3x^3, because 3 and x^3 are the largest factors of their type (constant, power of x) that will divide evenly into -15x^3 and 6x^4.
The end result is 3x^3(-5, 2x). Once again, the GCF is 3x^3.
what is the initial amount of the function f(x)=3x+22
Answer:
x=-22/3
Step-by-step explanation:
Can you please Solve this and please show you work.
-4x+1=21
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-4x + 1 = 21}[/tex]
[tex]\large\text{SUBTRACT 1 to BOTH SIDES}[/tex]
[tex]\large\textsf{-4x + 1 - 1 = 21 - 1}[/tex]
[tex]\large\text{CANCEL out: 1 - 1 because that gives you 0 }[/tex]
[tex]\large\text{KEEP: 21 - 1 because that helps solve for x}[/tex]
[tex]\large\text{21 - 1 = \bf 20}[/tex]
[tex]\large\text{New equation: \textsf{ -4x = 20}}[/tex]
[tex]\large\text{DIVIDE -4 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{-4x}{-4}=\dfrac{20}{-4}}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{\dfrac{-4}{-4}}\large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{20}{-4}}\large\text{ because it gives you the value of x}[/tex]
[tex]\mathsf{x = \dfrac{20}{-4}}[/tex]
[tex]\mathsf{\dfrac{20}{-4}= 20\div -4=\bf -5}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf x = -5}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Convert the following equation into
slope-intercept form.
x + y = -1
Answer:
y=-x-1
Step-by-step explanation:
Answer:
y = - x - 1
Step-by-step explanation:
move x over and it becomes negative
how do I find the value of H in: h + 4 1/2 = 7
Answer:
5/2 or 2 1/2, or 2.5
Step-by-step explanation:
We know that 4 1/2 is 4.5.
Take 4.5 to the other side.
h=2.5
By the way, can you follow me on Brainly?
Thanks!
Answer:
5/2, or 2 1/2
Step-by-step explanation:
To find the value of h you want to get h by itself, so you must subtract 4 1/2 from both sides of the equation. 4 1/2 can be rewritten as 9/2, but you must find a common denominator between 7 and 9/2. A common denominator can be 2, if 7 is changed into 14/2. The equation is now 14/2 - 9/2, which gives you 5/2 or 2 1/2.
Your parents purchased a used car for your 17th birthday, for $12,000. The car
depreciates in value by 14% each year. How much will your car be worth in 6 years?
Answer:
1,920 because when you figure out the percent of 1200 then you multiply it by 6 then subtract by 12000
You have a recipe that indicates to use 4 parts of flour for every 3 parts of sugar. You use 16 cups of flour. How much sugar do you need?
Answer:
9
Step-by-step explanation:
Tell me if you want me to explain in the comments
There are 12 cups of sugar.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
You have a recipe that indicates to use 4 parts of flour for every 3 parts of sugar.
Now,
Let the number of cups of sugar for 16 cups of flour = x
So, By definition of proportion we get;
⇒ 4 / 3 = 16 / x
Solve for x as;
⇒ 16 / x = 4 / 3
⇒ 16 × 3 / 4 = x
⇒ 4 × 3 = x
⇒ x = 12
Thus, There are 12 cups of sugar.
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 Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
Definetly Not
Step-by-step explanation:
The three angles of those 2 triangles are not equivalent, which makes them in congruent.
find the third quartile from the given data: 50,40,55,60,61,70,49
Step-by-step explanation:
Q3= [3(N+1)/4]th item
= [3(7+1)/4] th item
= 3×8/4 th item
= 6th items
= 61
Shana picked 18 apples, which was three-quarters of what Nancy picked. Let n be the number
of apples Nancy picked. Write an equation involving n and solve it to find the number of
apples that Nancy picked.
Answer:
Step-by-step explanation:
3/4n=18
n=24
I run a business. It costs £54,000 a year. Most of the money goes on paying wages. The ratio of wages to other costs is 2 : 1. How much do I spend on wages every year?
Answer:
2 × 54,000 ÷ (1+2)
£36,000
Step-by-step explanation:
Total cost of the business = £54,000
wages : other costs = 2 : 1
Total ratio = 2 + 1 = 3
How much do I spend on wages every year?
Amount spent on wages yearly = ratio of wages / total ratio × Total cost of the business
= 2 × 54,000 ÷ (1+2)
= 2/3 × £54,000
= £108,000/3
= £36,000
Amount spent on wages yearly = £36,000
Dexter ran 5 miles as part of his training. How many yards did he run?
Answer:
8800 yards
Step-by-step explanation:
The total number of yards ran by Dexter for his training is given by the equation A = 8800 yards
What is unit conversion?In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.
The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.
A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.
Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.
Given data ,
Let the total number of yards ran by Dexter be A
Now , the total number of miles ran by Dexter = 5 miles
where from the unit conversion ,
1 mile = 1760 yards
So , the total number of yards ran by Dexter for his training A = 5 x 1760
The total number of yards ran by Dexter for his training A = 8800 yards
Hence , the number of yards is 8800 yards
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Given the area of a trapezoid is 86 in’, and the height is 4 in. If one base is 18 in, determine the other base.
Answer:
25 = base
Step-by-step explanation:
I searched all of this on YT to try and help
so first we need to know the area of a Trapezoid
A = 1/2h(b + b)
86 = 1/2(18 + b)4
we dont know the base where going to put b
we also dont like fractions so where going to get rid of 2 by multiplying 2 by 2. And we do it in both ends, so where doing the same with our Area.
172 = (18 + b)4
the 4 is multipling so divide it on both ends.
43 = (18 + b)
then do the opposite operation on the 18, by subtracting 18 on both sides.
25 = b
is the base
check the work by plugging it back in
A = 1/2h(b + b)
A = 1/2 4(18+25)
A = 1/2 4(43)
A = 1/2(172)
A = 86in
Please answer the question provided in the image:
Answer:
D
Step-by-step explanation:
2x4=8/3 = 2 2/3
2x4 =8 8 divided by 3 = 2.2 = 2 2/3
2 x 4 =8 1/3 x 8 = 8/3 = 2 2/3
2 x 1/3 =2/3 4 x 1/3 =4/3 2/3+4/3= 6/3 = 2
Graph the equation.
y= - 2x + 4
a point on the y-axis at positive 4
for the rest of the points go right 1 down 2
and left 1 up 2
