Answer:
[tex]a = \{1,4,9,16,25,36,49,64,81,100\}[/tex]
Step-by-step explanation:
Given
[tex]ax^2 - 64[/tex]
Required
Determine possible values of a
For the expression to be a difference of two squares, then a must be a perfect square between 1 and 100 (inclusive).
Let [tex]a = k^2[/tex] where [tex]k \ge 1[/tex]
When k = 1
[tex]a = 1^2 = 1[/tex]
k = 2
[tex]a = 2^2 = 4[/tex]
k=3
[tex]a = 3^2 = 9[/tex]
It goes on until k = 10
[tex]a = 10^2 = 100[/tex]
So, the possible values of a are:
[tex]a = \{1,4,9,16,25,36,49,64,81,100\}[/tex]
Please help
In Algebra, equations are math sentences that have an
value.
These unknown values are called
which stand for unknown
numbers that make the equation true.*
known, letters
unknown, variables
Answer:
I think variables is the answer
Is this a function?
Factoring.
The answer is supposed to look like this.
EXAMPLE:
5x(6x+2)(6x-2)
Answer:
3(5x+3)(5x-3)
Step-by-step explanation:
75x^2-27=3(25x^2-9)=3(5x+3)(5x-3)
HELP
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 25 of its size. What is the scale of the drawing for the new garden shown below?
A rectangle that is 8 inches long and four-fifths of an inch wide.
Answer:
1inch=5
Step-by-step explanation:
2/5*100/1=200/5
200/5=40
40/8=5
I don't remember how to solve this problem I missed yesterday when we learned it. 4(x-2+y)
Answer:
4x - 8 + 4y
Step-by-step explanation:
4(x - 2 + y)
4x - 8 + 4y
You multiply each term in the parenthesis by the number in front of it.
-) Select all ordered pairs that satisfy the function y = 5x + 3.
A.
(-3, -37)
B.
(-5, -22)
C.
(-8, -37)
D.
(-5, -12)
A farmer wants to fence a piece of his land. Two sides of the triangular field have lengths of 120 feet and 325 feet. The measure of the angle between those sides is 70 degrees. How much fencing will a farmer need?
Farmer need 750.5 feet fencing for his triangular field.
What is triangle?"Triangle is two dimensional geometrical shape with three sides and three vertices. Sum of all the angles of a triangle is equals to 180°.
Formula used
Cosine rule
As per the diagram,
cosθ = (b² +c² -a²) / 2bc
cos 70° = 0.3420
According to the question,
Let AB = c , AC = b are given sides of measure 120 feet and 325 feet respectively.
and BC = a
Angle between given sides be θ = 70°
Substitute the value in the formula we get,
cos70° = [ (325)² +(120)² - a²] / 2(120)(325)
⇒ 0.3420 = [ 120025 - a²] / 78000
⇒ 120025 -a² = 26676
⇒ a² = 93349
⇒ a = 305.5
Total fencing required for triangular field = AB + BC +CA
= 120 + 325 + 305.5
= 750.5 feet
Hence, farmer need 750.5 feet fencing for his triangular field.
Learn more about triangle here
https://brainly.com/question/2773823
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W(-1, 4), X(1, 2), Y-2, 1); k = 3
Answer:
what is the questionStep-by-step explanation:
get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is
What is the value of 3-(-2)?
Answer:
5
Step-by-step explanation:
does 9/20 and 18/30 form a proportion
Answer:
No, they don't.
Step-by-step explanation:
I'm going to divide 18 by 9 and 30 by 20. If the quotients are the same, then we do have a proportion.
18 ÷ 9 = 2
30 ÷ 20 = 1.5
The quotients aren't the same. Same thing if you convert the fractions to decimals:
9 ÷ 20 = 0.45
18 ÷ 30 = 0.6
This means the two values do NOT form a proportion.
Hope this helps! Have a great day!
Answer:
No.
Step-by-step explanation:
9/20=18/30
9*30=20*18
120=360
If you would like to know how this works please do not hesitate to ask.
its about nothing just say oi and u might get 50 points
Answer:
oi and you might get 50 points
Answer:
Thank you!
Step-by-step explanation:
You are making my day! BTW it is 25 points.
Mike has a 32 ounce drink. He drinks 8 ounces. Select the percent of ounces Mike has left from his drink
Answer:
75%
Step-by-step explanation:
the percentage amount of the drink that mike drank is calculated by dividing the total drink by the amount drank. In this case that is 8/32 which gives us 0.25 or 25%.
In order to find the amount Mike has left you simply subtract the amount drank from the 1 as 1 is equal to 100% or the amount mike had at the begining. In this case 1-0.15= 0.75 or 75%.
OR
you can also solve this by subtracting tha amount drank by the total then dividing the remaining drink by the total amount of the drink. In this case that would look like:
32-8= 24
24/32= 0.75
What is the greatest common factor of 35, 28, and 14?
Answer:
I believe 7 is the GTF (greatest common factor)
Answer:
7
Step-by-step explanation:
I need help with this
if y=3 then 14y equals
Answer:
42
Step-by-step explanation:
14(3)
Answer:
42
Step-by-step explanation:
first, substitute 3 for y in 14y. 14y means you are multiplying 14 and y, so when you plug in 3 for y, you're multiplying 14 and 3! :)
14y ⇒ 14(3)simplify by multiplying 14 · 3.
14(3) = 42so, when y = 3, 14y = 42.
you can check the answer by solving for y in 14y = 42.
divide both sides of the equation by 14.
14y/14 = 1y or y42/14 = 3after dividing, you're left with y = 3. that means 14y does indeed equal 42 when y = 3! :)
i hope this helps! have a great rest of your day <3
If you answer both questions properly I might give you the brainlies
Answer:
32
Step-by-step explanation:
Someone help this is due today and its worth half my grade!!
Answer:
I think it's 2
Step-by-step explanation:
25 divided by 5 = 5
10 divided by 5 = 2
19. Explain the difference
between (-12)2 and - 122.
Help!
Graph - 2x + 4y = 16 using
intercepts.
Answer:
y intercept is -1/2
Step-by-step explanation:
Step-by-step explanation:
here you go love use an app it tells you everything
Helppppp meeeee please
Answer:
0.61
Step-by-step explanation:
To raise a fraction to a power, rise the numerator and denominator to that power : 1/4 + 9/25
Add the fraction : 61/100
answer is 61/100 or 0.61
hope this helped ;)
SOMEONE HELPPP! Plss
Answer:
B. 1/6
Step-by-step explanation:
write the equation of the line
Answer:
y = (3/-2)x + 4.
Step-by-step explanation:
slope intercept form is y = mx + b
1. Lets first look for the y intercept (b). On the graph the line intercepts the y axis at 4. 4 is our b.
2. To find the slope (m) remember rise over run. Counting from lower dot, it goes up 3 and left 2. 3/-2. The two is negative because it is decreasing (towards the left of the graph).
3. Now plug the numbers into slope intercept form. y = (3/-2)x + 4.
Lexington and Louisville, KY are 75 miles apart. If the scale on the map is 1 cm = 5 mi, find the distance on the map between the two cities.
Answer:
15 cm
Step-by-step explanation:
75 miles / 5 miles = 15
15 * 1 centimeter = 15 cm
please help!!
select all expressions that are equal to 3•3•3•3•3
B and C are correct
Answer:
B and C
Step-by-step explanation:
3*3*3*3*3 is the same as 3 to the 5th power since there are 5 threes. And then if you put 3 to the 4th power multiplied by 3 into a calculator, you'll get the same answer.
Joe got all three of his sons braces for their teeth altogether he paid $3750 write an equation that could be used to find how much the braces were for each son individually.
Answer:1,250
Step-by-step explanation:
You have to do 3750 Divided by 3 and you get 1,250
Michelle has 18.9 yards of string. She cuts the string into 5 pieces of equal length.
How long is each piece?
Answer:
3.78 (see below)
Step-by-step explanation:
You would have to divide 18.9 by 5, as you're cutting 18.9 into 5 equal parts. Using long division, you can solve this. I have attached an image below for reference:
Answer:
3.78 yd
Step-by-step explanation:
took the test
1. The diameter equals
a. Radius square
b. three times the radius
c. twice the radius
d. half the radius
Answer:
C) twice the radius
Step-by-step explanation:
the radius is half the diameter
Help, =10pts
5,8,and9
Answer:
5. x = 8
8. x = 52
9. a) x/300 = 7/15
9. b) 140
Step-by-step explanation:
A circular running track is 1/2 mile long. Elena runs on this track completing each lap in 6 minutes how long will it take Elena to run 3 miles?
Answer:
36 mins
Step-by-step explanation:
0.5 miles/6 mins = 3 miles/x mins
In order to convert the ratio from 0.5 miles to 3 miles, 0.5 was multiplied by 6. Therefore, to keep the ratio the same, 6 minutes must also be multiplied by 6 to find x. This means the answer is:
3 miles/36 mins
Which pair of lines are perpendicular lines?
Answer:
A
Step-by-step explanation:
perpendicular lines have the same slope
