Answer:
(2x + 7yj)(2x - 7yj)
Step-by-step explanation:
Both 4x^2 and 49y^2 are perfect squares, and
4x^2 + 49y^2 is the sum of two squares.
There is a formula for factoring the difference of two squares:
a^2 - b^2 = (a - b)(a + b) (all real numbers here), but unless imaginary numbers are allowed, there's no formula for factoring the sum of two squares.
If imaginary numbers are allowed, then a^2 + b^2 factors into
(a + jb)(a - jb).
Following this pattern, 4x^2 + 49y^2 factors into (2x + 7yj)(2x - 7yj)
a^2 + b^2 = (a + b)(a
It's on the picture, could someone help me out?
Answer: separate because it would include more and you would save more
Step-by-step explanation:
first it is on sale second it would save you more money.
Answer:
the two packed because :
Step-by-step explanation:
first you need to find out the total of the two separated and for one it is £12.49 but for the second it is 50% off so 50% is a half so half of £12.49 is £6.25 so you now need to add them both together to find out how much two bottles cost separate which is £18.74. now you need to have a look see which costs less this is the two together in the pack so the answer is you would rather buy the two packed one because they are cheaper
Which of the following rectangular prisms will have a surface area of 24 square units? A rectangular prism with a length of 5, width of 3, and height of 1. A rectangular prism with a length of 2, width of 2, and height of 2. A rectangular prism with a length of 2, width of 1, and height of 2.
Answer:
ok the first one with the length , width , height of 5 , 3 , 1 has a surface area of 46
the second one with the length , width , height , of 2 , 2 , 2 has the surface area of 24
ok now i don't have to go any farther i found which one it is
the answer is the rectangular prism with the length of 2 the width of 2 and the height of 2
Step-by-step explanation:
Answer:
The orange one the L W H are all 2
Step-by-step explanation:
Find the area of this figure. Use 3.14 for pi. Wrote your answer as a decimal.
Answer:
854.865 square meters
Step-by-step explanation:
A=πr^2
Radius is half the diameter
33/2= 16.5
A=π * r^2 r^2 is r*r
A = 3.14 * 16.5 *16.5 = 854.865
What is the meaning of an adjacent interior angle?
Giving a lot of points help!
What is the value of x?
Answer:
Step-by-step explanation:
a triangle = 180
Q = 180 - (90 + 45)
Q = 180 - 135
Q = 45
Step-by-step explanation:
With reference angle 60°
perpendicular (p) = 2√3
hypotenuse (h) = ?
We know
sin 60° = p/h
√3/2 = 2√3 / h
cross multiply
h =( 2√3 * 2)/ √3
therefore h = 4
So
Now
with reference angle 45°
perpendicular (p) = x
base (b) = 4
Now
tan 45° = p/b
1 = x / 4
Therefore x = 4
Hope it will help you :)
The tour of the art museum started at 9:35 Ask Your Teacher It lasted for 1 hour 20 minutes. What time did the tour end?
9:55
10:35
10:45
10:55
Answer:10:55
Step-by-step explanation:
9:35+1 hour is 10:35, add 20 minutes and you get 10:55
i need help with this question on my hw
Answer:
A) 630 feet squared
Step-by-step explanation:
The annual health insurance premium for Ms.Everett is $12,304. Her employer pays 70% of the premium and deducts the remainder from her paycheck. Ms.Everett is paid monthly. what amount is deducted for Ms.Everett‘s paycheck for her health insurance premium?
Answer:
The amount deducted for Ms.Everett‘s paycheck for her health insurance premium is $307.6
Step-by-step explanation:
given information:
annual insurance = $12304
employer pay annually = 70%
first we calculate the annual insurance paid by the employer
employer paid annual insurance = 70% x $12304
= $8612.8
then, we calculate the insurance paid by Ms. Everett annually
Ms. Everett paid annual insurance = $12304 - $8612.8
= $3691.2
thus, amount is deducted for Ms.Everett‘s paycheck for her health insurance premium
Ms. Everett's paycheck deduct = $3691.2/12
= $307.6
Answer:
307.60
Step-by-step explanation:
Got it right on the test.
A bookshelf is 72 inches wide. If I plan to place books on the shelf that average ¾ inches in width, about how many books will fit on the shelf?
Number of books that can fit on the shelf = Width of bookshelf/ width of average book = 72 x [tex]\frac{4}{3}[/tex] = 96 books
I hope this answer helps! If you have any questions, feel free to ask.
Try it
Solve for x in this equation: a - b
= cx+d
Step 1: Subtract
from both sides of the equation.
Answer: cx
Step-by-step explanation:
Solve for xxx. Write the smaller solution first, and the larger solution second. x^2 + 9x + 18 = 0x 2 +9x+18=0x, squared, plus, 9, x, plus, 18, equals, 0 \text{smaller }x =smaller x=start text, s, m, a, l, l, e, r, space, end text, x, equals \text{larger } x =larger x=start text, l, a, r, g, e, r, space, end text, x, equals
To solve the quadratic equation x^2 + 9x + 18 = 0, you'll have to find values of x that satisfy this equation.
To find the roots of the quadratic equation, we use the formula x = [-b±sqrt(b^2 -4ac)]/2a, where a, b, c are the coefficients of the quadratic equation of the form: ax^2 + bx + c = 0.
In our equation, we have:
a = 1 (coefficient of x^2)
b = 9 (coefficient of x)
c = 18 (constant term)
Substituting these values in our formula, we get:
x = [-9±sqrt((9)^2 - 4*1*18)] / 2*1,
x = [-9±sqrt(81 - 72)] / 2,
x = [-9±sqrt(9)] / 2,
x = [-9±3] / 2.
From here, we get two solutions:
For the smaller solution, we have: x = [-9 - 3] / 2 = -6.
For the larger solution, we have: x = [-9 + 3] / 2 = -3.
So, the solutions to the equation x^2 + 9x + 18 = 0 are x = -6 (for the smaller solution), and x = -3 (for the larger solution).
How is a credit union different from a retail bank?
A. Acredit union is a nondepository institution; a retail bank takes
customer's deposits.
B. A credit union and a retail bank are the same thing; there is no
difference between them.
C. A retail bank is "membership only", a credit union deals with the
general public
D. A credit union is a nonprofit entity; a commercial bank is a for-
profit entity
Answer:
The answer is (D.) A credit union is a nonprofit entity; a commercial bank is a for-profit entity.
Step-by-step explanation:
While Credit unions are not-for-profit organizations that exist to serve their members Retail banks are for-profit organizations that exist to serve the general public. Just like retail banks, credit unions accept deposits, make loans and provide a wide array of other financial services, but mainly from registered members.. But as member-owned and cooperative institutions, credit unions provide a safe haven to members only to save and borrow at reasonable rates.
Answer:
A. A credit union is a non-depository institution; a retail bank takes customer deposits.
Which triangle defined by the given points on the coordinate plane is similar to the triangle illustrated?
Answer:
The correct option in the attached image is:
D. (-1, 1), (-1, 5), (-7, 1)
Step-by-step explanation:
Please refer to the attached image.
The length of the horizontal segment of the graphed triangle is 3. The length of the vertical segment of the triangle graphed is 2. We will use the Pythagorean theorem to find the length of the missing side thus:
x² = 2²+3²
x² = 4+9
x² = 13
x = √13 or 3.6
This makes our side lengths 2, 3, and 3.6
For option A, our vertices are (-1, 1), (-1, 4), (-6, 1). This means the length of the horizontal segment 5 and the length of the vertical segment 3. This missing side length is calculated thus:
x² = 5²+3²
x² = 25+9
x² = 34
x = √34 or 5.83
This is not proportional to the triangle drawn, so it is not similar.
For option B, our vertices are (-1, 1), (-1, 5), and (-6, 1). This makes the horizontal segment 5 units long and the vertical segment 4 units long. This makes the missing side length
x² = 4²+5²
x² = 16+25
x² = 41
x = √41 or 6.4
These are not proportional to the triangle drawn, so the triangles are not similar.
For option C, our vertices are (-1, 1), (-1, 4) and (-7, 1). This makes the length of the horizontal segment 6 and the length of the vertical segment 3. This makes the missing side length
x² = 3²+6²
x² = 9+36
x² = 45
x = √45 or 3√5 or 6.7
These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.
For option D, our vertices are (-1, 1), (-1, 5) and (-7, 1). This makes the length of the horizontal segment 6 and the length of the vertical segment 4. This makes the missing side length
x² = 6²+4²
x² = 36+16
x² = 52
x = √52 or 2√13 or 7.21
These sides are all twice as long as the sides of the triangle drawn, this indicates that the triangles are similar. Therefore our answer is D.
Which reasons did you include in your response? Check all that apply.
The reasons I include in my response are;
Meeting strong customer demandKeeping prices lowAvoiding unnecessary featuresWhat is the justification?
Fulfilling strong consumer demand in terms of Super-Phonic feels that there is a strong demand for its particular products and services among its target market.
The company believes it is superior to its rivals at offering this kind of phone and service at a fair price, therefore keeping pricing low helps.Super-Phonic feels that incorporating smartphone functions into its phones will increase their cost and decrease their dependability, so they avoid adding needless features.
Sample response: Super-Phonic believes that demand among its target customers is strong for its specific products and services. The company thinks it is better than its competitors at providing this type of phone and service at a reasonable rate. Finally, Super-Phonic believes that adding smartphone features to its phones would make them more expensive and less reliable.
Based on what you have read, provide three reasons why Super-Phonic decided to make a specific type of phone in a specific way.
Which reasons did you include in your response? Check all that apply.
providing reliable service
keeping prices low
making durable phones
avoiding unnecessary features
meeting strong customer demand
Adam Stewart
Monthly Income Statement
May 2016
Adam has recently obtained a loan with a monthly
minimum payment of $30 dollars.
How will Adam's net income change with the added
expense?
Income (after Taxes)
Total Income
$3100
What will be Adam's total expenses now?
Wages
$3,100
Expenses
What will be Adam's new net income?
$70
Food
Rent
Transportation
$150 Clothing
$850 Medical insurance
$110 Car insurance
$90
$40
Total expenses:
$1,310
Net income (income - expenses):
$1,790
Answer:
How will Adam’s income change with the added expense?: it will decrease
Total expenses: $1,340
New net income:$1,760
Step-by-step explanation:
Answer:
it will decrease
Total expenses: $1,340
New net income:$1,760
A security camera is set to record the activities in a 115 degrees sector of a parking lot as represented by the shaded region of the circle below. Which measurements is closet to the area of The parking lot recorders by this security camera?
Answer:35 degrees i think
Step-by-step explanation:
The area covered by security camera is 5642.18 square feet.
What is Area of sector?The region inside the portion of the circle formed by two radii and an arc is known as the area of a sector. It only covers a small portion of the entire circle's surface.
Area of sector = [tex]\theta[/tex] / 360 πR²
Given:
R= 150 /2 = 75 feet
Now, Area of sector = [tex]\theta[/tex] / 360 πR²
= 115 / 360 x 3.14 x 75 x 75
= 135412.5/24
= 5642.18 square feet
Hence, the area covered by security camera is 5642.18 square feet.
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The graphed line shown below is y = negative 2 x minus 8.
On a coordinate plane, a line goes through (negative 4, 0) and (negative 2, negative 4).
Which equation, when graphed with the given equation, will form a system that has infinitely many solutions? y = negative 2 x minus 8.
y = negative (2 x + 8)
y = negative 2 (x minus 8)
y = negative 2 (x minus 4)
y = negative (negative 2 x + 8)
Answer:
A
Step-by-step explanation:
Our given equation is: y = -2x - 8
In order to have an equation with infinitely many solutions, it needs to be the same as the given equation.
Look at the answer choices:
A) y = -(2x + 8) = -2x - 8
This is the exact same equation, which means that any solutions for the given will also be solutions for this one. That means there will be infinitely many solutions.
B) y = -2(x - 8) = -2x + 16
We can tell this is definitely not the same as the given, so eliminate.
C) y = -2(x - 4) = -2x + 8
Again, this has a +8 instead of -8, so it's not the same and wrong.
D) y = -(-2x + 8) = 2x - 8
Here, we have positive 2 as the slope instead of -2, so it's not the same and wrong.
Thus, the answer is A.
Hope this helps!
The question is wich of the 4 formulas is equivalent to
y = -2x-8
only the first option is equivalent / basically the same and would therefore give out infinite intersections/solutions
Solve for x. 3/x-1 - 1/x^-1=5/x-1
Please show all work
3/(x-1) - 1/(x^2-1) = 5/(x-1)
Subtract 3/(x-1) from both sides
-1/(x^2-1) = 2/(x-1)
Factor x^2 - 1
-1/[(x-1)(x+1] = 2/(x-1)
Multiply by (x-1)(x+1) on both sides
-1 = 2 (x+1)
-1 = 2x + 2
Subtract 2 from both sides
-3 = 2x
Divide by 2 on both sides
-3/2 = x
Answer:
x = -3/2
Step-by-step explanation:
[tex]\frac{3(x+1)}{(x-1)(x+1)} - \frac{1}{(x-1)(x+1)} = \frac{5(x+1)}{(x-1)(x+1)} \\[/tex] Find the common denominator
3(x+1) - 1 = 5(x+1) Distribute
3x + 3 -1 = 5x +5 Combine Like terms
3x + 2 = 5x + 5 Solve for x
2 = 2x +5
-3 = 2x
x = -3/2
PLEASE ANSWER ASAP. What is the diagonal length of a photo frame with dimensions that are 24 cm x 7 cm?
A. 19 cm
B. 25 cm
C. 28 cm
D. 32 cm
Answer:
B
Step-by-step explanation:
The diagonal will become the hypotenuse of a right triangle, with the legs being 24 and 7.
Since it is a right triangle, we can use Pythagorean theorem
a^2+b^2=c^2
We know the legs: a and b, are 24 and 7, so we can substitute them in
24^2+7^2=c^2
Solve the exponents
576+49=c^2
Add
625=c^2
Take the square root of both sides
[tex]\sqrt{625}[/tex]=[tex]\sqrt{c^{2} }[/tex]
c=25
So, the diagonal will be 25 cm, or choice B
Answer:
25cm or b
Step-by-step explanation:
Absolute 10.7 of percent 11
Answer: = 11.88
This is a 3 step / 4 show workings.
10.7 + Percentage increase = 11%
10.7 + (11% × 10.7) = 10.7 + 11% × 10.7
(1 + 11%) × 10.7 = (100% + 11%) × 10.7
111% × 10.7 = 111 ÷ 100 × 10.7
111 × 10.7 ÷ 100 = 1,187.7 ÷ 100
11.877 ≈ 11.88
The nth term of a sequence is 8 - n. a)work out the first three terms of the sequence b) work out the value of the first negative term of the sequence
Answer:
see explanation
Step-by-step explanation:
To calculate the first 3 terms substitute n = 1, 2, 3 into the n th term formula
(a)
8 - 1 = 7
8 - 2 = 6
8 - 3 = 5
The first 3 terms are 7, 6, 5
(b)
The first negative term wii occur when n > 8, that is n = 9, thus
8 - 9 = - 1 ← first negative term
The first three terms of the sequence defined by 8 - n are 7, 6, and 5. The first negative term is when n equals 9.
Explanation:The nth term of a sequence is defined by 8 - n. This means that you subtract the term number (n) from 8 to get the value of the term.
To work out the first three terms of the sequence, substitute n = 1, 2, and 3 into the nth term. So, the first term is 8 - 1 = 7, the second term is 8 - 2 = 6, and the third term is 8 - 3 = 5.To find the first negative term of the sequence, you need to determine the value of n when 8 - n becomes less than 0. If you set 8 - n to be less than 0 and solve for n, you will find that n > 8. Therefore, the first negative term occurs when n = 9 (since n must be an integer, the number immediately greater than 8 is 9).Learn more about Sequence Terms here:https://brainly.com/question/35448108
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−7x+y =−19 −2x+3y =−19
3. Assume lines that look tangent are tangent. Find the length of the line
segment indicated by the ?
Answer:
20
Step-by-step explanation:
The point of contact of the tangent and the diameter of the circle is a right angle.
Thus the triangle with legs 12 and 2 × 8 = 16 is right
Using Pythagoras' identity.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
?² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )
? = [tex]\sqrt{400}[/tex] = 20
Final answer:
The question deals with mathematics, specifically the slope of tangent lines, use of the Pythagorean theorem, and solving scale ratios and proportions. Students need to find specific lengths using provided endpoints, hypotenuse calculations, and scale conversions.
Explanation:
The student appears to be asking about finding the length of a line segment in a geometric context, possibly related to tangents to curves and the Pythagorean theorem. The student is likely working with a diagram or curve not provided here, so it is important to make use of available data points or diagrams in the course material. Furthermore, when working with scales and ratios for determining lengths, the process involves setting up a proportion, solving for the unknown value by cross-multiplying and dividing.
For the slope of the tangent line to a curve:
Identify the endpoints of the tangent line that corresponds to given positions and times.
Find the slope of the tangent line, denoted as 'v', by using the change in position over the change in time.
For the Pythagorean theorem:
Calculate the length of the hypotenuse as the square root of the sum of the squares of the other two sides.
Use significant figures appropriately to represent the precision of your result.
For solving ratios and proportions:
Set up the proportion based on given scale lengths and distances.
Solve for the unknown by cross-multiplying and dividing.
What is the factored form of the polynomial?
x2 – 16x + 48
Answer:
(x-12)(x-4)
Step-by-step explanation:
x^2 – 16x + 48---> your goal: a^2 - 2ab+ b^2 ,(a-b)^2
[x^2 - 2(8)x+48+16]-16
[x^2-2(8)x+64]-16
[(x-8)^2]-4^2 ---> a^2 - b^2 : (a-b)(a+b)
(x-8-4)(x-8+2)
(x-12)(x-4) ----> always check back work after have done
Check x^2-4x-12x+48
x^2-16x+48 equal the given
Answer:
(x-12)(x-4)
Step-by-step explanation:
A 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid 200 times. Find the experimental probability of rolling a number greater than 10.
The experimental probability of rolling a number greater than 10 is [tex]17 \div 100[/tex]
The calculation is as follows;The total no of times rolling = 200
The probability of rolling 11 = 16 times
And, The probability of rolling 12 = 18 times
So, the probability is
[tex]= (16 + 18) \div 200\\\\= 17 \div 100[/tex]
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1. What is the probability of rolling a number less
than 3 or a six on a standard 6-sided die?
a. 1/6
b. 1/3
c. 1/2
d. 1
e. 3
I'm giving 20 points if you answer correctly
Answer:
1/2
Step-by-step explanation:
There are 2 numbers less than 3. (1 and 2) and one 6 on a dice. Therefore there is a 3 out of 6 chance of rolling one of these 3 numbers (1, 2, and 6). This can be represented as 3/6 which would simplify to 1/2 or 50%.
It can also be found this way...
Probability = Number of desired outcomes ÷ number of possible outcomes. Therefore 3 ÷ 6 = 0.5 which is equal to 50% or 1/2.
I hope you choose my answer so you do well on your assignment! I've gotten an A in math every year :)
Answer:
1/2
Step-by-step explanation:
Which expression is equivalent to the following expression? 3(2x + 3)
5x + 6
6x + 6
6x + 9
5x + 9
Answer:
6x + 9
Step-by-step explanation:
distribute the 3 so then you get 3(2x) which equals 6x and 3(3) which equal 9 so
6x+9
6× + 9
Multiply each term in the parentheses by 3.
Find x help me pls I will mark brainiest to first person to answer
Answer:
39.25 units squared
Step-by-step explanation:
Look at the attached picture⤴
Hope it will help u....:)
Answer with step. Thanks
Aubree is trying to understand why a student would pick computer technology as a college major. 64% of the sample she surveyed said that they picked computer technology because of the vast employment opportunities. Her survey comes from 1200 students in 30 different colleges across the nation. Can we infer a parameter from this information? What would it be?
A) No; 64% is not enough to create an inference.
B) Yes; the parameter is 30 of the colleges, so we can infer the same.
C) No; there are no statistics in this scenario.
D) Yes; the statistic is 1200, so we can infer that 1200 students are computer technology majors.
E) Yes; the statistic is 64% of computer technology majors choose the major because of the employment opportunities. We can infer that the parameter is the same.
Answer:
E. Yes; the statistic is 64% of computer technology majors choose the major because of the employment opportunities. We can infer that the parameter is the same.
if i can have brainliest that would be great