(5x+1)(5x-1) what is the answer
Answers
[tex]\\ \rm\Rrightarrow (5x+1)(5x-1)[/tex]
[tex]\\ \rm\Rrightarrow (5x)^2-(1)^2[/tex]
[tex]\\ \rm\Rrightarrow 25x^2-1[/tex]
Answer: 25x²-1
i have attached a graph of it if you need it :)
Related Questions
express 61 as a the sum of four or less square numbers
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as that’s 36 + 25 = 61
Can you help me find the value of x and y for both
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Answer:
For the First Question:
x = 61
y = 61
For the Second Question:
x = 12
y = 7
Step-by-step explanation:
Second question:
96 = 11y + 19
11y = 77
y = 7
96 = 8x
x = 12
the length of a photograph is 11.4 inches if the photo is enlarged so that its length is increased by 2.25 inches what the new length
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We know
[tex] \\ \sf \longmapsto \: new \: length = length + increased \: length \\ \\ \sf \longmapsto \: new \: length = 11.4 + 2.25 \\ \\ \sf \longmapsto \: new \: length = 13.65in[/tex]
Eight years ago, the daughters age was thrice the son's age. Now the daughter's age is 4 years more than the son's age. Find their present ages.
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Answer:
Let s be the son’s current age and d be the daughter’s current age. The system of equations is:
s - 10 = 2(d - 10)
s = 3 + d
Since s is already set to an equation, we can use the substitution method for s in the other equation:
s = 3 + d
s - 10 = 2(d - 10)
3 + d - 10 = 2(d - 10)
Simplify and solve for d:
3 + d - 10 = 2(d - 10)
-7 + d = 2d - 20
-7 = d - 20
13 = d
The daughter is 13 years old. To solve for the son’s age, we will plug in the solution for d into one of the equations. The second one is simpler so we will use that:
s = 3 + d
s = 3 + 13
s = 16
The son is 16 years old. Let us use the other equation to check our solutions:
s - 10 = 2(d - 10)
16 - 10 = 2(13 - 10)
6 = 2(3)
6 = 6
It checks out. The son is 16 years old, and the daughter is 13 years old.
The present age of the daughter and son are 14 and 10 years respectively.
Let the age of the daughter be x
Let the age of the son be y
If the daughter's age is 4 years more than the son's age now, then,
x = y + 4 ............. 1
If Eight years ago, the daughters' age was thrice the son's age, then;
Daughter = x - 8
Son = y - 8
Hence, x - 8 =3(y - 8).................. 2
Substitute equation 1 into 2 to have:
x - 8 =3(y - 8).
y + 4 - 8 = 3(y - 8)
y - 4 = 3y - 24
y - 3y = -20
-2y = -20
y = 10
Recall that x = y + 4
x = 10 + 4
x = 14
Hence the present age of the daughter and son are 14 and 10 years respectively.
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I only need the answer
Answers
Answer:
1
Step-by-step explanation:
The given equation of the function is y = -a·(x - h)² + 1
The positive constants of the equation = a, and h
The points the function crosses the x-axis = 2, and 4
Where the function crosses the x-axis, y = 0, and x = 2, and 4, therefore, when x = 2, we have;
y = 0 = -a·(2 - h)² + 1
When x = 4, we have;
0 = -a·(4 - h)² + 1
-a·(2 - h)² + 1 = -a·(4 - h)² + 1
-a·(2 - h)² = -a·(4 - h)²
(2 - h)² = (4 - h)²
±(2 - h) = +#±(4 - h)
When
(2 - h) is negative, and (4 - h) is positive, but the same magnitude, we have';
-(2 - h) = +(4 - h)
2·h = 4 + 2 = 6
h = 3
0 = -a·(4 - h)² + 1 = -a·(4 - 3)² + 1 = -a + 1
Therefore, a = 1
PLEASE HELP ASAP 30 POINTS
Answers
Answer:
I don't know how to do please let me I will try solve the question
. Solve by factoring: x3 – 22 – 72x = 0
Answers
If you need the step by step let me know.
write an equation of the line that passes through the point (-8,3) with slope 6
Answers
Answer:
y = 6x+51
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 6x+b
Substitute the point into the equation and solve for b
3 = 6(-8)+b
3 = -48+b
3+48 = b
51 = b
y = 6x+51
[ INDICES]- Simplify :
1. [tex] \large{ \tt{\frac{ {13}^{ \: 2x + 1} - 5 \times {169}^{x} }{9 \times {169}^{x} } }}[/tex] [ Ans : 2 ]
2. [tex] \large{ \tt{ \frac{ {9}^{ \: n + 2} + 10 \times {9}^{n} }{ {9}^{n + 1} \times 11 - 8 \times {9}^{n} }}}[/tex] [ Ans : 1 ]
- Please show your workings! :)
Answers
Step-by-step explanation:
Hey there!
Please see attached picture for your answer!
Hope it helps!
Answer is in the attachment.
note:
make a slight change in question 1;
The points of tangency are:
Answers
Answer: y and x
Step-by-step explanation:
find the sum of (x²+3xy+y²)+(x³+3x²y+2xy²+y³)
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3
+
3
x
2
y
+
2
x
y
2
+
y
3
+
x
2
+
3
x
y
+
y
2
Find XZ given the mid-segment?
Answers
Answer:
16
having a hunch ig
CINDY BOUGHT A 12.3 POUND TURKEY AND AN 11.7 POUND HAM FOR HOLIDAY DINNER AND PAID $34.68. Her friend Samantha bought a 10.7 pound turkey and 9.5 pound ham for $29.05. What is the cost per pound of turkey and the cot per pound of ham
Answers
Answer:
Cost of Turkey per pound is $ 1.25 and Ham is $ 1.65.
Step-by-step explanation:
Cindy:
cost of 12.3 pound Turkey and 11.7 pound Ham = $ 34.68
Samantha:
cost of 10.7 pound Turkey and 9.5 pound Ham = $ 29.05
Let the cost of one pound of Turkey is T and one pound of Ham is H.
So,
12.3 T + 11.7 H = 34.68 ..... (1)
10.7 T + 9.5 H = 29.05 ......(2)
Solve both these equations, we get
T = $ 1.25 and H = $ 1.65
Plans for a new shopping center call for buildings directly across the sidewalk from each other to be congruent. This computer printout shows a clothing store.
If the vertices of a home improvement store are located at (−x1,y1), (−x2,y2), (−x3,y3), and (−x4,y4), will the home improvement store be congruent to the clothing store?
Answers
Answer:
Yes, both stores will be congruent
Step-by-step explanation:
The given coordinates of the vertices of the home improvement store are;
(-x₁, y₁), (-x₂, y₂), (-x₃, y₃) and (-x₄, y₄)
The coordinates of the vertices of the clothing store are;
(x₁, y₁), (x₂, y₂), (x₃, y₃) and (x₄, y₄)
Therefore, the coordinates of the vertices of the home improvement store, corresponds to the coordinates of the vertices of the image of the reflection of the clothing store across the sidewalk (which is the y-axis)
A reflection of (x, y) across the y-axis gives (-x, y)
Given that a reflection is a rigid transformation, the dimensions (lengths and angles between corresponding sides) of the home improvement store and the clothing store are equal, therefore, the home improvement store will be congruent to the clothing store.
Answer: yes, because the home improvement store is a reflection of the clothing store.
Step-by-step explanation:
Imagine math!!!
Solve using the Pythagorean identity
Answers
Answer:
Solution given
Cos[tex]\displaystyle \theta_{1}=\frac{3}{5}[/tex]
consider Pythagorean theorem
[tex]\bold{Sin²\theta+Cos²\theta=1}[/tex]
Subtracting [tex]Cos²\theta[/tex]both side
[tex]\displaystyle Sin²\theta=1-Cos²\theta[/tex]
doing square root on both side we get
[tex]Sin\theta=\sqrt{1-Cos²\theta}[/tex]
Similarly
[tex]Sin\theta_{1}=\sqrt{1-Cos²\theta_{1}}[/tex]
Substituting value of [tex]Cos\theta_{1}[/tex]
we get
[tex]Sin\theta_{1}=\sqrt{1-(\frac{3}{5})²}[/tex]
Solving numerical[tex]Sin\theta_{1}=\sqrt{1-(\frac{9}{25})}[/tex]
[tex]Sin\theta_{1}=\sqrt{\frac{16}{225}}[/tex]
[tex]Sin\theta_{1}=\frac{\sqrt{2*2*2*2}}{\sqrt{5*5}}[/tex]
[tex]Sin\theta_{1}=\frac{4}{5}[/tex]
Since
In IVquadrant sin angle is negative
[tex]\bold{Sin\theta_{1}=-\frac{4}{5}}[/tex]
Answer:
[tex]\sin(\theta_1)=-\frac{4}{5}[/tex]
Step-by-step explanation:
We'll use the Pythagorean Identity [tex]\cos^2(\theta)+\sin^2(\theta)=1[/tex] to solve this problem.
Subtract [tex]\cos^2(\theta)[/tex] from both sides to isolate [tex]\sin^2(\theta)[/tex]:
[tex]\sin^2(\theta)=1-\cos^2(\theta)[/tex]
Substitute [tex]\cos(\theta)=\frac{3}{5}[/tex] as given in the problem:
[tex]\sin^2(\theta_1)=1-(\frac{3}{5}^2)[/tex]
Simplify:
[tex]\sin^2\theta_1=1-\frac{9}{25}[/tex]
Combine like terms:
[tex]\sin^2\theta_1=\frac{16}{25}[/tex]
For [tex]a^2=b[/tex], we have two solutions [tex]a=\pm \sqrt{b}[/tex]:
[tex]\sin\theta_1=\pm \sqrt{\frac{16}{25}},\\\begin{cases}\sin \theta_1=\frac{4}{5},\\\sin \theta_1=\boxed{-\frac{4}{5}}\end{cases}[/tex]
Since the sine of all angles in quadrant four return a negative output, [tex]\frac{4}{5}[/tex] is extraneous and our answer is [tex]\boxed{\sin(\theta_1)=-\frac{4}{5}}[/tex]
A gardener applies compost to her garden at the rate of 2 bushels of compost for every 16 square feet of garden. At this rate, how many bushels of compost will she need for 208 square feet of garden?
Answers
If they remove 2 bushels for every 16 squared feet, that is 1 bushel for every 8 squared feet. At that rate, you’ll get that she’ll need 26 bushels for her garden, at 208 squared feet.
1/8= x/ 208
Find the distance between (-8,-2) and (6,-1)
Answers
Step-by-step explanation:
hope it helps you........
Answer:
[tex]\sqrt{14^2 + 1^2} = \sqrt{197} = 14.03566885[/tex]
Step-by-step explanation:
sin pi/3 __ __ pi/6 = 1/2(sin pi/2 + sin pi/6)
I think I’m just supposed to fill in the blank? (question off of a p e x) please give explanation!
Answers
Notice that
• π/2 = π/3 + π/6
• π/6 = π/3 - π/6
Recall the angle sum identities for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
sin(x - y) = sin(x) cos(y) - cos(x) sin(y)
By adding these together, we get
sin(x + y) + sin(x - y) = 2 sin(x) cos(y)
==> sin(x) cos(y) = 1/2 (sin(x + y) + sin(x - y))
Now take x = π/3 and y = π/6 :
sin(π/3) cos(π/6) = 1/2 (sin(π/2) + sin(π/6))
So the blank should be filled with cos.
Describe the process you would use to explain to your parents (or other significant adults in your life) how you could calculate the sum of the interior angles of a 12-sided object without measuring them.
Use a word processor, to write up the process you have developed.
Answers
The sum of the interior angles of the 12-sided object without measuring the sides is 1800 degrees.
A polygon is a shape with 4 or more sides. Hence a 12-sided figure will be regarded as a polygon.
I will let them understand that the formula for calculating the sum of the interior angle of a regular polygon is expressed using the formula;
S = (n-2)*180 where:
n is the number of sides
Since we are considering a 12-sided object, then n = 12
The next thing is to tell them to substitute n = 12 into the formula given above as shown;
S = (12-2)*180
S = 10 * 180
S = 1800
This shows that the sum of the interior angles of the 12-sided object without measuring the sides is 1800 degrees.
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Mọi người giúp em với
Answers
Answer:
bka bla bla bla sorry I newbie
Which system of linear inequalities is graphed?
Answers
Answer:
The first one.
Step-by-step explanation:
Graph lines as if the inequalities were equal signs.
X = -3 is a vertical line at x = -3, because it's less than we shade to the left. All numbers less than -3 are to the left. The line is dashed because there is no equal to. Only less than. The line is not included in the solution set.
y = -x - 1 is a line with a y-intercept of -1 and a slope of -1. All values that are less that y are below the line. Because it's less than or equal to the line is solid.
Answer:
A
Step-by-step explanation:
The vertical line is dotted at -3 and shaded to the left
x < -3
This gives us two choices left
A and C
The other line has a y intercept at -1 and is solid and shaded to the left
It is of the form
y ≤ mx+1
We know the slope is negative since is goes down from left to right
The only Choice is A
Can someone help me with this math homework please!
Answers
Answer:
Step-by-step explanation:
Inspecting Restaurants How many different ways can a city health department inspector visit restaurants in a city with restaurants?
Answers
Answer:
252 ways
Step-by-step explanation:
The missing details are:
[tex]n = 10[/tex] --- total restaurants
[tex]r = 5[/tex] --- restaurants to visit
Required
The number of ways to perform the visitation
The question is an illustration of combination;
So, we have:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
This gives:
[tex]^{10}C_5 = \frac{10!}{(10 - 5)!*5!}[/tex]
[tex]^{10}C_5 = \frac{10!}{5!*5!}[/tex]
Expand
[tex]^{10}C_5 = \frac{10*9*8*7*6*5!}{5!*5*4*3*2*1}[/tex]
Cancel out 5!
[tex]^{10}C_5 = \frac{10*9*8*7*6}{5*4*3*2*1}[/tex]
[tex]^{10}C_5 = \frac{30240}{120}[/tex]
[tex]^{10}C_5 = 252[/tex]
Two linear equations are shown.
A coordinate grid with 2 lines. The first line is labeled y equals StartFraction one-third EndFraction x plus 2 and passes through (negative 6, 0) and (0, 2). The second line is labeled y equals StartFraction 4 over 3 EndFraction minus 5.
What is the solution to the system of equations?
(7, 4)
(7, StartFraction 13 over 3 EndFraction)
(8, StartFraction 14 over 3 EndFraction)
(9, 7)
Answers
Answer:
(7, 13/3)
Step-by-step explanation:
Given the expressions
y = 1/3x + 2 and the second line y = 4/3x - 5
Equating both expressions
1/3x + 2 = 4/3x - 5
1/3x - 4/3x = -5 - 2
-3/3x = -7
-x = -7
x = 7
Substitute x = 7 into any of the equations
Using y = 1/3 x + 2
y = 1/3(7) + 2
y = 7/3 + 2
y = (7+6)/3
y = 13/3
Hence the solution to the system of the equation is (7, 13/3)
Answer:
(7,13/3) is your answer, otherwise known as answer choice B.
Step-by-step explanation:
Scarlett made a profit of $250.00 with her mobile car wash company
Answers
Not enough information to solve..... Please make your question more clear
PLEASE HELP ASAP
Select the reason that best supports statement 1 in the given proof.
A.Given
B.Distributive Property
C. Substitution
D. Transitive Property
Answers
Answer:
A.Given
Step-by-step explanation:
Normally when starting a proof, we start with the given information
The first line is the givens < ABD and <DBC are adjacent angles
what is 3/4 divide by 1/6
no simplfly
Answers
Answer:
18/4
After simplification
9/2
Step-by-step explanation:
3/4 ÷ 1/6
Copy dot flip
3/4 * 6/1
18/4
If we simplify
Divide the top and bottom by 2
9/2
The graph shows the function f(x) = 2x
What is the value of x when fx) = 8?
Answers
Answer:
4 = x
Step-by-step explanation:
f(x) =2x
Let f(x) = 8
8 =2x
Divide each side by 2
8/2 = 2x/2
4 = x
Answer:
4
Step-by-step explanation:
f(x) = 2x
When f(x) = 8, x = 8/2 = 4.
Hope this helped,
~cloud
Which number line shows 1/3 and it's opposite?
Answers
Answer: d
Step-by-step explanation: 1/3 is greater than 0 but less than 1 so b or d made sense. 3/3 is 1 and option b us closer to 3/3, so option b shows 2/3. Therefore the answer is d
The ordered pair (2, −4) is a solution of which system?
Answers
Answer:
option 1
Step-by-step explanation:
y ≤ x - 2
-4 ≤ 2-0
-4 ≤ 2 Satisfies the inequality
y ≥ - x - 4
-4 ≥ - 2- 4
-4 ≥ - 6 (2 , -4) satisfies the inequality
