Answer:
(7w + 9x)(7w - 9x)
Step-by-step explanation:
Given expression;
49w² - 81x²
Now to solve the problem;
49w² - 81x² = 7²w² - 9²x²
Using differences of two squares;
x² - y² = (x + y)(x - y)
So;
7²w² - 9²x² = (7w + 9x)(7w - 9x)
Which statement about the graph is true?
•The period of the graph is 2pi/3
•The amplitude of the graph is 2 units •The domain of the graph is from –3 to 3 and is inclusive.
•The graph represents a reflection over the x-axis of the function y = 3sin(2x)
Answer:
D. The graph represents a reflection over the x-axis of the function y = 3sin(2x).
Step-by-step explanation:
The statement fourth the graph represents a reflection over the x-axis of the function y = 3sin(2x) is true option (D) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have shown a trigonometric graph in the picture.
The maximum value graph achieve is 3
The minimum value graph achieve is -3
The midline y = 0
The parent function will be f(x) = sinx
Transformed function:
y = 3sin(2x)
Thus, the statement fourth the graph represents a reflection over the x-axis of the function y = 3sin(2x) is true option (D) is correct.
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√2+√2 =
A. 3√2 or B. 2√2
Which one?
Answer:
B
Step-by-step explanation:
Can i plz have brainliest :)
Adrian bought 20 chicken wings for $44.00. How much does each wing cost?
Answer:
my crushes name is Adrian but the answer is $2.20
Step-by-step explanation:
What is the slope of the graph of 5x – 2y = 20? a.) -10
b.)-2/5
c.)5/2
d.) 5
Answer:
The slope of the graph is 5 / 2
To determine the slope of the graph of [tex]5x-2y=20[/tex] is equal to: C. [tex]\frac{5}{2}[/tex]
Given the following equation:
[tex]5x-2y=20[/tex]To determine the slope of the graph:
The standard form of an equation of line is given by the formula;
[tex]y=mx+b[/tex] ....equation 1.
Where:
x and y are the points.m is the slope.b is the intercept.[tex]5x-2y=20\\\\2y = 5x-20\\\\y = \frac{5}{2} x -10[/tex] ....equation 2
Comparing eqn. 1 and eqn. 2, w have:
Slope, m = [tex]\frac{5}{2}[/tex]
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During a soccer game, a goalie kicks a ball upward from the ground. The equation h(t)=-10t^2+40 represents the height of the ball above the ground in feet as a function of time in seconds. When the ball begins moving downward toward the ground, a player from the other team intercepts the ball with his chest 11 feet above the ground. How long after the goalie kicks the ball does the player intercept the ball?
Answer:
3.98 seconds
Step-by-step explanation:
The given relationship between height, in feet, and the time, in seconds, is
[tex]h(t)=-10t^2+40[/tex]
[tex]\Rightarrow t^2=\frac{40-h(t)}{10}[/tex]
[tex]\Rightarrow t= \pm\sqrt{4-0.1h(t)}\cdots(i)[/tex]
Let at time [tex]t_1[/tex], the ball was at the goalie, so, [tex]h(t_1)=0[/tex], and at the time [tex]t_2[/tex], the ball was intercepted, so, [tex]h(t_2)=11[/tex].
Now, the time to reach the player after the goalie kicks the ball
[tex]\Delta t=t_2-t_1[/tex]
By using equation (i)
[tex]\Delta t=(\pm\sqrt{4-0.1h(t_2)})-\left(\pm\sqrt{4-0.1h(t_1)}\right)\cdots(ii)[/tex]
Now, at the highest point, the slope of the graph must be zero.
So, [tex]\frac {dh(t)}{dt}=0[/tex]
[tex]\Rightarrow -20t=0[/tex]
[tex]\Rightarrow t=0[/tex]
As at the highest point, the time is zero, to before reaching the highest point ( when kikes by the goalie, [tex]t_1[/tex]) take the time with the negative sign and after the highest point (when the ball intercepted, [tex]t_2[/tex]) take the positive sign.
So, from equation (ii) become.
[tex]\Delta t=\sqrt{4-0.1\times 11}-\left(-\sqrt{4-0.1\times 0} \right)[/tex]
[tex]=\sqrt{3.9}-(-\sqrt 4)[/tex]
[tex]=1.98+2[/tex]
= 3.98 seconds
Hence, the time to reach the ball to the player after the goalie kicks the ball is 3.98 seconds.
In which quadrant does the terminal side of your angle lie if sec theta < o and cot theta < o ?
Answer:
The endpoint of an angle
x
lies in the 4th quadrant. Here is why.
First of all, let's recall a few definitions.
Recall the definition of a trigonometric function
sec
(
x
)
:
sec
(
x
)
=
(by definition)
=
1
cos
(
x
)
Recall the definition of a trigonometric function
cot
(
x
)
:
cot
(
x
)
=
(by definition)
=
cos
(
x
)
sin
(
x
)
Step-by-step explanation:
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What is the cost of juice in dollars per fluid ounce?
Which table was created using the equation y = 4x +4?
Answer:
x -2, -1, 0 1 2
y-4 0 4 8 12
Step-by-step explanation:
i think...
Answer:
X Y
1 8
2 12
3 16
4 20
5 24
Step-by-step explanation:
I'm not seeing a table so I assume you need to creat one
find the slope of the line passing through the points (-2,-8) and (7,-8)
Answer: 0/9
Step-by-step explanation: Hi there!
First, we have to put the points into the y2-y1/x2-x1 form.
Take the y value from the second point (-8) and the first point y value (-8)
and subtract.
-8 - (-8)
to get 0
Now we have to get our denominator by taking the x value from our second point and subtracting it by our first y point.
7 - (-2)
to get 9
so when we put that together...
we get 0/9
So the answer is 0/9.
Hope this answer helps you!
the number 0.16 to 4 significant figures is?
Answer:
0.1600
Step-by-step explanation:
0.16 has 2 significant figures. To make it 4 significant figures, add two trailing zeros.
Zach's car travels 21 miles on 1 gallon of gas. Using the answer choice from the previous question, Determine how far Zach travels on a trip if he uses 16 gallons of gas.
Answer:
336 miles
Step-by-step explanation:every gallon goes 21 miles so
2gallons= 42 miles
3gallons =63 miles
16 gallons x 21 miles
Answer:
336
Step-by-step explanation:
for every one gallon he goes 21 miles
21+21=42 2 gallons
42+42=84 4 gallons
84+84=168 8 gallons
168+168=336 16 gallons
help. you are converging 8 centimeters to meters. how will the number of meters compare to 8? explain
Answer:
0.08
Step-by-step explanation:
Because one cm to meters is 0.01 and times it by 8
=0.08
What is 8.51736 rounded to the nearest ten-thousandth?
67.5 Divided by 2.25 show work please:(!!
Answer:
The right answer for your question is 30 because if you divide 67.5 by 2.25 then,the quotient would be 30.
Hope it helps you.
The required solution will be 30 which is determined by 67.5 divided by 2.25.
What is the division operation?The basic arithmetic operations are division, multiplication (the opposite of division), addition, and subtraction. Arithmetic operations are methods for combining integers to generate new numbers. The division is defined as the number of times a given number is divided by another number.
67.5 Divided by 2.25
67.5 ÷ 2.25
Convert the dividend and divisor to integers by multiplying each by 100, making them 6750 and 225 respectively.
⇒ 6750 / 225
Apply the division operation, and we get
⇒ 30
Thus, the required solution will be 30 which is determined by 67.5 divided by 2.25.
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What is 25 percent of 530?
AYEEEEE i need help again because i dont know nothing
Answer:
its D
Step-by-step explanation:
"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman (GhostBusters)
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You deposit $900 in a savings account that earns a simple interest rate of 4.5% per year. You calculate you will earn $1215 in interest over 3 years. Is your answer reasonable?
A. Yes; the interest will be much less than the total in the account
B. No; the interest will be much less than the total in the account.
C. No; the interest will be more than the total in the account.
D. Yes; the interest will be more than the total in the account.
Answer:
a..
Step-by-step explanation:
yes the interest will be much less than total than the account
The answer is not reasonable because the interest will be much less than the total in the account.
In order to determine if the answer is reasonable, we have to determine the simple interest that would be earned and the total amount in the account.
Simple interest = amount deposited x time x interest rate
$900 x 0.045 x 3 = $121.50
The total amount in the account in three years = amount deposited + interest earned
$900 + $121.50 = $1021.50.
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Which graph shows a set of ordered pairs that represent a function ?
Answer:
C
Step-by-step explanation:
if you draw a line between the points then draw vertical lines they dont cross more than one dot
I really don’t understand this question and I don’t know what to do
Y is greater than or equal to 3 and less than 7
Answer:
y = 3to6
Step-by-step explanation:
Answer:
3 ≤ y < 7
Step-by-step explanation:
≥ means greater than or equal to
≤ means less than or equal to
< means less than
> means greater than
Given y is greater than or equal to 3
y ≥ 3
y less than 7
y < 7
Joining both of them together
3 ≤ y < 7
please help asap, the question is
Do you see a pattern? If so, explain your reasoning. and What predictions can you make about future rectangles in the set if your pattern continues?
Answer: the pattern is that the rectangles width and length get timed 2.
Step-by-step explanation: that pattern will continue until the rectangle will get bigger than the unobservant universe...
Select two ratios that are equivalent to 6:106:106, colon, 10. Choose 2 answers: Choose 2 answers: (Choice A) A 20:1220:1220, colon, 12 (Choice B) B 32:5032:5032, colon, 50 (Choice C) C 3:53:53, colon, 5 (Choice D) D 24:4024:4024, colon, 40 (Choice E) E 14:8014:80
Answer:
C. 3 : 5
D. 24 : 40
Step-by-step explanation:
Select two ratios equivalent to 6 : 10
Checking all options
A. 20 : 12
20 / 12
= 10 /6
= 10 : 6
B. 32 : 50
= 32 / 50
= 16 / 25
C. 3 : 5
3 / 5
= 6 / 10
3/5 is equivalent to 6 / 10
D. 24 : 40
24 / 40 = 12 / 20
= 6 / 10
= 6 : 10
Options C and D are correct
Answer:
the anwser is c. and d.explanation:khan acadmey says so
two solutions to the inequality p ≤ 16.
Answer:
The inequality says p is equal to 16 and less than 16.
So from under 16 (even negative), you can give a solution.
Examples: -3; 2
Hope this helps!
The linear model below shows the number of gallons of gas remaining in Sierra's car after she has driven x miles.
According to the model, how many gallons of gas does Sierra's car hold on a full tank (when the number of miles driven is zero)?
A. 16
B. 19
C. 15
D. 21
Answer:
The answer is 19
Step-by-step explanation:
Determine if the following is a PROPORTIONAL
relationship or NONPROPORTIONAL relationship.
y = -2x + 2
Use the Distributive Property to simplify 17(2b + 3)
Answer:
34b+51
Step-by-step explanation:
When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...
17(2b+3)
34b+51
Because you can't tell what x is, this is the most simplifying you can do.
Hopefully this helped you out...have an amazing day :3
How many terms are there in the following expression: 3a+3ab+7b-4d?
Answer:
3
Step-by-step explanation:
no need for 6AM and sons to know what u should be a good job of the first day and sons and peele is the only one who is the only person in this one who
Answer:
There are 4 terms.
Step-by-step explanation:
3a
3ab
7b
4d
Is this a geometric sequence? 100,50,10,5, 1,...
Answer:
No
Step-by-step explanation:
A city planner wants to build a bridge across a lake in the park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the other leg is 160 feet. Find the length of the bridge
Answer:
The length of the bridge is 300 feet.
Step-by-step explanation:
Let A represent the length of one leg.
Let B represent the length of the other leg (i.e length of the bridge)
Let C represent the length of the Hypothenus.
From the question given above, the following data were obtained:
Length of Hypothenus (C) = 340 feet.
Length of one leg (A) = 160 feet.
Length of the bridge (B) =.?
The length of the bridge can be obtained by using the pythagoras theory as illustrated below:
C² = A² + B²
340² = 160² + B²
115600 = 25600 + B²
Collect like terms
115600 – 25600 = B²
90000 = B²
Take the square root of both side
B = √90000
B = 300 feet
Therefore, the length of the bridge is 300 feet
For the function y=7−3x, what is the ordered pair for x=5?
Answer:
The ordered pair is (5,-8)
Step-by-step explanation:
Here, we are interested in writing the ordered pair for x = 5
We need to get y.
We can get y by substituting into the given equation;
y = 7 - 3(5)
y = 7-15
y = -8
The ordered pair is (5,-8)