Answer:
IT'S A !
Step-by-step explanation:
Took the quiz on edge 2022 .
the correct statement is:
"The lines are perpendicular to each other because the graph of y = -6 is a horizontal line with a slope of 0, and the graph of x = dx is a vertical line with an undefined slope."
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Find correct statement is true about the graphs of the two lines y=-6 and x = dx
Since, horizontal line with a slope of 0, and the graph of x = dx is a vertical line with an undefined slope.
Therefore, the correct statement is:
"The lines are perpendicular to each other because the graph of y = -6 is a horizontal line with a slope of 0, and the graph of x = dx is a vertical line with an undefined slope."
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If x = -7, evaluate the following expression:
(x − 2)(x+14)
——————-
x(x + 8)
Answer:
9
Step-by-step explanation:
[tex]\text{Given that}~ x = -7\\\\\dfrac{(x-2)(x+14)}{x(x+8)}\\\\\\=\dfrac{(-7-2)(-7+14)}{-7(-7+8)}\\\\\\=\dfrac{(-9)(7)}{-7(1)}\\\\\\=\dfrac{-63}{-7}\\\\\\=9[/tex]
The graph of y=x² + 11x + 24 is equivalent to the graph of which equation?
y=(x+8)(x+3)
y=(x + 4)(x+6)
y=(x +9)(x + 2)
y=(x + 7)(x+4)
Answer:
y = (x+8)(x+3)
Step-by-step explanation:
If you multiply
(x+8)(x+3),
you get x^2 + 3x + 8x + 24
This simplifies to x^2 + 11x + 24, same as the original question.
The graph of y=x² + 11x + 24 is equivalent to the y=(x+8)(x+3).
What is Polynomial?An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Constants and variables are components of a polynomial.
We have Graph whose equation is
y=x² + 11x + 24
Now, factories the above equation using splitting the middle term
y=x² + 11x + 24
y=x² + 8x + 3x + 24
y = x(x+8) + 3(x+8)
y= (x+3)(x+8)
Thus, the factors are (x + 3)(x+8).
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Book on Language made From Pi or π
Answer:
Step-by-step explanation:
I need the answers with work someone please help if not ima fail math
Answer:
I am sorry if you feel mad but I do not know this question I am very sorry . . . . . . . . . .
2-53. a message is released at 1930 hours greenwich mean time on 2 january 1991. what is the correctly stated date-time group (dtg) assigned to the me
Step-by-step explanation:
. In Figure 5.144, of ΔABC, where
m(∠C) = 30, m(∠ABD) = 5x,
m(∠A) = 4x. Find m(∠ABC) in
degrees.
Help I’m confused on what to do
The correct answer for the Function in the diagram is: (B). [tex]\frac{1}{X}[/tex] + [tex]x^{2}[/tex] + 2x - 5
Meaning of FunctionA function can be defined as a set of outputs that its varying is dependent on the inputs.
In this case the functions given have a designated outputs.
(f+g)(x) = f(x) + g(x) - because its held by an addition
(f+g)(x) = [tex]\frac{1}{X}[/tex] + [tex]x^{2}[/tex] + 2x - 5
In conclusion, The correct answer for the question in the diagram is: (B). [tex]\frac{1}{X}[/tex] + [tex]x^{2}[/tex] + 2x - 5
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
A correct answer is option A which is x² + (y – 3)² = 36 is the equation of the circle that has a diameter of 12 units and a center that lies on the y-axis.
What is a circle?A circle is a two-dimensional geometry on the plane having a center point and the circular line is drawn equidistant from the center point.
The general form of the equation of a circle is given as:-
( x - h )² + ( y - k )² = r²
By comparing the given equation we can see the following results:-
x² + (y – 3)² = 36
( x - ( 0 ))² + ( y - 3 )² = 6²
We can see that the coordinate of the center are ( 0, 3 ) and the radius is 6 so the diameter is 12.
Therefore the correct answer is option A which is x² + (y – 3)² = 36 is the equation of the circle that has a diameter of 12 units and a center that lies on the y-axis.
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Answer:
A and E (first and last, ending in "=36")
x2 + (y – 3)2 = 36
x2 + (y + 8)2 = 36
Step-by-step explanation:
just took the quiz
Nick walked 5 miles to reach his aunt's house. from there he traveled 8 miles to the shopping mall on a bicycle. he traveled 80% faster on the bicycle than on foot. let r represent his rate of walking in miles per hour. identify the expression that represents the number of hours nick took to reach the shopping mall in terms of r. then find the time taken by nick to reach the shopping mall if he walked at an average speed of 3 miles per hour.
The expression of time in terms of r is T = 85/9r. If he walked at an average speed of 3 miles per hour. Then the time taken by nick to reach the shopping mall will be 3 hours and 60 minutes.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Nick walked 5 miles to reach his aunt's house.
From there he traveled 8 miles to the shopping mall on a bicycle.
He traveled 80% faster on the bicycle than on foot.
Let r represent his rate of walking in miles per hour. Then the 1.8r will be the rate of cycling in miles per hour.
Then the number of hours nick took to reach the shopping mall in terms of r will be
T = t₁ + t₂
Where t₁ is the time taken to reach his aunt's house and t₂ is the time taken to reach the shopping mall from his aunt's house. Then we have
T = 5 / r + 8 / 1.8r
T = 1/r (5 + 8/1.8)
T = 85/9r
If r is 3 miles per hour, then the time taken by nick to reach the shopping mall will be
T = 85 / (9 x 3)
T = 3.15 hours
T = 3 hours and 9 minutes
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Find the period and amplitude of the function.
y=5cos2O
Answer:
period pi and amplitude 5
Whoever answers correctly gets BRAINLIESTand 100 points
A rectangular prism with a length of 3.8 meters and a width of 1.5 meters has a volume of 16.53 cubic meters.
What is the height of the prism?
2.9 m
6.525 m
11.23 m
21.83 m
Answer:
2.9 meters.
Step-by-step explanation:
First we multiply the length, 3.8, by the width, 1.5, to get the base, 5.7 (this step is not entirely necessary, but makes it much easier). Then we divide the volume, 16.53, by the base, 5.7, to get the height, 2.9 meters.
Answer:
i think its 21.83 i may be wrong but im pretty sure its 21.83
Step-by-step explanation:
The first term of a geometric sequence is 2, and the 4th term is 250. Find the 2 terms between the first and the 4th term.
Answer:
second term: 10
third term: 50
Step-by-step explanation:
The equation for any geometric sequence is [tex]a_{n} = a_{1} *r^{n-1}[/tex] where n is the term number you want to find, [tex]a_{1}[/tex] is the first term in the sequence, and [tex]r[/tex] is the common ratio. The equation for this sequence specifically uses 5 as its common ratio, so the equation is [tex]a_{n} =2*5^{n-1}[/tex]
[tex]a_{1} = 2*5^{1-1}=2*5^{0} =2*1=2[/tex]
[tex]a_{2} = 2*5^{2-1}=2*5^{1} =2*5=10[/tex]
[tex]a_{3} = 2*5^{3-1}=2*5^{2} =2*25=50[/tex]
[tex]a_{4} = 2*5^{4-1}=2*5^{3} =2*125=250[/tex]
Casho invests money in an account paying simple interest. She invests $30 and no
money is added or removed from the investment. After one year, she has $32.40.
What is the simple percent interest per year?
Answer:
8%
Step-by-step explanation:
Divide ( 32.40 / 30 ). This outputs the answer 1.08, or 108%. This means that the outcome is 108% of the original, or 8% greater.
The simple interest in which Casho invests money was 8%.
What is simple interest?
Simple interest is often a predetermined percentage of the principle amount borrowed or lent paid or received over a specific time period.
We know simple interest (SI) is given by SI = (p×r×t)/100, where
p = principle, r = rate in percentage, and t = time in years.
Given, p = 30, SI = (32.40 - 30) = $2.40 and t = 1.
Therefore, 2.40 = (30×r×1)/100.
240 = 30r.
r = 240/30.
r = 24/3.
r = 8.
So, The rate of simple interest is 8%.
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need help on a worksheet due early tomorrow
The correct numbers to get to the media or mean are 10, 33, 3, and 2.
What is the difference between median and mean?The media is obtained by organizing the values given and selecting the one that is in the middle; while the mean is obtained by adding all values and dividing the total by the number of values.
What value makes the median 5 and 25?A. 2,4,5,9,1,7 = 1,2,4,5,7,9,10 x= 10B.32,23,15,30,12 = 12,15,23,25,30,32,33 x= 33What value makes the mean 5 and 3?A. 7+8+2+5 +3 = 25/5 = 5 x= 3B. 6+1+7+4+1+0+2= 21/7 =3 x=2Learn more about numbers in: https://brainly.com/question/17429689
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A vendor sells apples, pears and oranges. He has 120 oranges. Given that he has 20% more apples than oranges and 40% fewer oranges than pears, find the tal number of fruits he has.
Answer:
144 apples 72 pears
Step-by-step explanation:
Apples 120 + 20% = 144
Pears 120 - 40% = 72
Hope This Helped
Please help Fast! Need answer by 1:00 pm
Simplify the expression. Write your answer as a power.
3^2x3^2
The simplified expression is
Answer:
3^4
Step-by-step explanation:
when both constants have equal base then powers are added
how do i solve 8(2-6v) + 19 = -61
Answer:
v=2
Step-by-step explanation:
what's the domain of the function?
please i need this the soon as possible...
Find the 14th term of the geometric sequence 5,-10,20
In this specific case, the initial term (a) is 5 and the common ratio (r) is -2
Henceforth, after determining what a and r are, we use the formula for the nth term. Which is:
[tex]a_n = a \times r^{n-1} [/tex]
Therefore, the 14th term is :
[tex]\implies 5 \times { (- 2)}^{14 - 1} \\\implies 5 \times {( - 2)}^{13} \\ =\boxed { -40,960} [/tex]
Hope it helps!
The table below shows the value of Henry's car at the end for each of the first 3 years after it is purchased. The values form a geometric
sequence.
Year
Value
dollars)
18000
116200
14580
(in
What will be the approximate value of the car at the end of the 10th year?
O
A. $6,974
B. $8,610
C. $11,810
D. $7,748
Using a geometric sequence, it is found that the approximate value of the car at the end of the 10th year will be given by:
A. $6,974.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem, the first term and the common ratio are given, respectively, by:
[tex]a_1 = 18000, q = \frac{16200}{18000} = 0.9[/tex]
Hence the equation is:
[tex]a_n = 18000(0.9)^{n-1}[/tex]
At the end of the 10th year, the value will be of:
[tex]a_{10} = 18000(0.9)^{10-1} = 6974[/tex]
Hence option A is correct.
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-286 divided by 457.6
Which of the following equations has a slope of 5 and y-intercept of 4 ?
Answer:
Equation in Slope intercept form :
y = 5x + 4
The angle of elevation to a nearby tree from a point on the ground is measured to be 54^{\circ} ∘ . How tall is the tree if the point on the ground is 89 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
The height of the tree to the nearest hundredth is 122.49 feet
Application of SOH CAH TOAThese are used to determine the sides and angle of a right triangle
Given
Angle of elevation= 54 degrees
Base distance = 89 feet
Required
Height of tree
Using the SOH CAH TOA
tan 54 = H/89
H = 89tan54
H = 122.49
Hence the height of the tree to the nearest hundredth is 122.49 feet
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Explain why cos(−3π4)=cos(5π4).
Answer:
See below
Step-by-step explanation:
Think about what happens when you rotate around a circle [tex]-\frac{3\pi}{4}[/tex] radians. This means that you are going clockwise [tex]-\frac{3\pi}{4}[/tex] radians.
Likewise, if you went [tex]\frac{5\pi}{4}[/tex] radians counterclockwise, you'd end up in the same place, so the cosine values must be the same.
Pls help!!!
Write an exponential equation for the graph shown
below.
Explain how you determined the equation.
The exponential equation of the graph is y = 1.59 * 1.26^x
How to determine the exponential equation?On the graph, we have the following points
(x,y) = (2,1) and (4,4)
An exponential function is represented as;
y = ab^x
So, we have:
ab^1 = 2 and ab^4 = 4
Divide both equations
b^3 = 2
Take the cube root of both sides
b = 1.26
Substitute b = 1.26 in ab^1 = 2
1.26a = 2
Divide both sides by 1.26
a = 1.59
So, we have:
y = ab^x
y = 1.59 * 1.26^x
Hence, the exponential equation of the graph is y = 1.59 * 1.26^x
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help please! marking brainliest
Answer:
see explanation
Step-by-step explanation:
using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]
Then
(a)
[tex]5^{4}[/tex] × [tex]5^{5}[/tex] = [tex]5^{(4+5)}[/tex] = [tex]5^{9}[/tex]
(b)
[tex]2^{7}[/tex] × 2 = [tex]2^{(7+1)}[/tex] = [tex]2^{8}[/tex]
(c)
[tex]6^{5}[/tex] ÷ 6² = [tex]6^{(5-2)}[/tex] = 6³
(d)
[tex]9^{7}[/tex] ÷ [tex]9^{6}[/tex] = [tex]9^{(7-6)}[/tex] = [tex]9^{1}[/tex] = 9
------------------------------------------------
(a)
3² × [tex]3^{4}[/tex] = [tex]3^{(2+4)}[/tex] = [tex]3^{6}[/tex]
(b)
[tex]5^{7}[/tex] × 5³ = [tex]5^{(7+3)}[/tex] = [tex]5^{10}[/tex]
(c)
[tex]6^{7}[/tex] ÷ 6² = [tex]6^{(7-2)}[/tex] = [tex]6^{5}[/tex]
(d)
[tex]9^{4}[/tex] ÷ 9³ = [tex]9^{(4-3)}[/tex] = [tex]9^{1}[/tex] = 9
Find the indicated side of the
right triangle.
45°
y
y =
45%
88
The indicated side of the right triangle is [tex]44\sqrt{2} =\frac{88}{\sqrt{2} }[/tex].
RIGHT TRIANGLEA triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.
The Pythagorean Theorem says:[tex]hypotenuse^2=(leg_1)^2+(leg_2)^2[/tex]. And the main trigonometric ratios are:
[tex]sin(\beta )= \frac{opposite\;leg}{hypotenuse} \\ \\ cos(\beta )= \frac{adjacent\;leg}{hypotenuse} \\ \\ tan(\beta )= \frac{opposite\;leg}{adjacent\;leg} \\ \\[/tex]
The question asks to find one of the legs (y). Then, you can find y applying the trigonometric ratio (sin 45°).
[tex]sin(45\°)=\frac{y}{88}[/tex]
Like sin45° is equal to [tex]\frac{\sqrt{2} }{2}[/tex], you have
[tex]\frac{\sqrt{2} }{2} =\frac{y}{88}\\ \\ 2y=88\sqrt{2} \\ \\ y=44\sqrt{2} \\ \\ Thus\\ \\ y=\frac{88}{\sqrt{2}}[/tex]
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Answer: 88[tex]\sqrt{2}[/tex]
Step-by-step explanation:
hope it helps
MATHH!!! find the surface area of the composite figure. Please answer correctly & tell me how you got your answer
The total area of the given composite figure is; 84.8 ft²
How to find the area of a composite figure?
We are given;
Area of triangle = 5.6 ft²
Thus, area of 2 triangles = 2 * 5.6 = 11.2 ft²
Area of rectangles = 2(3.6 * 2) + 2(2 * 4) + 3(4 * 3.6)
Area of rectangles = 14.4 + 16 + 43.2
Area of rectangles = 73.6 ft²
Total Area of composite figure = 73.6 ft² + 11.2 ft²
Total Area of composite figure = 84.8 ft²
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Find the center and radius of the circle with this equation:
x² + 16x + 64 + y² - 2y + 1 = 144
By completing squares, we will see that the radius is 12 units and the center is (-8, 1).
How to find the center and radius of the circle?The circle of center (x₁, y₁) and radius r is written as:
(x - x₁)² + (y - y₁)² = r²
Now we go to our equation:
x² + 16x + 64 + y² - 2y + 1 = 144
Now we need to complete squares:
(a + b)² = a² + 2ab + b²
Then we can rewrite:
(x² + 2*8*x + 8*8) + (y² - 2y + 1) = 12²
(x + 8)² + (y - 1)² = 12²
So the center is the point (-8, 1) and the radius is 12 units.
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Solve for x.
x/12 = -4
Answer:
[tex] \frac{x}{12} = - 4[/tex]
[tex] \frac{x}{12} = \frac { - 4}{1} [/tex]
[tex]x \times 1 = 12 \times - 4[/tex]
[tex]x = - 48[/tex]
value of x is -48
Answer:
x=-48.
Step-by-step explanation:
To find x we should multiply both sides, by 12:
[tex]\sf \cfrac{x}{12}\times12=\-4\times12[/tex]
↪
The 12s cancel on the left:
[tex]x=-4\times12[/tex]
After multiplying we obtain [tex]\sf x=-48[/tex]. Which is our answer.
Hope that this helped you! Have a good day ahead.
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