Answer:
The 1st, 3rd, and 5th statements are correct.
Step-by-step explanation:
YZ has the same angle as XY, so the length is the same.
A^2+B^2=C^2 shows that XZ equals 9 sqrt 2 cm.
The hypotenuse is always the longest segment in the triangle.
which of the following us the solution to 6 | x-9 | > 12?
Answer:
x∈ (11, +∞)
x∈ (-∞, 7)
Step-by-step explanation:
6|x-9|>12 :Split into possible cases
6(x-9)>12, x-9≥0 : solve the inequalities
x>11, x≥9
x<7, x<9 : find the intersections
x∈ (11, +∞)
x∈ (-∞, 7)
Given 3 non-collinear points, which of the following are true?
The intersection of 2 planes would contain all 3 points.
They will be contained in the same line.
There is only 1 plane that contains all 3 points.
Only one line can be drawn containing any 2 of the points.
Answer:
There is only 1 plane that contains all 3 points.
Step-by-step explanation:
According to the three point postulate, three non-collinear points are in one plane. Therefore, your answer would be there is only 1 plane that contains all 3 points.
Let's analyze each statement regarding the three non-collinear points:
1. "The intersection of 2 planes would contain all 3 points."
This statement is false. The intersection of two planes in three-dimensional space is a line, and there is no guarantee that a line resulting from the intersection of two arbitrary planes will contain all three non-collinear points. In fact, the likelihood of this happening by chance is zero.
2. "They will be contained in the same line."
This statement is false as well. Since the points are non-collinear, by definition, they do not all lie on a single line. A line can only contain two of the points at a time, but not all three if they are non-collinear.
3. "There is only 1 plane that contains all 3 points."
This statement is true. Given any three non-collinear points in space, there is exactly one plane that contains all three. This is because any three points that are not on the same line can define a plane by being unique points in a two-dimensional subspace of three-dimensional space.
4. "Only one line can be drawn containing any 2 of the points."
This statement is true as well. For any two distinct points, there exists exactly one line that connects them. This is one of the fundamental principles of geometry: through any two points, there is exactly one straight line.
In summary, the third and fourth statements are true, while the first and second are false.
Simplify this radical √48
Answer:
4√3.
Step-by-step explanation:
√48
= √(16 * 3)
= √16 * √3
= 4√3.
The ratio of output work to imput work expressed as the percent is what of the machine
Answer:
Efficiency is the ratio of output work to input work.
Machine efficiency is the percent ratio of output work to input work, calculated by (Wout / Win) * 100, and accounts for real-world energy losses, making it always less than 100 percent.
The ratio of output work to input work expressed as a percent is known as the efficiency of a machine. This efficiency (Eff) can be calculated using the equation Eff = (Wout / Win) * 100, where Wout is the output work and Win is the input work. In the context of simple machines, work (W) is defined as the force (F) applied over a distance (d), thus W = F * d. While ideal mechanical advantage (IMA) does not consider losses like friction and is calculated using specific equations for each type of machine, efficiency takes into account real-world factors and is always less than 100 percent due to these energy losses.
A student says that the function f(x)=3x^4+5x^2+1 is an even function.
Is the student's statement true or not true, and why?
The student's claim is true, because for any input of x, f(x)=−f(x).
The student's claim is true, because for any input of x, f(x)=f(−x).
The student's claim is not true, because for any input of x, f(x)=f(−x).
The student's claim is not true, because for any input of x, f(x)=−f(x).
Answer:
B.
Step-by-step explanation:
If f(-x)=f(x), then f is even.
If f(-x)=-f(x), then f is odd.
To determine if f(x)=3x^4+5x^2+1 is even or odd plug in -x like so:
f(x)=3x^4+5x^2+1
f(-x)=3(-x)^4+5(-x)^2+1
f(-x)=3x^4+5x^2+1
f(-x)=f(x)
So f is even.
You should keep in mind the following:
(-x)^odd=-(x^odd)
(-x)^even=x^even
Examples:
(-x)^81=-(x^81) since 81 is odd
(-x)^10=x^10 since 10 is even
Anyways, the student is right and f(-x)=f(x).
Answer:
The student's claim is true, because for any input of x, f(x)=f(−x).
Step-by-step explanation:
If a student says that the function f(x)=3x^4+5x^2+1 is an even function, the student's statement true because for any input of x, f(x)=f(−x).
f(-x)=f(x) is even.
f(-x)=-f(x) is odd
If one point on a vertical line has the coordinates (5, -2), which points are also on the line? Select all that apply.
(-3, 1)
(5, 1)
(5, 0)
(-4, -3)
Answer:
(5,1)
(5,0)
Step-by-step explanation:
Vertical lines contain the same x-coordinate per any point on it's line.
So the x-coordinate of (5,-2) is 5.
We are looking for points that have the x-coordinate being 5.
(5,1)
(5,0)
Actually the equation for this line is x=5.
[tex]\huge{\boxed{\text{(5, 1)}}}\ \huge{\boxed{\text{(5, 0)}}}[/tex]
Explanation:[tex]\text{A vertical line is a line where all of the x values (the first values) are the same.}[/tex]
[tex]\text{In this case, all answers with an x value of 5 are correct.}[/tex]
Which graph shows the inequality y ≤-3x-1?
Answer:
please could you send graphics A,B,C. you just sent D.
is my working step wrong? the quaestion is find the range of values of x that satisfy the inequalities by using basic definition
Answer:
x < -2
Step-by-step explanation:
2|x| > 3x + 10
Divide both sides by 2.
|x| > 1.5x + 5
********************************************************
An absolute value inequality of the form
|X1| > X2
where X1 and X2 are expressions in x is solved by solving the compound inequality
X1 > X2 or X1 < -X2
********************************************************
Back to your problem.
|x| > 1.5x + 5
x > 1.5x + 5 or x < -(1.5x + 5)
-0.5x > 5 or x < -1.5x - 5
x < -10 or 2.5x < -5
x < -10 or x < -2
Since x < -10 is included in x < -2, the solution is
x < -2
Rewrite the expression in a radical form k^2/9
Two bakeries sell muffins that can be customized with different kinds of berries. Berry Bakery sells muffins for $14.50 a dozen, plus $0.50 for each kind of berry added. Raisin Bakery sells muffins for $12.00 a dozen, plus an additional $0.75 for each kind of berry added. Let b be the number of the kinds of berries added. The equation that represents when the cost of one dozen muffins is the same at both bakeries is 14.5 + .5b = 12 + .75b.
Answer:
its B It gives the number of the kinds of berries needed for the cost to be the same at both bakeries.
Step-by-step explanation:
What number should be added to both sides of the equation to complete the squan
х2 + 8x = 4
оооо
Answer:
16
Step-by-step explanation:
х2 + 8x = 4
Take the coefficent of the x term, 8
Divide it by 2. 8/2 =4
Then square it, 4^2 = 16
Add this to both sides of the equation
x^2 +8x+16 = 4+16
I need these questions answered please
Answer:
Discontinuities are created when the denominator of the rational expression equals zero (because division by zero is undefined). Graphically, this is usually represented by a dashed vertical line indicating a vertical asymptote.
Which of the following are characteristics of the graph of the quadratic parent
function?
Check all that apply.
A. It is a parabola.
B. It is in quadrants I and III.
C. It is in quadrants I and II.
D. It is a straight line.
The graph of the quadratic parent function, y = x^2, is indeed a parabola and lies in quadrants I and II. It is not a straight line and doesn't occupy quadrants I and III.
Explanation:The graph of the quadratic parent function, which is y = x^2, has specific characteristics, namely:
A. It is a parabola. This is true as every quadratic function forms a parabola, which is a curve shaped like a 'U' or an upside-down 'U'.B. It is in quadrants I and III. This is incorrect. The graph of y = x^2 lies in quadrants I and II. It doesn’t occupy quadrants III and IV unless it is shifted horizontally.C. It is in quadrants I and II. This is correct, as the graph of y = x^2 begins at the origin and expands out into these two quadrants.D. It is a straight line. This is incorrect. The graph of a quadratic function forms a parabola, not a straight line.Learn more about Quadratic Parent Function here:https://brainly.com/question/32643207
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I need this factored. Is it actually considered prime??
Dylan ate 1/6 of the pizza. If the pizza originally had 12 slices, how many slices did Dylan eat?
Multiply the total number of slices by the fraction he ate:
12 slices x 1/6 = 12/6 = 2
He ate 2 slices.
Answer:
2
Step-by-step explanation:
1/6 of 12 =
= 1/6 * 12
= 1/6 * 12/1
= (1 * 12)/(6 * 1)
= 12/6
= 2
Which of the following best explains why tan5pi/6 does not equal tan5pi/3? Hurry please
Answer:
The angles do not have the same reference angle.
Step-by-step explanation:
We can answer this question by referring to the unit circle.
The reference angle of 5π/6 is π/6, and the reference angle of 5π/3 is π/3.
B, C, and D are wrong. Tangent is negative in both quadrants
Tan(5pi/6) and tan(5pi/3) are both equal to -sqrt(3), so they are equal.
Explanation:Tan is a trigonometric function that represents the ratio of the opposite side to the adjacent side of a right triangle. Tan(x) is equal to sin(x) / cos(x).
When we evaluate tan(5pi/6), we find that it is equal to -sqrt(3).
When we evaluate tan(5pi/3), we find that it is equal to -sqrt(3).
Therefore, both tan(5pi/6) and tan(5pi/3) are equal to -sqrt(3), so they are equal.
Solve 2c – 8f = 24 for f. Show your work.
Answer: 3 - [tex]\frac{c}{4}[/tex]
Step-by-step explanation:
2c - 8f = 24
2(c - 4f) = 2(12)
c - 4f = 12
4f = 12 - c
F = 3 - [tex]\frac{c}{4}[/tex]
Line MN passes through points M(4, 3) and N(7, 12). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?
Answer:
b = -9
Step-by-step explanation:
As we go from M(4, 3) to N(7, 12), x increases by 3 and y increases by 9. Thus, the slope of the line segment connecting these two points is m = rise / run = m = 9/3, or just m = 3.
Subbing the coordinates of M into y = mx + b, we get:
3 = 3(4) + b, or 3 = 12 + b, so that b = -9.
Answer:
-9
Step-by-step explanation:
When Point E (-9, 3) is rotated 270° counterclockwise about the origin, it becomes Point E’ (3, -9). true or false?
Answer:
False
Step-by-step explanation:
It would be at -3,9.
Explain the steps you would take to find the quotient of
1\3÷ 4\3
Answer:
The quotient is 1/4
Step-by-step explanation:
1/3 ÷ 4/3
The first step you have to do is change the division sign into multiplication. So that the denominator of 2nd term will become numerator and the numerator will become denominator.
Like:
1/3 * 3/4
Now you can cancel out 3 by 3
1 * 1/4
1/4
Thus the quotient is 1/4 ....
For this case we must find the quotient of the following expression:
[tex]\frac {\frac {1} {3}} {\frac {4} {3}}[/tex]
If we apply double C we have:
[tex]\frac {3 * 1} {3 * 4} =[/tex]
We cancel similar terms in the numerator and denominator and finally we have the quotient is:
[tex]\frac {1} {4}[/tex]
Answer:
[tex]\frac {1} {4}[/tex]
Find the sample space for tossing 4 coins. Then find P(exactly 2 heads).
Answer:
6/16 or 0.375 ..
Step-by-step explanation:
Each time the coin has two possible outcomes so tossing the coin four times
The sample space will be: 2^4 = 16
The sample space is: {HHHH, HTHH, THHH, HTHT , HHHT, HTTH, TTHH, THTH, HHTT, HHTH, TTTH, THHT ,HTTT, TTTT, TTHT, THTT}
Let A be the event that there are exactly two heads
A = {HTHT, HTTH, TTHH, THTH, HHTT, THHT}
n(A) = 6
So the probability of exactly two heads is:
P(A) = 6/16 or 0.375 ..
Answer:
3/8
Step-by-step explanation:
The person up there answered it right they just went too high with the numbers.
Adante begins to evaluate the expression 3 1/3 x 5 1/4
The next step for the evaluation of the given expression is:
[tex](3)(5)+(\dfrac{1}{3})(5)+(3)(\dfrac{1}{4})+(\dfrac{1}{3})(\dfrac{1}{4})[/tex]
Step-by-step explanation:We are given an arithmetic expression as follows:
[tex](3+\dfrac{1}{3})(5)+(3+\dfracx{1}{3})(\dfrac{1}{4})[/tex]
Now, in order to solve the given arithmetic expression we need to use the distributive property.
i.e.
[tex](a+b)c=a\cdot c+b\cdot c[/tex]
Now, the expression in the next step is written as follows:
[tex](3+\dfrac{1}{3})(5)+(3+\dfracx{1}{3})(\dfrac{1}{4})=(3)(5)+(\dfrac{1}{3})(5)+(3)(\dfrac{1}{4})+(\dfrac{1}{3})(\dfrac{1}{4})[/tex]
Your report card contains five A's and three B's. What is the ratio of A's to B's?
Answer:
5 : 3
Step-by-step explanation:
Five A's
Three B's
Therefore, 5 : 3
You would not include the letters because a ratio is just a number.
What's the solution to 3x – 6 < 3x + 13? A. x > 5 B. There are no solutions. C. There are infinitely many solutions. D. x < –5
Answer:
C. There are infinitely many solutions.
Step-by-step explanation:
3x – 6 < 3x + 13
Subtract 3x from each side
-6 < -13
This inequality is always true.
There are infinitely many solutions.
After simplifying the inequality, it becomes apparent that it holds true for all values of x. Therefore, there are infinitely many solutions to this inequality.
Explanation:To solve the inequality 3x – 6 < 3x + 13, we need to isolate the variable x on one side. However, when we attempt to subtract 3x from both sides to move the terms involving x to one side, we are left with – 6 < 13 which is a true statement, but no longer contains the variable x. This means that the inequality holds true for all values of x. Therefore, the solution to the inequality is that there are infinitely many solutions. No matter what value of x you choose, the inequality will always be true.
The eucalyptus is the world's fastest growing tree. It grows an average of 2 1/2 centimeters every day. If a eucalyptus tree is 50 centimeters tall when it is planted, how tall will it be in 5 days?
90 x Y=450
What does Y equal
Answer:
[tex]\Large \boxed{Y=5}[/tex]
Step-by-step explanation:
[tex]\textnormal{First, divide by 90 from both sides of the equation.}[/tex]
[tex]\displaystyle \frac{90y}{90}=\frac{450}{90}[/tex]
[tex]\textnormal{Solve to find the answer.}[/tex]
[tex]\displaystyle 450\div90=5[/tex]
[tex]\displaystyle y=5[/tex], which is our answer.
Hope this helps!
The value of Y in the equation '90 x Y = 450' can be found by isolating Y. This is done by dividing both sides of the equation by 90. Hence, Y equals 5.
Explanation:In the mathematical equation
90 x Y = 450
, we are being asked to solve for Y. To solve for Y, we can use the basic algebraic principle of isolating the variable on one side of the equation. In this case, since we have 90 multiplied by Y equals 450, we want to isolate Y. We can do that by dividing both sides of the equation by 90. The equation now becomes
Y = 450/90
. By performing the division, we find that
Y equals 5
.
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Please hurry i need to turn in this homework , help me please !!
An object is thrown upward at a speed of 58 feet per second by a machine from a height of 7 feet off the ground. The height h of the object after t seconds can be found using the equation h=−16t^2+58t+7
1.When will the height be 17 feet?
2.When will the object reach the ground?
Answer:
First part:
Set h(t) = 17and solve for t.
-16t²+ 58t + 7= 17
-16t² + 58t - 10 = 0
Solve this quadratic equation for t. You should get 2 positive solutions. The lower value is the time to reach 17 on the way up, and the higher value is the time to reach 17 again, on the way down.
Second part:
Set h(t) = 0 and solve the resulting quadratic equation for t. You should get a negative solution (which you can discard), and a positive solution. The latter is your answer.
The Allied Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile. Isaac was charged $27.46 to go from one city to another. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth?
Answer:
Isaac traveled 12.8 miles by taxi for $27.46.
Step-by-step explanation:
The formula required here is
$2.50 + ($1.95/mile)x = $27.46.
We need to solve this for x, the number of miles traveled:
Subtract $2.50 from both sides, obtaining:
($1.95/mile)x = $24.96
Now divide both sides by ($1.95/mile):
$24.96
------------------ = 12.8 miles
($1.95/mile)
Isaac traveled 12.8 miles by taxi for $27.46.
Answer:
1.95x + 2.50 = 27.46; Isaac traveled 12.8 miles.If two lines are parallel, which statement must be true
Answer:
Step-by-step explanation:
If two lines are parallel, their slopes are equal.
Next time, if you are given possible answer choices, please share them.
Answer:
The slopes of the two lines that are parallel, are equal.
Step-by-step explanation:
In order for two or more lines to be parallel their slopes have to be the same.
Can someone please help me out with this I’ve been stuck on it
-9+6
Simplify the expression
Answer:
-3
Step-by-step explanation:
-9+6
=6-9
=-3
Answer:
-3
Step-by-step explanation:
-9+6
- + = -
So this expression will be subtracted.
-9+6 = -3
The answer is negative because greater value has a negative sign....