9514 1404 393
Answer:
(b) Line SW has an undefined slope.
(c) Line TV has a slope of 0.
(d) Lines RS and TV are parallel.
Step-by-step explanation:
A horizontal line has 0 slope. Lines RS and TV are horizontal, hence are parallel and have 0 slope.
A vertical line has undefined slope. Line SW is vertical, hence has undefined slope.
Answer:
B,C,D
Step-by-step explanation:
Please, I am begging. I don't understand inverses.
Answer:
0
9
-2
-23
Step-by-step explanation:
a function f(x) defines a y-value for any valid x-value.
that's why it is often written as y = f(x).
the inverse function of an original function just turns the question upside down.
now we want to see for a given y-value of the original function, what was the original x-value to get this y.
therefore we try to transform the original equation that calculates y out of x into one that calculates x out of y.
so, in our example
f(x) = y = -4x - 3
4x + y = -3
4x = -y - 3
x = (-y - 3) / 4
in order to keep the usual terminology with functions also for inverse functions, which are in the end nothing else than functions again, we then name the input variable "x" again, and the result "y".
so, the inverse function is therefore as a function of x
y = (-x - 3) / 4
for x = -3, y = (--3 - 3) / 4 = (3-3) / 4 = 0
when we have y for the inverse function looking for its corresponding x value, then we are investing the inverse function and come back to the original function.
so, for y=-3 of the inverse function that means x=-3 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.
f(-3) = -4×-3 - 3 = 12 - 3 = 9 = x of the inverse function.
for x=5 of the inverse function, y = (-5-3)/4 = -8/4 = -2
for y=5 of the inverse function that means x=5 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.
f(5) = -4×5 - 3 = -20 - 3 = -23 = x of the inverse function.
An apartment has 90 square meters of carpeting. How much is this in square feet? Use the following conversion: 1 square meter is 10.8 square feet.
An explanation on how to do it would also be amazing!
Answer:
Area = 972 square feet
Step-by-step explanation:
Let 90 square meter be = x square feet
Given :
square meter square feet
1 10.8
90 x
[tex]\frac{1}{90} = \frac{10.8}{x}\\\\1 \times x =10.8 \times 90 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ cross \ multiply \ ]\\\\x = 972[/tex]
Therefore , 90 square meter = 972 square feet
state wether the product of √3 and √9 is rational or irrational. explain your answer
√9 is rational and √3 irrational number
What is the first step when factoring the trinomial .,
Answer:
Step 1: Set up a product of two ( ) where each will hold two terms. Step 2: Find the factors that go in the first positions. Step 3: Find the factors that go in the last positions. We need two numbers whose product is 9 and sum is 2.p explanation:
Answer:
A❤️✌️❤️✌️❤️Aaaaaa
(03.01 LC)
Which of the following is equal to √3√2? (4 points)
Answer:
D
Step-by-step explanation:
We are given:
[tex]\displaystyle \sqrt{\sqrt[3]{2}}[/tex]
Recall the property:
[tex]\displaystyle \sqrt[b]{x}=x^{1/b}[/tex]
Hence:
[tex]\displaystyle \sqrt{\sqrt[3]{2}}=\sqrt{2^{1/3}}[/tex]
Using the same property:
[tex]\sqrt{2^{1/3}}=(2^{1/3})^{1/2}[/tex]
Recall the property:
[tex](x^a)^b=x^{ab}[/tex]
Hence, multiply:
[tex](2^{1/3})^{1/2}=2^{1/6}[/tex]
Therefore:
[tex]\displaystyle \sqrt{\sqrt[3]{2}}=2^{1/6}[/tex]
Our answer is D.
Answer:
The answer is [tex]2^{\frac{1}{6} }[/tex].
Step-by-step explanation:
To find which answer is equal to [tex]\sqrt{} \sqrt[3]{2}[/tex], start by simplifying [tex]\sqrt{} \sqrt[3]{2}[/tex]. The radical will simplify to [tex]\sqrt[6]{2}[/tex].
An easy way to determine which answer is correct, convert each of the numbers to decimal form.
For [tex]\sqrt[6]{2}[/tex], it will look like 1.122 in decimal form.
For [tex]2^{\frac{2}{3} }[/tex], it will look like 1.587 in decimal form.
For [tex]2^{\frac{3}{2} }[/tex], it will look like 2.828 in decimal form.
For [tex]2^{\frac{1}{3} }[/tex], it will look like 1.260 in decimal form.
For [tex]2^{\frac{1}{6} }[/tex], it will look like 1.122 in decimal form.
Then, by seeing which two decimal forms are the same, it causes the answer to be [tex]2^{\frac{1}{6} }[/tex].
Find the area of the circle.
452.16 ft2
37.68 ft2
1808.64 ft2
113.04 ft2
Answer:
113.04^2
Step-by-step explanation:
radius = diameter / 2
=12/2
=6 ft
area of circle = πr^2
=3.14 * 6^2
=3.14 *36
=113.04 ft^2
Answer:
[tex]{ \boxed{ \tt{ formular : { \tt{area}} = \pi {r}^{2}}}} \\ { \green{radius = \frac{diameter}{2} = \frac{12}{2}}} \\ area = \frac{22}{7} \times { (\frac{12}{2} )}^{2} \\ { \boxed{area = 113.04 \: {ft}^{2} }} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
solutia reala a ecuatiei 4x la a doua = 6 intregi si 1/4 (dau coroana)
Answer:
x = + 5/4 or x = - 5/4
Step-by-step explanation:
[tex]4 x^2 = 6\frac{1}{4}\\\\4 x^2 = \frac{25}{4}\\\\x^2 =\frac{25}{16}\\\\x = \pm \frac{5}{4}[/tex]
please help me with this question. find the exact circumference of the circle using the given inscribed polygon please help me
53,38
Step-by-step explanation:
x = √15² + 8²
x = √225 + 64
x = √289
x = 17
circle's circumference = π × d
3,14 × 17 = 53,38
Justin was asked to write equations based on the triangle below. So far he has come up with the following equations: Which of the following would be another correct equation?
Answer:
C: tan 60 = √3
Step-by-step explanation:
Let the adjacent part of the triangle be x and let the opposite side be y.
Thus, from trigonometric ratios;
x/10 = cos 60
We are given cos 60 = ½
Thus;
x/10 = ½
x = ½ × 10
x = 5
Similarly;
y/10 = sin 60
Now,from trigonometric relationship we know that; sin 60 = cos 30. Thus;
y/10 = cos 30
We are given cos 30 = (√3)/2
Thus;
y/10 = (√3)/2
y = 10 × (√3)/2
y = 5√3
Since it is a right angle triangle with one angle being 60°, it means the other one is 30° since sum of angles in a triangle is 180°.
Thus;
5/(5√3) = tan 30°
1/√3 = tan 30
Similarly;
5/10 = sin 60°
sin 60° = ½
Also;
tan 60 = (5√3)/5
tan 60 = √3
Also;
sin 30 = 5/10
sin 30 = ½
Looking at the options, the only correct one is Option C
PLZ HELP ASAP DUE IN 10 MINS I WILL MARK BRAINLIEST!!!!
Answer:
15/8
Step-by-step explanation:
Applying
tanθ = Opposite(O)/Adjacent(A)
tanθ = O/A............ Equation 1
From the diagram,
To get the opposite(O), we apply pythagoras theorem
a² = b²+c²
Where c = opposite
17² = 8²+c²
289 = 64+c²
c² = 289-64
c² = 225
c = √225
c = 15
Substitute into equation 1
Therefore,
tanθ = 15/8
Hence the exact value of tanθ is 15/8
1. Convert the quinary number 42 into binary number.
Answer:
42 in binary number is 101010.
PLEASE HELP IM SORRY THE PIC IS BLURRY I NEED TO PASS SUMMER SCHOOL
Aswer:
c represnt the function hope it helps you make me brainlest pls
plz help me I'm literally about to cry
Answer:
[tex](2,4)[/tex]
Step-by-step explanation:
Hope it is helpful...
Select the choice that follows the correct sequence of steps in solving this inequality.
-1/2y - 1 < or equal to 3
Answer:
what are the choices?? if you don't mind me asking
A 3050 foot long road travels directly up a 550 foot tall hill. Select the equation that can be used to solve for the angle of elevation (0) from the bottom of the hill.
Answer:
d is the answer ✌sin ०=3000/3050
The length of the rectangle, in feet, is represented by (5x + 4). Find the perimeter of the rectangle.
need help with this Q&A 3
Answer:
the second option
yes, because they are similar triangles
Step-by-step explanation:
the scaling factor is 3
3×3 = 9
3×7 = 21
so, the ratios of the sides remain the same, and the 90 degree angle remains the same. therefore, just one triangle is larger than the other, but the relative attributes and even the orientation are the same, so yes, since we don't know the absolute coordinates of the corners, indeed, the Hypotenuse of both triangles could be on the same line.
A roll of nickels is worth $2.00. Write and
solve an equation to determine the number
of nickels in a roll.
Answer: 20 nickels to make $2.00
Step-by-step explanation:
Answer:
5x = 200
x=40
Step-by-step explanation:
Mr.Williams drew
△
A
B
C
on a coordinate grid and asked his students to determine the transformations that will result in a transformed figure
△
A
`
B
`
C
`
such that
△
A
`
B
`
C
`
is similar but NOT congruent to
△
A
B
C
.
Two student responses are shown below.
Student 1: Reflect
△
A
B
C
across the y-axis and then dilate it by a scale factor of 1 with the center of dilation at the origin.
Student 2: Dilate
△
A
B
C
by a scale factor of 2 and the center of dilation at the origin and then reflect it across the x-axis.
Which statement is true?
A.
Neither student 1 nor student 2, because dilations and reflections preserve both side lengths and angle measures.
B.
Both student 1 and student 2, because dilations and reflections preserve angle measures but not side lengths.
C.
Only student 2, because dilations preserve angle measures and side lengths are proportional.
D.
Only student 1, because this dilation preserves angle measures and side lengths.
Answer: Answer C , Only student 2, because dilation preserve angle measures and side lengths are proportional
The true statement is only student 2, because dilations preserve angle measures and side lengths are proportional.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.
In Reflection the figure is flipped. In other words, a figure when undergoes reflection becomes it's mirror image.
Dilation preserves the angle measures, so the triangles will be similar.
Reflection, on the other hand, will result in congruent triangles.
Student 1 said that Reflect △ABC across the y-axis and then dilate it by a scale factor of 1 with the center of dilation at the origin.
If the scale factor is 1, then the dilated image will be the same as the original image.
So the resulting triangle will be congruent to the original triangle.
In the case of what student 2 said, scale factor is 2. Triangle is enlarged.
So the resulting image will be similar to the original one.
Hence student 2 is correct.
Learn more about Transformations here :
https://brainly.com/question/1410694
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During a canoeing trip, it takes Raymond 4 hours to paddle 12 miles upstream. It takes him 3 hours to make the return trip paddling downstream. Find the speed of the canoe in still water
Answer:
During a canoeing trip, it takes Raymond 4 hours to paddle 12 miles upstream. It takes him 3 hours to make the return trip paddling downstream. Find the speed of the canoe in still water
Step-by-step explanation:
sorry i dont know
Which region represents the solution to the given system of inequalities?
{y < -1/2x }
[y ≥ 2x+3 }
A
B
C
D
The region D represents the solution of the given system of inequalities.
What is the system of linear inequalities?
A system of linear inequalities is a collection of linear inequalities in the same variables.
How to shade the graph of inequalities?Rearrange the equations so "y" is on the left and everything else on the right. Plot the "y≤ ,y≥ ,y> or y< " line.Shade above the line for a " greater then" and below for the "less than".According to the given equation.
We have system of inequalities.
[tex]y < \frac{-1}{2}x[/tex]
and [tex]y \geq 2x + 3[/tex]
Also, the graph of the inequalities.
Since, y is less than [tex]-\frac{1}{2} x[/tex] shade below the line.
And, for the second inequality.
y is greater than and equal to 2x + 3 therefore, shade the above the line.
So, the common region D we get after the shading.
Hence, region D represents the solution of the given system of inequalities.
Find out more information about system of inequalities:
https://brainly.com/question/19526736
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WILL MARK BRANLIEST
When describing a rotation, what
information must you include?
Answer:
The point you are rotating at (also called the centre of rotation)
The angle of rotation (usually in degrees but I don't know your school)
Direction of the turn
Step-by-step explanation:
help asap please thanks
-pi/4 is the same thing as 7pi/4.
The sine function will get us the y-value we need.
Keep in mind that our y-value will be negative (based on the position of the line), and pi/4 and 3pi/4 will both have positive y-values.
Therefore, the correct expression is sin(7pi/4).
Hope this helps!! :)
help help help help help
Answer:
y = 45
Step-by-step explanation:
y = 9x
input = 5
y = 9(5)
9(5) = 45
y = 45
What is the equation of the following line written in general form? (The y-intercept is 7.)
y
(-2.1)
Answer:
[tex]{ \tt{slope = \frac{7 - 1}{0 - ( - 2)} = 3 }} \\ \\ { \tt{y = mx + c}} \\ { \boxed{ \bf{y = 3x + 7}}}[/tex]
2. What is the mode for the data set 13, 11, 10, 12, 14, 9,
11, 8, 11?
A.10
B. 11
C. 12
D. none of the above
Answer:
11
Step-by-step explanation:
mode is the number that is most frequent
11
Answer:
11
Step-by-step explanation:
Mode means the highest repeated observation in the data set,
Therefore Mode = 11, as 11 has repeated 3 times, the most in the data set
I was doing my khan and i got stuck
6=2(y+2)
Answer:
[tex]y=1[/tex]
Step-by-step explanation:
Given:
[tex]6=2(y+2)[/tex]
Distribute the parenthesis
[tex]6=2y+4[/tex]
Subtract both sides by 4
[tex]2=2y[/tex]
Divide both sides by 2 to get [tex]y[/tex] alone
[tex]1=y[/tex]
Hope this is helpful
PLEASE HELP LAST QUESTION MATH
9514 1404 393
Answer:
A = 48°B = 115°C = 115°D = 67°E = 48°Step-by-step explanation:
A and the angle marked 48° are vertical angles, hence congruent.
A = 48°
B is part of a linear pair with the angle marked 65°, so it is supplementary to that angle.
B = 115°
C is an alternate interior angle with angle B, so is congruent.
C = 115°
D is a vertical angle with the one marked 67°, so is congruent.
D = 67°
E is an alternate exterior angle with the one marked 48°, so is congruent. It is also a corresponding angle with A, so congruent to that as well.
E = 48°
Q- y = 7 is a line which is-(A) Parallel to y-axis (B) Parallel to x-axis (C) Passing through (7, 7) (D) Passing through origin
===================================================
Explanation:
Every point on the line y = 7 has a y coordinate of 7. Two such points are (0,7) and (1,7). The x coordinate can be anything you want. This line is completely horizontal and parallel to the x axis.
We can think of y = 7 as y = 0x+7. It's of the form y = mx+b with m = 0 as the slope and b = 7 as the y intercept.
What are the coordinates of the point on the directed line segment from ( − 10 , 2 ) (−10,2) to ( − 10 , − 5 ) (−10,−5) that partitions the segment into a ratio of 6 to 1?
Answer: [tex](-10,-4)[/tex]
Step-by-step explanation:
Given
The points joining line segment are (-10,2) and (-10,-5)
Using section formula, a point joining segment [tex](x_1,y_1)\ \text{and}\ (x_2,y_2)[/tex] divides it in k:1 has coordinates
[tex]x=\dfrac{kx_2+1\cdot x_1}{k+1}[/tex], [tex]y=\dfrac{ky_2+y_1}{k+1}[/tex]
Ratio is 6:1
Coordinates are
[tex]\Rightarrow x=\dfrac{6(-10)+(-10)}{6+1}\\\\\Rightarrow x=-10[/tex]
[tex]\Rightarrow y=\dfrac{-5(6)+1(2)}{6+1}\\\\\Rightarrow y=\dfrac{-28}{7}\\\\\Rightarrow y=-4[/tex]
Thus, the coordinates are [tex](-10,-4)[/tex]