Answer:
B. A (1, −2) → A ′(−4, −1) → A ″(−1, −1)
Step-by-step explanation:
When you see anything in between <> (let's say <a, b> are the numbers), it basically means <x+a, y+b>.
So if you replace a with -5, b with 1, and x and y with (1, -2) you get...
= (1 + (-5), -2 + 1)
= (1-5, -1)
= (-4, -1) ----------> Those are the coordinates of the new point.
But wait, it says that we now have to translate along the vector <3, 0>
So (-4, -2) become the new (x, y) coordinates and <3, 0> become the new a, b
= (-4+3, -1 + 0)
= (-1, -1)
That means that the coordinates of point A'' are (-1, -1)
Another way you could do this is by combining the two translations to just do one translation. It'll skip over the middle step, but will still give you the correct answer.
You would combine them by adding the translations of the x-coordinates together and the y-coordinates together
= <-5 + 3, 1 + 0 >
= <-2, 1>
Now you translate the point by this vector and...
= (1 - 2, -2 + 1)
= (-1, -1)
Tada! It works!
Therefore, the answer is B.
Help a homie w an extra chromi out
Answer:
(2a + 1)
----------------
(2 - a^2)
Step-by-step explanation:
(2 + 1/a)
----------------
(2/a - a)
Multiply by a/a
(2 + 1/a) *a
----------------
(2/a - a) *a
(2a + 1)
----------------
(2 - a^2)
Hi All,
I have some Maths Questions for you all to have a look at.
Please answer - I am giving 20 points!
I will mark Brainliest as well.
Take care,
Jake
Answer:
a) modal number of teachers in a car is 3
b) median number of teachers in a car is 3
c) mean number of teachers in a car is 2.5
Step-by-step explanation:
modal number is 3 because that is the highest frequency of numbers of carsmedian number is 3 because it is the middle number when you expand the frequency table.mean number is 2.5 because that is the approximate average of all the numbers.which two functions are inverses of each other
Answer:
f(x) = 4x, g(x) = [tex]\frac{1}{4}x[/tex]
Step-by-step explanation:
Inverse function is when you switch the x and the y and solve for x
f(x) = 4x
y = 4x
x = 4y
Now solve for x
y = [tex]\frac{1}{4}x[/tex]
g(x) = [tex]\frac{1}{4}x[/tex]
If you try that with the other functions, none of them work.
Answer:
C. f(x)= 4x, g(x)= 1/4x
Step-by-step explanation:
inverse functions are flipping x and y corrdinates so let's plug in x=1 into f(x) and get y = 4
now plug in x = 4 into g(x) and check if the answer is 1 - yes ,it is!
Examine the diagram.
A triangle has angles A, 60 degrees, 55 degrees. A line is at the top of the triangle and forms angles B, C, and 65 degrees. Angle C is opposite to angle with measure 60 degrees.
The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statement can be made from the diagram?
mAngleB + mAngleC + 55° = 180°
mAngleA + 60° + 55° = 180°
mAngleC = 55°
mAngleA = 55°
Answer:
mAngleA + 60° + 55° = 180°Step-by-step explanation:
As two angles of the triangle are 60° and 55°, the measure of ∠A is:
180° - (60° + 55°) = 65°So the angles C and B measure 60° and 55°.
∠C is opposite to 60°, so is 60° as well, therefore m∠B = 55°
Statements:
mAngleB + mAngleC + 55° = 180°
Incorrect, it gives 170°mAngleA + 60° + 55° = 180°
Correct as mAngleA is 65°mAngleC = 55°
Incorrect, it is 60°mAngleA = 55°
Incorrect, it is 65°Answer: its b
Step-by-step explanation: on edge.
what is the volume of the cone below:
Answer:
D is the correct answer
Step-by-step explanation:
V=πr2h
3=π·52·12
3≈314.15927
Thank me later
Hope this helps!!!
Please someone help me
Answer:
92.4 m^2
Step-by-step explanation:
Area of Trapezoid: h(b1+b2)/2
6.6 (14.2 + 7.6 + 6.2) / 2
= 6.6 (28) / 2
= 184.8/2
= 92.4 m^2
What is the probability that this spinner lands on an even number? Select both the fraction and the percentage
1/2
30%
40%
3/10
50%
10%
4/10
1/10
Answer:
1/2 and 50%
Step-by-step explanation:
5/10 is equal to 1/2 and 50%
In the story “My Wonder Horse”, what key words and phrases does the author use to contrast the “legend” with the actual horse?
Answer:
what is the math?
Step-by-step explanation:
Given: circle: k(O), m∠A = 101° m∠L = 79°, m LK = 122° Find: m AJ
Answer:
m arc AJ = 78°
Step-by-step explanation:
If angle A is 101° that means arc LKJ is 202° (the measure of an arc that an inscribed angle intercepts is twice the angle measure). If arc LKJ is 202° and arc LK is 122°, then arc KJ is 80° (m arc LK + m arc KJ = m arc LKJ).
If angle L is 79°, then the m arc AJK = 158° (the measure of an arc that an inscribed angle intercepts is twice the angle measure). If m arc AJK = 158° and m arc KJ is 80°, then the m arc AJ is 158 - 80 = 78º
edit: i think im right but im not completely sure
edit#2: i checked my answer portal after turning it in and yeah im right
PLS HURRY IM BEING TIMED!!! which graph shows a positive slope?
Answer:
The bottom left one
Step-by-step explanation:
it has a positive slope
Answer:
I’m pretty sure it’s the bottom left corner one
Step-by-step explanation:
The line increases from left to right, so it has a positive slope
If a boy 5 feet tall casts a shadow 14 feet long, what will be the length of the shadow of a tree that is 25 feet high?
Answer:
70 feet
Step-by-step explanation:
This problem can be answered by using proportions based on similar triangles.
Notice that a person and its shadow on the ground form a right angle (therefore they can be considered the two "legs" of a right angle triangle)
The same runs for the tree and its shadow.
Since the inclination of the rays of the sun are the same at the same time for both objects (the boy and the tree), their hypothenuses form the same angles with the ground and therefore belong to similar triangles.
We can create the following proportion to solve for the shadow of the tree (ST) using the information provided: the height of the boy (HB), the shadow of the boy (SB), and the height of the tree (HT)
[tex]\frac{SB}{HB} =\frac{ST}{HT}\\\frac{14}{5} =\frac{ST}{25}\\\frac{ST}{25}=\frac{14}{5} \\ST=\frac{14*25}{5}\\ST=70\,\,ft[/tex]
What is the solution of 4−6x≥−8 A.) x≥2 B.) x≤23 C.) x≤2 D.) x≤−2
Answer: I cant tell which one is a or b or c or d but ill say its b
can someone help me please
Answer:
I THINK its D and E because C can simplify to 2/3 and 1/2 making C wrong.
Step-by-step explanation:
Answer:
B C
Step-by-step explanation:
Find the common denominators
For example: 1/3 [tex]\leq[/tex]4/12
It is 12
3 goes into 12 4 times
so now its
?/12[tex]\leq[/tex]4/12
4*1 is 4 so its
4/12[tex]\leq[/tex]4/12
ANSWER QUICK PLEASE WILL MARK BRAINLIEST!!!!!!
Answer: A is correct
Step-by-step explanation:
They’re the only lines perfectly parallel, I got this correct
Answer:
A is the correct answer
Step-by-step explanation:
A spinner has four equal sections, with one letter from the word "MATH" in each section.
Type your response in each blank below.
1. You spin the spinner 20 times. About how many times do you expect it will land on A?
2. You spin the spinner 80 times. About how many times do you expect it will land on something other than A?
Explain your reasoning.
Answer:
1. 5 times
2. 60 times
Step-by-step explanation:
there is only one a so its 1/4 times 20 and 4 because that is the total
20/4= 5
there is 3 because there is letters that are not a
3/4 times 80
240/4
1. The number of times expected that should be landed on A should be 5 times.
2. The number of times expected should be 60 times.
Calculation of the number of times:1. Since A spinner has four equal sections, with one letter from the word "MATH" in each section.
So, here the number of times should be
= [tex]20\div 4[/tex]
= 5
2. The number of times should be
[tex]= 3/4 \times 80\\\\= 240\div 4[/tex]
= 60
Learn more about spinner here: https://brainly.com/question/9222927
Which of the following values of x is a solution to the equation 5(x-2)+7=37?
Answer:
x = 8
Step-by-step explanation:
5x - 10 + 7 = 37
5x - 3 = 37
5x = 40
x = 8
find points of discontinuity y=x-8/x^2+6x-7
Answer:
Step-by-step explanation:
You'll need to use parentheses here to remove ambiguity regarding what's in your denominators:
x - 8 x - 8
y = ------------------ = -----------------
x^2 + 6x - 7 (x + 7)(x - 1)
This last result becomes undefined at x = -7 and x = 1, and thus its graph is discontinuous at those x- values.
The points of discontinuity is x = -7, x = 1
Use parentheses to remove ambiguity considering the denominators
[tex]y=x-8/x^{2} +6x-7[/tex]
= x-8 ÷ (x+7)(x-1)
The result becomes undefined at x = -7
and x = 1,
thus its graph is discontinuous at those x values.
Therefore the points of discontinuity is x =-7 and x = 1.
Learn more about discontinuity points, refer:
https://brainly.com/question/9553665#SPJ2
What is the volume of the following triangular prism?
5 cm
15 cm
4 cm
cubic centimeters. You must submit your neat and organized work once you have submitted the test.
Write only the number.
10 points need fast
Answer:
[tex]V=150cm^3[/tex]
Step-by-step explanation:
First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.
The area of the triangle is given by the formula:
[tex]A_T=\frac{bh}{2}[/tex]
where b is the base: [tex]b=4cm[/tex] and h is the height: [tex]h=5cm[/tex]
thus, in this case we have:
[tex]A_T=\frac{(4cm)(5cm)}{2}\\ \\A_T=\frac{20cm^2}{2} \\\\A_T=10cm^2[/tex]
And now, the volume will be the area of the triangle multiplied by the length [tex]l=15cm[/tex] of the prism:
[tex]V=A_T*l[/tex]
Substituting the known values:
[tex]V=10cm^2*15cm\\V=150cm^3[/tex]
The volume in cubic centimeters is 150.
solve for 5/8= x-1/9
Answer:
[tex] \dfrac{53}{8} [/tex]
Step-by-step explanation:
[tex] \dfrac{5}{8} = \dfrac{x - 1}{9} [/tex]
Cross multiply.
[tex]8(x - 1) = 9 \times 5[/tex]
[tex] 8x - 8 = 45 [/tex]
[tex] 8x = 53 [/tex]
[tex] x = \dfrac{53}{8} [/tex]
Answer: x = 53/8
Step-by-step explanation:
5/8 = x-1 / 9
45 = 8(x-1)
45 = 8x - 8
-8x = -8 - 45
x = 53/8
I dont know the question to this What is 6÷1/7
Answer:
42
Step-by-step explanation:
6÷(1/7) equals forty two.
Solution,
6/1/7
=6*7/1
=42
Hope it helps
Good luck on your assignment
Can someone please answer b and c please thank you
Answer:
a: 1.8 b: 11.8 c: 23.6
Step-by-step explanation:
Write a specific formula to describe the variation:x varies indirectly with the cube root of y;x=3when y= 125
Answer:
x=15(1/3√y)
Step-by-step explanation:
X varies indirectly with the cube root of y
x=k/3√y
x=3 when y=125
3=k/3√125
3=k/5
3=k(1/5)
k=3÷1/5
k=3×5/1
k=15
x=15(1/3√y)
What is the volume of the cup in gallons
Racquetballs are sealed in a pressurized container to maintain the rebound percentage
of the balls. A racquetball has a rebound percentage of 83% when it is taken out of the
pressurized can. Suppose a racquetball is dropped from a height of 3 meters onto a
racquetball court. Use the rebound rate given to predict the height of the ball after the
first 5 bounces
Answer:
1.182 meters.
Step-by-step explanation:
We have that the initial height is 3 meters, we know that after each rebound it recovers 83% of the original height, therefore:
First bounce:
3 * 0.83 = 2.49
Second bounce:
2.49 * 0.83 = 2.0667
We can deduce a formula here:
hn = 3 * (0.83) ^ n
where is the bounce number, we know that the bounce number that we want to find the height is 5, therefore:
h5 = 3 * (0.83) ^ 5
h5 = 1.182
which means that at the fifth bounce, the height is 1.182 meters.
The line plots show the number of minutes two different age groups of teenagers spent online the previous week.
Select from the drop-down menus to complete each statement.
1) The range is _______.
a) is greater for data set one (13-15-year-olds)
b) is greater for data set two (16 to 18-year-olds)
c) is the same for both sets of data
2) The mean _________.
a) is the same for both sets of data
b) is greater for data set one (13-15-year-olds)
c) is greater for data set two (16 to 18-year-olds)
Answer:
Step-by-step explanation:
13-15 year olds:
Range: 13
Mean: 27.4
16-18 year olds:
Range:24
Mean: 28.05
Therefore,
1) the range is greater for set two
2) the mean is greater for set two as well
Answer:
1. B
2. C
Step-by-step explanation:
(05.06)Which interval on the graph could be described as linear decreasing?
7.
6-
5-
D
B
4.
с
3
A
2.
13
А
ОА
Ов
Ос
OD
Oml fellow FLVS student here, it would be C.:)
Explanation: I got it right lol
In the given graph, interval C could be described as linear decreasing.
What is an interval?"An interval is a set of real numbers that contains all real numbers lying between any two numbers of the set."
In the given graph,
A is the interval(0, 2) where the graph is linear increasing.
B is the interval(2, 4) where the graph is constant.
C is the interval(4, 5) where the graph is linear decreasing.
D is the interval(5, 8) where the graph is linear increasing.
Therefore, the required interval is C.
Learn more about an interval here: https://brainly.com/question/1643786
#SPJ2
What is the equation of a line that goes through the points (-5, 1) and (-4. 6 points
3)?
Can someone please help me with this?
Answer:
The lenght is 8 cm
Step-by-step explanation:
Answer:
8 cm.
Step-by-step explanation:
The area of the square base = volume / height
= 960/15
= 64 cm^2.
So the length of each side of the square base = √64
= 8 cm.
Segment AB falls on line 2x − 4y = 8. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?
They are perpendicular because they have the same slope of −2.
They are perpendicular because they have slopes that are opposite reciprocals of −2 and .
They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept.
They are lines that lie exactly on top of one another because they have the same slope and a different y-intercept.
Answer:
They are perpendicular because they have slopes that are opposite reciprocals of −2 and .Step-by-step explanation:
The given lines are
[tex]2x-4y=8[/tex]
[tex]4x+2y=8[/tex]
Let's rewrite each equation in the form [tex]y=mx+b[/tex]
[tex]2x-4y=8\\2x-8=+4y\\y=\frac{2x-8}{4} \\y=\frac{x}{2}-2[/tex]
[tex]4x+2y=8\\2y=8-4x\\y=\frac{8-4x}{2}\\ y=4-2x[/tex]
Now, let's use the perpendicular rule
[tex]m_{1} \times m_{2} =-1\\\frac{1}{2} \times (-2)=-1 \implies -1=-1[/tex]
As you can observe, the slopes satisfy the perpendicular rule, that means the lines are perpendicular.
Therefore, the right answer is the second choice because it states the rule of perpendicularity between the given lines.
Answer:
They are perpendicular because they have slopes that are opposite reciprocals of −2 and .
Step-by-step explanation:
I took the test and the dot is 1/2
Find the measure of each missing angle
Answer:
See below;
Step-by-step explanation:
Consider the steps below;
[tex]1. Measure of Angle 1 - m< 1 + m< 2 = 180, ( Considering They Form A Linear Pair ) m< 1 + ( 145 ) = 180,\\m< 1 = 35 degrees\\\\2. Measure of Angle 2 - m< 2 = m< 4, ( Considering They Are Vertical Angles ),\\m< 2 = 145 degrees\\\\3. Measure of Angle 3 - m< 3 = m< 1, ( Vertical Angles ),\\m< 3 = 35 degrees\\\\4. By Alternate Interior Angles Theorem - m< 5 = m< 3,\\m< 5 = 35 degrees\\\\5. By Vertical Angles Theorem - m< 6 = m< 4,\\m< 6 = 145 degree\\\\[/tex]
[tex]\\\\\\6. By Corresponding Angles Theorem - m< 7 = m< 3,\\m< 7 = 35 degrees,\\\\7. By Corresponding Angles Theorem - m< 8 = m< 4,\\m< 8 = 145 degrees[/tex]
Thus, we derive such a solution;
m∠ 1 = 35°, m∠ 2 = 145°, m∠ 3 = 35° , m∠ 5 = 35° , m∠ 6 = 145° , m∠ 7 = 35° , m∠ 8 = 145°
