Answers
Answer:
Draw a line segment from (-7, -2) to (3, 8)
See the diagram below.
You do not have to draw the blue dashed line. It's there to show how the points reflect over.
=========================================================
Explanation:
The inverse will have us swap x and y. The point (x,y) becomes (y,x)
The endpoint (-2, -7) becomes (-7, -2)
Also (8,3) moves to (3, 8)
Visually, these points are being reflected over the line y = x to form the inverse. We only need to worry about the endpoints because 2 points is the minimum needed to form a straight line.
Check out the diagram below. The red segment is the inverse. The blue dashed line is the line y = x. You don't have to plot this line as it's just a visual tool to see what's going on. Your teacher likely will only want the red segment.
Since the original segment is parallel to y = x, the inverse is also parallel to the mirror line. All three lines are parallel.
Related Questions
please help mee, (20 points will give brainliest!!!)
Answers
Answer:
A) 48
B) -30
Step-by-step explanation:
Hello!
Part ATo compute f(-1) and f(5), we simply replace x with -1 and -5.
Calculate[tex]f(-1) + f(5)[/tex][tex]((-1)^2 - 1 + 9)+ (5^2 +5 + 9)[/tex][tex](9)+(39)[/tex][tex]48[/tex]The answer to A is 48
Part BWe have the values for f(-1) and f(5), so we just switch the operation
[tex](9) - (39)[/tex][tex]-30[/tex]The answer to B is -30
The image of ABC is A'B'C. What transformations would result in this image?
ABC is rotated 180° around the origin, then T: ( x, y) → ( x - 1, y - 1).
ABC is reflected over the line x = 1, then is reflected over the line y = -1.
ABC is rotated -90° around the point, then T: ( x, y) → ( x + 5, y + 3).
ABC is rotated -90° around the origin, then T: ( x, y) → ( x + 5, y - 1).
(multi choice)
Answers
Triangle ABC was rotated 90° around the point, then translated using the rule (x, y) → ( x + 5, y + 3) to form triangle A'B'C'.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and translation.
Triangle ABC was rotated 90° around the point B, then translated using the rule (x, y) → ( x + 5, y + 3) to form triangle A'B'C'.
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What is the approximate area of the circle shown below?
60 cm C
A. 11,310 cm²
B. 94 cm²
C. 2827 cm²
D. 188 cm²
Answers
How do I solve this?
Answers
Answer:
x = 4
Step-by-step explanation:
The figure in the picture is a parallelogram. In parallelograms diagonals bisect each other. That means that they divide each other in half. That means that 6x + 1 is the same as 4x + 9.
6x + 1 = 4x + 9
2x + 1 = 9
2x = 8
x = 4
Can someone pls help me with this fast thank you
Answers
Answer: Yes
Step-by-step explanation:
[tex]\frac{123}{2}=\frac{246}{4}=\frac{369}{6}=\frac{492}{8}=61.5[/tex].
Since the ratio of distance in miles and the time in hours is constant, the relationship is proportional.
Given that the sum to infinity of a G.P. is 10. If the first term of the series is given as 5, determine the 3rd term.
Answers
Answer:
a₃ = 1.25
Step-by-step explanation:
the sum to infinity is calculated as
S ∞ = [tex]\frac{a_{1} }{1-r}[/tex]
a₁ is the first term and r the common ratio
given a₁ = 5 and S∞ = 10 , then
10 = [tex]\frac{5}{1-r}[/tex] ( multiply both sides by (1 - r)
10(1 - r) = 5
10 - 10r = 5 ( subtract 10 from both sides )
- 10r = - 5 ( divide both sides by - 10 )
r = 0.5
then
a₂ = a₁ × r = 5 × 0.5 = 2.5
a₃ = a₂ × r = 2.5 × 0.5 = 1.25
Angle AMO is 50 degrees. If ray MB bisects angle AMO, what would be the measure of angle AMB?
Answers
Linear equations in two variables
Graph y = -4 then explain why it is not a function, can somone ELI5
Answers
Answer:
y=-4 is a function
Step-by-step explanation:
It passes the vertical line test, and each x has only one y, so it is a function.
x = -4 is NOT a function because one x has multiple y values. It does not pass the vertical line test.
I need a written answer for all three questions please.
Answers
The values of the trigonometry ratios are:
cos α = - 5/13 and cot α = 5/12cot α = -5/12 and sec α = 13/5How to solve the trigonometry ratios?1: sin α = -12/13 and tan α > 0, find cos α and cot α
Because tan α > 0, then it means that cos α and sin α are negative
So, we have:
sin²α + cos²α = 1
Substitute sin α = -12/13
(-12/13)² + cos²α = 1
This gives
cos²α = 1 - (-12/13)²
Evaluate the squares
cos²α = 1 - 144/169
Evaluate the difference
cos²α = 25/169
Take the square root of both sides
cos α = - 5/13
The cotangent ratio is represented as:
cot α = cos α/sin α
This gives
cot α = (-5/13)/(-12/13)
Evaluate
cot α = 5/12
Hence, cos α = - 5/13 and cot α = 5/12
2: tan α = -12/5 for α in quadrant IV, find sec α and cot α
Because α is in quadrant IV, then it means that sec α is positive
cot α = 1/tan α
This gives
cot α = 1/(-12/5)
Evaluate
cot α = -5/12
Also, we have:
sec²α = 1 + tan²α
Substitute tan α = -12/5
sec²α = 1 + (-12/5)²
Evaluate the squares
sec²α = 1 + 144/25
Evaluate the sum
sec²α = 169/25
Take the square root of both sides
sec α = 13/5
Hence, cot α = -5/12 and sec α = 13/5
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What is the solution to –2(8x – 4) < 2x + 5?
x > x is greater than StartFraction 1 Over 6 EndFraction.
x < x is less than StartFraction 1 Over 6 EndFraction.
x > 6
x < 6
Answers
The solution to the inequality, -2(8x – 4) < 2x + 5, is: B. x > 1/6.
How to Find the Solution of an Inequality?To find the solution to an inequality, solve the inequality to isolate the variable.
Given the inequality, -2(8x – 4) < 2x + 5, open the bracket:
-16x + 8 < 2x + 5
Combine like terms
-16x - 2x < -8 + 5
-18x < -3
Divide both sides by -18 then reverse < to >
-18x/-18 > -3/-18
x > 1/6
The solution is: B. x > 1/6
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Jej pls help i need help thank you
Answers
Answer:
Largest total : [tex]\mathsf {\frac{69}{20}}[/tex]
Smallest total : [tex]\mathsf {\frac{121}{40} }[/tex]
Step-by-step explanation:
Finding the largest total :
The greatest 2 numbers are 7/4 and 1 7/10⇒ 7/4 + 1 7/10⇒ 7/4 + 17/10⇒ 35/20 + 34/20⇒ 69/20Finding the smallest total :
⇒ 1 3/8 + 33/20⇒ 11/8 + 33/20⇒ 55/40 + 66/40⇒ 121/40Answer:
Largest Totals : 69/20
Smallest Totals : 121/40
Step-by-step explanation:
Given:
Charlie adds together two of his four number cards. Find the largest and smallest totals that Charlie can make. Give your answers as improper fractions in their simplest form.
Solve:
First let change all to improper fractions:
7/4 {already a improper fractions}
1 3/8 = 11/8
1 7/10 = 17/10
33/20 {already a improper fractions}
Thus we have:
7/4
11/8
17/10
33/20
According to the solving above ,
⇒ 70/40 , 55/40, 68/40, 66/40
⇒ 70/40 > 68/40 > 66/40 > 55/40
⇒ 7/4 > 1 7/10 > 33/20 > 1 3/8
⇒ Largest Totals : 7/4 + 1 7/10 = 69/20 = 3 9/20
⇒ Smallest Totals : 33/20 + 1 3/8 = 121/40 = 3 1/40
Since, it says given your answers as improper fractions in their simplest form:
Thus,
Largest Totals : 69/20
Smallest Totals : 121/40
RevyBreeze
Using the basic identities, find the value of cosΘ if cotΘ = -12/5.
Answers
Step-by-step explanation:
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a motorcyclist riding North along a straight road at 50 km per hour observes that the wind appeared to have a velocity of 50 km per hour from the direction North 60 degrees West what is the velocity of the wind.
Answers
The velocity of the wind will be 50 km per hour.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
A motorcyclist riding North along a straight road at 50 km per hour observes that the wind appeared to have a velocity of 50 km per hour from the direction North 60 degrees West.
Then the velocity of the wind will be
Let x be the speed of the wind. Then we have
x² = 50² + 50² - 2 x 50 x 50 x cos 60°
x² = 2500 + 2500 - 2500
x² = 2500
x = 50 km per hour
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Which of the following represents the synthetic division form of the long division problem below? (2x ^ 3 - 6x ^ 2 + 4x + 7)/(x + 3)
Answers
(28÷4)+3+6x5
tell accordingly the correct answer will be marked as brainliest answer
Answers
P: Parenthesis
So this is our first step:
28 / 4 = 7
Next step: Simplify.
7 + 3 + 6 x 5
Then: E stands for Exponents but we have none so we can move on.
M stands for Multiply so we have our next step:
6 x 5 = 30
Now: Simplify.
7 + 3 + 30
Now that we have a simple equation, we can add the values to get our answer.
7 + 3 = 10
10 + 30 = 40
Therefore, your answer is 40. Whenever you see problems like this, be sure to use PEMDAS for a faster and more accurate evaluation.
Your final answer: 40.
If triangle RST is within Quadrant 2 and csc T = 13/12, what is the value of cotT?
Answers
Answer:
[tex]\boxed {cot T = -\frac{5}{12}}[/tex]
Step-by-step explanation:
Finding the missing side :
x² = 13² - 12²x² = 169 - 144x = √25x = 5Taking the cot value :
cot T = adjacent / oppositecot T = -5/12 (As cot is negative in Quadrant 2)Answer:
csc T =13/12
(cot T)^2=csc^2T -1
Cot T)^2=(13/12)^2-1
(cot. T )^2=169/144-1
(cot T)^2=169-144/144
(cot T)^2=25/144
cot T =√ 25/144
cot T=5/12
where cot is negative in WE
so Cot T=-5/12
Step-by-step explanation:
please mark me as brainlest
Find the value of x. Then find the measure of each labeled angle.
Answers
Answer:
x = 70 and the labeled angles are 110 and 70
Step-by-step explanation:
This is a trapezoid, the bases are parallel.
Since the bases are parallel, given two angles are supplementary and their sum is equal to 180:
x + 40 + x = 180 add like terms
2x + 40 = 180 subtract 40 from both sides
2x = 140 divide both sides by 2
x = 70 and the labeled angles are 110 and 70
a man bought a motor at 400,000 Kenyan shillings in January 1999 it depreciated at a rate of 16% per annum if he value it six months determines its value in January 2003
Answers
The value of the car is January 2003 is $199,148.54.
What is the value of the car?Depreciation is the rate of decline in the value of an asset with the passage of time.
The exponential equation that can be used to determine the value of the car is:
Value of the car = purchase value(1 - rate of decline)^time
400,000 x (1 - 0.16)^(2003 - 1999)
400,000 x (0.84^4) = $199,148.54
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How many cubic feet of dirt are there in a hole that is 3’ deep x 3’ wide x 3’ long?.
Answers
Answer:
27
depth ×breadth×width=3×3×3
= 27
Here is a list of numbers: 3.9 , 7 , 3.3 , 1 , 1.4 , 1.7 , 2.1 , 3.3 , 5.2 State the median. Give your answer as a decimal.
Answers
The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number.
When there are two middle numbers we average them.
We have:
3.9, 7, 3.3, 1, 1.4, 1.7, 2.1, 3.3, 5.2
Let's sort the numbers from the smallest to the largest
1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7
The median is 3.3Answer:
3.3
Step-by-step explanation:
The first thing you have to do is put them in order from least to greatest.
1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7
Check off one from the left side and one from the right side until you are left with the one in the middle.
When you do that, you are left with 3.3
PLEASE HELP I WILL GIVE 20 POINTS
Function g can be thought of as translated (shifted) version of f(x)=x^2
Answers
The steps to simplify the expression -100 ÷ 3 x (-0.6) are shown.
Answers
Answer:
That is the answer for you step 2
Quayleen wants to decorate her Christmas tree. She wants to place the tree on a wooden block covered with coloured paper with picture of Santa Claus on it. She must know the exact quantity of paper to buy for this purpose. If the box has length, breadth and height as 80 cm, 40 cm and 20 cm respectively. How many square sheets of paper of side 40 cm would she require?
Answers
[tex]\bullet\:{\boxed{\tt{\red{{Given :}}}}}[/tex]
• Length of the wooden box [tex](l)[/tex] = 80cm.
• Breadth of the wooden box [tex](b)[/tex] = 40cm.
• Height of the wooden box [tex](h)[/tex] = 20cm.
• Side of the square sheet paper = 40cm.
[tex]\bullet\:{\boxed{\tt{\red{{To : Find :}}}}}[/tex]
The number of sheets required.
[tex] \bullet\:{\boxed{\tt{\red{{Formula \: \: used :}}}}}[/tex]
[tex] \star{\underline{\boxed{{\sf{{{TSA}} = \underline{\underline{{\purple\sf 2(lb+bh+hl)}}}}}}}} \star[/tex]
[tex]\star{\underline{\boxed{{\sf{{{Area \: of \: square}} = \underline{\underline{{\purple{\sf side \times side }}}}}}}}}\star[/tex]
[tex]\star{\underline{\boxed{{\sf{{{Number \: of \: sheets \: required} = {{{\purple{\sf \dfrac{TSA}{area \: of \: one \: sheet}}}}}}}}}}} \star[/tex]
[tex] \bullet\:{\boxed{\tt{\red{{Concept :}}}}}[/tex]
As Quayleen wants to place the tree on a wooden block covered with coloured paper with picture of Santa Claus on it. So for knowing the number of sheets required, we need two things one the TSA and Area of one sheet. Once, we will get the values we will divide them to get the answer. Let's Start !!
[tex] \bullet\:{\boxed{\tt{\red{{Solution :}}}}}[/tex]
As we know that ::
Total surface area of cuboid [tex]\large[ \sf 2(lb+bh + hl)][/tex]
Here,
✧ Length [tex](l)[/tex] = 80cm
✧ Breadth [tex](b)[/tex] = 40cm
✧ Height [tex](h)[/tex] = 20cm
Now, by putting the values we get :
[tex] \longrightarrow 2 \bigg[ (80 \times 40) + (40 \times 20) + (20 \times 80) \bigg]\sf {cm}^{2}[/tex]
[tex]\longrightarrow 2 \bigg[ (3200) + (800) + (1600) \bigg] \sf {cm}^{2} [/tex]
[tex] \longrightarrow 2 \bigg[ 5600 \bigg] \sf {cm}^{2} [/tex]
[tex] \longrightarrow 11200 \: \sf {cm}^{2}[/tex]
Hence, the total surface area of the wooden box is 11200 cm²
Now,
The area of each sheet of paper will be :
[tex] \sf \longrightarrow side \times side[/tex]
[tex]\sf \longrightarrow (40 \times 40) \: {cm}^{2} [/tex]
[tex]\longrightarrow \sf (1600) \: {cm}^{2} [/tex]
Hence, the area of each sheet of paper is 1600 cm²
Now,
For finding the number of sheets required
[tex] \longrightarrow \tt \dfrac{total \: surface \: area \: of \: box}{ area \: of \: one \: sheet} [/tex]
[tex]\longrightarrow \sf\dfrac{ \cancel{11200}_{7}}{\cancel{1600}_{1}}[/tex]
[tex] \longrightarrow \purple{ \sf 7}[/tex]
Therefore, Quayleen requires 7 sheets.
[tex]\rule{280pt}{2pt}[/tex]
Question 9 of 10
A fellow classmate tosses 3 coins and finds that 2 of them come up tails.
Which of the following is the best conclusion for her to come to?
OA. She needs to keep flipping the coins until she gets 50% heads in
order to determine if they are fair.
OB. If she flips the coins once more, they will all come up heads.
OC. The coins are unfair.
OD. This could easily happen with a fair coin after only 3 flips.
Answers
The best conclusion for her to come to: D. this could easily happen with a fair coin after only 3 flips.
What is a fair coin?A fair coin can be defined as an idealized type of coin that has an equal probability of revealing both heads and tails when randomly tossed.
This ultimately implies that, the best conclusion for her to come to is that this could easily happen with a fair coin after only 3 flips considering 2 of the three coins come up tails.
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Which ordered pair would form a proportional relationship with the point graphed below?
Answers
Answer:
(c) (-30, 10)
Step-by-step explanation:
Two points will be on the same graph of a proportional relationship if the ratio of values y/x is the same.
__
The given point (x, y) = (60, -20) has a ratio k = y/x = -20/60 = -1/3.
The offered points have y/x ratios ...
(a) 30/-10 = -3
(b) -15/30 = -1/2
(c) 10/-30 = -1/3 . . . . . . the point you are looking for is (-30, 10)
(d) -30/80 = -3/8
Can someone explain to me #2 I only need #2
Answers
Answer:
in a rectangle, opposite sides are equal in length
Step-by-step explanation:
now in this question, Pythagoras theorem is being used to find the length
we know both sides by using Pythagoras theorem find third side and get the sum to find ac+bd
Step-by-step explanation:
So it tells you that AB = 21 and AD = 28
and you to find what BD + AC is and since BD is the same length as AC
you only need to find one of them, then double it
There is a formula you use called the Pythagorean theorem
The Pythagorean theorem is A²+B²=C²
In this problem A = 21 B = 28 and C = the length of BD
so it'll look like 21²+28²=Length of BD² or BD²=21²+28² now you find BD
first do 21²+28² --> 441+784 --> 1225 Now you know that 21²+28²=1225
so BD²=1225 Then to find BD, you find √1225(square root of 1225)
Which is 35 So BD=35 and you want to know what BD+AC is
so 35+35=70
What is the inverse of the fraction FX = 1/4 x = -12
Answers
The inverse function of the function f(x) will be f⁻¹(x) = 4x + 48. Then the correct option is D.
The complete question is attached below.
What is inverse of a function?Suppose that the given function is
f: X → Y
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
f⁻¹: Y → X
It simply means, inverse of 'f' is an undo operator, that takes back the effect of 'f'
The function is given below.
f(x) = (1/4)x – 12
Then the inverse function of the function f(x) will be
(1/4)f⁻¹(x) - 12 = x
f⁻¹(x) = 4x + 48
Then the correct option is D.
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The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.
Write the function in standard form.
f(x) = 5x2 + 40x
Factor a out of the first two terms.
1(x) = 5(x2 + 8x)
Form a perfect square trinomial.
(%) =16
1(x) = 5(x2 + 8x + 16) -5(16)
What is the function written in vertex form?
® f(x) = 5(x + 4) -80
® f(x) = 5(x + 8) - 80
O f(x) = 5(x + 4)2 - 80
• f(x) = 5(x + 8) - 80
Answers
Answer: Choice C [tex]f(x) = 5(x+4)^2 - 80[/tex]
======================================================
Reason:
The expression [tex]x^2+8x+16[/tex] factors to [tex](x+4)^2[/tex] using the perfect square trinomial formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex]. In this case, a = x and b = 4.
The -5(16) simplifies to -80
Therefore, [tex]5(x^2+8x+16) - 5(16)[/tex] turns into [tex]5(x+4)^2 - 80[/tex]
Compare this to [tex]a(x-h)^2 + k[/tex] to see that h = -4 and k = -80. The vertex is located at (h,k) = (-4, -80)
Answer:
c) 5(x+4)² - 80
Step-by-step explanation:
You have already gotten the third (second-last) step for finding the vertex as follows:
f(x) = 5(x² + 8x + 16) -5(16)
= 5(x+4)² - 80
Additional remarks: to find the vertex, you can just use find the value of x when x+4 = 0, meaning x = -4 and y = -80. Hence, the vertex is (-4, -80).
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In triangle QRS, angle Q measures 33.7°, angle R measures 52.3°, and angle S measures 94°. Based on the information that is provided, which could be a correct set of sides for this set of angles?
side QR = 7 cm , side RS = 10 cm , side QS = 12.6 cm
side QR = 10 cm, side RS = 7 cm, side QS = 12.6 cm
side QR = 12.6 cm, side RS = 10 cm, side QS = 7 cm
side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm
Answers
Answer:
side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm
Step-by-step explanation:
The side opposite to biggest angle is the longest side
In ΔQRS,
∠S > ∠R > ∠Q
∠S is the biggest and ∠ Q is the smallest angle.
So, the side opposite to ∠S, QR is the longest side and the side opposite o ∠Q , RS is the smallest side.
QR > QS > RS
QR = 12.6 cm ; QS = 10 cm and RS = 7 cm
If x + y = 2 and x - y = 6, solve for x and y.
Answers
Answer:
Step-by-step explanation:
Givens
x + y = 2
x - y = 6
Solution
Just add the two equations together. The y's will drop out.
x + y = 2
x - y = 6 Add
2x = 8 Divide by 2
2x/2 = 8/2 Combine
x = 4 Substitute x = 4 into the top equation
x + y = 2
4 + y = 2 Subtract 4 from both sides
4-4+y=2-4 Combine
y = - 2
Answer
x = 4
y = -2
