Answer:
The rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
Step-by-step explanation:
Considering the point
[tex]P(x, y)[/tex]
If we reflect a point [tex]P(x, y)[/tex] across the line [tex]l[/tex] with equation [tex]y = -x[/tex], the coordinates of the point P flips their places and the sign of the coordinates reverses.
Thus, the rule or formula for the transformation of reflection across the line l with equation y = -x will be:
P(x, y) ⇒ P'(-y, -x)
For example, if we reflect a point, let suppose A(1, 3), across the line [tex]l[/tex] with equation [tex]y = -x[/tex], the coordinates of point A flips their places and the sign of the coordinates reverses.
Hence,
A(1, 3) ⇒ A'(-3, -1)
The length of the sides of a square is given by the expression 4.8x + 2.4. Which expression represents the perimeter of the square?
Cody bought ten candy bars for a total of $32.30. How much did each candy bar cost?
Answer:
$3.23
Step-by-step explanation:
Answer:
3.23
Step-by-step explanation:
32.30/10
Please help me with circle theorems
Answer:
x = 38°, y = 68°, z = 55°
Step-by-step explanation:
This would be easier to explain if the vertices were labelled , however
Angles at the circumference of the circle subtended on the same arc are congruent.
x and 38 are subtended on the same arc
y and 68 are subtended on the same arc
z and 55 are subtended on the same arc
Thus
x = 38°, y = 68° and z = 55°
Nadeen bought a magazine for $7.50 and two sandwiches that cost the same price. She spent a total of $20. How much did each sandwich cost?
Answer:
Each sandwich cost $6.25
Step-by-step explanation:
Subtract the price of magazine then divide the remaining amount with 2 since the price of sandwiches same
(20 - 7.5) ÷ 2 = 6.25
Write the equation of the line in Slope Intercept Form; it is currently in Standard Form.
Do not leave ANY spaces in your answer. Example: y=8/3x+7
4x - 3y = 12
Find the measure of the numbered angle.
m∠5 =
Answer:
40°
Step-by-step explanation:
180- (90 + 40) = 50°
Angle 1 = 50°
180 - 50 = 130°
Angle 2 = 130°
180 - 130 = 50°
Angle 3 = 50°
180 - (90 + 50) = 40°
Angle 5 = 40°
OR
the two triangles are similar. Therefore, their angles are congruent. Since the tringle was only flipped and made slightly smaller, angles 9 and 5 are corresponding angles. (Both have the same measure of 40°)
Hope this helps. Have a nice day
Big Henry orders a total of 16 frozen pizzas and burritos. The number of pizzas he orders is three times the number of burritos.
How many of each type of frozen food did he order?
98
98 because 16 x 3 is 48 x 2 is 98
If the point A is located at (2, 3) and A' is the image of A after being rotated about the origin by 90° (counter clockwise). What are the coordinates of A'?
the ratio of the number of left-handed batters in a team to the number of right -handed batters was 5 : 8 there were 45 left-handed batters .
\
a) how many right-handed batters were there?
b) find the ratio of the number of left- handed batters to the total number of batters express youe=r answer in simplest form
Answer:
72 right handed batters.
Step-by-step explanation:
45/5=9
8*9=72
45:72=5:8
Hope this helps.
Answer:
a) 72 right-handed batters
b) 5:13
Step-by-step explanation:
This is the answer because:
1) For problem a, we can see that 5 x 9 = 45. In order to balance the ratio, we also have to mulitply the 8 with a 9:
8 x 9 = 72
Therefore, the answer is 72 right-handed batters.
2) For b, there are two ways to do it. Sine we know that there are 5 left-handed batters, we just add 5 + 8 = 13. Therefore, the simplest form of the ratio is 5:13. Another we can do it is by adding 45 + 72 = 117 (total batters). Then, 45 of them are left-handed batters which means the ratio is 45:117 = 5:13.
Therefore, the answer is 5:13.
Hope this helps! :D
Alice has just discovered base 10 cake! She is delighted with how powerful it is. One day, after nibbling on the cake, Alice realizes she is 1 mile tall. Having her head in the sky makes her think about space travel. She decides she wants to visit the moon, which is about 239,000 miles from the earth. How many more ounces of base 10 cake should Alice eat so the top of her head just touches the moon? Give your answer to the nearest hundredth of an ounce.
Answer:
5.38 ounces
Step-by-step explanation:
Given that :
Alice height = 1 mile
Distance of earth to moon = 239000 miles
Number of base 10 cakes required so they Alice's head just touches the moon ;
Using the relation :
Distance = height per ounce * 10^number of ounces
Height per ounce = 1 mile ;
Let number of ounces = n
Hence,
239000 = 1 * 10^n
239000 = 10^n
Take log of both sides
Log(239000) = n
5.3783979 = n
5.3784 = n
Hence, Alice should take 5.38 ounces of base 10 cakes
Liam puts $50 in savings in March and 150% of this amount in savings in April.
How much does Liam put in savings in April?
Answer:
150% of 50 is 75, so the answer would be $75.
Step-by-step explanation:
The area of a rectangle is represented by the expression 16m - 24. Which expression shows a factored version of the Area, one that shows the length and the width.
Answer: 8(2m-3)
Step-by-step explanation:
The bowl has a diameter of 10 inches. What is its radius?
The bowl has a of 5 inches.
What is the relation between radius and diameter?The diameter is the measurement along the circle's widest point. Thus, that is the circle's diameter. It is pretty simply related to the radius. The radius divided by two gives the diameter.
Given
d = 10 inches
d = 2r
r = d/2 = 10/2 = 5
To know more about relation between radius and diameter refer to :
https://brainly.com/question/23220731
#SPJ2
Please help me out!!!!!
Answer:
Option C is your answer with the y intercept of -4 and x as 4 Please slow down on posting questions. This seems like your posting an exam.PLEASE HELP!!! Stacy’s bill at IHOP was $23.15. How much will she spend altogether if she leaves a 20% tip
Answer: $27.78
Brainliest?
Step-by-step explanation:
20% of 23.15
can be found by doing: 0.2 x 23.15 = 4.63
Add 23.15 and 4.63 = 27.78
Marsha is changing her phone
service. One data package charges
an initial fee of $50 and $13.25 per
month. The other has no initial fee
but charges $25.75 per month for
the same data package. After how
many months would Marsha have
paid the same amount for either
data package?
Someone help me plz quickly
month 4: 13.25*4=53. 53+50 = 103
month 4: 25.75*4 = 103
They both cost $103 on month 4
Given lines p and q are parallel, find the value of x that makes each diagram true.
Answer: for a the answer is 140° and for b x=25°
Step-by-step explanation:
for a, when you have 2 parallel lines cut by a transversal,the corresponding angles are congruent. and the angle140 is congruent to the corresponding angle as they are vertical angles are congruent.
for b, angle x is congruent to the angle that is supplementary to 155 therefore 180-155=25°
Joe earns $425 a week for working 40 hours and an additional $20 an hour for each hour over 40. Last week, Joe made $485. Write and solve an equation to determine how many hours over 40 he worked. (Don't forget to define your variable and answer in a complete sentence.) How many total hours did Joe work last week?
Answer:
Joe worked 3 hours overtime.
Step-by-step explanation:
Let t = number of hours overworked
425 + 20 × t = 485
425 + 20t = 485
20t = 485 - 425
= 60
[tex]\frac{20t}{20} = \frac{60}{20}[/tex]
t = 3
[tex]\therefore[/tex] Joe worked 3 hours over time.
Hope this helps :)
2. In the formula y = mx + b, what does "m" stand for?
a) y-intercept
b) slope
O C) x-axis
d) y-axis
Answer:
B.)Slope
In the equation y = mx + b for a straight line, the number m is called the slope of the line.
PLEASEE helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
Measure of DE is 12
Step-by-step explanation:
Here, we want to get the measure of DE
We have two similar triangles here
BDE and BAC
if two triangles are similar, then the ratio of their sides are same
Thus, in this case, we proceed as follows;
Now, since DE cuts each side into half;
we can have AB as 2y; then BD as y
Thus, we have that;
BD/DE = AB/AC
y/4x + 4 = 2y/x + 36
2y(4x + 4) = y(x + 36)
2(4x + 4) = x + 36
8x + 8 = x + 36
8x-x = 36-8
7x = 28
x = 28/7
x = 4
recall;
DE is 4x + 4
insert x = 2
DE = 4(2) + 4
DE = 12
HELPPPPPPP!!!!!!!!!!
Answer:
The Second choice y+5=-3/4(x-2
Step-by-step explanation:
4y=3x+8 solve for y so it's y=-3/4x+2
and use the slope which is -3/4
2 = x then 5 = y
you used to pass through formula and plug it in soooo it's
y+5=-3/4(x-2)
sorry if this doesn't make any sense, I'm terrible at explaining
What is the distance between (-1,-3),(1,3)
Answer:
4,4 is the distance
Step-by-step explanation:
cause its 4 squares away for both
Which expression can be used to find 80% of 120?
80% of 120
20%
20%
20%
20%
20%
(0.8) (24)
(0.2) (120)
(0.8) (120)
(0.2) (24)
Answer:
96
Step-by-step explanation:
80÷100×120
96 ,, , ,; , ,
Answer:
(0.8) (120)
Step-by-step explanation:
[tex]80\% \: of \: 120\\\\ = \frac{80}{100} \times 120 \\ \\ = (0.8)(120)\\\\=96[/tex]
Given f(x) = -3x + 3, solve for x when f(x) = 9.
Answer:
x = -2
Step-by-step explanation:
f(x) = -3x + 3
f(x) = 9
-3x + 3 = 9
Subtract 3 from both sides;
-3x = 6
Divide both sides by -3
x = -2
Left on together the cold and hot water faucets of a certain bathtub takes 6 minutes to fill the tub. If it takes the hot water faucet 15 minutes to fill the tub by itself , how long will it take the cold water faucet to fill the tub on its own ?
Answer:
10 minutes
Step-by-step explanation:
We have
1/ hot water faucet + 1/ cold water faucet = 1/6
= 1/15 + 1/c = 1/6
1/c = 1/6 - 1/15
Lowest Common Denominator
= 30
Hence:
1/c = 5 - 2/30
1/c = 3/30
1/c = 1/10
Cross Multiply
c = 10 minutes
Hence, it will take the cold water faucet 10 minutes to fill the tub on its own
Samantha Villegas is making pupusas to raise funds for the 9th grade academy. She goes to numero uno market with $12 to buy some ingredients. Samantha gets flour that cost 7.45. She also needs cabbage to make the curtido the cabbage cost 85 cent per pound. How many pounds of cabbage, for curtido could Samantha buy ?
Answer:
Money she has = 12$ = 12*100 = 1200 Cent
cost of flour = 7.45 $ = 745 Cent
Remaining money = 1200-745 = 455 Cent
cost per pound of cabbage = 85 Cent
Total pound of cabbage that can buy = 455/85 = 5.35 pound
Choose the figure that models 6 divided by 3 over 4.
Use the figure to compute 6 divided by 3 over 4.
Answer:
The third one.
Line b has a slope of
Line c is parallel to line b. What is the slope of line c?
Answer:
[tex]\frac{-5}{9}[/tex]
Step-by-step explanation:
The slope of two parallel lines is the same. As long as the y-intercept is different then, the lines are parallel. Therefore, if the slope of line b is [tex]\frac{-5}{9}[/tex] then the slope of line c must also be [tex]\frac{-5}{9}[/tex].
The slope of a roof is called its pitch. The Parthenon,an Ancient Greek temple, has a roof with the rise of 4 m in a run of 12 m. What is the pitch of the roof?
Answer:
3m
Step-by-step explanation: divide 12m by 4m
20 points!!!! solve it! i will put the picturee
Step-by-step explanation:
The equation is y = 1.5x.
When x = 3, y = 1.5(3) = 4.5.