Answers
Answer:
a = 1
Step-by-step explanation:
The important point here is that both lines are horizontal reflections of each other. If we treat the line x = a as a kind of "mirror" for these lines, every point at the same y value on each line is going to be an equal horizontal distance from that "mirror". If that's confusing, think about how, as you pull your hand away from a mirror, your hand's reflection seems to go deeper into it. As you bring it closer, your reflection gets closer too. And when you're touching the mirror, it seems like your hand and its reflection are touching!
We want to find that "touching" point for the two lines, the intersection, because it'll tell us exactly where our "mirror" - more commonly called the axis of symmetry - is. The point of intersection of any two lines is the point where their equations are exactly equal to each other.
Our equations are y = 3x - 5 and y = 1 - 3x, so setting those two equal to each other and solving for x:
[tex]3x-5=1-3x\\6x=6\\x=1[/tex]
This tells us that the two lines intersect at x = 1, which is exactly our axis of symmetry, so a = 1!
Related Questions
HELP ASAP i need rest
Answers
Answer:
A
Step-by-step explanation:
To know the distance between the two on a number line, we subtract both numbers from each other
Since the absolute value will give the same result irrespective of the number we used first, we can see that it is the first option that would give the needed results
This means that option A is our answer
In example 5, a hot dog stand is located halfway between the shoe store and the pizza shop, at point H. Show that PH=HM.
A park, a shoe store, a pizza shop, and a movie theater are located in order on a city street. The distance between the park and the shoe store is the same as the distance between the pizza shop and the movie theater.
Answers
Answer:
rteiyykykkucouyrilhk,dkrbbvvbnkl
what’s the slope??
thanks if u help :)
Answers
Answer:
1/2
Step-by-step explanation:
1/2
Answer:
1/2 or The rise is 1 and the run is 2.
I WILL GIVE YOU BRAINLY PLSS
There are 256 vehicles in a car dealership’s lot. At least 113 of them are hybrid
vehicles. Which inequality describes how many vehicles, at most, are not hybrid?
A. ≤ 143
B. 143
D. ≥ 143
PLSS SHOW YOUR WORK PLSS
Answers
Answer: A
Step-by-step explanation:
There are 3 teachers to 125 pupils during the school program. How many teachers were
there if there were 2 500 pupils
Answers
Answer:
There were 60 teachers.
Step-by-step explanation:
☆We can use proportion to solve this!
[tex] \frac{3 \: teachers}{125 \: pupils} = \frac{x}{2500 \: pupils} \\ \\ \frac{125x}{125} = \frac{7500}{125} \\ \\ x = 60[/tex]
When 80 is decreased by 15%, the new number is
Answers
Answer:68
Step-by-step explanation:
Percentage decrease = 15% × 80
New value =
80 - Percentage decrease =
80 - (15% × 80) =
80 - 15% × 80 =
(1 - 15%) × 80 =
(100% - 15%) × 80 =
85% × 80 =
85 ÷ 100 × 80 =
85 × 80 ÷ 100 =
6,800 ÷ 100 =
68
A Jacket is on sale at 15% off the original price of $68 what is the sale price
Answers
Answer:
around 57
Step-by-step explanation:
need a quick answer please
Answers
Answer:
x=7
Step-by-step explanation:
(12x+1))+(5x-3)=117
conbine like terms
17x-2=117
+2 +2
17x=119
/17 /17
x=7
HELP ILL MARK YOU BRAINLIST write in y=mx+b form HELP ILL MARK YOU BRAINLIST write in y=mx+b form
Answers
What is the x intercept of the line below?
Answers
Answer:
There is no x intercept
Step-by-step explanation:
Answer:
no x intercept
Step-by-step explanation:
it is parallel with the x axis. They will never touch
The value of (a–1)+92 - +24,5 " when a= 2 and b=-1
Answers
Answer:
256271
Step-by-step explanation:
6165253-6728282-289292
A football player has made 80% of the field goals he has attempted in his career. If he
attempts 45 field goals in a season, how many would he be expected to make?
PLEASE ANWSER SERIOUSLY
Answers
Answer:
im pretty sure its 56.25 cus 45= 80% of 56.25
Step-by-step explanation:
please help it is due at 4:15
Answers
Answer:
$2720
Step-by-step explanation:
Interest = P×R×T /100
= 2000×12×3 /100
=72000/100 = $720
Amount = Principal + Interest
= $2000+$720 =$2720
find the distance between a and b
Answers
Answer:
5 letters distance
Step-by-step explanation:
HEELLPPP!!!!! fastttt plzzzzz!
The sales for products sold at an electronic store are below. What percent of the products sold were speakers?
Answers
Answer:
6.00%
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Abby sold 152 copies of a CD she made for $13.99 each. If she earns 33% profit from each CD,about how much profit will she earn in all?
Answers
Answer:
$701.74
Step-by-step explanation:
33% of 13.99 is 4.6167
4.6167 x 152 is 701.7384
Rounding the thousandth gives you 701.74
Therefore the answer is $701.74
what fraction is equal to 60% please helpp
A. 1/6
B. 3/5
C. 3/4
D. 5/6
Answers
Answer: B
Step-by-step explanation:
3/5 = 0.6
0.6 x 100 = 60%
The blue dot is at what value on the number line?
+
+
3
+
9
?
Answers
Answer:
it is answer is -3,
please mark brainlest
Answer:
It's -3
Step-by-step explanation:
You subtract by 3 every time you go down the number line. So if the highlighted line is 2 lines from 3 it is -3.
a teacher buys all 5 books. She pays with a $100 bill. How much change should she get
Answers
Answer:
how much are the books. ????
Answer:
How much does each book cost?
Henry planted 24 tomato plants and 18 green bean plants in his garden. Simon planted 30 tomato plants and 25 green bean plants in his garden.
The ratio of tomato plants to green bean plants is
A. the same or B. different for the two gardens.
Answers
Answer:
Its different.
Step-by-step explanation:
Henry's garden:
divide 24 and 18 by 6: you get 4:3 ratio of tomato:green bean
Simon's garden:
divide both 30 and 25 by 5: you get 6:5 ratio of tomato:green bean.
what is the volume of this figure ?
A) 3x2x6
B)6x8x2
C)8x2x3
D)3x2x8x6
Answers
Answer:
Step-by-step explanation:
since the hypotenuse of 6 cm is shorter than the base of 8 cm there is something wrong with this drawing. The box can't be square so maybe answer C is good but.. since this box isn't a right angled box.. we really don't know. This is a bad question b/c it's making the appearance of being a right angle but it can not be. Like an Escher drawing.. not possible irl
The volume of the rectangular prism is 8×2×3 cubic in or 48 cubics in option (B) 8×2×3 cubic in is correct.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
The missing height of the rectangular prism is 3 cm
It is given that:
The rectangular prism is shown in the picture with dimensions.
As we know, the volume of the rectangular prism is given by:
V = length×width×height
Length = 2 cm
Width = 8 cm
Height = 3 cm
The volume of this figure:
V = 2×8×3
Or
The volume of this figure V = 8×2×3 cubic in
Thus, the volume of the rectangular prism or the volume of the figure is 8×2×3 cubic in or 48 cubics in option (B) 8×2×3 cubic in is correct.
Learn more about the rectangular prism here:
brainly.com/question/21308574
#SPJ2
Tasha believes that she can rewrite the differences 48-36 as a product of the GCF of the two numbers and another difference. Is she correct?
Answers
Answer:
Tasha is correct
Step-by-step explanation:
Answer:
Yes she is correct.
Step-by-step explanation:
Show that 4x - x? – 7 is always
negative.
Help
Answers
Question No 7
Answer:
Please check the explanation.
Step-by-step explanation:
Show that 4x - x² - 7 is always negative.
Given
4x - x² - 7
4x - x² - 7 is always negative because:
-x²-7 will alwas be negative for all the values of x, The value of - x² - 7 will always be less than 4x for all the values of xHence, 4x - x² - 7 is always negative
For example,
let suppose we enter x = 1
[tex]4(1)-1^{2} -7\\=4-1-7\\=4-8\\=-4[/tex]
let suppose we enter x = -1
[tex]4(-1)-(-1)^{2} - 7\\= -4 - 1 - 7\\= -12[/tex]
The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.
Please help!!!
Answers
Answer:
The first angle is the smallest
Step-by-step explanation:
Step one:
given data
Angle 1= x+37
Angle 2= 90
angle 3= x+67
We know that the sum of angle in a triangle is 180
so
x+3+90+x+67= 180
collect like terms
2x+160= 180
2x=180-160
2x= 20
divide both sides by 2
x= 10
Step two:
so
Angle 1= 10+37= 47 °
Angle 2= 90= 90
angle 3= 10+67= 77 °
Please help me, thank you
Answers
Just divide 1,300 by 5.
260 would be your answer. If you want an explanation, if you think about the term 100%, that's the total at the time. Amplifying that 100% by five would practically mean five times the amount of 100%, so 500%. You're just multiplying the amount of bunnies at the time by 5. (500% in decimal form is 5)
A powerful computer is purchased for $2500, but loses 18% of its value each year. How much will it be
worth 4 years from now?
Answers
Answer:
$1130.30
Step-by-step explanation:
Step one:
given data
cost of computer= $2500
rate of loss per year= 18%
time t= 4 years
Step two:
let us computer the loss per year
Year 1 loss
worth= 2500- 2500*0.18
worth= 2500-450
worth= $2050
Year 2 loss
worth= 2050- 2050*0.18
worth= 2050-369
worth= $1681
Year 3 loss
worth= 1681- 1681*0.18
worth= 1681-302.58
worth= $1378.42
Year 4 loss
worth= 1378.42- 1378.42*0.18
worth= 1378.42-248.1156
worth= $1130.30
The variables Y and X have a proportional relationship andY equals 15 when x=3. What is the value of X when Y =4?
Answers
Answer:
4/5 or 0.8
Step-by-step explanation:
y and x is directly proportional so when one increases the other also increases
the scale factor is 15/3 equals 5
so y is 4, x times 5 equals 4, which we rearrange to give 4/5 or 0.8
What do I have to multiply 5/6 by to get an equivalent fraction
Answers
Answer:
you multiply 5/6 5 times to git 4
Step-by-step explanation:
Binda is working on an art project that requires 32 feet of ribbon. She has 17 1/2 feet of ribbon, but needs to purchase more ribbon to have enough to finish her art project. All of the ribbon will be cut into piece that are 1/4 foot long. Write and solve an equation that can be used to determine the number of feet of ribbon, x, that Binda needs to purchase to finish her art. How many 1/4 foot pieces of ribbon can Binda make from all 32 feet of ribbon?
Answers
Answer:
x + 17.5 = 32 (subtract 17.5 from 32 to get your answer)
14.5 feet of ribbon Binda needs to purchase
32 / 0.25 = 128 pieces of 1/4 foot ribbon
Answer:
x + 17.5 = 32 (subtract 17.5 from 32 to get your answer)
14.5 feet of ribbon Binda needs to purchase
32 / 0.25 = 128 pieces of 1/4 foot ribbon
Step-by-step explanation:
What is the value of the expression 5ab - 2c, where a = 2, b = 3 and c=0?
A 8
B 28
C 30
D 503
Answers
Answer:
30
Step-by-step explanation:
5*2*3-2*0 ( when we multiply any number with zero then the result is also zero)
30-0
30