Answer: 4)y=3x-1
Step-by-step explanation:
The y value relates to the dilatation center, which the line image's equation will be [tex]y = 3x - 1[/tex]. In standard form, [tex]y = mx + b[/tex] y-intercept is represented by the letter b.
Center of dilatation calculation:[tex]y = 3x - 1[/tex] is the equation of a line.
If somehow the line is dilatable by a factor of 2 and centered at [tex](3, 8)[/tex]. To begin with, we must determine the y-value for which [tex]x = 3[/tex].
[tex]y = 3(3) - 1\\\\y = 9 - 1\\\\y = 8[/tex]
This equation of the line image will be [tex]y = 3x - 1[/tex], because the y value is comparable to the center of dilatation.
Learn more about the center of dilation of line here:
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Circle a is defined as (x+5)^2 + (y+6)^2 + 16, and circle b is defined as (x+3)^2+(y+2)^2 =9. Which transformation of circle a shows that circle b is similar?
Answer:
We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)
Step-by-step explanation:
We should apply a translation prior to determine if both circles are similar. If we translate the circle A to the center of the circle B. The translation needed is the vectorial distance between both centers:
[tex]T(x,y) = B(x,y)-A(x,y)[/tex] (1)
Where:
[tex]T(x,y)[/tex] - Translation vector.
[tex]A(x,y)[/tex] - Location of the center of the circle A.
[tex]B(x,y)[/tex] - Location of the center of the circle B.
If we know that [tex]A(x,y) = (-5,-6)[/tex] and [tex]B(x,y) = (-3,-2)[/tex], then the translation vector is:
[tex]T(x,y) = (-3,-2)-(-5,-6)[/tex]
[tex]T(x,y) = (2,4)[/tex]
We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)
Answer:
Step-by-step explanation:D
I need the answer very fast plz hurry
Answer:
2x=110 degree
2y=70 degree
Matteo has &400 in his saving account. On average he spends $10 per week on buying apps. Luca has $200 in his savings account. He is saving $15 a week in order to buy a new Playstation. When will matteo and luca have the same amount of money?
Answer: By the 8th week.
Step-by-step explanation:
Let the time that matteo and luca have the same amount of money be represented by x.
The information given in the question can be formed into an equation as:
400 - 10x = 200 + 15x
Collect like terms
400 - 200 = 15x + 10x
200 = 25x
x = 200/25
x = 8
Matteo and Luca will have the same amount of money by the 8th week.
identify each group of segments that can form a right triangle (double check for me please)
Answer:
Looks good except D should also be clicked.
Step-by-step explanation: 6 squared is 36 and 8 squared is 64. 36+64=100 and 10 squared is 100.
what's the surface area ratio & the volume ratio??
please help me ASAP!!
Answer:
Step-by-step explanation:
Volumes of two spheres A and B = 648 cm³ and 1029 cm³
Things to remember:
1). Scale factor of two objects = [tex]\frac{r_1}{r_2}[/tex] [[tex]r_1[/tex] and [tex]r_2[/tex] are the radii of two circles]
2). Area scale factor = [tex]\frac{(r_1)^2}{(r_2)^2}[/tex]
3). Volume scale factor = [tex]\frac{(r_1)^3}{(r_2)^3}[/tex]
Volume scale factor Or Volume ratio = [tex]\frac{V_A}{V_B}[/tex]
[tex]\frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}[/tex]
[tex]\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }[/tex]
[tex]\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}[/tex]
[tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]
Therefore, scale factor = [tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]
≈ 6 : 7
Area scale factor Or area ratio = [tex](\frac{r_1}{r_2})^2=(\frac{6}{7})^2[/tex]
= [tex]\frac{36}{49}[/tex]
≈ 36 : 49
Volume scale factor or Volume ratio = [tex]\frac{648}{1029}[/tex]
= [tex]\frac{216}{343}[/tex]
≈ 216 : 343
If -3.5 <-3, why is 1-3.5 > 1-31?
Answer:
3rd option
Step-by-step explanation:
The absolute value function always gives a positive value , that is
| - a | = | a | = a
Then
| - 3.5 | = 3.5 and | - 3 | = 3
and 3.5 > 3
That is | - 3.5 | > | - 3 |
What are the answers to these?
Answer:
XW in the first blank
Z in the second blank
What is the length of line AD?
1
Step-by-step explanation:
i am very beautiful yes i know it
An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, start text, space, c, m, end text. What is the area AAA of the circular cross section of this pipe?
Answer:
314.2 cm²
Step-by-step explanation:
The area of the circular cross section of the pipe is given by A = πd²/4 where d = diameter of pipe = 20 cm
So, A = πd²/4
substituting the value of d into the equation, we have
A = π(20 cm)²/4
A = π400 cm²/4
A = 100π cm²
A = 314.16 cm²
A ≅ 314.2 cm²
Answer:
100pi
Step-by-step explanation:
Would someone mind explaining the Point-Slope form to me? My virtual teacher kind of brushed over it and I am a little confused as to how I should copy it down in my notes so I understand.
Answer:
This picture kind of sums it up
Step-by-step explanation:
The BP station sold gas for $2.49 per gallon. This week their gas prices are $2.61 a gallon. What was the percent increase in gas from last week to this week?
Answer:
.12%
Step-by-step explanation
2.61-2.49= 0.12
.12%
Ginny paid $4.16 for a sandwich. She paid$0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and fruit?
Answer:
$5.11
Step-by-step explanation:
4.16 + 0.95 = 5.11
what is 15 less than or equal to -5x
Answer:
less than tell me if i'm wrong
Mason is laying tiles on his entryway. The tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long. How many tiles will Mason need to buy in order to cover the length of the entryway? Explain.
Answer:
1 2/3
Step-by-step explanation:
7 1/2x2/9
The required number of tiles will be 34 covering the length of the entryway.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
We have been given that the tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long.
We have to determine the number of tiles will he need to buy in order to cover the length of the entryway.
According to the given question, the required solution would be as:
So the number of tiles covering the length of the entryway will be
⇒ 7 1/2 ÷ (2/9)
⇒ 15/2 ÷ (2/9)
⇒ 15/2 / (2/9)
Reciprocal the term in the denominator
⇒ (15/2) x (9/2)
Apply the multiplication operation,
⇒ 135/4
Apply the division operation,
⇒ 34
Thus, the required number of tiles will be 34 covering the length of the entryway.
Learn more about Multiplication operations here:
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#SPJ5
Jake’s mom filled a 2-liter container with juice. Then Jake poured 2 glasses of juice. Each glass had exactly 400 milliliters of juice. How many liters of juice remain in the container?
12.00 liters
1.2 liters
Answer:
1.2
Step-by-step explanation:
1 liter = 1000 milliliters
if there’s two liters, that’s 2000 milliliters. the mom then poured 2 glasses each with 400 milliliters, or 800 milliliters in total. 2000 - 800 = 1200. 1200 milliliters converted into liters = 1.2 liters.
Answer:
1.2 liters
Step-by-step explanation:
Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2
Given:
[tex]a_1=-4[/tex] and [tex]a_n=a_{n-1}+9[/tex] where [tex]n\geq 2[/tex].
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:
[tex]a_n=a_{n-1}+d[/tex]
Where, d is the common difference.
We have,
[tex]a_n=a_{n-1}+9[/tex]
Here, d=9.
The first term of the AP is [tex]a_1=-4[/tex].
The explicit formula for an AP is:
[tex]a_n=a_1+(n-1)d[/tex]
Substituting [tex]a_1=-4[/tex] and [tex]d=9[/tex], we get
[tex]a_n=-4+(n-1)9[/tex]
[tex]a_n=-4+9n-9[/tex]
[tex]a_n=-13+9n[/tex]
Therefore, the required explicit formula for the given sequence is [tex]a_n=-13+9n[/tex].
Please answer the following:
Answer:
Conner's work is correct
Jana's work is incorrect
Step-by-step explanation:
Explanation: While Multiplying, exponents of the same bases gets added and not multiplied.
Here, CONNOR HAS ADDED THE EXPONENTS WHEREAS JANA HAS MULTIPLIED THE EXPONENTS.
In this figure, ST is a line.
What is the value of x?
BTW that says 2/3x
Answer:
x=108 degrees
Step-by-step explanation:
Since ST is a straight line, it measures 180 degrees. This means that x+(2/3)x=180. The simplified version is 5x/3=180. Now, we multiply both sides by 3. The equation becomes 5x=540; which is ultimately x=108.
Answer: x=108 degrees
Step-by-step explanation:
Since ST is a straight line, it measures 180 degrees.
This means that:
x+(2/3)x=180
The simplified version is 5x/3=180. Now, we multiply both sides by 3. The equation becomes 5x=540; which is ultimately x=108.
PLS HELP ILL MARK BRAINLIEST THANK U
Answer:
9,11,16. 4,6,7. 6,8,12
Right. Acute. obtuse
Step-by-step explanation:
obtuse 9,11,16
acute 4,6,7
obtuse 6,8,12
I need help please and thank you ( umm 10 points i think ). thank u
Answer:
D
Step-by-step explanation:
since it tells you y is=1 plug that into the top equation
-1=5x+4
-1=x
and you already have y=-1
so its(-1,-1)
this is simple
since y = -1
y = 5x + 4
-1 = 5x + 4
5x = -5
x = -1
therefore answer is (-1, -1)
To visit his grandmother, Michael takes a motorcycle 3.853.853, point, 85 kilometers and a horse 3.323.323, point, 32 kilometers. In total, the journey takes 50.5450.5450, point, 54 minutes. How many kilometers is Michael's journey in total?
Answer:
7.17 km
Step-by-step explanation:
Given that:
Distance in kilometers traveled by motorcycle = 3.85 km
Distance in kilometers traveled by horse = 3.32 km
Total distance of journey in kilometers /
3.85 km + 3.32 km
= 7.17 kilometers
There are 14 penguins on the rocks. Half as many are swimming. How many are in the water? How many in all?
Answer:
7 penguins are in the water.
21 penguins in all.
Step-by-step explanation:
14 penguins on the rocks.
Half of them equals 7 are in the water swimming.
7 + 14 = 21
7 penguins are in the water.
21 penguins in all.
The number of penguins in water = 7 penguins
The total number of penguins = 21 penguins
Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.
From the information given:
There are 14 penguins on the rock.Half as many are swimming implies that: 7 of them are swimmingThus, the number of penguins in water = 7 penguins
The total number of penguins overall = penguins in water + penguins on the rock
The total number of penguins overall = 7 + 14
The total number of penguins overall = 21 penguins
Learn more about word problems here:
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Write the equation of a line in slope-intercept form with a slope of 10 and passes through (–4, – 25).
Answer:
y = 10x + 15
Step-by-step explanation:
y +25 = 10(x+4)
y = 10x + 40 - 25
y = 10x + 15
874 x 12 - 1,000 · 4³ = ? ajutatima pls
Answer:
-53512
Step-by-step explanation:
874 x 12 - 1,000 · 4³ (We do exponents 1st)
874 x 12 - 1000 x 64 (Multiply 874 with 12, and 1000 with 64)
10488 - 64000
-53512
Solve the equation. Select all that apply.
Answer:
ll
Step-by-step explanation:
square root of 121 is 11 since 11x11=121
what is the coefficient of 7x+13
Answer:
7
Step-by-step explanation:
This is because any number combind with a variable will be considered a coefficient, for example in the equation 4x-13, 4 is the coefficient.
a number is the square root of 16 and also the square root of 2. what is the number?
Answer:
there is nothing like that
Step-by-step explanation:
there is no squre root of2
A meteorologist reports that the chance of snow is less than 30%. The correct inequality to represent this comparison is s < 30. The variable s represents the likelihood of snow. Which numbers are solutions of the inequality? Choose all that apply. 20% 35% 17% 30% 29 and one-half percent% 1.5%
Answer: 20%, 17%, 29%, 1.5%
Step-by-step explanation:
Given
The likelihood of rain is given by the inequality
[tex]s<30[/tex] i.e. solution to this inequality is less than 30%
So, among the given values, the following are the solution
20%, 17%, 29%, 1.5%
These values are less than 30%; therefore, they are the solution
Answer:
20%, 17%, 29 1/2%, and 1.5%.
Step-by-step explanation:
good luck on your other work
Which of these methods will produce the most representative sample of the student body at Southwest Middle School?
A. The librarian surveys all eighth-grade students.
B. The librarian surveys each student who enters the library one afternoon after school.
C. The librarian surveys each student who is in the library for a math club meeting.
D. The librarian randomly selects homeroom classes and surveys each student in the chosen classes.
A;the Liberian survey all eighth-grade students
Answer:
D on Ape.x
Step-by-step explanation:
A rectangle's length is three times its breadth x metres. Write an expression
for the rectangle's:
a) perimeter
b) area
Answer:
1. Perimeter = 8x m
2. Area = 3x² m²
Step-by-step explanation:
From the question given above, the following data were obtained:
Breadth (B) = x m
Length (L) = 3B = 3x m
Perimeter (P) =?
Area(A) =?
1. Determination of the perimeter of the rectangle.
Breadth (B) = x m
Length (L) = 3x m
Perimeter (P) =?
P = 2(L + B)
P = 2(3x + x)
P = 2(4x)
P = 8x m
Thus, the perimeter of the rectangle is 8x m
2. Determination of the area of the rectangle.
Breadth (B) = x m
Length (L) = 3x m
Area(A) =?
A = L × B
A = 3x × x
A = 3x² m²
Thus, the area of the rectangle is 3x² m²
