Line n is defined by the equation y = 3x - 5. If line n undergoes a dilation with a scale factor of 3 and center P, which equation will define the image of the line?
A. y = 3x + 13
B. y = 3x - 23
C. y = 9x - 5
D. y = 9x - 15
The required equation for the dilated image of the line is y = 9x - 15. Option D is correct.
What is the scale factor?The scale factor is defined as the ratio of the modified change in length to the original length.
Here,
Line n is defined by the equation y = 3x - 5.
Line n undergoes a dilation with a scale factor of 3 and center P,
Since the dilation of line n with factor 3, increase the slope of a line by 3 times and change the intercept simultaneously.
y = 3(3x - 5)
y = 9x - 15
Thus, the required equation of dilated image of the line is y = 9x - 15.
Learn more about Scale factors here:
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true of false? the slope of thia equation is zero
y=x+5
Answer:
false
Step-by-step explanation:
no solution
I did it on a graph and I think its true?
can I get help please
Answer:
B. 4x-3
Explanation:
Each of the 27 turtles in the pet store needs to be fed. There is one bag of turtle food that weighs 84 ounces. If each turtle gets the same amount of food, how many ounces of turtle food will each turtle get?
3 ounces
3.1 ounces
3.ModifyingAbove 1 with bar
3.12 ounces
Answer:
C
Step-by-step explanation:
Please help me with this question!!
Answer:
y is 8
Step-by-step explanation:
since this is a 30 60 90 triangle side a is x sqrt3 side b (which is y) is x and side c is 2x. since side c is 16 you divide by two or 16/2x and find x which 8 and since x is 8 and c is two times side b ur answer is 8 my friend
Regina spent $45.50 over 612 months on music downloads.
If she spent the same amount of money each month, how much money did Regina spend per month on music downloads?
Answer:
.07 cents
Step-by-step explanation:
In order to solve this question all you need to do is divide the money spent by the amount of months. 45.50/612=0.0743464052 but since you cant spend .0043464052 of a cent we have to change the answer to .07. To check our answer is right all we need to do is multiply 0.0743464052 by 612=45.499999 so we know the answer is correct.
write a fraction as a percent
Answer:
A fraction as a percent is 1/2 = 50%.
Step-by-step explanation:
PLEASE HELP WILL GIVE BRANLIEST
Answer:
linear combination should be the right answer
Answer:
Substitution
Step-by-step explanation:
Substitution would be the best method because the equation is already simplified.Five aluminum cans can be recycled to make a new can. How many new cans can eventually be made from 125 aluminum cans
Answer:
25 new cans
Step-by-step explanation:
Given that:
Number of aluminum cans needed to make a new can = 5
total number of aluminum cans = 125
Number of new cans that can be made :
Total number of aluminum cans / aluminum cans needed to make a new can
= 125 / 5
= 25 new cans
What is the radius of a circle with circumference 100
meters?
(Round your answer to the nearest tenth) Use 3.14
for TT
Hint: Circumference of a circle
C = 2TTr
a.r= 63.7 meters
b.r= 31.8 meters
c.15.9 meters
d.157 meters
Answer:
The radius is C: 15.9 meters
Step-by-step explanation:
Multiply 3.14 by 2, =6.28
Divide the circumference (100) by 6.28
That would equal 15.9235, and when simplified you will get 15.9!
hope that helps
f() =3x+ 2
What is 5)?
OA. 17
O B. 21
OC. 10
O D. 15
Answer:
f(5) = 17
Step-by-step explanation:
f(x) = 3x+2
f(5) means let x =5
f(5) = 3*5+2
= 15+2
= 17
You use substitution to solve a system of equations and, after simplifying, end with a statement that says 7 = 7. Describe what this statement means about the number of solutions and about the graph of the system. .
Answer:
System of equations are independent, if 2nd equation is not multiplication of firstequation by some number . ... Simplify the 2nd equation: ... y - 2x = -7 ... If you solve the equationsalgebraically and you get a solution such as 5=5, then ... If you use either method and end up with astatement that's always true i hope this helps
Step-by-step explanation:
Answer:
Sample Response: Since the statement is true, there are an infinite number of solutions to the system. This statement also indicates that the lines are equivalent.
Step-by-step explanation:
Decide whether enough information is given to prove that △WXZ≅△YZX using the HL Congruence Theorem.
You are given that ∠XWZ and ___ are right angles and WX≅ ___. Also, XZ≅ ___ by the ____. So, the triangles _____ be proven congruent using the HL Congruence Theorem.
See Explanation
Step-by-step explanation:
You are given that ∠XWZ and ∠ZYX are right angles and WX≅ ZY. Also, XZ≅ XZ by the (COMMON SIDES) . So, the triangles △WXZ and △YZX be proven congruent using the HL Congruence Theorem.
The complete sentence is
∠XWZ and ∠XYZ are right angles WX≅ ZY ( from figure) ΔXWZ ≅ ΔXYZ ( HL Congruence Theorem)What is HL Congruence Theorem?According to the hypotenuse-leg (HL) theorem, a right triangle is congruent if each of its hypotenuse and legs are congruent with their corresponding hypotenuse and legs in another right triangle.
Given:
From Figure we can write
∠XWZ and ∠XYZ are right angles
and, WX≅ ZY ( from figure)
So, the triangles ΔXWZ ≅ ΔXYZ ( HL Congruence Theorem)
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Mariana wants to bring some friends on a ferry ride at the long beach port for her birthday. she has $200 total to spend on her birthday. The ferry ride costs $15 per person and Mariana spent a one time $35 fee on snacks and beverages.if p represents the number of people going on the ferry ride, write an equation to model this situation.
Answer:
200< 15p +35 (it's less than or equal to, but i can't put the bar under the sign)
Step-by-step explanation:
Exam
Does the equation below represent a
direct proportion? If yes, identify
the constant of proportionality.
x = 9y
A. No
B. Yes, 1/9
D. Yes, -9
C. Yes, 3
Answer:
B. 1/9 cuz it's just saying y is 1/9 of x
What is the image point of (-4,2) after a translation left 5 units and down 3
units?
Answer: (-9,-1)
Step-by-step explanation:
Solve:
(4y + 2)^2
Choose all that apply.
18y
8y + 4
16y + 4
4y + 4
Answer:
1. wrong
2. wrong
3. the Only Right one
4. wrong
Step-by-step explanation:
i dont know why your teacher said mark all that apply
The Brown family needs to rent a truck for their upcoming move. Express Movers will charge them $25 for the first day and $0.80 for every mile. Smith & Smith Co. will charge $35 for the first day and $0.60 for every mile. Before deciding which service to use, Mrs. Brown wants to find out how many miles would make the two choices equivalent in cost. The following equations represent this situation.
Here, x represents number of miles and y represents the cost.
This situation is shown in the graph.
Answer:
A
Hope this Helps Dork! :)
Which of the following decimals appear to be rational numbers? Choose all that are correct.
41.45454545454545...
75.66666666666666...
7.0625
31.41592653589793...
11.31370849898476...
Answer:
A,B
Step-by-step explanation:
Will give brainliest
What is the measure of angle P in the figure shown here?
Answer:
48
Step-by-step explanation:
66*2=132
180-132=48
Kiefer Davis is an architect earning $148,800 a year. He is married with 3 dependents and is paid on a biweekly basis. How much is withheld from each paycheck for state taxes?
Answer:
10,000
Step-by-step explanation:
q12s
Two-thirds of a number, decreased by thirty-six, is at most twenty-two. Find the number.
(one answer only)
Answer:
87 is the number
Step-by-step explanation:
what is between 10/6 and 11/6 as a fraction on a number line
Answer:
10.5/6 ?
Step-by-step explanation:
It makes the most sense to me...
<3 Enjoy,
Dea
How old do you have to be in order to be in a relationship?
no reason at all.....
Answer:
to me 18
Step-by-step explanation:
coz ur an adult and plus if u fall in love at the age of 2 that would be strange
The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the
hypotenuse by the formula a? + b2 = -2
If a is a rational number and b is a rational number, why could c be an irrational number?
Answer:
For the value of hypotenuse can be irrational, sum of squares of other two legs might be imperfect square number.
Step-by-step explanation:
We all know, the Pythagorean theorem can be stated as follows:
The sum of squares of two legs of a right angled triangle is equal to the square of the hypotenuse.
i.e.
[tex]a^2+b^2=c^2[/tex]
Where, [tex]c[/tex] is the hypotenuse and [tex]a, b[/tex] are the two other legs of the right angled triangle.
Given that:
[tex]a[/tex] and [tex]b[/tex] are rational numbers.
To find:
Situation for which [tex]c[/tex] is irrational.
Square of a rational number is always rational.
So, [tex]a^{2} , b^{2}[/tex] both will be rational.
And sum of squares of two rational numbers will also be rational.
Therefore, [tex]a^2+b^2[/tex] will also be rational.
and
[tex]c = \sqrt{a^2+b^2}[/tex]
For the value of [tex]c[/tex] can be irrational, sum of squares of other two legs might be imperfect square number.
Jeff deposited $6000 into a savings account for which interest is compounded quarterly at a rate of 3.3%. How much interest will he earn after 77 years? *
Answer:
140,000
Step-by-step explanation:
Answer: 69364.41
Step-by-step explanation:
6000(1 + 0.00825)^308= 75364.409332
75364.409332- 6000= 69364.409332
16, 3x + 2y = 8 5x+ 2y = 12 What is the solution of the system of equations shown above? A(-2,7) B. (2,1)
C.4/3,2
D
2,4
Answer:
The solution of the system of the equations is (2, 1) ⇒ B
Step-by-step explanation:
Let us solve the system of equations
∵ 3x + 2y = 8 ⇒ (1)
∵ 5x + 2y = 12 ⇒ (2)
→ Subtract equation (1) from equation (2)
∴ (5x - 3x) + (2y - 2y) = (12 - 8)
∴ 2x + 0 = 4
∴ 2x = 4
→ Divide both sides by 2
∴ x = 2
→ Substitute the value of x in equation (1) or (2) to find y
∵ 3(2) + 2y = 8
∴ 6 + 2y = 8
→ Subtract 6 from both sides
∵ 6 - 6 + 2y = 8 - 6
∴ 2y = 2
→ Divide both sides by 2 to find y
∴ y = 1
∴ The solution of the system of the equations is (2, 1)
factor and then solve the question.
X^2-6X=7
Answer:
The solution set is {-1, 7}.
Step-by-step explanation:
X^2-6X=7
X^2 - 6X - 7 = 0
(X - 7)(X + 1) = 0
X = 7, -1.
classify a triangle with side lengths 5, 12, and 13.
- acute
- obtuse
- right
- not a triangle
9514 1404 393
Answer:
right
Step-by-step explanation:
You should recognize that (5, 12, 13) is a Pythagorean triple, so are the lengths of sides of a right triangle.
__
In any event, you can check to see.
5² +12² = 25 +144 = 169 = 13²
The side lengths satisfy the Pythagorean theorem, so correspond to sides of a right triangle.
_____
Some Pythagorean triples commonly seen in algebra, geometry, and trig problems are ...
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)
4.75 qt = fl oz. pls help me with complete answers
Answer:
4.75 Qt = 152 Fl. Oz.
Step-by-step explanation:
1 Quart = 32 Fluid Ounce
4.75 Qt = 32 × 4.75 Fl. Oz.
4.75 Qt = 152 Fl. Oz.