answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeTakaya
1 month ago
12

Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (2,

−1). She wants to align an important detail on the left edge of her stencil at (4, 1). She knows this is 1:4 of the way to where she wants the end of the stencil. Where is the end of the stencil located?
(12, 9)
(10, 7)
(3.5, 0.5)
(2.5, −0.5)
Mathematics
2 answers:
PIT_PIT [12.4K]1 month ago
6 0

Answer:

(A)(12, 9)

Step-by-step explanation:

Provided:

The starting point of the stencil's left edge is at (2, -1).

A designated point, referred to as Q on the stencil, is located at (4, 1).

Point Q divides the stencil in a 1:4 ratio.

We are tasked with determining the endpoint of the stencil.

Mathematically, Point Q segments the stencil internally in a 1:4 ratio.

For calculating the internal division of a line segment with initial point (x_1,y_1) and end point (x_2,y_2) in the ratio m:n, we apply the formula

Q(x,y)=(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n} )

(x_1,y_1)=(2, -1), (x_2,y_2)=?, Q(x,y)=(4,1), m:n=1:4

Consequently:

(4,1)=(\dfrac{1x_2+4*2}{1+4},\dfrac{1y_2+4*-1}{1+4} )\\(4,1)=(\dfrac{x_2+8}{5},\dfrac{y_2-4}{5} )\\$Therefore:\\\dfrac{x_2+8}{5}=4\\x_2+8=4X5\\x_2=20-8=12\\$Similarly\\\dfrac{y_2-4}{5}=1\\y_2-4=5\\y_2=4+5=9\\(x_2,y_2)=(12,9)

The selected choice is A.

Zina [12.3K]1 month ago
4 0

Answer:

(A)(12, 9)

Step-by-step explanation:

I took the examination and answered this question correctly.

You might be interested in
2 intersecting lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. Angle T R V is 95 d
tester [12383]

Answer:

95^\circ

Step-by-step explanation:

Consider the two lines TRW and SRV intersecting at point R, as illustrated in the diagram below and:

\angle TRV=95^\circ

m\angle TRV=m\angle SRW$ (Vertically Opposite Angles)\\Therefore:\\m\angle SRW=95^\circ

6 0
1 month ago
Read 2 more answers
Gill wears a device that counts the number of steps she takes every day. One day she did onefifteenth of her steps before breakf
tester [12383]
Answer: 6000 steps Step-by-step explanation: 1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3. Therefore, 2/3 equals 12000 steps, meaning 1/3 is 6000 steps. Overall, she should tally 18000 steps, and she has recorded 12000 steps, hence 18000-12000=6000 steps.
6 0
18 days ago
How is 2 ones the same has 20 tenths
Svet_ta [12734]
The equivalence exists because tenths represent one-tenth of a whole. Having 20 tenths means multiplying 20 by 1/10, resulting in 20/10, which simplifies to 2 wholes. Conversely, expressing 2 as 20 tenths yields the same amount.
6 0
2 months ago
Read 2 more answers
The manager of a grocery store estimates that 74% of customers will make a purchase.
PIT_PIT [12445]

Answer:

A - For every 100 customers, a cashier should anticipate 26 who do not make a purchase before encountering a buyer.

B - The probability of a purchase is 1/4

Step-by-step explanation:

There's a 74% estimated likelihood that a customer will buy something

If a total of 100 individuals enter the grocery store on any given day,

then 74 % of the visitors

= 74% of 100

= 74 people are likely to make a purchase.

⇒ This means out of 100 visitors, 74 will buy something.

Consequently, the number of individuals NOT buying anything = 100 - 74 = 26

⇒ Thus, 26 people among 100 will NOT make a purchase.

Additionally, 26 equates to 26% of 100

Part A:

So, the cashier can expect 26% of the customers won't buy anything as the percentage of individuals not purchasing stands at 26%.

Thus, in a group of 100 individuals, the cashier can anticipate 26 before finding a buyer.

Part B:

The percentage of customers buying = 74%

The percentage of individuals NOT buying = 26%

Therefore, for every 3 customers making a purchase, there will be 1 who does not buy. Thus, the probability is 1/4

6 0
1 month ago
A truck with a heavy load drove from Boston to New York at 50 mph. After dropping of the load, it returned from New York to Bost
Zina [12379]

Answer:

175/3 or 58.333...

Step-by-step explanation:

This problem can be complex, but I'll simplify it. I apologize for the challenges involved in formatting fractions correctly. To ensure accuracy, I've added several parentheses that may seem unnecessary.

Let d denote the distance between the two cities.

The time it takes can be expressed as d/r, where r represents the speed; thus, from B to NY, it is d/50.

In the same manner, from NY to B, it's d/70.

The average velocity can be determined as 2d divided by the sum of d/50 and d/70, representing the average time.

Next, eliminate d from the equation to reach (d/d)*2/(1/50+1/70).

Now, you can multiply by the Least Common Multiple (LCM) over itself, which is 350/350.

The result after performing this calculation will yield 700/12, equating to 58.333...(This is how you would enter it into your RSM browser) I hope this clarification is useful. My apologies for the delay.

8 0
1 month ago
Other questions:
  • Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table
    15·2 answers
  • Huixian needs to pack 171 pens, 63 pencil, and 27 erasers into identical bags so that each item is equally distributed among the
    13·2 answers
  • The employees of a company were surveyed on questions regarding their educational background (college degree or no college degre
    13·1 answer
  • which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x 6 into the quadratic formula? qu
    15·1 answer
  • An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a r
    7·1 answer
  • What number should be placed in the spot presently filled with the X? Finished Product A 1 2 3 4 Gross Requirements (i.e. demand
    14·1 answer
  • If the measure of angle ACB is 90°, then which expression represents the value of g? triangle ACB, point E is on segment AC betw
    12·1 answer
  • What are the solutions to the quadratic equation (5y + 6)2 = 24? y = StartFraction negative 6 + 2 StartRoot 6 EndRoot Over 5 End
    17·2 answers
  • Hector is competing in a 42 mile bicycle race. He has already completed 18 miles of the race and is traveling at a constant spee
    10·1 answer
  • *NEED HELP??!! The scatter plot shows the number of hats and scarves each knitter sold at a knitting show. How many hats did the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!