1answer.
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
____ [38]
2 years ago
10

Caroline drew the blueprints of her new kitchen on a coordinate plane. The coordinates of the four corners of her square kitchen

are (2, 4), (-10, 4), (-10, -8), and (2, -8). How many units long is one wall of her kitchen? If needed, create a graph to help answer the question.
Mathematics
1 answer:
olga nikolaevna [1]2 years ago
8 0

Answer:

the wall of her kitchen is 12 units long

You might be interested in
What is the equation of the quadratic graph with a focus of (1 ,3) and a directrix of y=1?
zimovet [89]
Check the picture below.

now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.

the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.

the distance "p", from the vertex to either the directrix or focus, is really just 1 unit.  Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
4p(x- h)=(y- k)^2
\\\\
\boxed{4p(y- k)=(x- h)^2}
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ( h, k)\\\\
 p=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
h=1\\
k=2\\
p=1
\end{cases}\implies 4(1)(y-2)=(x-1)^2\implies 4(y-2)=(x-1)^2
\\\\\\
y-2=\cfrac{1}{4}(x-1)^2\implies y=\cfrac{1}{4}(x-1)^2+2

4 0
3 years ago
Can 3.65909090909 be expressed as a fraction whose denominator is a power of 10? Explain.
GuDViN [60]
\bf 3.659\textit{ can also be written as }\cfrac{3659}{1000}\textit{ therefore }3.6590909\overline{09}\\\\
\textit{can be written as }\cfrac{3659.0909\overline{09}}{1000}

notice above, all we did, was isolate the "recurring part" to the right of the decimal point, so the repeating 09, ended up on the right of it.

now, let's say, "x" is a variable whose value is the recurring part, therefore then

\bf \cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \qquad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}

now, the idea behind the recurring part is that, we then, once we have it all to the right of the dot, we multiply it by some power of 10, so that it moves it "once" to the left of it, well, the recurring part is 09, is two digits, so let's multiply it by 100 then, 

\bf \begin{array}{llllllll}
100x&=&09.0909\overline{09}\\
&&9+0.0909\overline{09}\\
&&9+x
\end{array}\quad \implies 100x=9+x\implies 99x=9
\\\\\\
x=\cfrac{9}{99}\implies \boxed{x=\cfrac{1}{11}}\\\\
-------------------------------\\\\
\cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \quad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}
\\\\\\
\cfrac{3659+\frac{1}{11}}{1000}

and you can check that in your calculator.
8 0
3 years ago
Question 2 In the fall, a community service club sold 10 shirts and 20 hats for a total of $490. In the spring, the club sold 20
Stells [14]
To answer the question above, we let s be the cost of a shirt and h be the cost of each hat such that the equations that would best represent the given are:
                                        10s + 20h = 490
                                         20s + 30h = 860
The system of equations is the answer to the first question and the values of s and h are $25 and $12, respectively. 
8 0
3 years ago
Write an algebraic expression that represents each purchase.
Svetradugi [14.3K]

Answer: Both answers will be

15x+18

Step-by-step explanation:

Since we have given that

Cost of soccer balls = $15

Cost of baseball = $6

Cost of sweat socks = $5

a) Mr. Tonkery bought x number of soccer balls and 3 base balls .

So, our algebraic expression will be

15x+3\times 6\\\\=15x+18

b) Dennis, Eddie and Felix are on a base ball team. They each bought a baseball and x pair of sweat socks .

Since there are 3 members in a base ball team ,

Number of base ball they will purchase is given by

3\times 6=18

Number of sweat socks they will bought is given by

5\times x\times 3=15x

Total number they will purchase is given by

15x+18

Hence, both answers will be

15x+18

6 0
3 years ago
How do you write 4540 million in standard form?
vovangra [49]
For this case what we should do is take into account the following conversion:
 million = 10 ^ 6

 We then have the following number:
 4540 million

 Applying the given conversion we have:
 4540 * 10 ^ 6

 By doing the corresponding calculation we have that the standard form is given by:
 4540 * 10 ^ 6 = 4,540,000,000

 Answer:
 
4540 million in standard form is:
 
4,540,000,000
8 0
2 years ago
Read 2 more answers
Other questions:
  • Need help with 23. please
    10·1 answer
  • A store offers a 15% discount on all items in the store during a sale. All store employees get an additional 10% employee discou
    13·2 answers
  • On a coordinate plane, 2 lines are shown. Line A B has points (negative 4, negative 2) and (4, 4). Line C D has points (0, negat
    8·2 answers
  • What is the length of a side of the cube shown with given volume?
    6·1 answer
  • I believe the answer is A can someone confirm please and thank you, I cant get this answer wrong.
    14·2 answers
  • Which best describes the range of the function f(x) = 2(3)x?
    14·1 answer
  • A tin has asquare base whose sides measures 32 cm .the vertical sides are 50cm high.cake mixture is poured into the tin and leve
    14·1 answer
  • The table shows the heights of three different rock formations that Jeremy is considering. Rewrite the equation for the line of
    11·1 answer
  • Set P U (R U O)
    9·1 answer
  • Anna has 1.53 pounds of meat. She uses 0.17 pound of meat to make one hamburger. How many hamburgers can Anna make with the meat
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!