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
natta225 [31]
3 years ago
7

Type the correct answer in each box.

Mathematics
1 answer:
Ivahew [28]3 years ago
6 0

Answer:

Across x-axis = (-4, 2) across y-

axis = (4, -2)

You might be interested in
The ratio of blue marbles to white marbles Simran's bag is equal to 1 to 2. If there are 20 blue marbles how many white marbles
Nastasia [14]
There are 40 white marbles.
6 0
3 years ago
Need help plzzzzz !!
Wewaii [24]
They would be perpendicular. hope this helps.
7 0
3 years ago
A certain square is to be drawn on a coordinate plane. One of the vertices must be on the origin, and the square is to have an a
Scrat [10]

Answer:

The answer is (C) 8

Step-by-step explanation:

First, let's calculate the length of the side of the square.

A_{square}=a^2, where a is the length of the side. Now, let's try to build the square. First we need to find a point which distance from (0, 0) is 10. For this, we can use the distance formula in the plane:

d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} which for x_1=0 and y_1 = 0 transforms as  d=\sqrt{(x_2)^2 + (y_2)^2}. The first point we are looking for is connected to the origin and therefore, its components will form a right triangle in which, the Pythagoras theorem holds, see the first attached figure. Then, x_2, y_2 and 10 are a Pythagorean triple. From this, x_2= 6 or  x_2=8 while y_2= 6 or y_2=8. This leads us with the set of coordinates:

(\pm 6, \pm 8) and (\pm 8, \pm 6).  (A)

The next step is to find the coordinates of points that lie on lines which are perpendicular to the lines that joins the origin of the coordinate system with the set of points given in (A):

Let's do this for the point (6, 8).

The equation of the line that join the point (6, 8) with the origin (0, 0) has the equation y = mx +n, however, we only need to find its slope in order to find a perpendicular line to it. Thus,

m = \frac{y_2-y_1}{x_2-x_1} \\m =  \frac{8-0}{6-0} \\m = 8/6

Then, a perpendicular line has an slope m_{\bot} = -\frac{1}{m} = -\frac{6}{8} (perpendicularity condition of two lines). With the equation of the slope of the perpendicular line and the given point (6, 8), together with the equation of the distance we can form a system of equations to find the coordinates of two points that lie on this perpendicular line.

m_{\bot}=\frac{6}{8} = \frac{8-y}{6-x}\\ 6(6-x)+8(8-y)=0  (1)

d^2 = \sqrt{(y_o-y)^2+(x_o-x)^2} \\(10)^2=\sqrt{(8-y)^2+(6-x)^2}\\100 = \sqrt{(8-y)^2+(6-x)^2}   (2)

This system has solutions in the coordinates (-2, 14) and (14, 2). Until here, we have three vertices of the square. Let's now find the fourth one in the same way we found the third one using the point (14,2). A line perpendicular to the line that joins the point (6, 8) and (14, 2) has an slope m = 8/6 based on the perpendicularity condition. Thus, we can form the system:

\frac{8}{6} =\frac{2-y}{14-x} \\8(14-x) - 6(2-y) = 0  (1)

100 = \sqrt{(14-x)^2+(2-y)^2}  (2)

with solution the coordinates (8, -6) and (20, 10). If you draw a line joining the coordinates (0, 0), (6, 8), (14, 2) and (8, -6) you will get one of the squares that fulfill the conditions of the problem. By repeating this process with the coordinates in (A), the following squares are found:

  • (0, 0), (6, 8), (14, 2), (8, -6)
  • (0, 0), (8, 6), (14, -2), (6, -8)
  • (0, 0), (-6, 8), (-14, 2), (-8, -6)
  • (0, 0), (-8, 6), (-14, -2), (-6, -8)

Now, notice that the equation of distance between the two points separated a distance of 10 has the trivial solution (\pm10, 0) and  (0, \pm10). By combining this points we get the following squares:

  • (0, 0), (10, 0), (10, 10), (0, 10)
  • (0, 0), (0, 10), (-10, 10), (-10, 0)
  • (0, 0), (-10, 0), (-10, -10), (0, -10)
  • (0, 0), (0, -10), (-10, -10), (10, 0)

See the attached second attached figure. Therefore, 8 squares can be drawn  

8 0
3 years ago
Not sure how to do this giving away the rest of my points for it!
marysya [2.9K]

Answer:

i THINK the Doman is 36 and the other one is 14

Step-by-step explanation:

sssssssssuper sorry if this is wrong!!!!!!!!!!!!!

7 0
2 years ago
In 1999. Sara and her brother Xzavier got money when their rich uncle died. They
Hunter-Best [27]

Answer:

$406,300

Step-by-step explanation:

$2,700 + $3,600 = $6,300

$400,000 + $6,300 = $406,300

3 0
3 years ago
Other questions:
  • 15. Simplify the expression below. Show your work. –(–7y + 12)
    6·1 answer
  • Deana gave her younger sister $5.48 to buy some candy. Her sister returned $2.84 in change. How much did her sister spend on can
    9·1 answer
  • Mrs. Clark had 1/2 of a cherry pie left over. She split the leftover pie evenly between her 2 children. What fraction of a pie d
    5·1 answer
  • Please help me I need this for tomorrow!!!
    8·1 answer
  • $45.00 for 9 pounds what is the unit rate?
    8·2 answers
  • Write an equation in slope-intercept form for the following line:<br> (-14.1) and (13,-2)
    7·1 answer
  • X2-y2-x-y anyone help to solve this matter <br>​
    8·2 answers
  • Trisha took 3.25 minutes to complete the race an Rachel took 3.207 minutes to complete the race who won the race ​
    8·2 answers
  • Someone please ill mark you the brainliest! No cheating or else i’ll report you.
    7·1 answer
  • What's 2+2*2 equal to?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!