Determine the coordinates of the intersection of the diagonals of square ABCD with verticals A(-4,6), B(5,6) C(4,-2), and D(-5,-2)
Given:
Vertices of a square are A(-4,6), B(5,6) C(4,-2), and D(-5,-2).
To find:
The intersection of the diagonals of square ABCD.
Solution:
We know that diagonals of a square always bisect each other. It means intersection of the diagonals of square is the midpoint of diagonals.
In the square ABCD, AC and BD are two diagonals. So, intersection of the diagonals is the midpoint of both AC and BD.
We can find midpoint of either AC or BD because both will result the same.
Midpoint of A(-4,6) and C(4,-2) is
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-4+4}{2},\dfrac{6+(-2)}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{0}{2},\dfrac{6-2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{0}{2},\dfrac{4}{2}\right)[/tex]
[tex]Midpoint=\left(0,2\right)[/tex]
Therefore, the intersection of the diagonals of square ABCD is (0,2).
find the measure of
Answer:
105°
Step-by-step explanation:
Answer:
X=105 degrees
Step-by-step explanation:
180-50-80=50degrees
angle to the bottom left of X is 50degrees
180-90-65=25degrees
angle to the bottom right of X is 25 degrees
180-25-50=105 degrees
X=105degrees
ASAP PLS HELP
Which fraction is equivalent to 2 over negative 6 ? (5 points)
Select one:
a.
negative 2 over 6
b.
2 over 6
c.
negative 2 over negative 6
d.
6 over 2
The diameter of a circle measures 32 mm. What is the circumference of the circle? Use 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
100.48 ft
Step-by-step explanation:
PLEASE HELP
The vertex of this parabola is at (-2, 1). Which of the following could be its
equation?
Answer:
A. [tex]x = 4\cdot (y-1)^{2}-2[/tex]
Step-by-step explanation:
From the image attached below statement we understand that a parabola with a horizontal axis of symmetry and whose vertex is centered at [tex]V(x,y) = (h,k)[/tex] is defined by the following expression:
[tex]x-h = C\cdot (y-k)^{2}[/tex] (1)
Where [tex]C[/tex] is the parabola factor, when [tex]C > 0[/tex], the parabola is oriented in the +x direction, otherwise is oriented in the -x direction. Hence, we may conclude that equation of the parabola is of the form:
[tex]x+2 = C\cdot (y-1)^{2}[/tex]
[tex]x = C\cdot (y-1)^{2}-2[/tex], where [tex]C > 0[/tex]
The correct answer is A.
Answer:
A
Step-by-step explanation:
Hopefully this helps
Please Help ASAP!! ❤️
Answer:
Step-by-step explanation:
*a is 6:55
*b is 37
*c is 15:12
PLS HELP!!!
A triangular prism. The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet. The 2 triangular sides have a base of 3 feet and height of 4 feet. The area of each triangular base is: A = 1/2(b)(h) A = 1/2(3)(4) A = ft2 There are two bases, so total base area is ft2. The lateral area is: A = (12)(3) + 12(5) + 12(4) A = ft2 The total surface area is ft2.
Answer:
The lateral area is 144 ft^2
The Total surface area is 156ft^2
Step-by-step explanation:
:)
Answer:
6, 12, 144, 156
Step-by-step explanation:
The area of each triangular base is: A = 1/2(b)(h) A = 1/2(3)(4) A = 6 ft2
There are two bases, so total base area is 12 ft2.
The lateral area is: A = (12)(3) + 12(5) + 12(4) A = 144 ft2
The total surface area is 156 ft2.
1. If the original price of an item was 75 cents and the new price is 81 cents, 1 pc
what is the percent change? (MAKE SURE YOU TYPE % AT THE END OF
YOUR ANSWER) *
Your answer
Answer:
8%
Step-by-step explanation:
Original Price = 75 cents New Price = 81 cents, % increase = ?
% increase = 81 - 75/75 × 100%
% increase = 6/75 × 100%
% increase = 8% ( Ans)
The number of dimes in Kiara's collection is 13 more than 5 times the
number of quarters in her collection. Kiara has 78 dimes in her
collection. Which equation could be used to find the number of
quarters in Kiara's collection?
78 = 13C + 5
78 = 13C-5
78 = 5C + 13
78 = 5C -13
Answer:
The number of dimes in Kiara's collection is 13 more than 5 times the
number of quarters in her collection. Kiara has 78 dimes in her
collection.
3) 78 = 5C+13is the right answer.
Write the equation with the given slope and y-intercept:
m = -3
y - intercept = 15
Your answer
Answer
wjiehnjshude
Step-by-step explanation:
Find the degree of the monomial.
9b6c5
The degree of the monomial is
Answer:
6
General Formulas and Concepts:
Algebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
9b⁶c⁵
Step 2 Identify
Our largest degree is the variable raised to the highest exponent.
b⁶ > c⁵
Therefore our degree is 6.
What is the length of the hypotenuse in a triangle?
Answer:
longest side of a right-angled triangle,
Step-by-step explanation:
Three robots ran the same distance. The first robot ran 150 meters per minute.
The second robot ran 150 meters per minute faster than the first robot and 120
meters per minute faster than the third robot. The winner finished 2 minutes
before the robot that finished in second place. What distance (in meters) did the
robots run?
Answer:
900 meters.
Step-by-step explanation:
Trust me. Russian School Of Math answer :)
How is this number read?
14.102
fourteen and one hundred two thousandths
fourteen and one hundred two hundredths
fourteen and one hundred two tenths
fourteen one hundred two
Answer:Its B//////////////////////////.,,,
Answer: A
Step-by-step explanation: The number can be read in many ways, but this is more proper way.
The length of a rectangle in terms of x is x + 8, and its width is 2x + 3. What is the perimeter of this rectangle?
Answer:
59
Step-by-step explanation:
value in a expansion is 5
expansion
simplistic form
Solve the system of equations
4x-y=10
y=2x-2
Answer:
y=2/3 x=-5/3
Step-by-step explanation:
PLS help 20 min
Which of the following correctly uses absolute value to show the distance between -80 and 15? (5 points) a |-80 - 15| = |-95| = -95 units b |-80 + 15| = |-65| = 65 units c |-80 - 15| = |-95| = 95 units d |-80 + 15| = |-65| = -65 units
Answer:
It's B, |-80+15|= 65
Step-by-step explanation:
I SHAT MY PANTS HELP OMG
Answer:
Change your pants
.... um chile anyways
A pack of baseball cards costs $7. Doug has $47. How many packs of baseball cards can he get?
8 percent as a fraction or mixed number in simplest form
Answer: 2/25
Step-by-step explanation:
Which of the following must be true if the triangles are congruent?
Answer:
Step-by-step explanation:
Non of them are
Match the fraction, decimal, or percent in the first column to its equivalent value in the second column.
7596
40%
0.64
15%
30%
16/25
3/20
314
0.4
0.3
Answer:
1. 75% = 3/4
2. 3/20 = 15%
3. 0.4 = 40%
4. 30% = 0.3
5. 0.64 = 16/25
Did this on Edge and got it all correct! Please mark brainliest, dearie <33
PLEASE HELP!!!! Based on the model, approximately how many cups of tea can Christina expect to sell during the eighth hour?
Answer:
where is the picture
Step-by-step explanation:
Answer:
175
Step-by-step explanation:
plato/edmentum
Work out the area of this cuboid 7.5cm 2.3 cm and 5cm
Answer:
Below
Step-by-step explanation:
Area if cuboid =2(l*b+b*h+h*l)
= 2(7.5*5+5*2.3+2.3*7.5)
=2(37.5+11.5+17.25)
=2(66.25)
=103.75cm^3
A group of physicians conducts a study to find the success
rate of different treatments for an illness. They select one
hospital at random and obtain a list of patients who have
received each treatment. They select every fifth patient on
the list and contact that patient.
What is the sample in this study?
A. Patients who have been diagnosed with the illness
B. The patients from the list who are contacted by the physicians
C. Patients who received one of the treatments at the selected
hospital
D. The patients on the list that the hospital provided to the doctors
Answer: B
Step-by-step explanation:
I took the quiz and got this right, Happy to help!!
What is 3 1/2 as an improper fraction?
Answer:
7/2
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
2 × 3 = 6
Step 2
Add the answer from Step 1 to the numerator
6 + 1 = 7
Step 3
Write answer from Step 2 over the denominator
7/2
the improper fraction form of 3 1/2 is 7/2.
To convert the mixed number 3 1/2 to an improper fraction, we first multiply the whole number (3) by the denominator (2) and add the numerator (1). This gives us 3 * 2 + 1 = 7 as the new numerator. The denominator remains the same, which is 2. So, the improper fraction form of 3 1/2 is 7/2.
In this fraction, the numerator (7) represents the total number of parts we have, while the denominator (2) represents the size of each part. Therefore, 3 1/2 is equivalent to the improper fraction 7/2.
Learn more about improper fraction here
https://brainly.com/question/21449807
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What is equivalent to 5(x + 12)
A x +12
B 2x - 60
C 5x + 60
D 2x - 60
Answer:
[tex]\boxed{\boxed{\pink{\sf Option \ C \ is \ correct .}}}[/tex]
Step-by-step explanation:
Given to us is , 5 ( x + 12 ) and we need to find which is its equivalent in the given options .
So,
[tex]\bf = 5 ( x + 12 ) \\\\=\bf 5x + 5\times 12 \\\\=\boxed{\red{\bf 5x + 60 }}[/tex]
Hence option C is correct.Please help me solve this !:)
Explain your answer
I will give braisnlt . Oh
Answer:
D
Step-by-step explanation:
A is incorrect because if 1 x value corresponds to multiple y values, it is not a function
B is incorrect for the same reason as a
C is incorrect because it is linear
D is correct because 1.) all of the others are wrong, and 2.) it is nonlinear.
Sten had 4 bags and some apples. He ate 3 apples. Then he put 3 in each bag. How many apples did Sten start with in his basket?
For #4 is that the correct answer I just want to know before I submit it