PLEASE HELP WILL MARK BRAINLIEST FOR CORRECT ANSWER
The coordinates of the vertices of quadrilateral ABCD are A(−1, −1) , B(−3, 3) , C(1, 5) , and D(5, 2) . Drag and drop the choices into each box to correctly complete the sentences.
Answers
The slope of BC is 1/2
The slope of CD is -3/4
The slope of AD is 1/2
The quadrilateral ABCD is a trapezoid because only one pair of opposite sides are parallel. YOU'RE WELCOME :D
The Vertex A has coordinates [tex](-1,-1)[/tex] and the vertex B has coordinates [tex](-3,3)[/tex].
The slope of AB can be determined using the formula;
[tex]Slope_{AB}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where [tex](x_1,y_1)=A(-1,-1)[/tex] and [tex](x_2,y_2)=B(-3,3)[/tex].
Plugging these values in to the formula gives;
[tex]Slope_{AB}=\frac{3--1}{-3--1}[/tex]
[tex]Slope_{AB}=\frac{3+1}{-3+1}[/tex]
[tex]Slope_{AB}=\frac{4}{-2}[/tex]
[tex]Slope_{AB}=-2[/tex]
ANSWER TO QUESTION 2
The Vertex B has coordinates [tex](-3,3)[/tex] and the vertex C has coordinates [tex](1,5)[/tex].
The slope of BC can be determined using the formula;
[tex]Slope_{BC}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where [tex](x_1,y_1)=B(-3,3)[/tex] and [tex](x_2,y_2)=C(1,5)[/tex].
Plugging these values in to the formula gives;
[tex]Slope_{BC}=\frac{5-3}{1--3}[/tex]
[tex]Slope_{BC}=\frac{5-3}{1+3}[/tex]
[tex]Slope_{BC}=\frac{5-3}{1+3}[/tex]
[tex]Slope_{BC}=\frac{2}{4}[/tex]
[tex]Slope_{BC}=\frac{1}{2}[/tex]
ANSWER TO QUESTION 3
The Vertex C has coordinates [tex](1,5)[/tex] and the vertex D has coordinates [tex](5,2)[/tex].
The slope of CD can be determined using the formula;
[tex]Slope_{CD}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where [tex](x_1,y_1)=C(1,5)[/tex] and [tex](x_2,y_2)=D(5,2)[/tex].
Plugging these values in to the formula gives;
[tex]Slope_{CD}=\frac{2-5}{5-1}[/tex]
[tex]Slope_{CD}=\frac{-3}{4}[/tex]
[tex]Slope_{CD}=-\frac{3}{4}[/tex]
ANSWER TO QUESTION 4
The Vertex A has coordinates [tex](-1,-1)[/tex] and the vertex D has coordinates [tex](5,2)[/tex].
The slope of AD can be determined using the formula;
[tex]Slope_{AD}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where [tex](x_1,y_1)=A(-1,-1)[/tex] and [tex](x_2,y_2)=D(5,2)[/tex].
Plugging these values in to the formula gives;
[tex]Slope_{AD}=\frac{2--1}{5--1}[/tex]
[tex]Slope_{AD}=\frac{2+1}{5+1}[/tex]
[tex]Slope_{AD}=\frac{3}{6}[/tex]
[tex]Slope_{AD}=\frac{1}{2}[/tex]
ANSWER TO QUESTION 5.
When we examine the slopes carefully we can see that
[tex]Slope_{AD}=\frac{1}{2}=Slope_{BC}[/tex].
Whenever the slopes of two straight lines are the same, it means the two lines are parallel.
Since quadrilateral ABCD has one pair of opposite sides parallel and the pair of opposite sides not parallel, the quadrilateral is a trap-ezoid.
Hence the answer is :
Quadrilateral ABCD is a trap-ezoid because only one pair of opposite side is parallel.
Related Questions
A pizza parlor sold 38mc005-1.jpg pizzas during a dinner hour. If each pizza contained 8 slices, how many slices of pizza were sold?
The options are
Answers
38 pizzas times 8 slices each =
38 *8 = 304 slices total
factor the trinomial x^2 - 16x +63
Answers
x^2 - 16 x + 63
The factors of 63 that sum to -16 are -7 and -9. So, x^2 - 16 x + 63 = (x - 7) (x - 9):
Answer: (x - 7) (x - 9)
Which inequality represents this sentence? Ten minus three is greater than one plus two.
Answers
One plus two ⇒ 1 + 2
Greater than use the symbol >
Ten minus three greater than one plus two
10 - 3 > 1 + 2
7 > 3
Astronauts use a tool in space that weigh 5 ounces on Earth. How many grams does the tool weigh? Round your answer to the nearest hundredth.
Answers
the key here would be
1 oz. = 28.35g or 1 oz. = 28 g
Answer: 141.75
Step-by-step explanation: Yw future edge users
A game shop sells marbles in clear plastic cylinders. Four marbles fit across the diameter of the cylinder and 10 marbles fit from the base to the top of the cylinder. Each marble has a diameter of 2 cm. What is the area of the plastic that is needed to make one cylinder?
Answers
Now, to find the surface area, you first need to figure out the height of the plastic cylinder and its radius.
Since you know that the diameter (twice the radius) of the cylinder is equivalent to 4 marbles, and each marble has a diameter of 2 cm, the diameter of the cylinder would be 8 cm. Then, to find its radius, you divide by 2, so its radius is 4.
Now, since you know that the height of the cylinder is 10 marbles, you multiply 10 by 2 to get that the height is 20 cm tall.
Since you now have the values of the height and the radius, plug the values into the surface area of a cylinder formula (r is radius and h is height).
A=2π(4)(20)+2π(4)^2.
Assuming that pi is 3.14, when you simplify this using PEMDAS, you get
502.4+100.48 which then simplifies to 602.88, the area of the plastic to make one cylinder.
The function f(x) is graphed on the coordinate plane. What is f(−4) ?
Answers
y = 4 where x = -4.
That's the same as saying: "what is the y-value when x = -4?)
f(-4) = y = 4
What is the maximum length possible for her blanket?
Answers
It looks like you are missing some information
Answer: c: 60
Step-by-step explanation:
i did the test
After 6 years, what is the total amount of a compound interest investment of $35,000 at 4% interest, compound quarterly?
Round to the nearest cent.
Answers
1.06 is the mutiplier.
A=35000(1+1/100)^4×6
A=$44440.7127
A=$44441
Which ordered pairs lie on the graph of the exponential function f(x)=4(5)2x?
Select each correct answer.
(−1,4/25)
(0,0)
(1,4)
(2,2500)
Answers
A college student borrows $3,000 for 3 months to pay for a semester of school. If the interest is $61.88 find the monthly payment
Answers
Amount borrowed = $3,000
Interest = $61.88
Duration = 3 months
Obligation = 3000 + 61.88 = 3061.88
Monthly payment = 3061.88/3 = $1,020.63
Answer: $1,020.63
The student must make monthly payments of $1,020.63 to repay the $3,000 loan with $61.88 in interest over 3 months.
The student has borrowed $3,000 for 3 months and the interest incurred on this loan is $61.88. To find the monthly payment, we need to add the total interest to the principal borrowed and then divide it by the number of payments (which is 3 in this case).
The total repayment amount is calculated as $3,000 principal + $61.88 interest = $3,061.88.
Now, we divide the total repayment amount by the number of monthly payments:
Monthly Payment = Total Repayment Amount / Number of Payments
Monthly Payment = $3,061.88 / 3
Monthly Payment = $1,020.63
Therefore, the student will need to make monthly payments of $1,020.63 to repay the $3,000 loan over 3 months.
Maddie plays 16 Games of tennis. Her went to loss ratio is 10 to 6. She is expected to play 12 more games during the season. How many do you expect her to win
Answers
Which graph represents the inequality y<−1+2x?
Answers
BRAINLIEST TO BEST ANSWER
What are the domain and range of the function
Answers
the arrows on the end of the line means it continues
both the domain and the range for this graph is negative infinity to infinity
Assume the ball passes through the points (3,8), (5,20/3), and (6,5) . Use this data to set up a system of three equations and three unknowns (a, b, and c) that will allow you to find the equation of the parabola. Write the system in the space provided.
Answers
[tex]y=ax^2+bx+c[/tex]
Here, you've been given the x and y values for three points on the parabola, and you've been asked to set up a system of equations that include those three points. All this problem is really asking is to plug each of those values into the general equation.
The system should look like:
[tex]\begin{array}{lcl} 3^2a+3b+c & = & 8 \\ 5^2a+5b+c & = & 20/3 \\ 6^2a+6b+c & = & 5 \end{array}[/tex]
Which, when simplified, looks like:
[tex]\begin{array}{lcl} 9a+3b+c & = & 8 \\ 25a+5b+c & = & 20/3 \\ 36a+6b+c & = & 5 \end{array}[/tex]
To solve this question:
First, we need to know the standard equation of a parabola.Then, with the three points given, we can build a system of three equations.Doing this, we get that the system is, with the 3 equations:
[tex]9a^2 + 3b + c = 8[/tex]
[tex]75a + 15b + 3c = 20[/tex]
[tex]36a + 6b + c = 5[/tex]
Equation of a parabola:
A parabola is a second degree polynomial, having an standard equation of:
[tex]y = ax^2 + bx + c, a \neq 0[/tex]
Point (3,8)
This means that when [tex]x = 3, y = 8[/tex]. So
[tex]y = ax^2 + bx + c, a \neq 0[/tex]
[tex]8 = a\times3^2 + 3b + c[/tex]
[tex]9a^2 + 3b + c = 8[/tex]
Thus, [tex]9a^2 + 3b + c = 8[/tex] is the first equation.
(5,20/3)
This means that when [tex]x = 5, y = \frac{20}{3}[/tex]. Thus
[tex]y = ax^2 + bx + c, a \neq 0[/tex]
[tex]\frac{20}{3} = a\times5^2 + 5b + c[/tex]
[tex]25a + 5b + c = \frac{20}{3}[/tex]
[tex]75a + 15b + 3c = 20[/tex]
Thus, [tex]75a + 15b + 3c = 20[/tex] is the second equation.
(6,5)
This means that when [tex]x = 6, y = 5[/tex]. Thus
[tex]y = ax^2 + bx + c, a \neq 0[/tex]
[tex]5 = a\times6^2 + 6b + c[/tex]
[tex]36a + 6b + c = 5[/tex]
Thus, [tex]36a + 6b + c = 5[/tex] is the third equation.
After all, the system of equations is:
[tex]9a^2 + 3b + c = 8[/tex]
[tex]75a + 15b + 3c = 20[/tex]
[tex]36a + 6b + c = 5[/tex]
A similar question is found at https://brainly.com/question/1440592
If y varies directly with x in the following table problem, find the constant of variation (k) and write the equation x 6,9,12,15 Y 10,15,20,25
Answers
Therefore
y = k*x
where
k = the constant of variation
The given table and the ratio of k=y/x is shown below.
x y k
--- ------ --------
6 10 1.667
9 15 1.667
12 20 1.667
15 25 1.667
Answer:
k = 1.667
y = 1.667x
Please help me asap
It's due tomorrow
Answers
-15 < 3n <= 6
-5 < n <= 2
n is an integers and must be greater than -5 and can be as great as 2.
n can be -4, -3, -2, -1, 0, 1, 2
Which point is an x-intercept of the quadratic function
f(x) = (x – 8)(x + 9)?
Answers
x-intercept means f(x) = 0
(x-8)(x+9) = 0 ⇒ x = 8 or x = - 9
There are two points which are x-intercepts. They are (8,0) and (-9,0).
Which graph can be used to find the solution(s) to x2 – 1 = x + 1?
Answers
Let
[tex]f(x)=x^{2}-1[/tex]
[tex]g(x)=x+1[/tex]
we know that
The function f(x) is a vertical parabola open upward
the vertex is the point [tex](0,-1)[/tex] ------> is a minimum
The function g(x) is a linear equation
The y-intercept is the point [tex](0,1)[/tex] -----> for [tex]x=0[/tex] find the value of g(x)
therefore
the answer in the attached figure
The graph that can be used to find the solution of the given polynomial is given by option C) and this can be determined by using the given data.
Given :
Equation --- [tex]x^2 -1 = x+1[/tex]
The following steps can be used in order to determine the graph that can be used to find the solution of the given polynomial:
Step 1 - Separate LHS and RHS of the given polynomial.
[tex]\rm y = x^2-1[/tex] --- (1)
y = x + 1 --- (2)
Step 2 - Draw the graph of a line (y = x + 1) that passes through the points (-1,0) and (0,1).
Step 3 - Now, draw the graph of the equation (1). The shape of this graph is the upward parabola.
Step 4 - The two graphs intersect each other at (-1,0) and (2,3).
From the above steps, it can be concluded that the correct option is C).
For more information, refer to the link given below:
https://brainly.com/question/14375099
Match the inequality to the graph of its solution.
a. c + 7 ≤ 3
b. c - 3 > 1
c. c - 7 < 3
Answers
case a) [tex]c+7 \leq 3[/tex]
[tex]c+7 \leq 3\\ c\leq3-7\\c\leq -4[/tex]
the solution is the interval-------> (-∞,-4]
the answer case a) in the attached figure
case b) [tex]c-3 > 1[/tex]
[tex]c-3 > 1\\c > 1+3\\c> 4[/tex]
the solution is the interval-------> (4,∞)
the answer case b) in the attached figure
case c) [tex]c-7< 3[/tex]
[tex]c-7< 3\\ c<3+7\\ c< 10[/tex]
the solution is the interval-------> (-∞,10)
the answer case c) in the attached figure
Inequalities are used to represent unequal expressions.
Graph (b) represents [tex]\mathbf{c + 7 \le 3}[/tex]Graph (c) represents [tex]\mathbf{c - 3 > 1}[/tex]Graph (a) represents [tex]\mathbf{c - 7 < 3}[/tex][tex]\mathbf{(a)\ c + 7 \le 3}[/tex]
Subtract 7 from both sides
[tex]\mathbf{c \le -4}[/tex]
The above means that:
The graph points leftThe graph starts at -4, with a closed circleHence, graph (b) represents [tex]\mathbf{c + 7 \le 3}[/tex]
[tex]\mathbf{(b)\ c - 3 > 1}[/tex]
Add 1 to both sides
[tex]\mathbf{c > 4}[/tex]
The above means that:
The graph points rightThe graph starts at 4, with an open circleHence, graph (c) represents [tex]\mathbf{c - 3 > 1}[/tex]
[tex]\mathbf{(c)\ c - 7 < 3}[/tex]
Add 7 to both sides
[tex]\mathbf{c < 10}[/tex]
The above means that:
The graph points leftThe graph starts at 10, with an opened circleHence, graph (a) represents [tex]\mathbf{c - 7 < 3}[/tex]
Read more about inequalities at:
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Ohhhhhhh! I have a Brainliest
Answers
If correct brainliest please
Thank you
:)
Find the total area of the solid figure with the length, 3 width 5, and height 6
Answers
Good Luck
A = 3 x 5 x 6
A = 90
Solve the equation the square root of the quantity x minus 6 plus 2 equals 6 for the variable. Show each step please. Remember the X - 6 is under a square root sign
Answers
sqrt(x-6) = 4
sqrt(x-6) squared = 4 squared
x-6 = 16
x = 10
Consider the equation below. log4 (x+3)=log2 (2x). Which system of equations can represent the equation?
Answers
[tex]log_{4} (x+3) = \frac{log_{2} (x+3)}{log_{2}4} [/tex]
Therefore, given
log₄(x+3) = log₂(2x), obtain
[tex] \frac{log_{2}(x+3)}{log_{2}4}=log_{2} (2x) \\ log_{2}(x+3) = log_{2}4 log_{2}(2x) \\ x+3 = (2x)^{log_{2}4} [/tex]
Because
log₂4 = log₂ 2² = 2 log₂ 2 = 2, therefore
x + 3 = (2x)² = 4x²
4x² - x - 3 = 0
This factorizes into
(4x + 3)(x - 1) = 0
Answer:
4x² - x - 3 = 0
or
4x + 3 = 0, and
x - 1 = 0
How to find the distance between two lines in 3d?
Answers
Answer:
Step-by-step explanation:
Emma read the statement “the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5.” She translated it as shown below.
Answers
Emma should have used division to represent the quotient of six and x, and she should have used parentheses to show that -2 is multiplied by (4.5 - x). Hence the correct options are 1 and 5.
Emma made two errors in translating the statement "the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5." First, instead of representing the quotient of six and x, she incorrectly wrote 6x, which implies multiplication rather than division. The correct representation should be 6/x.
Second, Emma failed to use parentheses to show that -2 is multiplied by the difference of x and 4.5. The correct expression should be -2(x - 4.5) to ensure proper order of operations. These errors impact the accuracy of the translated equation, and correcting them would yield a more faithful representation of the original statement. Hence the correct options are 1 and 5.
Complete question:
Emma read the statement "the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5." She translated it as shown below 6x=-2x-4.5 What errors did Emma make? Select two options
She should have used division to represent the quotient of six and x.
She should not have included an equal sign.
She should have used parentheses to show that -2 is multiplied by (x-4.5).
She should have subtracted the difference (x-4.5) from -2.
She should have used parentheses to show that -2 is multiplied by (4.5-x).
Emma made the following errors in her translation:
E. She should have used parentheses to show that -2 is multiplied by (x-4.5). Emma’s equation, 6x = -2x - 4.5, lacks parentheses around the expression (x-4.5). To correctly represent the difference of x and 4.5 being multiplied by -2, she should have written -2(x-4.5).
D. She should have subtracted the difference (x-4.5) from -2. Emma’s equation does not correctly account for the subtraction of the difference (x-4.5) from -2. The correct equation should be 6x = -2(x-4.5).
The other options are not relevant to Emma’s specific errors in translating the statement.
Emma made the following errors in her translation:
E. She should have used parentheses to show that -2 is multiplied by (x-4.5). Emma’s equation,
6x = -2x - 4.5, lacks parentheses around the expression
(x-4.5). To correctly represent the difference of x and 4.5 being multiplied by -2
, she should have written
-2(x-4.5)
.D. She should have subtracted the difference(x-4.5) from -2
. Emma’s equation does not correctly account for the subtraction of the difference
(x-4.5)
from
-2
The correct equation should be
6x = -2(x-4.5)
Complete question:
Emma read the statement "the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5." She translated it as shown below 6x=-2x-4.5 What errors did Emma make? Select two options
A. She should have used division to represent the quotient of six and x.
B. She should not have included an equal sign.
C. She should have used parentheses to show that -2 is multiplied by (x-4.5).
D. She should have subtracted the difference (x-4.5) from -2.
E. She should have used parentheses to show that -2 is multiplied by (4.5-x).
The ratio of computers to desk is 2 to 3. If there are 15 desk, how many computers are there?
Answers
The ratio of computers to desk is 2 to 3
2 x 3 = 6 (computers)
3 x 3 = 9 (desks)
answer
6 computers
To find the number of computers given the ratio of computers to desks and the number of desks, set up a proportion and solve for the unknown value.
Explanation:In this question, we are given the ratio of computers to desks, which is 2 to 3. We are also given the number of desks, which is 15. To find the number of computers, we can set up a proportion:
2 computers / 3 desks = x computers / 15 desks
By cross-multiplying and solving for x, we find that there are 10 computers.
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N a contest, a total of $12,000 was divided among the first, second, and third-place winners in the ratio of 3 to 2 to 1, respectively. how much did the first-place winner receive
Answers
The first Winner
3/6 × 12,000 = $6,000
The Second Winner
2/6 × 12,000 = $ 4,000
The Third Winner
1/6 × 12,000 = $2,000
How to find slope when there is the y intercept and x-intercept?
Answers
[tex] \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} [/tex]
that's the equation used to find your slope
Example:
(4,2) (8,6) let's say those are the points you pick from the line
so then you subtract 6-2=4 (6 is your y2 and 2 is your y1)
then subtracts 8-4=4 (8is your x2 and 4 is your x1)
then your left with
[tex] \frac{2}{4} [/tex]
if you can reduce the reduce in this case you can which leaves you with
[tex] \frac{1}{2} [/tex]
and that's how you find the slope
How do you find a literal equation for d=rt,
solve for t.
Answers
d/r = t divide both sides by r
t = d/r <<< the equation
hope this helped, God bless!
Answer: [tex]\frac{d}{r} = t[/tex]
Step-by-step explanation: To solve for t in the equation d = rt, all we have to do is get t by itself on the right side of the equation.
Since t is being multiplied by r, we simply divide both sides of the equation by r. On the right, the r's cancel and we are left with r.
On the left side of the equation we have [tex]\frac{d}{r}[/tex].
Therefore, our answer is [tex]\frac{d}{r} = t[/tex].
A company donates 935 pencils to a shcool the pencil are divided evenly amog 9classroom the rest goes to the library how many pencil were donated to the schooland the library
Answers
Answer:
103.8
Step-by-step explanation:
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