Answer:
(6, -5) (Answer C)
Step-by-step explanation:
Multiply the first equation by 2. We get the following equivalent system:
4x + 2y = 14
x - 2y = 16
------------------
5x = 30, or x = 6.
Substituting 6 for x in the second equation, we get
6 - 2y = 16, or
- 2y = 10, so that y = -5
and the solution is (6, -5) (Answer C)
Given: Line A B intersects Line D E at point C.
Prove: AngleDCB Is-congruent-toAngleECA
Line D E intersects line B A at point C.
A 2-column table with 6 rows. Column 1 is labeled statements with the entries line A B intersects line D E at point C, angle D C B and angle B C E are a linear pair, angle D C B is supplementary to angle B C E, angle B C E and angle E C A are a linear pair, angle B C E is supplementary to angle E C A, angle D C B is-congruent-to angle E C A. Column 2 is labeled reasons with the entries given, definition of linear pair, linear pair post, definition of linear pair, question mark, congruent to supplementary theorem.
What is the missing reason in step 5?
linear pair postulate
given
definition of complementary angles
congruent complements theorem
Answer:
linear pair postulate
Step-by-step explanation:
The linear pair postulate is the missing step.
What's the meaning of a linear pair of lines?Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.
What is a Postulate?Postulate statement received without evidence. Axiom is any other name for postulate. for instance, if you understand that Pam is 5 feet tall and all her siblings are taller than her, don't trust her if she says that all her siblings are at the least 5 toes tall.
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another one! what is 7x-8x=23? will mark brainliest!
Answer:
7x-8x=23
-1x=23
x=-23
Step-by-step explanation:
7x - 8x = 23
-x = 23
x = -23
......
Order the side lengths of the triangle from shortest
to longest.
aco
c
57
63
60
Note: Figure not necessarily drawn to scale.
Answer:
Step-by-step explanation:
57
60
63
[tex]18-\sqrt{} -25[/tex]
Answer:
-(i×5) + 18
Step-by-step explanation:
Simplify the following:
-sqrt(-25) + 18
sqrt(-25) = sqrt(-1) sqrt(25) = i sqrt(25):
18 - i sqrt(25)
sqrt(25) = sqrt(5^2) = 5:
Answer: -(i×5) + 18
pls help help me need help!!
Answer:
50 feet
Step-by-step explanation:
[tex]\mid -20 \mid +\mid 30\mid = \\\\20+30= \\\\50[/tex]
Hope this helps!
Answer:
50
Because you just a
on the -20 is a abouloute number which its going to be a postive number so i add the 20 + 30
Please answer the attachment below and say which number goes in the first or second, etc.
Answer:
use calculator
Step-by-step explanation:
1/500=0.002
3 2/25=308%
2.6=2 6/10
0.25%=0.0025
Answer:
They are actually in the correct order left to right !
Step-by-step explanation:
1/500 is 0.002 because 0.002 is pronounced "two thousandths" and 0.001 is pronounced "one thousandth", but it's written as 0.001 OR the fraction 1/1000! Using this you can infer that "two thousandths" is twice as large as 1/1000.
1/25 is 0.04, so 2/25 is 0.08 add the 3 and get 3.08. When displayed percentages in decimal form 100% = 1, so 300% = 3, therefore 308% = 3.08.
In the number 2.6 the decimal .6 is in the TENTHS place and so you can formally say this as "two and six tenths", which how the fraction 2 6/10 is also said!
As stated above when displaying percentages in decimal form:
100% = 1,
25% = 0.25,
1% = 0.01,
0.25% = 0.0025!
In Macy’s, a coat has a regular price of x dollars. During a sale, the price of the coat is discounted by 20%. The expression 0.8x describes the discounted price, in dollars, of the coat. Which expression also describes the discounted price, in dollars, of the coat?
plz help me
Answer:
(1-20%)x or (1-0.2)x or x-0.2x
Step-by-step explanation:
A measure of the average value of a population is called
Answer:
the census
Step-by-step explanation:
this is when info about every member of population is collected
In a certain board game, a number cube is rolled to determine the number of spaces a player gets to move. Use the table above to determine the expected value of the number of spaces a player moves. Round the answer to the nearest tenth. 1.0 1.3 2.2 13.0
Answer:
A. 1.0
B. 1.3
C. 2.2
D. 13.0
Answer:
B.
Step-by-step explanation:
Which correlation coefficient corresponds to the best-fit line that most closely models its set of data?
Question 6 options:
a)
-0.15
b)
-0.87
c)
0.13
d)
0.84
Help please somebody
Answer:
10n + 4
Step-by-step explanation:
$10 * n games + $4 since $10 per game + the flat rate
Answer:
4n+10
Step-by-step explanation:
Factor the perfect square trinomial x2 - 12x + 36.
Answer:
(x - 6)(x - 6)
Step-by-step explanation:
-6 + -6 = -12
-6 * -6 = 36
meaning -6 in in both
if you want to find x
x = 6
Answer:
6
Step-by-step explanation:
x2-12x+36=0
find a two numbers that add to -12 and multiply to 36
-6 and -6
(x-6)(x-6)=0
x-6=0 x-6=0
x=6 x=6
Which equation represents the graphed function?
HELP ASAP
Answer:
The answer is A.
Step-by-step explanation:
Since the graph is a downward slope, we want to make the 'x' variable a negative. If we pretend that the graph goes up, then it goes up once, being the denominator, and right three times, before being the numerator. This gives you 3/1, which simplifies to 3. The Y intercept where the graph crosses the Y axis is 0,3, which since 3 is the Y variable, that's what we're going with. Henceforth, A is your answer.
ray bought the seven books shown below as well as an eighth book. the eighth book was $21.90. what was the price of the eighth book ?
Answer:
$21.90
Step-by-step explanation:
You say that in the question "the eighth book was $21.90". Please rephrase if that is not what you meant :)
The picture is up there (thank you!)
Answer:
$7.52
Step-by-step explanation:
It adds 0.34 dollars every month...
Hope this helps (:
A student solved the following system of equations
incorrectly using these steps:
2x + 5y = 13
-x + 4y = 13
What error did the student make?
In line 2, the student forgot to multiply the
right side of the equation by 2.
In line 3, the student should have subtracted
the equations instead of adding them.
In line 3, the student added the two equations
incorrectly
In line 5. the student used an incorrect
equation when solving for x
1 2x + 5y = 13
2 + -2x + 8y = 13
3
13y = 26
4
y = 2
DONE
5
6
7
8
2x + 5(2) = 13
2x + 10 = 13
2x 3
X = 1.5
The solution to the system is (1.5.2).
5Intro
Answer:
if the solution to the system is 1.5 and 2
Then the mistake was in line 2 the student should have subtracted the eqations instead of adding them.
Step-by-step explanation:
if y = 2
Then 8y -5y = 3y
4x -x = (4 = 1.5 x 2 2/3) =4 if x = 1.5
3y = 2 2/3 = 3 if y = 2
The ratio stays the same.
The student mistake was in line 2, the student forgot to multiply the
right side of the equation by 2.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given:
2x + 5y = 13
-x + 4y = 13
The first steps are correct.
In second step the LHS and RHS both should be multiplied by 2.
So,
-2x + 8y = 26
But, the student only multiply 2 on the LHS side.
Hence, the student mistake was in line 2, the student forgot to multiply the right side of the equation by 2.
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The sum of two numbers is 58. Their difference is 12. Find the numbers.
Given the objective function C=3x−2y and constraints x≥0, y≥0, 2x+y≤10, 3x+2y≤18, identify the corner point at which the maximum value of C occurs.
Answer:
Step-by-step explanation:
Find the maximum value of
C = 3x -2y Objective function
subject to the following constraints.
Constraints
x ≥ 0
y ≥ 0
2x + y ≤ 10 vertex 1 : when x=0 then y=10 (0,10)
3x + 2y ≤ 18 vertex 2 : y=0, then x=6 ( 6,0)
two equations together to determine vertex 3 :
3x+2y = 18
2x+y = 10
x=2, y= 6
The feasible region determined by the constraints is
shown. The three vertices are (0, 10), and (6, 0), (0,9)
and (2,6)
First evaluate C = 3x -2 y at each of the vertices.
At (0, 10): C = 3(0) - 2(10) = -17
At (6, 0): C = 3(6) - 2(0) = 18
At ( 2,6) : C = 3(2) -2(6) = -6
At (0,9) : C = 3(0)-2(9)= -18
the maximum value occur on 18 when x=9 and y=0
Given the objective function is [tex]C=3x-2y[/tex] and the contraints as follows:
[tex]x\geq 0\\ y\geq 0\\ 2x+y\leq 10\\ 3x+2y\leq 18[/tex]
Find the intersecting point of [tex]x=0[/tex] and [tex]2x+y=10[/tex].Substitute 0 for [tex]x[/tex] in [tex]2x+y=10[/tex].
[tex]2(0)+y=10\\ y=10[/tex]
So, the intersecting point is [tex](0,10)[/tex].
Find the intersecting point of [tex]y=0[/tex] and [tex]2x+y=10[/tex].Substitute 0 for [tex]y[/tex] in [tex]2x+y=10[/tex].
[tex]2x+0=10\\ 2x=10\\ x=5[/tex]
So, the intersecting point is [tex](5,0)[/tex].
Find the intersecting point of [tex]x=0[/tex] and [tex]3x+2y=18[/tex].Substitute 0 for [tex]x[/tex] in [tex]3x+2y=18[/tex].
[tex]3(0)+2y=18\\ 2y=18\\ y=9[/tex]
So, the intersecting point is [tex](0,9)[/tex].
Find the intersecting point of [tex]y=0[/tex] and [tex]3x+2y=18[/tex].Substitute 0 for [tex]y[/tex] in [tex]3x+2y=18[/tex].
[tex]3x+2(0)=18\\ 3x=18\\ x=6[/tex]
So, the intersecting point is [tex](6,0)[/tex].
Find the intesecting point of [tex]2x+y=10,3x+2y=18[/tex].Add [tex]-2[/tex] times [tex]2x+y=10[/tex] to [tex]3x+2y=18[/tex].
[tex]-2(2x+y)+3x+2y=-2(10)+18\\ -4x-2y+3x+2y=-20+18\\ -x=-2\\ x=2[/tex]
Substitute [tex]x=2[/tex] in [tex]2x+y=10[/tex]:
[tex]2(2)+y=10\\ 4+y=10\\y=6[/tex]
So, the intersecting point is [tex](2,6)[/tex].
The origin [tex](0,0)[/tex] is also a intersecting point of [tex]x\geq 0,y\geq 0[/tex].Corner points:
The corner points are the boundary points of the bounded region of the given constraints.
The bounded region of the given constraints is shown below.
From the graph notice that the shaded region is the required bounded region of the given constraints.The boundary points are [tex](0,0),(5,0),(0,9),(2,6)[/tex].Evaluate the objective function [tex]C=3x-2y[/tex]at these boundary points:
At [tex](0,0)[/tex]:
[tex]C=3(0)-2(0)\\C=0[/tex]
At [tex](5,0)[/tex]:
[tex]C=3(5)-2(0)\\C=15[/tex]
At[tex](0,9)[/tex]:
[tex]C=3(0)-2(9)\\C=-18[/tex]
At[tex](2,6)[/tex]:
[tex]C=3(2)-2(6)\\C=6-12\\C=-6[/tex]
From the above calculated values, one can notice that the maximum value of [tex]C[/tex] is 15 and it is obtained at [tex](5,0)[/tex].
Hence, the maximum value of [tex]C[/tex] is 15 occurs at the corner point [tex](5,0)[/tex].
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The red figure is the transformed image of the blue figure. Malcolm correctly identifies a sequence of two transformations that can move the blue figure onto the red figure. Ursa correctly identifies a single transformation that can be used. Use the drop-down menus below to complete the statements describing the transformations they used.
Answer:
Step-by-step explanation:
Malcolm's transformation:
First, the blue image is reflected about the line y=-5
Then it is rotated 180 degrees around the point (0,-5)
(you can have other options this is just one example)
Ursa's transformation:
The blue image is reflected about the y axis
(you can have other options this is just one example)
First the blue image with coordinates (x, -y) is translated to get (-x, -y) then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.
What is transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
First the blue image is translated
Then it is rotated 180° to get the red figure with coordinates (-x, -y)
Two transformation that is equivalent to a reflection
Hence, the two transformations are;
First the blue image with coordinates (x, -y) is translated to get (-x, -y)
Then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.
For more references on transformations, click;
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Which of the following represents 4x 3 in exponential form?
Answer:
4x3 in exponential from is: (3) (3) (3) (3)
Step-by-step explanation:
As you can see, there are 4 groups of 3. It can also be the other way around.
3x4 = (4) (4) (4) There are 3 groups of 4
hope this helped :3
Answer:
4x3 in exponential form is 3*3*3*3
Step-by-step explanation:
In the diagram shown,
ABCE is a trapezium,
AD is parallel to BC,
DE = 4cm,
Area of ABCE = 60cm^2,
Area of ABCD = 48cm^2,
Work out the values of f and g.
You must show all your working.
The values of f and g are;
f = 6
f = 6g = 8
We are given the trapezium ABCE where;
AD is parallel to BC
DE = 4 cm
Area of ABCE = 60 cm²
Area of ABCD = 48 cm²
f and g are sides of the rectangle ABCD. Thus;
fg = 48 - - - (eq 1)
Also,for the trapezium ABCE;
½(g + g + 4)f = 60
(2g + 4)f = 120 - - - (eq 2)
From eq 1, f = 48/g
Thus;
(2g + 4) × (48/g) = 120
96 + 192/g = 120
192/g = 120 - 96
192/g = 24
g = 192/24
g = 8
Thus;
8f = 48
f = 48/8
f = 6
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The deepest part of the Mariana trench (the deepest trench in the world’s oceans) is at an elevation of -11.033 kilometers. The elevation of the deepest part of the Atacama trench is -8.065 kilometers. What is the net change in elevation from the Atacama trench to the Mariana trench?
Answer:
The answer is -2.968
Step-by-step explanation:
I took the test and got it right unlike the other person who got it wrong for me.
The sum of 2 numbers is 24. One number is equal to four times the second number added by 4. Determine the two numbers.
Answer: smaller number is 4, bigger number is 20
Step-by-step explanation:
24 - 4 = 20
4 * 4 = 16
20 - 16 = 4
Answer:
4 and 20.
Step-by-step explanation:
Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0, –1) D) (–2, –5)
Answer:
Option D.
Step-by-step explanation:
Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).
Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.
Therefore, x = [tex]\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}[/tex]
= -[tex]\frac{16}{8}[/tex]
= -2
and y = [tex]\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}[/tex]
= [tex]-\frac{40}{8}[/tex]
= -5
Therefore, the point (x, y) is (-2, -5).
Option D. will be the answer.
The external angle of a regular polygon is 200 . How many sides does it have ? What is the measure of each interior angle? What is the total measure of its angles.
Answer:
An 18 sided shape.
Since the sum of the exterior angles of a polygon is 360° and an angle of the regular polygon is 20°, then 360° / 20° is the number of sides. We find the answer = 18, an octadecagon
answer please need help and is struggling
Answer:
q < 5
Step-by-step explanation:
Since there is an open circle it means there is no equal sign
The line goes to the left so it is less then q < 5
Answer:
q<5
Step-by-step explanation:
The sign is < because the arrow is point left and has an open circle. 5 because that is where the arrow starts.
The parabola y=x^2 is shifted down by 3 units and to the left by 2 units.What is the equation of the new parabola?
Answer:
y=(x+2)²-3
Step-by-step explanation:
when y=x² shifted 3 units down
its eq. is y=x²-3
when it is also shifted 2 units left then its eq. is
y=(x+2)²-3
Diana and marie went out for lunch. Their Food and beverages cost $26.00 and there is an 8% meals tax. How much do they pay in total? Show your work.
Picture 1: What is the value of x in this circle?
Picture 2: What is the degree measure of arc HG?
Answer:
Picture 1 x = 43°
Step-by-step explanation:
Picture 1 - When a triangle is formed inside a semicircle, two lines from either side of the diameter meet at a point on the circumference at a right angle.
180 - 47-90= 43° = x
HELP ASAP 100 POINTS!!!
The table of values represents the function g(x) and the graph shows the function f(x).
Which statement about the functions is true?
1. f(x) is greater than g(x) for all values of x.
2. f(x) and g(x) have the same y-intercept.
3. f(x) and g(x) intersect at two points.
4.f(x) and g(x) have a common x-intercept.
===========================================================
Explanation:
For me, it helps to graph everything on the same xy coordinate system. Start with the given graph and plot the points shown in the table. You'll get what you see in the diagram below.
The blue point C in that diagram is on the red parabola. This point is the x intercept as this is where both graphs cross the x axis. Therefore, they have a common x intercept.
------------
Side notes:
Choice 1 is not true due to choice 4 being true. We have f(x) = g(x) when x = 2, which is why f(x) > g(x) is not true for all x.Choice 2 is not true. Point B is not on the parabola.Choice 3 is not true. There is only one known intersection point between f(x) and g(x), and that is at the x intercept mentioned above. Of course there may be more intersections, but we don't have enough info to determine this.