Answer:
The coordinates of ABC are respectively (-2,2), (-2,3), and (1,2).
Step-by-step explanation:
Dilation About the Origin
Given a point P(x,y), its dilation about the origin by a scale factor of k maps the point to a point P'(kx,ky).
If we are given the dilated point, then we can find the original point by dividing by the scale factor.
Triangle ABC was dilated by a scale factor of 2 about the origin mapping it to triangle A'B'C' with vertices A'(-4,4), B'(-4,6), and C(2,4).
The coordinates of triangle ABC are:
A=(-4/2,4/2) = (-2,2)
B=(-4/2,6/2) = (-2,3)
C=(2/2,4/2) = (1,2)
The coordinates of ABC are respectively (-2,2), (-2,3), and (1,2).
Answer:
The coordinates of ABC are (-2,2), (-2,3), and (1,2).
Step-by-step explanation:
A box has length 8 feet, width 4 feet, and height 3 inches. Find the volume of the box in cubic feet and in cubic inches.
The volume of a box in cubic inches = 13,824 cubic inches
The volume of a box in cubic feet = 8 cubic feet
What is the Volume of a box?The volume of a box = (length)(width)(height).
Give the following:
Length of the box = 8 feet
Width of the box = 4 feet
Height of the box = 3 inches
Convert the length and width to inches (1 foot = 12 inches)
Length of the box = 8 feet = (8)(12) = 96 inches
Width of the box = 4 feet = (4)(12) = 48 inches
Height of the box = 3 inches = 3/12 = 0.25 ft
The volume of a box in cubic inches = (96)(48)(3) = 13,824 cubic inches
The volume of a box in cubic feet = (8)(4)(0.25) = 8 cubic feet
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30 points plz answer quickly easy graphing terms
The function f(x)= negative StartRoot negative x EndRoot is shown on the graph.
On a coordinate plane, an absolute value graph starts at (0, 0) and goes down and to the left through (negative 4, negative 2).
Which statement is correct?
The range of the graph is all real numbers greater than or equal to 0.
The domain of the graph is all real numbers greater than or equal to 0.
The range and domain of the graph are the same.
The domain of the graph is all real numbers.
Answer:
The domain of the graph is all real numbers.
Step-by-step explanation:
The equation that is set for this problem is y = |x+2| − 4. When finding the domain and range of this function, the domain and range is:
Domain: (−∞,∞), {x|x∈ℝ} ⇒ (The domain (x-values) is all real numbers
Range: [−4,∞), {y|y≥−4} ⇒ (The range (y-values) need to be greater than or equal to −4)
So, according to this information and we look at the statements, out of the four, the correct option is “the domain of the graph is all real numbers”.
Hope this helps! :)
Answer:
DONT LISTEN TO OTHER GUY real answer is C :The range and domain of the graph are the same
Step-by-step explanation:
write an expression that is equivalent to 1/3x+3/4+2/3x-1/4-2/3x
giving brainliest
Answer:
1/3x + 1/2
Step-by-step explanation:
1/3x + 3/4 + 2/3x - 1/4 - 2/3x
Combine like terms
1/3x + 2/4
Simplify
1/3x + 1/2
Answer:
1/3x + 1/2
Step-by-step explanation:
Iready I checked it and it was right
Why does this curve slope more steeply upward as time increases? What is the domain of this function? What is the range?
Answer:
The curve becomes more steeply upward because the runner is gradually building up speed.
Domain [0,11]
Range [0,100]
A photographer charges $75 for a photo session and $12 for each sheet of photos the
Customer buys. Whích function can be used to find c, the total cost of a photo sessíon
if the customer buys p sheets of photos?
7
C= 75p- 12
c= 12p - 75
C= 12p + 75
C= 75p+ 12
A
C
D
Answer: C (c=12p + 75)
Step-by-step explanation:
PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!!!
Answer:
the answer is B
Step-by-step explanation:
I know this because I'm a genius
PLEASE HELP I WILL GIVE YOU BRAINLIST I NEED HELP PLEASE
Answer:
One Solution
Step-by-step explanation:
Do distributive property
3k+6+3+7k=2k+4+3k
Combine like terms
10k+9=5k+4
Subtract 5k from 10k
5k+9=4
Subtract 9 from 4
5k=-5
Divide
k=-1
Hope this helped, Have a Wonderful Day!!
-1/2 w -3/5= 1/5 w...
Answer:
w= (-6/7)
Step-by-step explanation:
Answer:
w = -6/7
Step-by-step explanation:
−
10
7
(
−
7
a
10
)
=
−
10
7
⋅
3
5
PLEASE HELP! WILL MARK BRAINLIEST
Eva and her children went into a restaurant where they sell hamburgers for $8 each and tacos for $4 each. Eva has $120 to spend and must buy no less than 20 hamburgers and tacos altogether. Also, she must buy at least 18 tacos. If a represents the number of hamburgers purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
y ≤ -2x + 30
y ≥ -x +20
y ≥ 18
2 hamburgers, 18 tacos
Step-by-step explanation:
8x+4y ≤ 120
x + y ≥ 20
y ≥ 18
PLEASE HELP ME WITH THIS PLEASE HELP SHOW FULL WORK ?
Answer: ok the first one is 45 i think and the second one is 7
Step-by-step explanation:
Write the slope-intercept form of the equation of the line described.
7) through: (4,0), parallel to y=-x+ 2
8) through: (4,3), perp. to y=-*-1
9
7)
Given the line
[tex]y=-x+2[/tex]
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
here
m is the slope and b is the intercept
Thus, the slope = -1
We know that the parallel lines have the same. Thus, the slope of the parallel line is: -1
Using point-slope of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = -1 and the point (4, 0)
[tex]y-0 = -1 (x-4)[/tex]
Writing in the slope-intercept form
[tex]y = -x+4[/tex]
Thus, the slope-intercept form of the equation of the line equation parallel to y=-x+ 2 will be:
[tex]y = -x+4[/tex]8)
Note: Your line is a little bit unclear. But, I am assuming the
ine is: y = -x-1
Given the assumed line
y = -x-1
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
here
m is the slope and b is the intercept
Thus, the slope = m = -1
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -1
perpendicular slope = – 1/m = -1/-1 = 1
Using point-slope of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 1 and the point (4, 3)
[tex]y - 3 = 1 (x-4)[/tex]
Writing in the slope-intercept form
y-3 = x-4
y = x-4+3
y = x - 1
Thus, the slope-intercept form of the equation of the line equation perpendicular to y = -x-1 will be:
y = x - 1please help me due today I will give brainiest
complete each function table. Then state the Domain and range of the function.
If the perimeter is 82cm and the length is 30cm, what is the width
Answer: 11cm
Step-by-step explanation:
2(30)+2x=82
60+2x=82
2x=22
x=11
Find m< RQS . How can do I solve this
Step-by-step explanation:
6x° = (2x + 3)° + 77° (Exterior angle of a triangle = sum of two interior angle )
6x = 2x + 3 +77
subtract 2x from both sides
6x - 2x = 2x - 2x + 3 + 77
4x = 3 + 77
4x = 80
therefore:
x = 20°
angle PQR = 120°
angle RSQ = 43 i.e [(2 x 20) + 3)]
What is the perimeter of the triangle?
unit
Answer:
Step-by-step explanation:
Hey, i can't view the boxes well.
Count the boxes the trangle intersects in the base and use it as your base.
find the same with height.
After that find their Hypotenuse using the Pythagoras theory.
Then find the perimeter of the triangle by adding the two hypotenuse and base.
what variable is used to represent SLOPE?
Answer:
M is used to represent the slope.
Step-by-step explanation:
Y = MX + C
Answer:
m is used to represent the slope
Step-by-step explanation:
y=mx+b
The predetermined manufacturing overhead rate for a company will generally be:______
A. Higher than actual manufacturing overhead rates
B. Based on monthly budgets
C. Lower than actual manufacturing overhead rates
D. Based on annual budgets
Answer: D. Based on annual budgets
Step-by-step explanation:
The predetermined manufacturing overhead rate for a company will based on the annual budgets.
The predetermined overhead rate is usually calculated during the beginning of an accounting period and this is gotten by dividing the manufacturing overhead that has been estimated by an estimated activity base. It is used in the application of the manufacturing overhead to the job orders.
I
On average, there is a 37% chance of a ship being an oil tanker. If 22 ships are scheduled to
be in port today, what is the probability that 7 of the ships are oil tankers?
Answer:
21.56
Step-by-step explanation:
Which equation has a graph that is a parabola with a vertex at (–1, –1)?
y = (x – 1)2 + 1
y = (x – 1)2 – 1
y = (x + 1)2 + 1
y = (x + 1)2 – 1
Answer:
[tex]y=(x+1)^2-1[/tex]
which agrees with the last option listed.
Step-by-step explanation:
We use the vertex form of a parabola:
[tex]y-y_v=a(x-x_v)^2[/tex]
which with the information we have becomes:
[tex]y-y_v=a(x-x_v)^2\\y-(-1)_v=a(x-(-1))^2\\y=a(x+1)^2-1[/tex]
Therefore the equation that corresponds to such vertex (-1, -1) is the last one listed among your given answer options.
[tex]y=(x+1)^2-1[/tex]
Answer:
D
Step-by-step explanation:
40 less than blank is 28
Answer: 68
Step-by-step explanation:
40 + 28 = 68
The difference of 28 and 68 is 40
Answer:
40 less than 68 is 12.
Step-by-step explanation:
Simple subtraction only. If you have 68 and you take away 40, you get 12. To check your answer you just add 40 + 12, and what do you get? 68.
which model shows 4/6 ÷ 2/6 check all that apply. For people on edge pls help
Answer:
2
Step-by-step explanation:
[tex]\frac{4}{6}[/tex] ÷ [tex]\frac{2}{6}[/tex]
= [tex]\frac{4}{6}[/tex] × [tex]\frac{6}{2}[/tex]
= 2
The distinct lines a, b, c, and d are in the same plane. Tell how a and d relate. Justify your answer.
Answer:
c
Step-by-step explanation:
There a is parallel to d because a is perpendicular to c and c is parallel to d which is the correct answer that would be option (C).
What is the coplanar?A group of points that are coplanar, or a planar surface that extends endlessly in all directions, are all located on the same plane. Four or more points may or may not be coplanar, however, any two or three points are always coplanar.
The distinct lines a, b, c, and d are in the same plane.
a⊥b, bllc, and clld
Line a is perpendicular to line b, line b is parallel to line c, and Line c is parallel to line d which is given in the question.
Line a is perpendicular to line b (given)
Line b is parallel to line c (given)
Line c is parallel to line d (given)
Thus, Line a is parallel to line d
Therefore, a is parallel to d because a is perpendicular to c and c is parallel to d.
Hence, the correct answer would be an option (C).
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Find the area of a 60 degree sector with radius 10.
Select one:
a. 209
b. 52.3
c. 188
d. 314
Answer:
(b) 52.3
Step-by-step explanation:
Given that,
Radius, r = 10
Angle, [tex]\theta=60^{\circ}[/tex]
We need to find the area of the sector. The formula for the area of the sector is given by :
[tex]A=\dfrac{\theta}{360}\pi r^2\\\\=\dfrac{60}{360}\times \dfrac{22}{7}\times (10)^2\\\\=52.3\ \text{unit}^2[/tex]
Hence, the correct option is (b).
Pls answer I need help and I need it now pls answer
Answer:
4+(x*4)
Step-by-step explanation:
Answer:
C. 4 + (x*4)
Step-by-step explanation:
The third expression does not belong with the other three.
This is because instead of multiplying the coefficient outside of the parentheses it adds, unlike the other three. As well as this instead of adding or subtracting in the parentheses it multiplies. It differs from the other three in those aspects.
I hope this helps!!
- Kay :)
Solve the systems of equations by the elimination method:
-2x + 2y = 2
-4y - 2x = -22
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Write the steps to solve the following problem. Explain your steps as you solve it.
A certain computer can perform 105 calculations per second. How many calculations can it perform in 10
seconds? Write your final answer in exponential form.
The number of calculations that a computer can perform in 10 seconds is 1050.
The exponential form of 1050 is 1.05 × 10³
Given,
The number of calculations that a computer can perform per second = 105
We have to find the number of calculations can it perform in 10 seconds.
That is,
Number calculations in 10 seconds = Number of calculations per second × 10
Number of calculations in 10 seconds = 105 × 10
Number of calculations in 10 seconds = 1050
That is, the number of calculations that a computer can perform in 10 seconds is 1050.
The exponential form of 1050 is 1.05 × 10³
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solve the quadratic equation 3x^2 - 9x + 1 = 0 Give answer to 3 significant figures
Answer:
Either, (9+√69)/6 or (9-√69)/6
Step wise:
3x²-9x+1=0-------------------(i)
comparing equation onw with (ax²+bx+c=0), we get,
a=3, b=-9, c=1
now,
using Quadratic Formula,
(-b±√b²-4ac)/2a=x
{-(-9)±√(-9)²-4.3.1}/2.3=x
(9±√81-12)/6=x
(9±√69)/6=x
Taking +(ve) sign Taking -(ve) sign
(9+√69)/6=0 (9-√69)/6=0
∴(9+√69)/6=0 ∴(9-√69)/6=0
[∵They cannot be further solved]
The solutions to the given quadratic equation are x = 2.884 and
x = 0.116.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
The given equation is 3x² - 9x + 1 =0.
Solve the equation as follows:
3x² - 9x + 1 =0
Use the quadratic formula to solve the equation:
[tex]x = \frac{-(-9)\pm\sqrt{(-9)^2-4(3)(1)}}{2(3)}\\\\x= \frac{9\pm\sqrt{81-12}}{6}\\\\x=\frac{9\pm\sqrt{69}}{6}\\\\x = \frac{9\pm8.306}{6}\\\\x=\frac{9+8.306}{6}\quad\text{ or }x=\frac{9-8.306}{6}\\\\x=2.884\quad\text{ or }x=0.116[/tex]
Hence, the solutions to the given quadratic equation are x = 2.884 and
x = 0.116.
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At a track meet, the 3 members of a relay team ran a total distance of StartFraction 3 Over 8 EndFraction of a mile. If each runner ran the same distance, how far did each person run?
StartFraction 1 Over 8 EndFraction of a mile
One-third of a mile
StartFraction 8 Over 9 EndFraction of a mile
StartFraction 9 Over 8 EndFraction miles
Answer: im thinking the answer is 9/8 cause if u multiply 3/8 by 3 , 3 goes to 3/1 as a fraction then u multiply 3/8 by 3/1 that is 9/8
Step-by-step explanation:
and i hope this is help full!
The distance ran by each person in the relay team is 1/8 miles
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Total number of members in the relay team = 3 members
Total distance covered by the 3 members of the relay team = 3/8 miles
Now the equation will be ,
The distance ran by each member of the team =
Total distance covered by the 3 members of the relay team / Total number of members in the relay team
So , The distance ran by each member of the team = ( 3/8 ) / 3
= 3/8 x 1/3
= 1/8 miles
Therefore , the distance ran by each member of the team is 1/8 miles
And , taking the sum of each person's distance , we get
1/8 + 1/8 + 1/8 = 3/8
which is the total distance covered by the 3 members
Hence , The distance ran by each person in the relay team is 1/8 miles
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Solve and graph the inequality
6X + 32 > -4
Answer:
Simplifying
6x + 32 = 180
Reorder the terms:
32 + 6x = 180
Solving
32 + 6x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-32' to each side of the equation.
32 + -32 + 6x = 180 + -32
Combine like terms: 32 + -32 = 0
0 + 6x = 180 + -32
6x = 180 + -32
Combine like terms: 180 + -32 = 148
6x = 148
Divide each side by '6'.
x = 24.66666667
Simplifying
x = 24.66666667
6x + 32> -4
6x > -4 - 32
6x > -36
x > -6