Answer:
The coordinates of A' are [tex]A'(x,y) = (5, 3.75)[/tex].
The coordinates of B' are [tex]B'(x,y) = (-2.5, 1)[/tex].
The coordinates of C' are [tex]C'(x,y) = (0.25, -3.5)[/tex].
Step-by-step explanation:
The statement is incomplete, we present the complete statement below: Triangle ABC is dilated using the dilation rule [tex]D = 0.5\cdot (x,y)[/tex] to form triangle A’B’C’. Point A is located at [tex]A(x,y) = (10, 7.5)[/tex], point B is located at [tex]B(x,y) =(-5,2)[/tex], and point C is located at [tex]C(x,y) =(0.5,-7)[/tex]. What are the coordinates of A’? What are the coordinates of B’? What are the coordinates of C’?
We proceed to calcultate the coordinates of the triangle A'B'C' hereafter:
What are the coordinates of A'?
[tex]A'(x,y) = 0.5\cdot A(x,y)[/tex] (1)
[tex]A'(x,y) = 0.5\cdot (10, 7.5)[/tex]
[tex]A'(x,y) = (5, 3.75)[/tex]
The coordinates of A' are [tex]A'(x,y) = (5, 3.75)[/tex].
What are the coordinates of B'?
[tex]B'(x,y) = 0.5\cdot B(x,y)[/tex] (2)
[tex]B'(x,y) = 0.5\cdot (-5,2)[/tex]
[tex]B'(x,y) = (-2.5, 1)[/tex]
The coordinates of B' are [tex]B'(x,y) = (-2.5, 1)[/tex].
What are the coordinates of C'?
[tex]C'(x,y) = 0.5\cdot C(x,y)[/tex] (3)
[tex]C'(x,y) = 0.5\cdot (0.5,-7)[/tex]
[tex]C'(x,y) = (0.25, -3.5)[/tex]
The coordinates of C' are [tex]C'(x,y) = (0.25, -3.5)[/tex].
Answer:
(5, 3.75)
(-2.5, 1)
(0.25, -3.5)
how many solutions does x+2y=8 have ?
Answer:
1
Step-by-step explanation:
Since the power of the variable is 1 the equation will have 1 solution
If f(x) = 9–4 |+1|, find f(-5)?
15
-7
7
23
Answer:
15
Step-by-step explanation:
15th of July is a baby day for us and
Carlo and Helen spend the same amount of money on art supplies. Carlo buys 4 glue sticks and spends $3 on glitter. Helen buys 2 glue sticks, and she spends $3.75 on tape and $2.75 on paint. What is the cost, x, of each glue stick
Answer:
1.75
Step-by-step explanation:
none try your best
The cost of each glue stick is $1.75 if Carlo and Helen spend the same amount of money on art supplies.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Carlo and Helen spend the same amount of money on art supplies.
Let the cost of each glue stick is x
Carlo spent: 4x + 3
Helen spent: 2x + 3.75 + 2.75
4x + 3 = 2x + 3.75 + 2.75
2x = 6.5 - 3
2x = 3.5
x = 3.5/2
x = $1.75
Thus, the cost of each glue stick is $1.75 if Carlo and Helen spend the same amount of money on art supplies.
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A city planner uses a coordinate grid to model the streets of a city. Each unit on the coordinate grid represents one city block. City hall is located at (0,0).The downtown area is represented by rectangleABCD, which has the vertices listed below. A(9,9) B(9,−2) C(−8,−2) D(−8,9) What is the perimeter of the downtown area?
Answer:
The perimeter of the downtown area is 56 units.
Step-by-step explanation:
From Geometry we know that perimeter ([tex]p[/tex]), dimensionless, is the sum of the lengths of the rectangle, that is, its 4 sides:
[tex]p = AB + BC + CD + DA[/tex] (1)
Where [tex]AB[/tex], [tex]BC[/tex], [tex]CD[/tex] and [tex]DA[/tex] are the sides of the rectangle, dimensionless.
Each side length is determined by Pythagorean Theorem:
[tex]AB = \sqrt{(9-9)^{2}+(-2-9)^{2}}[/tex]
[tex]AB = 11[/tex]
[tex]BC = \sqrt{(-8-9)^{2}+[-2-(-2)]^{2}}[/tex]
[tex]BC = 17[/tex]
[tex]CD = \sqrt{[-8-(-8)]^{2}+[9-(-2)]^{2}}[/tex]
[tex]CD = 11[/tex]
[tex]DA = \sqrt{[9-(-8)]^{2}+(9-9)^{2}}[/tex]
[tex]DA = 17[/tex]
Then, the perimeter of the downtown area is:
[tex]p = 11+17+11+17[/tex]
[tex]p = 56[/tex]
The perimeter of the downtown area is 56 units.
Answer:
56 units
Step-by-step explanation:
anyone know the answer?
Answer:
x^7/y^7 (top right)
Step-by-step explanation:
Exponents are added together when multiplied, so it would equal x^7y^-7, but to get rid of the negative, the y would become the denominator in a fraction.
Answer:
x^7/y^3
Step-by-step explanation:
x^3+y^2+x^4+y^-5
re-arrange
x^4+x^3+y^-5+y^2
x^4+3+y^2-5
x^7+y^-3
let the minus(-)with the 3 be taken away
hence;
x^7/y^3
hence 3 is then possitive
Find the equation of OP.
The required equation of a circle P is x² + (y −3)² = 4. The correct answer is option (F).
As per the shown figure, the circle P with a center at (0, 3) and a radius is 2 units.
The center of the circle is given as (h,k) = (0, 3)
So the equation of the circle is:
⇒ r² = (x − h)² + (y − k)²
Substitute the values of r, h, and k in the above equation,
⇒ 2² = (x − 0)² + (y −3)²
⇒ 4 = x² + (y −3)²
⇒ x² + (y −3)² = 4
Hence, the equation of a circle P is x² + (y −3)² = 4.
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Frazer is training for a cycle race. In the first week he cycles 195 miles
Answer: Hope it helps...
Step-by-step explanation: mark as an brainliest... if so
Help me pls help thank you soo much :)
Answer:
Don't sweat it the answer should be C
Step-by-step explanation:
Hope I helped you
What is x if 3x+6= 39
Answer:
X = 11
Step-by-step explanation:
can someone help me on this one please
Answer:
x=-2
Step-by-step explanation
x+74+37+x+73=180
184+2x=180
-184 -184
2x=-4
x=-2
Write your answer in simplest form
Answer:
-2 2/5
Step-by-step explanation:
- 3/5 + - 9/5 = -12/5
-12/5 = -2 2/5
A cylinder has a base diameter of 4in and a height of 7in. What is its volume in cubic in, to the nearest tenths place?
Answer:
v = 87.96 cubic inches
Step-by-step explanation:
v = πr²h
v = π2²(7)
v = 3.14(4)(7)
v = 12.57(7)
v = 87.96
Answer:
125.7 in^3
Step-by-step explanation:
V = 125.663706143592
V = 125.7 in^3
18 is between which 2 integers
Answer:
So, because 18 is between 16 and 25, we know its square root must be between their square roots, that is, between 4 and 5.
Maria rents a bicycle while on vacation. It costs a flat fee of$19.95 plus $5.50 an hour. If Maria rents it for 3 1/2 hours. What is the total cost?
Answer:
$39.20
Step-by-step explanation:
5.50 an hr *3.5 hours= 19.25
19.25+19.95 fee= 39.20
Answer:
So it would cost in total 39.20 dollars
Step-by-step explanation:
19.95+5.50x
19.95+5.50x3.5
19.95+19.25
39.2
The function w=30-3/4n represents the weight w in pounds of the papers in tyrones newspaper delivery bag after he delivers n newspapers. Find the zero and explain what it means in the context of this situation. Find the domain and range
Answer:
domain (−∞,∞)
range (−∞,∞)
n = 40 and it refers to the fact that after delivering 40 newspapers, there will be no paper left in the bag
Step-by-step explanation:
To find the zero, we equate the linear equation to zero
w = 30 - 3n/4
3n/4 = 30
3n = 120
n = 120/3
n = 40
What this mean in this context is that the the bag becomes empty after he has delivered 40 newspapers or we can say that the maximum number of papers the bag can take is 40
The range refers to the number on the y-axis
Here the range is (−∞,∞)
The domain refers to the x axis values
We have (−∞,∞)
In the diagrams, the pre-image is shown with a dested tree and the image is shown with a solid line which transformation represents a dilation? .
The solid line if i am correct?
Priya bought x grams of flour. Clare bought 38 more than that. Select all equations that represent the relationship between the amount of flour that Priya bought, x, and the amount of flour that Clare bought, y, by matching each equation to "correct" or "incorrect".
Will give brainlest answer (zoom in to see questions)
Identify the y-intercept of the line y=5x-1
Answer: its 1
Step-by-step explanation:
The solution to the system is (6,2). Select all the equations that could be the other
equation in the
system.
a.y = -3x
C. y=x+6
b.y=-*-* +3
d. y = {x-1
e. y=1&x-1
f.y = 4x - 2
Answer:
Step-by-step explanation: 645
Answer: C and E
Step-by-step explanation:
i took this on my quiz and got it right :)
pls help me I'm taking a test and it's due in 30 mins idk this.
Write the equation of the parabola given the following information:
Vertex (2,3)
Focus (2,0)
Answer:
. y2 = 12x 40:12 :3 2. x² = -8y 408 3. (x + 2)2 = -4(y-1). \(-2,1) opens v. F-2,0) ... F (0:2). V(0,-2). F(4,2)
Step-by-step explanation:
Answer:
36-12y=(x-2)^2 or y=-(x^2/12) + x/3+8/3
Step-by-step explanation:
Teri invested $2500 in an account with an interest rate of 2.75% compounded continuously. How
long will it take for Teri's account to earn $6000?
The time it will take for Teri's account to earn $6000 = 87 years
The total amount of money invested by Teri ( p) = $2500
The interest rate of the investment (r) = 2.75%
The simple interest is ( I) = $6000
Therefore the time to generate the interest of $6000
[tex] \frac{i \times 100}{p \times r \: } = t[/tex]
Therefore, time =
[tex] \frac{6000 \times 100}{2500 \times 2.75} [/tex]
[tex] \frac{600000}{6875} [/tex]
=87 years.
Therefore, the time it will take for Teri's account to earn $6000 = 87 years
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In Exercises 1 and 2, find the coordinates of point Q along the directed line segment LM so that LQ to QM is the given ratio. 1. L(-1, -2), M(3, 6); 5 to 3
Answer:
The coordinates of Q are (1.5,3)
Step-by-step explanation:
Here, we simply want to divide the line segment in the given ratio
We can use the internal division formula here;
The coordinates of Q will be;
(x,y) = (nx1 + mx2)/(n + m) , (ny1 + my2)/(n + m)
m = 5, n = 3
(x,y) = (3(-1) + 5(3))/(5 + 3) , (3(-2) + 5(6)/(5 + 3))
(x,y) = (-3 + 15)/8 , (-6 + 30)/8
(x,y) = 12/8, 24/8
(x,y) = (1.5,3)
Substitute the given values into the formula, and solve for the unknown variable.
A= 1/2h(B+b); A=22, B=6, b=5
h=?
b = 2 A h − B Answer is B
5 of 12
Work out the percentage change when a price of £1 is increased to £1.50.
1 %
I
Answer:
50%
Step-by-step explanation:
change in price = 1.50 - 1 = £0.50
original price = £1
%change = change/original × 100%
= 0.50/1 × 100%
= 50%
CAN SOMEONE PLS HELP ME (ill give brianlsit)
Answer:
x=3(one solution)
Step-by-step explanation:
2x+2=3x-1
subtract 2 from both sides
2x=3x-3
subtract 3x from both sides
-x=-3
divide both sides by -1
x=3
Which lines are parallel ? Please help me
Answer:
Lines J, K, and M are all parallel to each other.
Step-by-step explanation:
Parallel lines are two or more lines that are on the same plane but never intersect. Because they don't intersect they the same distance apart no matter what point you measure from on the line. Line N is the transversal for lines J, K, and M.
Find the length of the diagonal of a square with 30 cm on a side in simplest radical form.
Please help! I’ll give brainliest!!
this isn't really understandable without pictures, does the question give any other information??
Dylan opened a credit card account with $725.00 of available credit. Now that he has made some purchases, Dylan's account only has $601.75 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?
Answer:
130
Step-by-step explanation:
true
Answer:
123.25
Step-by-step explanation:
i subtract $725.00 by $601.75 so i can see how many he decrease the amount of avalable credit in dylan's account hope this helps!
can someone help me with this please
Answer:
ofc ill help! x=-35
Step-by-step explanation: