Answer:
x plus 3y minus 63
Step-by-step explanation:
Triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″. If vertex P is at (3, -4) and vertex Q is at (5, -1), what are the coordinates of vertices P″ and Q″?
Answer:
Answer: The correct option is (D) P″(9, -12) and Q″(15, -3).
Step-by-step explanation: Given that triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″.
The co-ordinates of vertices P and Q are (3, -4) and (5, -1) respectively.
We are to find the co-ordinates of the vertices P″ and Q″.
Case I : ΔPQR dilated to ΔP'Q'R'
The co-ordinates of P' and Q' are given by
Case II : ΔP'Q'R' dilated to ΔP''Q''R''
The co-ordinates of P'' and Q'' are given by
Thus, the co-ordinates of the vertices P'' and Q'' are (9, -12) and (15, -3).
Option (D) is CORRECT.
Step-by-step explanation:
Find the measure∠1 of in the figure, shown to the right
NOW! Which division problem does the diagram below best illustrate?
0000
OC
30-5-6
35-7-5
021-7-3
40-5-8
I’ll give brainliest pls help
Answer:
The slopes of WX and XZ
Step-by-step explanation:
The singular factor that determines if the parallelogram is a rectangle are the angles at the edges
Mathematically, we can only have a rectangle if there are four right angles with one right angle each at the edges of the rectangle
So, by having the slope of the sides forming the width and that which forms the length, we can deduce if what we have is rectangle given that the slopes will yield a perpendicular product
Hence, the slopes of WX and XZ can be calculated to show this
which of the following shows the length of the third side, in inches, of the triangle below?
Answer:
20 inches
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Identify Variables
Leg a = x
Leg b = 15
Hypotenuse c = 25
Step 2: Solve for x
Substitute [PT]: x² + 15² = 25²Isolate x term: x² = 25² - 15²Exponents: x² = 625 - 225Subtract: x² = 400Isolate x: x = 20Answer:
20 inches
Step-by-step explanation:
Step 1: Understanding Pythagorean Theorem
The Pythagorean Theorem is [tex]a^{2} +b^{2}+c^{2}[/tex]. It is used to find the side lengths of a right triangle.
Step 2: Using the Theorem
We can see that the triangle shown is a right triangle and we know two sides so we can solve for the last side.
We can denote -
a - 15
b - unknown
c - 25
(note, c is always the hypotenuse or the longest side of the triangle)
We can plug in the numbers -
[tex]15^{2} +b^{2} =c^{2}[/tex]
[tex]225 +b^{2}=625[/tex]
[tex]b^{2} =625-225[/tex]
[tex]b^{2} =400[/tex]
[tex]b=20[/tex]
Janna and Travon are creating posters for the school play. Together they will have f(t) posters after creating posters for t hours. f(t) = 5t + 3 The function f represents the fact that every hour —
Answer:
8posters are created
Step-by-step explanation:
Given the function that represents the total number of posters expressed as
f(t)= 5t+3
The total posters every hour occur at t = 1hr
Substitute into the equation
f(1) = 5(1)+3
f(1) = 5+3
f(1) = 8
Hence the function f represents the fact that every hour, 8posters are being created
The 600 mile, Texas Gulf Coast has various barrier islands that protect the coast from storms. If each barrier island is an average of 75 miles in length, how many barrier islands are there?
Answer: 8 barrier island.
Step-by-step explanation:
From the question, we are informed that Texas Gulf Coast is about 600 miles and that it has various barrier islands that helps protect the coast from storms.
We are further told that each barrier island is an average of 75 miles in length. Therefore, the number of barrier islands that are there will be gotten by dividing 600 by 75. This will be:
= 600 / 75
= 8 barrier island
Alexis will graph the linear equation 6x 2y = 12 by plotting the x-intercept and y-
intercept.
Write the coordinates of the intercepts that Alexis should use.
Answer:
(0,6) and (2,0)
Step-by-step explanation:
y=-3x+6
Where x = 0 is equal to y=6 (Meaning the intercept is (0,6))
And where y= o is equal to x=2 (Meaning the intercept is (2,0))
Racquel works 4 hours a week at the senior center on the weekends.
She gets paid $10.75 an hour. How much money will Raquel have
earned over the course of 3 weeks?
Answer:
$129
Step-by-step explanation:
First, we'll figure out how much Racquel earns per week by multiplying how much she gets per hour by the number of hours she works per week. We can solve 4x10.75 to find out how much money Racquel earns per week. We can solve that to find out that she earns $43 per week. Then, we can multiply that by 3 to find out how much she earns in 3 weeks. Once we solve 43x3 we will end up with an answer of $129 over the course of 3 weeks.
(hope this helped)
4 – 9a + a - 9 what is the awnser
Answer: 9
Step-by-step explanation:
Jesse added two more numbers to his expression, but the sum did not change. What could the two new numbers be? Explain why the numbers you chose would not affect the sum of Jesse’s expression.
Answer:
0 and 0
Step-by-step explanation:
The only number that can be applied to the expression without changing the sum is 0, for example 5 + 10 = 15, adding 2 0's will be 0 + 5 + 10 + 0 = 15 :D
PLEASE ANSWER! DOING A TEST!
Answer:
I believe its D
Step-by-step explanation:
its the same line just 10 units down, meaning it would be parallel and pass thru that point.
Answer:
I'm not supposed to help you if you are taking a test, but the answer would be letter D which is 1/2x
Step-by-step explanation:
Remember, parallel lines have the same slope. The only line that has the same slope as y = 1/2x + 10 is y = 1/2x
Hope this helps you ace the test!!! :)
Good luck!!!
A math app was downloaded 52 times in 4 days. If it continues to be downloaded at the same rate, what scale factor can be used to find out how many times it was downloaded in 12 days?
Answer:
= 156 app downloaded in 12 days
use: 13x
plug in the amount of day for x.
Step-by-step explanation:
52/4 = 13
13x
13(12) = 156
Ace Carlos
You are building a model of a mall. The scale factor is 6:24. The model is 9 inches tall. How tall is the actual statue?
Answer: 36 inches
Step-by-step explanation:
height of the building = 9inches.
scale factor of the building = 6:24.
solution
since a scale of 6:24, was used to scale down the original model, the initial or actual height of the statue would be.
[tex]= 9 * \frac{24}{6} \\\\= 9 * 4\\\\= 36 inches[/tex]
[tex]45% of 75[/tex]
Answer:
Answer is 33.75
Step-by-step explanation:
Combine like terms and write an equivalent expression with fewer terms: 5 + 2x + 7 + 4x
Answer:
6x+12
Step-by-step explanation:
5 + 2x + 7 + 4x
2x + 4x = 6x
5 + 7 = 12
6x + 12
A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack has 10 hotdogs and each large pack has 18 hotdogs. The school bought 6 packs of hotdogs that have a total of 76 hotdogs. Write a system of equations that could be used to determine the number of small packs purchased and the number of large packs purchased. Define the variables that you use to write the system.
.
Answer:
S+L=6
10S+18L=76
Step-by-step explanation:
S for small
L for larger
find the quotient of 3/4 and 5/6 in its simplest form
Answer:
= 1 R 2
= 1 2/3
Step-by-step explanation:
(x+2)² (x-100)²
Do it
Answer:
x⁴-196x³+9204x²+32200x+40000
Step-by-step explanation:
(x+2)(x+2)×(x-100)(x-100)=
(x²+4x+4)×(x²-200x+10000)=
(x⁴-200x³+10000x²+4x³-800x²+40000x+4x²-800x+40000)
=x⁴-196x³+9204x²+32200x+40000
x⁴-196x³+9204x²+32200x+40000
A surveyor is studying a map of the community and is using vectors to determine the distance between two schools. On the map, the surveyor determined that school A is at (7, 12), and school B is at (–21, –13). The scale of the map is 1 unit = 100 meters.
Which vector represents the path from school A to school B, and what is the actual distance between them?
a) components: LeftAngleBracket 28, 25 RightAngleBracket, actual distance: about 37.54 meters
b) components: LeftAngleBracket 28, 25 RightAngleBracket, actual distance: about 3,754 meters
c) components:LeftAngleBracket negative 28, negative 25 RightAngleBracket, actual distance: about 37.54 meters
d) components:LeftAngleBracket negative 28, negative 25 RightAngleBracket, actual distance: about 3,754 meters
Answer:
C: <-28,-25>, etc.
Step-by-step explanation:
The vector from A to B is (-28, -25) and the distance between A to B is 3754 meters.
What is Coordinate Geometry?One of the most intriguing ideas in mathematics is called coordinate geometry. By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related. They can answer geometrical problems because it gives them geometrical aspects of algebra. In this area of geometry, a pair of ordered numbers is used to describe the location of points on a plane.
As per the given data:
Coordinates of school A = (7, 12)
Coordinates of school B = (-21, -13)
Scale of the map is 1 unit = 100 m
For vector representing the path A to B:
Final - Initial coordinates
= (-21 - 7, -13 - 12)
= (-28, -25)
Distance between A and B:
Distance formula = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
= [tex]\sqrt{(-21 - 7)^2 + (-13 - 12)^2}[/tex]
= 37.54 units {1 unit = 100 m}
= 3754 meters
Hence, the vector from A to B is (-28, -25) and the distance between A to B is 3754 meters.
To learn more about Coordinate Geometry, click:
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. What is 7/10 as a percent?
Answer:
70%
Step-by-step explanation:
5/10. 50%
6/10. 60%
7/10. 70%8/10. 80%
9/10. 90%
Answer:
70%
Step-by-step explanation:
There is a proportional relationship between minutes and dollars per minute, shown on a graph of printing expenses. The graph passes through the point (1, 4.90). What is the slope of the graph? What is the unit rate? Complete the explanation. plz help 100 points and brainliest.
Answer:
if the graph of a proportional relationship passes through the point (1 , R) then r equals the slope and the unit rate , which is $4.75 per min
Step-by-step explanation:
PLS ANSWER I NEED HELP
Which input value produces the same output value for the two functions on the graph?
f)--x1
ot) -x-2
3
g(x)
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
Each line shows you the output value for a given input value. If you want a particular input value to give the same output for both functions, then you need to find the point where the lines cross. This question asks for the input value at that point, the x-coordinate.
The lines cross at (x, y) = (3, -1), so x = 3 produces the same output from both functions.
what is the answer?
Answer:
x = 5
Step-by-step explanation:
Step-by-step explanation:
Since CD is the perpendicular bisector of AB, AD = DB.
Hence 6x - 2 = 2x + 18 and x = 5.
Which expression can be used to find 80% of 120?
80% of 120
20%
20%
20%
20%
20%
(0.8) (24)
(0.2) (120)
(0.8) (120)
(0.2) (24)
Answer:
96
Step-by-step explanation:
80÷100×120
96 ,, , ,; , ,
Answer:
(0.8) (120)
Step-by-step explanation:
[tex]80\% \: of \: 120\\\\ = \frac{80}{100} \times 120 \\ \\ = (0.8)(120)\\\\=96[/tex]
help me please what is i really need help
Step-by-step explanation: -6.3 x 8 = -50.4
help asap
short its an MCQ
If the diameter of 3 circles is in the ratio 4: 2: 1. The perimeter of the smallest circle is 8 cm. Then the area of
the shaded region is
Answer:
216[tex]\pi[/tex]
Step-by-step explanation:
Given the figure.
And the perimeter in the ratio 4: 2: 1.
Perimeter of smallest circle = [tex]8\pi[/tex]
To find:
Area of shaded region.
Solution:
To find the area, we need to have radius first.
And radius can be calculated by the given perimeter.
Formula for Perimeter is given as:
Perimeter = [tex]2\pi r[/tex]
[tex]8\pi = 2\pi r\\\Rightarrow r = 4\ cm[/tex]
Radius of smallest circle = 4 cm
Ratio of perimeter is equal to the ratio of the radii.
Radius of 2nd smallest circle by the given ratio = 8 cm
Radius of largest circle = 16 cm
Area of a circle is given the formula:
[tex]A = \pi r^2[/tex]
Area of the smallest circle = [tex]\pi 4^2 = 16\pi\ cm^2[/tex]
Area of the 2nd smallest circle = [tex]\pi 8^2 = 64\pi\ cm^2[/tex]
Area of the largest circle = [tex]\pi 16^2 = 256\pi\ cm^2[/tex]
Area of the shaded region = Area of largest circle + 2 [tex]\times[/tex] Area of 2nd smallest circle + 3 [tex]\times[/tex] Area of smallest circle - 2 [tex]\times[/tex] Area of smallest circle - 3 [tex]\times[/tex] Area of 2nd smallest circle
Area of the shaded region = Area of largest circle - Area of 2nd smallest circle + Area of smallest circle = [tex]256\pi - 64\pi +16\pi = 216\pi[/tex]
Need Help ASAP
The cost of employing an electrician who charges $70 per hour if he worked from 12:30pm until 3:00 pm.
Equation: -2(2x + y) = 28.
Answer:
x=-14-y/2
Step-by-step explanation:
divide both sides by -2
-2(2x+y)/-2=28/2
simplify
2x+y=-14
subtract y from both sides
2x+y-y=-14-y
simplify
2x=-14-y
divide both sides by 2
2x/2=-14/2-y/2
simplfy
x=-14-y/2
Which angle is coterminal with a 635° angle?
A. An angle measuring 85°
B. An angle measuring 275°
C. An angle measuring 255°
D. An angle measuring 335°
Answer:
B.
Step-by-step explanation:
the answer is B bevause you subtract 635 and 360, and then you get 275.
An angle measuring 275° is coterminal with a 635° angle.
What is Coterminal angles?This classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.
here, we have,
we know that,
A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.
Thus,
For w=1 and α=635°
β = 635° ± 360 * 1
β = 635° ± 360
Then, β can be 635°+360=995° or 635°-360= 275°
For w=2 and α=635°°
β = 635° ± 360 * 2
β = 635° ± 720
Then, β can be 635°+720=1355° or 635°-720= -85°
Therefore, the answer to this question is option B.
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