Given:
The two points are M(-10, 3) and P(-4,-8).
To find:
The distance between the points M and P.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between the given points is
[tex]MP=\sqrt{(-4-(-10))^2+(-8-3)^2}[/tex]
[tex]MP=\sqrt{(-4+10)^2+(-11)^2}[/tex]
[tex]MP=\sqrt{(6)^2+(-11)^2}[/tex]
[tex]MP=\sqrt{36+121}[/tex]
On further simplification, we get
[tex]MP=\sqrt{157}[/tex]
[tex]MP=12.529964[/tex]
[tex]MP\approx 12.5[/tex]
Therefore, the distance between the given points M and P is 12.5 units.
this graph displays the speed of my CPU relative to the temperature. based on the graph, what is the rate of my CPU speed over temperature change (MHz/celsius)
Answer: Gamers and Graphic Designers are high-performance users. They use to replace parts so that the PC would run fast. Gamers used to overclock the PC so that the online games will run smoothly but overclocking can increase the CPU temperature.
Step-by-step explanation:
Answer Fast please!
1. Analyze the following quadrilateral.
1A: Identify the vertices of this quadrilateral.
1B: The quadrilateral is being dilated by a factor of 2.
What are the new vertices of this quadrilateral? Show all your work.
Answer:
1A: (2,1); (2,4); (6,1); (3,4)
1B: (4,2); (4,8); (12,2); (6,8)
Step-by-step explanation:
1A: It's pretty straightforward-- identify the coordinates for each vertex.
1B: If it's being dilated by a factor of 2, then each vertex is going to be multiplied by a factor of 2. So our vertices would be: (4,2); (4,8); (12,2); (6,8).
Hope this helped!
The coordinates of a point, or points (ABCD) following a dilation about the origin is given by the product of the point and the scale factor of dilation
The description, vertices of the figure, and the new vertices are;
1. The figure is a trapezium2. The vertices are; A(2, 1), B(2, 4), C(3, 4), D(6, 1)3. The new vertices are; (4, 2), (4, 8), (6, 8), and (12, 2)Reason:
1. The quadrilateral is a trapezium
2. The vertices of the quadrilateral are given by the coordinates of the points A, B, C, and D, in the figure, which are;
A(2, 1), B(2, 4), C(3, 4), D(6, 1)
3. Dilating the quadrilateral by a scale factor of two about the origin gives;
Coordinates of A' = (2×2, 2 × 1) = (4, 2)
Coordinates of B' = (2×2, 2 × 4) = (4, 8)
Coordinates of C' = (2×3, 2 × 4) = (6, 8)
Coordinates of D' = (2×6, 2 × 1) = (12, 2)
The new coordinates of the vertices of the quadrilateral following a dilation by a scale factor of two are; (4, 2), (4, 8), (6, 8), and (12, 2)
Learn more about dilation by a scale factor here:
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does anyone know the answer??
Answer:
rational
Step-by-step explanation:
Any rational number can be expressed in the form
[tex]\frac{a}{b}[/tex] ← where a and b are integers
Given
[tex]\sqrt{4}[/tex] = - 2 or + 2
Since - 2 = [tex]\frac{-2}{1}[/tex] and 2 = [tex]\frac{2}{1}[/tex] ← both in rational form, then
[tex]\sqrt{4}[/tex] is rational
4. The length of a rectangle is represented by 8x-3. The width of the
rectangle is represented by 2x. The perimeter is 34 centimeters. Which
equations represent the perimeter? Choose all the correct answers.
A. 4(2x+8x-3)=34
B. 2(2x)+2(8x-3)=34
C. 2x+8X-3+2x+8x-3=34
D. 20x-6=34
E. 2x(8x-3)=34
I NEED THIS ASAP!!!!!
Answer:
B, C, & D
Step-by-step explanation:
Solve for X
a) 6
b) 11
c) 0
d) 12
Step-by-step explanation:
2x + 210 + x + 75 = 180
3x = - 105
x = - 35
what????
Write an equation that represents the line.
Use exact numbers.
K(-1)=
Hello I need some help
Answer:
7
Step-by-step explanation:
Look at where x=-1 and then look at the y-coordinate for that point. That is your answer
I need help I don’t understand it and it can’t be negative
Answer:
20
Step-by-step explanation:
On using similar triangles we get 5x = 6x-4. So x is 4 and jk length is 24-4=20
Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
Answer:
x ≈ 9.5 , y ≈ 15.3
Step-by-step explanation:
sin32° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{18}[/tex] ( multiply both sides by 18 )
18 × sin32° = x , then
x ≈ 9.5 ( to the nearest tenth )
cos32° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{18}[/tex] ( multiply both sides by 18 )
18 × cos32° = y , then
y ≈ 15.3 ( to the nearest tenth )
Which label on the cone below represents the radius? A cone. A is the base, C is the center of the base, B is the height, and D is the vertex. A B C D
Answer:
The closet answer is c
Step-by-step explanation:
Answer:
C. is the correct answer!
Step-by-step explanation:
Select all the true statements.
(1048 – 876) ÷ 4 is four times as large as (1048 – 876).
(1048 – 876) + 24 is 24 times as large as (1048 – 876).
(1048 – 876) – 17 is seventeen less than (1048 – 876).
1/2 × (1048 – 876) is half as large as (1048 – 876).
(1048 – 876) × 4 is four more than (1048 – 876).
Answer:
C and D are are the true statements
which of the three curves drawn matches the graph of y = 2x 2 + x
The table shows the results of a survey of seventh-grade students in the lunch-line
CHART:
Drink / Students
Chocolate Milk / 15
Soda / 12
Milk / 6
Water / 2
If there are 245 seventh-graders in the school, how many can be expected to prefer chocolate milk?
A: 45
B: 84
C: 90
D: 105
Answer:
D
Look at the picture. :)
105 can be expected to prefer chocolate milk
How to Solve the Problem?The problem can be solved in following steps.Survey of seventh-grade students in the lunch-line is given in chart.We need to calculate the expected students to prefer chocolate milk
Let the expected students be x
Calculate the total students = 15+12+6+2 = 35
The expected students prefer milk is
15/35 = x/245
245*15=35x
3675 = 35x
x = 3675 / 35
x = 105
Hence 105 students are expected to prefer chocolate milk .
Learn more about Surveys
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A shelf is 36 inches long. How many DVD’s can I place on it if each one is 5/8 inches thick?
You can place approximately 57 DVDs on the shelf if each DVD is 5/8 inches thick. To determine the number of DVDs that can fit on a shelf, we need to divide the length of the shelf by the thickness of each DVD.
The shelf is 36 inches long, and each DVD is 5/8 inches thick.
Dividing the length of the shelf by the thickness of each DVD:
36 inches / (5/8) inches
To divide by a fraction, we multiply by its reciprocal:
36 inches * (8/5 inches)
Simplifying the multiplication:
288 inches / 5 inches
Now we can divide:
288 inches / 5 inches = 57.6
Therefore, you can place approximately 57 DVDs on the shelf if each DVD is 5/8 inches thick.
To know more about approximately:
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PLSSSS HELP MEEEEEE LIKE RN PLEASE
Answer:
-3
Step-by-step explanation:
A teacher gave a 3-question multiple choice quiz. Each question had 4 choices to select from. If the a student completely guessed on every problem, what is the probability that they will have 2 or less correct answers?
Answer:
0.9844
Step-by-step explanation:
This is a binomial probability problem.
Probability of getting a correct answer: p = 1/4
Probability of getting an incorrect answer: q = 3/4
Number of questions; n = 3
Thus;
probability of 2 or less correct answers is; P(x ≤ 2) = P(X = 2) + P(X = 1) + P(X = 0)
From binomial probability the formula is;
P(X = x) = C(n, x) × p^(x) × q^(n - x)
P(X = 2) = C(3, 2) × (¼)² × (¾)¹
P(X = 2) = 3 × 0.0625 × 0.75
P(X = 2) = 0.1406
P(X = 1) = C(3, 1) × (¼)¹ × (¾)²
P(X = 1) = 3 × 0.25 × 0.5625
P(X = 1) = 0.4219
P(X = 0) = C(3, 0) × (¼)^(0) × (¾)³
P(X = 0) = 0.4219
P(x ≤ 2) = 0.1406 + 0.4219 + 0.4219
P(x ≤ 2) = 0.9844
PLZZZZZZZZZZZZZZZZZZZZZ:( PLZZZZZZZZ
Answer:
12.57
Step-by-step explanation:
Pls help you can do either one
Answer:
4. 20.8 in
5. 60 degrees
6. i cant see number 6 so yah
Step-by-step explanation:
Beginning inventory: $14,320 Merchandise Purchases: $7,880 Goods available for sale: (a) Ending inventory: $11,250 Cost of goods sold: (b) solve please!
Answer:
$22,200
$10,950
Step-by-step explanation:
Goods available for sale = beginning inventory + Merchandise Purchases
$14,320 + $7,880 = $22,200
Ending inventory = goods available for sale - ending inventory
$22,200 - $11,250 = $10,950
Make r the subject - picture underneath
Answer:
The answer is r = 6a / (5m² - 1).
Step-by-step explanation:
The steps are :
[tex]m = \sqrt{ \frac{6a + r}{5r} } [/tex]
[tex] {m}^{2} = \frac{6a + r}{5r} [/tex]
[tex]5r {m}^{2} = 6a + r[/tex]
[tex]5r {m}^{2} - r = 6a[/tex]
[tex]r(5 {m}^{2} - 1) = 6a[/tex]
[tex]r = \frac{6a}{5 {m}^{2} - 1 } [/tex]
Answer:
r = [tex]\frac{6a}{5m^2-1}[/tex]
Step-by-step explanation:
Given
m = [tex]\sqrt{\frac{6a+r}{5r} }[/tex] ( square both sides )
m² = [tex]\frac{6a+r}{5r}[/tex] ( multiply both sides by 5r )
5rm² = 6a + r ( subtract r from both sides )
5rm² - r = 6a ← factor out r from each term on the left side
r(5m² - 1) = 6a ← divide both sides by (5m² - 1)
r = [tex]\frac{6a}{5m^2-1}[/tex]
In Canada, 63% of households speak English as their primary language, and 23% speak French as their primary
language. If two Canadian households are selected at random, what is the probability that the first household
speaks French, but the second household speaks English?
(0.23)(0.63) = 0.1449
O 0.23 +0.63 = 0.86
O 0.23 +0.63 - (0.23)(0.63) = 0.7451
0.23
= 0.3650
Answer:
(0.23)(0.63) = 0.1449
Step-by-step explanation:
trust me, it's correct.
What is the length of K Street and D Street?
Answer:
775 ft
Step-by-step explanation:
1000/800= K/620
800K = 620,000
K = 775 ft
Please help me with this question 14 + what = 6
Answer:
-8
Step-by-step explanation:
14 + x = 6
6 - 14 = -8
brainliest plz
Harold cut 1812 inches off a rope that was 60 inches long. How is the length of the remaining rope in inches written in decimal form
Answer:
0.42
Step-by-step explanation:
The computation of the length of the remaining rope in inches is shown below:
Length Remaining = Length - the piece he cut off
Length Remaining = 60 - 18
60 - 18 = 42
To turn 42 into a decimal, you have to divide by 100 ↓
42 ÷ 100 = 0.42
The length of rope remaining is 0.42 inches long
a store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 6 pounds of jelly beans, the total cost is $23. For 3 pounds of trail kix and 2 pounds of jelly beans, the total cost is $11. Find the cost for each pound of traol mix and each pound of jelly beans
Answer:
j=$1.75/lb
t=$2.5/lb
Step-by-step explanation:
(1) 5t+6j=23
(2) 3t+2j=11, t=11/3 - 2j/3
sub t into (1):
5(11/3 - 2j/3) +6j = 23
55/3 -10j/3 +6j =23
8j/3=14/3
8j=14
j=7/4
sub j into t:
t=11/3 -2(7/4)/3
t=5/2
20 large plastic bottles can be recycled to 1 fleece jacket.
How many fleece jackets can be made with 280 large plastic bottles?
Answer:
14 jackets
Step-by-step explanation:
20 plastic bottles=1 fleece jacket
280 plastic bottles=?
(280×1)÷20
=14
Factor the following quadratic expression.
2p2−19p+35
I don't get this
Answer:
(p - 7)(2p - 5)
Step-by-step explanation:
[tex]2 {p}^{2} - 19p + 35 \\ \\ = 2 {p}^{2} - 14p - 5p + 35 \\ \\ = 2p(p - 7) - 5(p - 7) \\ \\ = (p - 7)(2p - 5)[/tex]
Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 ⅗ door. How many liters of paint are needed for 1 door?
Answer: 1.25 litres
Step-by-step explanation:
Two litres of paint is sufficient to paint 1 ⅗ doors.
To find out the amount of paint needed to paint one door, you can use direct proportion:
2 litres : 1 ⅗ door
x 1 door
Cross multiply to get:
1 ⅗ x = 2
x = 2 / 1 ⅗
x = 2 ÷ 8/5
x = 2 * 5/8
x = 1.25 litres
How much is: 4(2c+3) =28
Step-by-step explanation:
hope this helps. if you have any questions, don't hesitate to message. :)
Answer:
c=2
Step-by-step explanation:
4(2(2) + 3)
4(4 + 3)
4(7)
28
Brooklyn is going to invest $1,300 and leave it in an account for 11 years. Assuming
the interest is compounded daily, what interest rate, to the nearest tenth of a percent,
would be required in order for Brooklyn to end up with $2,500?
Answer: 5.9%
Step-by-step explanation:
Lazy boi
Answer:5.9%
5.9% in delta Math
Step-by-step explanation: