Find the measures of the sides of DEF then classify by its sides D(-2,3), E(5,5), F(-4,10)
Answers
Answer:
[tex] DE = 7.3 [/tex]
[tex] EF = 10.3 [/tex]
[tex] FD = 7.3 [/tex]
∆DEF is an isosceles ∆
Step-by-step explanation:
To find the 3 side lengths of ∆DEF, use the distance formula, which is given as [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex].
Distance between D(-2, 3) and E(5, 5):
[tex] DE = \sqrt{(5 -(-2))^2 + (5 - 3)^2} [/tex]
[tex] DE = \sqrt{(7)^2 + (2)^2} [/tex]
[tex] DE = \sqrt{49 + 4} [/tex]
[tex] DE = \sqrt{53} [/tex]
[tex] DE = 7.3 [/tex] (nearest tenth)
Distance between E(5, 5) and F(-4, 10):
[tex] EF = \sqrt{(-4 - 5)^2 + (10 - 5)^2} [/tex]
[tex] EF = \sqrt{(-9)^2 + (5)^2} [/tex]
[tex] EF = \sqrt{81 + 25} [/tex]
[tex] EF = \sqrt{106} [/tex]
[tex] EF = 10.3 [/tex] (nearest tenth)
Distance between F(-4, 10) and D(-2, 3):
[tex] FD = \sqrt{(-2 -(-4))^2 + (3 - 10)^2} [/tex]
[tex] FD = \sqrt{(2)^2 + (-7)^2} [/tex]
[tex] FD = \sqrt{4 + 49} [/tex]
[tex] FD = \sqrt{53} [/tex]
[tex] FD = 7.3 [/tex] (nearest tenth)
∆DEF has two equal sides, DE and FD. Therefore, ∆DEF can be classified as an isosceles triangle.
Related Questions
Ms. Hodge receives 20 phone calls every 60 minutes. How many calls will she expect to receive in 180 minutes?
Ms. Hodge will expect to receive _____ phone calls in 180 minutes.
Answers
Answer:
60
Step-by-step explanation:
20 calls / 60 minutes
x calls / 180 minutes
60 x 3 = 180 minutes
20 x 3 = 60 calls
Answer:
Ms hodge will expect to receive 60 phone calls in 180 minutes.
Step-by-step explanation:
180 divided by 60 is 3
3x20= 60
Ms hodge will expect to receive 60 phone calls in 180 minutes.
Simplify the expression.
(5)10 - (5)13
O-15
O-3
O 115
O2
Answers
Answer:
-15 is a answere
Step-by-step explanation:
According to BODMAS(bracket of Division Multiplication Addition Sutraction) rule
5*10-5*13
50-65
-15
Find x if a = 13 and C = 47.
Answers
Answer:45.167
Step-by-step explanation:
So you're using the Pythagorean theorem which is a^2 + b^2 = c^2... so if you don't have b you can manipulate the equation. That equation is c^2 - a^2= b^2, so you square 47 which is 2209 and then square 13 which is 169... you do 2209-169 and that equals 2040, then you do the square root of that which is 45.166359 that can be simplified to 45 or two decimal points 45.167. Hope that Helped! :)
It costs 11$ for 15 granola bars.
What is the unit price, in dollars per granola bar, rounded to the nearest hundredth?
Answers
Answer:
Each granola bar costs $0.73.
Step-by-step explanation:
11/15 = 0.73
WILL GIVE BRAINLIEST
Answers
Answere:
its black
Step-by-step explanation:
black is better and im right
Aria is buying refreshments for a birthday party. She intends to get an ice cream cake for $23
and some cupcakes for $2 each. Aria has a $45 budget but does not have to spend the entire
amount. Which inequality best represents the number of cupcakes, C, that Aria can purchase?
Answers
Answer:
11
Step-by-step explanation:
Answer:
$2c ≤ $45
I believe this is the right inequality.
que es la geometria
Answers
Leo bought 18 boxes of cereal. This is 25% of the boxes at the store. How many total boxes of cereal were at the store?
Answers
Which equation is the inverse of the function
CO B 2 ☺ ☺
g(n)= -5n+2
A) g - (n)
--n+
6
1
3
B) g(n) = 1+-n
2
2
C) g(n)= -1+2
3
5
D) g(n) = -51 + 19
4
a
b
Answers
Denominator of the fraction
2/5.
Denominator of the fraction 13/16.
This is a 20 point question must answer both plzzz plus Brainly
Answers
Answer:
Denominator for 2/5 is 5, and denominator for 13/16 is 16.
Two-thirds of the sum of three times a number and six is ten what is the number ?
Answers
Answer:
X=3
Step-by-step explanation:
2/3*(3x+6)=10
2x+4=10
X=6/2
x=3
I just need help filling in the rest of this table. I've done some, but I've been stuck for a while now. Huge thanks to anyone who can help!
Answers
Answer:
i think 20 is above 12 and 17 under 30 and 36 is on top of 20 the rule is .50(x) +2
Answer:
Step-by-step explanation:
c = 0.5t + 2
12 = 0.5t + 2 ⇒ 0.5t = 10 ⇒ t = 20
c = 0.5(30) + 2 ⇒ c = 17
20 = 0.5t + 2 ⇒ 0.5t = 18 ⇒ t = 36
16/30=20/x what is x?
Answers
Answer: 75/2
Step-by-step explanation: Math
Answer:
75/2
Step-by-step explanation:
16/30=20/x
Cross multiply
16*x=(20)*(30)
16x=600
Divide both sides by 16.
16x /16 = 600 /16
x=75/2
I hope it's right
a temperature of 0 degrees Celsius:
a temperature of 8.5 degrees Celsius above zero:
a temperature of 7 degrees Celsius below zero:
100 points
Answers
Answer:
mark on the 0, on the 7, and half way past 8
hope this helps, pls give brainliest
Step-by-step explanation:
The rabbit population in a certain area is 200% of last year's population. There are 300 rabbits this year. How many were there last year?
Answers
Answer:
There were 650 rabbits last year
The percentage of a quantity can be found by first changing the percent into a fraction and then multiplying it to the value of that quantity. Last year the number of rabbits was 150.
What is percentage?A percentage is a value that indicates the hundredth part of any quantity.
To convert percentage into a fraction it is divided by 100.
Given that,
The population of rabbit this year is 300.
The percentage of the population with respect to the last year is 200%.
Suppose the population of rabbits last year was P.
Then as per the question, following expression can be written,
200% of N = 300
⇒ (200 / 100) × N = 300
⇒ 2N = 300
⇒ N = 150
Hence, the population of the rabbits last year was 150.
To know more about percentage click on,
brainly.com/question/29306119
#SPJ2
Last question please help me!!!!!!!
Answers
Answer:
it's D
Step-by-step explanation:
i just put it into desmos and looked for points, none of the answers appeared, therefore it's D
For f (x) = x2 - 5, find f (x) when x = 0 and when x = 3
f (0) =
f (3) =
Answers
Answer:
1 minus 1 is 0
Step-by-step explanation:
1-1 equals 0
An airline tracks data on its flight arrivals. Over the past six months, 65 flights on one route arrived early, 273 arrived on time, 218 were late, and 44 were cancelled. What is the probability that a flight is early
Answers
Answer:
0.108
Step-by-step explanation:
Given that:
Number of flights reached early = 65
Number of flights reached on time = 273
Number of flights reached late = 218
Number of flights canceled = 44
To find:
The probability that a flight is early.
Solution:
First of all, let us have a look at the formula for probability of an event E.
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here, Event E is that the flight is early.
Number of favorable cases is equal to the number of a flights which reached early i.e. 65
Total number of cases is the total number of flights.
i.e. 65 + 273 + 218 + 44 = 600
So, the required probability is:
[tex]P(E) = \dfrac{65}{600} = \bold{0.108}[/tex]
Solve for x by answering the number below/
Answers
2(5)+8=4(5)-2
18=18
Answer:
The value of x is 5.
Step-by-step explanation:
In a square, all sides are equal so you can compare the expressions to solve x :
[tex]4x - 2 = 2x + 8[/tex]
[tex]4x - 2x = 8 + 2[/tex]
[tex]2x = 10[/tex]
[tex]x = 5[/tex]
Solve for y.
3(y-2) = y +4-2(-5y-2)
Simplify your answer as much as possible.
Answers
Answer:
y = -7/4
Step-by-step explanation:
The ratio of green apples to red apples at a grocery store is 2 to 3. There are 78 red apples at the grocery store. What is the total number of apples at the store?
Answers
Answer:
52
Step-by-step explanation:
78 divided by 3 is 26
26 times 2 is 52
Carter's football team played 10 games this season. They won only 20% of their games. How many games did Carter's team lose?
Your answer:
Answers
f(x)=-2x+4
what is x when f(x)=-8
Answers
f(-8)=16+4
f(-8)=20
Answer:
20
Step-by-step explanation:
f(x) = -2 (x) + 4 (substitute x for the given value)
f(x) = -2 (-8) + 4 (multiply -2 and -8)
f(x) = 16 +4 (add 16 and 4)
f = 20
If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN
Answers
Answer:
68
Step-by-step explanation:
LM + MN = LN
x + 7 + 3x + 20 = 6x - 5
4x + 27 = 6x - 5
-4x -4x
27 = 2x - 5
+5 +5
32 = 2x
÷2 ÷2
16 = x
MN: 3x + 20
3(16) + 20
48 + 20
68
x = -11 + 7y
5x + 2y = -18
Answers
Answer:
x = -4
y = 1
(-4,1)
Step-by-step explanation:
x = -11 +7y
5x + 2y = -18
This is a Substitution problem, so you put x = -11+7y into 5x+2y = -18
5(-11 +7y)+2y = -18
5(-11) = -55
5(+7y) = 35y
-55+35y+2y = -18
Now you add 35y and 2y which gives you 37y
-55+37y = -18
Now you add +55 from -55 and -18
37y = 37
You divide each side by 37 so that y = 1
Now you plug y(1) into the equation x = -11+7y
x = -11+7(1)
-11+7 = -4
x = -4
Margie walked 3.75 miles on Tuesday morning. On Wednesday morning, she walked 1.2 times as far as she did on Tuesday. How far did she walk on Wednesday?
Answers
To borrow money, you pawn your guitar. Based on the value of the guitar, the pawnbroker loans you $600. One
month later, you get the guitar back by paying the pawnbroker $1170. What annual interest rate did you pay?
You will pay a simple interest rate of %
(Round to the nearest whole number as needed.)
Answers
Answer:
51% (596.7) or 52% (608.4)
Step-by-step explanation:
1170 multiply by 51% or 52% and you will get as close as you can to 600. I hope this can help. I am sorry If I got it wrong or misunderstood. :) Have a nice day!
HELPPPPPP ILL GIVE BRAINLIEST!!!!
Answers
Answer: a
Step-by-step explanation:
Find f (x )if f apostrophe apostrophe (x )equals x to the power of negative 2 end exponent comma space x greater than 0 comma space f (1 )equals 0 and f (2 )equals 0.
Answers
Step-by-step explanation:
Given [tex]g'(x) = g^{-2}, x> 0\ g(1) = 0 \ and \ g(2) = 0[/tex]
To get g(x), we will have to integrate g'(x)
[tex]g(x) = \int\limits {x^{-2}} \, dx\\ g(x) = \frac{x^{-2+1}}{-2+1} + C\\ g(x) = -x^{-1} + C\\g(x) = -x^{-1} + C\\[/tex]
If g(1) = 0, this means at x = 1, g(x) = 0
0 = -1⁻¹ + C
C= 1
Substitute C = 1 into the function
g(x) = -x⁻¹ + 1
If g(2) = 0, this means at x = 2, g(x) = 0
0 = -2⁻¹ + C
C= 2⁻¹
C = 1/2
Substitute C = 2 into the function
g(x) = -x⁻¹ + 1/2
Is this table proportional?
Answers
Answer:
yes it is
Step-by-step explanation:
pls give brainlest almost lvled up
Answer:
I believe that this is not.
It is not proportional.