Line segment EG is partitioned by point F in the ratio 1:2. Point E is at E (0, 4), and point F is at (1, 3). What are the coordinates of point G?
(−1, 5)
(2, 2)
(3, 1)
(4, 0)
Answer:
(3, 1)
Step-by-step explanation:
The coordinates of point G is (c) (3,1)
The coordinate points are given as:
[tex]\mathbf{E = (0,4)}[/tex]
[tex]\mathbf{F = (1,3)}[/tex]
The ratio is given as:
[tex]\mathbf{m : n = 1 :2}[/tex]
Line ratio is given as:
[tex]\mathbf{(x,y) = \frac{mx_2 + nx_1}{m + n}, \frac{my_2 + ny_1}{m + n}}[/tex]
Point F is at the partitioned point.
So, we have:
[tex]\mathbf{(1,3) = \frac{1 \times x_2 + 2 \times 0}{1 + 2}, \frac{1 \times y_2 + 2 \times 4}{1 + 2}}[/tex]
[tex]\mathbf{(1,3) = \frac{x_2 }{3}, \frac{y_2 + 8}{3}}[/tex]
Multiply through by 3
[tex]\mathbf{(3,9) = (x_2, y_2 + 8)}[/tex]
By comparison, we have:
[tex]\mathbf{x_2 = 3}[/tex]
[tex]\mathbf{y_2 + 8= 9}[/tex]
Subtract 8 from both sides
[tex]\mathbf{y_2 = 1}[/tex]
Hence, the coordinates of point G is (c) (3,1)
Read more about line partitions at:
https://brainly.com/question/3148758
What is 58% of 200? Show your work.
Answer:
.58 x 200=116
Step-by-step explanation:
Answer:
'Percentage' is obtained by multiplying 200 by 58%.
58% × 200 =
(58 ÷ 100) × 200 =
(58 × 200) ÷ 100 =
11,600 ÷ 100 =
116
Step-by-step explanation:
hope it helps
Natalie wrote a computer program that generates two random numbers from one to 11. When she runs it, what is the probability that both values will be more than 8? Write your probability answer as a fraction.
Answer:
Step-by-step explanation:
There are a lot of ifs in this problem. The generator has to be a fair one. Any one of the 11 numbers must be equally likely to happen. Second, the sequence must not be the same each time she turns it on. Assuming both are true, then the numbers she will get are
9 10 11 for one number
9 10 11 for the other number
P(x>8) = 3/11 * 3/11 = 9/121
Rita is adding 3 + (negative 8) + 1. She rewrites the expression as 3 + (negative 1) + 8. What is Rita’s error?
Answer: she swapped the 1 and the 8 that was her error
Step-by-step explanation:
hope that helped :)
Answer:
d
Step-by-step explanation:
Use the following graph to find the slope of the line connecting Saturn and earth
Answer:
The slope is 2.
Step-by-step explanation:
To find the slope we can take two points from the graph (in this example I'll use (3, 2) and (4, 4)) and input them in this expression: [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{4-2}{4-3}[/tex]
Solve:
4 - 2 = 2
4 - 3 = 1
[tex]\frac{2}{1}[/tex] = 2
The slope of the line connecting Saturn and Earth is 2.
Hope this helps :)
Marta walked at 4.9 miles per hour for 0.85 hours. How far did she walk?
Answer:
2.808 Miles
Step-by-step explanation:
Sydney wrote the equation y+1=12(x−3).Explain her error and then write the correct equation in point-slope form.
Step-by-step explanation:
the answer is correct l
Plz help I’ll give brainlest or what ever it’s called lol
Answer:
it c
Step-by-step explanation:
i am smart
PLEASE HELP ME WILL MARK BRAINLIEST ITS GEOMETRY! PLEASE I BEG YOUUUU ITS AN ATTACHMENT
Answer:
ASA for sure
Step-by-step explanation:
Two angles shown to be congruent with a side shared by the two which is equal to itself
Answer:
ASA
Step-by-step explanation:
Will mark brainliest, pls explain!!
Which statement about the ordered pairs (−9,3) and (2,−4) is true for the equation 6x−y2=14?
A-Both ordered pairs are solutions.
B-Neither ordered pair is a solution.
C-(2,−4) is a solution to the equation.
D-(−9,3) is a solution to the equation.
Answer:
B
Step-by-step explanation:
plug in (-9, 3):
-9 is the x value and 3 is the y value, so plug it in like that.
6(-9)-3^2 = 14 ?
solve.
-54-9=14?
-63=14? NO!
Then try (2, -4)
2 is x-value, -4 is y-value.
6(2)-(-4)^2=14?
use order of operations (Perenthesis, Exponents, Multiplication/Division, Addition/Subtraction) (PEMDAS)
12-(16)=14?
-4=14? NO!
The answer is B, niether is a solution.
From the figure below, the coordinates for point T are:
PLS HELP
Express the following numbers in the generalised form.
(a) 365
(b) 872
Answer:
(a) three hundred and sixty- five
(b) eight hundred and seventy-two
PLEASE HELP ASAP!!!!!
Answer: x=2.25
Step-by-step explanation:
-3x+10=5x-8
+3x +3x
10=8x-8
+8 +8
18=8x
18/8=8x/8
2.25=x
ALEKS math. ill name the brainliest
Answer:
(2, 1): Yes
Step-by-step explanation:
5x - 3y = 7
-2x + 7y = 3
(2, 1) = 5(2) - 3(1) = 7
10 - 3 = 7
7 = 7
-2(2) + 7(1) = 3
-4 + 7 = 3
3 = 3
Yes
3x-9=3(x-3) how many solutions
Answer:
All Real Numbers
Step-by-step explanation:
Step 1:
3x - 9 = 3 ( x - 3 ) Equation
Step 2:
3x - 9 = 3x - 9 Multiply
Step 3:
- 9 = - 9 Subtract 3x on both sides
Answer:
All Real Numbers
Hope This Helps :)
5x + 5 = 20 (Im just learning this I need help)
Answer:
5
Step-by-step explanation:
I hope this helps you out!
Answer:
x=3
Step-by-step explanation:
5x+5=20
-5 -5
5x=15
(5x=15)/5
x=3
PLEASE HELP MEEE
Jimmy purchased 7 adult ticket and 6 student tickets for a total of $126. Jenny purchased 4 adult ticket and 2 student tickets for a total of $52.
Answer:
BIDEN 2020
Step-by-step explanation:
Will give brainliest if correct its pretty easy.
help help help help help help help help help help help.
Answer:
23.3
Step-by-step explanation:
divide
Answer:
23.3333333... or in fraction form 23 1/3 :)
Step-by-step explanation:
I WILL GIVE 50 POINTS AND BRAINLIEST
Select the correct answer.
Bryan works as a florist. The number of bouquets he makes is given by the equation , where b is the number of bouquets and h is the number of hours. How many hours would it take him to make 6 bouquets?
A.
6
B.
8
C.
12
D.
18
E.
24
Answer:
C. 12
Step-by-step explanation:
Answer:
The answer is c. 12
Step-by-step explanation:
Did the test got it right
Solve the equation for x.
2/3 x-1/9 x+ 5 = 20
Answer:
X=27
Step-by-step explanation:
Answer:
X=27
Step-by-step explanation:
you came for the answer not how i got it ;)
At the beginning of the season he could lift 560 pounds.Over the course of the weightlifting season he increased that by 45%.How much can he lift now? *
What is a question about a study of glass bottles and aluminum cans that science would not be able to answer?
Answer:
RANIA
Step-by-step explanation:
find the slope and y-intercept of the graph below
Answer:
The slope is 25. The y intercept is 75.
Step-by-step explanation:
The graph constantly goes up by 25 for every unit of 1. The y intercept is 75 because that is the value given on the y-axis when x is 0.
need help with this question plzzz
Answer:
134or 2334
Step-by-step explanation:
A lady has 30 oatmeal cookies and 48 chocolate chip cookies. She wants to put them in a container contains the cookies equal. What is the maximum amount containers. Used
Answer:
78 i think
Step-by-step explanation:
(5, 14) and (18,3)? Helppppppppp
HELLPPPPPPPP ASAPPPPPPPP PLEASEEEEE
Answer:
B=fh
Step-by-step explanation:
I think?
Basically divided by b to get h over b and then times by h to get b=fh (you want to be get on its own)
Answer:
h÷f or h/f
Step-by-step explanation:
f × b = h so h ÷ f = b
the first blank is 25 the second blank is 10 what is the slope
Answer:
5/2
Step-by-step explanation:
25 and 10 so 25/10 or 5/2 or 2 1/2
help me please.
[tex]help \: me[/tex]
The solution is where the two lines cross each other:
(-1,3) and (2,6)
The answer is B.