Given:
The two points are A(1, 3, −2) and C(4, −4, 4).
Point B divides AC in the ratio 1: 2.
To find:
The coordinates of B.
Solution:
If a point divides a lines segment in m:n, then the coordinates of that point are:
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n},\dfrac{mz_2+nz_1}{m+n}\right)[/tex]
Point B divides AC in the ratio 1: 2. So, the coordinates of point B are:
[tex]Point=\left(\dfrac{1(4)+2(1)}{1+2},\dfrac{1(-4)+2(3)}{1+2},\dfrac{1(4)+2(-2)}{1+2}\right)[/tex]
[tex]Point=\left(\dfrac{4+2}{3},\dfrac{-4+6}{3},\dfrac{4-4}{3}\right)[/tex]
[tex]Point=\left(\dfrac{6}{3},\dfrac{2}{3},\dfrac{0}{3}\right)[/tex]
[tex]Point=\left(2,\dfrac{2}{3},0\right)[/tex]
Therefore, the coordinates of B are [tex]Point=\left(2,\dfrac{2}{3},0\right)[/tex].
In a group of 1,000 students, 260 are freshman, 250 are sophomores, 270 are juniors and 230 are seniors. What is the probability that a person chosen at random is NOT a sophomore? (2 points)
.25
.50
.75
.03
Answer:
.75
Step-by-step explanation:
1000-250=750
750/1000 = 3/4
3/4 = .75
The dot plot plots below show the number of pets
per household for Mrs. Anderson's class. Determine
the median of the data.
th 十
0 1 2 3 4 5 6 8
Number of Pets per Household
7
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Keep on crossing off the dots. One for the left, one for the right. At the end, you will be left with two dots over the #2. Add those and divide by 2. You will get 2.
Lanie was practicing her free throws. She shot nine times and made five baskets. At this ratio, how many times will she need tp shoot to make 35 baskets?
Answer:
65 throws
Step-by-step explanation:
5/9 = 35/x
5x = 315
x = 63
I need help with Part 2 of this question please include a explanation
he quadrilateral is a rectangle. Find
Answer:
You have to set them equal to each other and then solve for x
Step-by-step explanation:
Answer:
∠GJK = 22°
Step-by-step explanation:
5x+8 = 7x-16
2x = 24
x = 12
∠GJK = 90-(7x12-16) = 22°
Is (3, 7) a solution to x² + 1 = y ?
Answer:
No
Step-by-step explanation:
3² + 1 = 7? Nopeeeee
3 * 3 = 9, that alone is bigger than 7.
3 * 3 + 1 = 10.
10 is bigger than 7.
Answer:
No
Step-by-step explanation:
To know if (3, 7) is a solution, plug 3 into the x and 7 into the y.
[tex](3)^{2} +1=7[/tex]
9 + 1 = 7
[tex]10\neq 7[/tex]
Therefore, (3, 7) is not a solution.
What is the right answer?
Answer:
The answer is 34
Step-by-step explanation:
so you need to fine out the value of x
Ev ya chhfff chu BFF go hghggfffbgjv
Answer:
Step-by-step explanation:
QUESTION 1: simplify 18-24÷8+7
QUESTION 2: simplify 9²-32÷(3+4⁰)
QUESTION 3: simplify 8(5)-(3+2)²
Answer:
1. 22
2.73
3.15
Step-by-step explanation:
Can someone plzzz helppp meeee!!!!!!!!
Answer:
Radius of the Inner circle:
5.4 is the diameter so find the radius, divide by 2 = 2.7
Next, take pi (3.14) and multiply with the radius (2.7), and use a power of 2.
3.14(2.7)^2 = 22.8906. Then round to the nearest tenth: 23.
Radius of Outer circle:
2.2 is the diameter so find the radius, divide by 2 = 1.1
Next, take pi (3.14) and multiply with the radius (1.1), and use a power of 2.
3.14(1.1)^2 = 3.7994. Then round to the nearest tenth: 4.
Radius of the Inner circle: 23
Radius of Outer circle: 4
Please let me know if it was correct!
1/9 x (1/2) ^3 please help
Answer:
1/72
Step-by-step explanation:
1/2×1/2×1/2=1/8
1/9 × 1/8 =1/72
For the function f(x)=(x+3) (x+1)^n (x-2)^2, what is the multiplicity of the zero at x = 2?
Group of answer choices:
a.3
b.1
c.n
d.2
Answer:
D.2
Step-by-step explanation:
When graphed, the line touches x=2 twice.
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=46°, and FG = 91 feet. Find the length of EF to the nearest tenth of a foot
Answer:
126.5
Step-by-step explanation:
Help! Multiply the following polynomials.
(3x-5)(x-5)
Answer:
25+3x simplified
Step-by-step explanation:
HOPE THIS HELPS YOU OUT! BE THE FIRST TO COMMENT /FREE ON THESE COMMENTS TO GET A FREE BRAINLIY AWARD! PLZ ALSO CONDISER MARKING ME BRAINLIEST AND THANKS! MY JOURNEY HAS JUST BEGAN ON BRAINLY SO ASK ME IF U HAVE ANY QUESTIONS! -BEACHVIBES23
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present?
Answer:
10
One tank is 25 buckets of water, so 2/5 of a tank is 10 buckets of water.
Answer:
62.5
Step-by-step explanation:
Let the capacity of 1 bucket = x.
Then, the capacity of tank = 25x.
New capacity of bucket = 2x/5
Required number of buckets = 25x / (2x/5)
= 25x * 5/2x
= 125/2 = 62.5
The figure shown down below is a rectangle. Find the missing value.
Answer:
V= 100°
X=50°
Y=40°
Z=40°
Step-by-step explanation:
All angles in a triangle add up to 180°, and you know that the corners are 90° because it is a rectangle.
I need help! ABCD is a rectangle.
m<1 =
m<6 =
m<3 =
Answer:
m∠1 = 24°
m∠3 = 66°
m∠6 = 66°
Step-by-step explanation:
They are all near the corners of the rectangle
The corners always equal 90°
But as you can see, they are split down the middle by the X in the rectangle and we have only one angle to go off of; 24°
Since m∠1 is in the same triangle as that angle, and it looks exactly the same, the angle is exactly the same.
m∠3 and m∠6, if you look closely, are also the same. And as I said before, the corners always are 90°. Since 24° is taken from the neighboring triangle, the amount left is 66°, and remember, 24° + x° HAS to equal EXACTLY 90°. So
90 - 24 = 66
So both m∠3 and m∠6 = 66°
The graph shown compares the amount of money Mark (M) and Gloria (G) are saving. How many weeks after Mark started saving did Gloria have the same amount of money as Mark? Enter the time (in weeks) when Mark and Gloria had the same amount of money. How many weeks?
Answer:
where is the graph
Step-by-step explanation:
Answer: it’ll be 5 weeks
Steven walked a total of 8 kilometers by making 4 trips to school. After 10 trips to school,
how many kilometers will Steven have walked in total? Assume the relationship is directly
proportional
Answer:
20 km
Step-by-step explanation:
He walks 2 km every trip
Answer:
20 kilometers i think
Step-by-step explanation:
Calculate the area of a square with a side length of 12 cm.
Answer:
24 cm squared
Step-by-step explanation:
Question 1 (1 point)
The transformation shown here maps each point on the preimage up 5 and right 4. What type of transformation is this?
translation
reflection
rotation
I NEED THIS NOW
Yasmeen uses 18 meters of a ribbon to make hair bows. She will cut the ribbon equally into 8 pieces. What is the length in meters of each piece of ribbon? (Solve by using Standard Algorithm)
Answer:
2.25 meters or 9/4 meters
Step-by-step explanation:
18/8= 9/4 or 2.25
Explain the different ways you can name an angle. What
are the different names for this angle?
SERE
R
1
s
Answer:
∠RST, ∠TSR, ∠S
Step-by-step explanation:
When using three letters, the middle letter must be the vertice of the angle, and the other two are the points surrounding it. You can also just use a single letter to name the angle if there is only one angle at that vertice.
8x + y = -39
2x - 5y = 27
Solve the system by elimination
Answer:
(-4, -7)
Step-by-step explanation:
21y=-147
y=-7
2x-5x(-7)=27
x=-4
I have to identify the like terms,then simply each expression
1.
[tex] ({a}^{2} - {2a}^{2} ) - ( {3a}^{2} - {4a}^{2} )[/tex]
Answer:
0
Step-by-step explanation:
it's easy
(a- 2a) – (3a – 4a²)
Combine a and -2a2 to get -a?.
a? - (32 – 4a?)
Combine 3a2 and -4a2 to get -a?.
-a?-(-a)
The opposite of -a2 is a?.
ta²
Combine - and a to get 0.
Answer:
your answer is nothing i mean 0
Hope it helps you if yes then make me brainist.
solve for x in this triangle
Answer:
x = 5.006 (approximate answer)
Step-by-step explanation:
According to the instructions, the two triangles are similar. Thus, we can write and solve an equation of ratios:
2x - 10 39
-------------- = ------------
78 169
x - 5 1
This reduces to ------------ = -----------
1 169
or (after cross-multiplication) 169x - 845 = 1
Solve for x: Add 845 to both sides, which results in 169x = 846
Dividing both sides by 169 results in x = 5.006 (approximate answer)
Herve has 3 licorice sticks. he wants to share them equally with four other friends. which fraction of a licorice sticks should each of the 5 friends get
Answer:
[tex] \boxed{ \tt\frac{3}{5} }[/tex]
f(x) = x2 + 2x + 1, find f(x + h) and simplify.
Given:
The function is
[tex]f(x)=x^2+2x+1[/tex]
To find:
The value of [tex]f(x+h)[/tex] in simplified form.
Solution:
We have,
[tex]f(x)=x^2+2x+1[/tex]
Putting [tex]x=x+h[/tex], we get
[tex]f(x+h)=(x+h)^2+2(x+h)+1[/tex]
[tex]f(x+h)=x^2+2xh+h^2+2x+2h+1[/tex]
[tex]f(x+h)=x^2+h^2+2xh+2x+2h+1[/tex]
Therefore, the simplified value of [tex]f(x+h)[/tex] is [tex]x^2+h^2+2xh+2x+2h+1[/tex].
HI PLEASE HELPPPPPP
Find the area of the figure.
square with sides of 4.9 ft
The area of the square is ft2.
Answer:
24.01 is the answer.....
Hope it helps!!!