Answers
Answer:
12
Step-by-step explanation:
End points of [tex]\overline{RS}[/tex] are:
[tex]R (4, \:-8)\implies x_1 = 4,\: y_1=-8[/tex]
[tex]S (25, \:-1)\implies x_2 = 25,\: y_2=-1[/tex]
Point T divides [tex]\overline{RS}[/tex] in the ratio 4 : 3
[tex]\implies m = 4,\: n= 3[/tex]
Now, by section formula:
[tex]T=\bigg(\frac{mx_2+nx_1}{m+n},\:\:\frac{my_2+ny_1}{m+n}\bigg)[/tex]
Plugging in the values of [tex]x_1 ,\: y_1, \:x_2,\: y_2\:\&\: m, \: n[/tex] in the above formula, we find:
[tex]T=\bigg(\frac{4(25)+3(4)}{4+3},\:\:\frac{4(-1)+3(-8)}{4+3}\bigg)[/tex]
[tex]\implies T=\bigg(\frac{100+12}{7},\:\:\frac{-4-24}{7}\bigg)[/tex]
[tex]\implies T=\bigg(\frac{112}{7},\:\:\frac{-28}{7}\bigg)[/tex]
[tex]\implies T=(16,\:\:-4)[/tex]
Sum of the coordinates of T = 16 + (-4) = 16 - 4 = 12
Related Questions
Find the area of the triangle
Answers
Answer:
10.92cm square
Step-by-step explanation:
Area of a triangle= length * width/ 2
7.8*2.8=21.84
21.84/2=10.92
Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
Slope, m =
y-intercept, b =
Answers
Answer:
y = 5x + 3
Step-by-step explanation:
If the slope is 5 and the y-intercept is 3, we can substitute the value of the variables into the formula.
y = mx + b
y = (5)x + 3
y = 5x + 3
I hope this helps!
The nth term of a different arithmetic sequence is 3n + 5
(b) Is 108 a term of this sequence? Show how you get your answer.
Answers
Answer:
No 108 is not a term of this sequence.
Step-by-step explanation:
3n+5 = 108
3n = 108 - 5
3n = 103
Divide both side with 3.
n = 103/3
n = 34.33
since n is not equal to 108 there it is not
Answer:
see below
Step-by-step explanation:
We can determine if 108 is a solution by setting 3n+5 =108
3n+5= 108
Subtract 5 from each side
3n+5-5=108-5
3n = 103
Divide by 3
3n/3 = 103/3
n = 103/3
This is not an integer so 108 is not a solutions
PLEASEE HELPPPPPPP ASAPPPPPPPPP
Answers
Answer:
yes its 50
Step-by-step explanation:
if you need an explanation let me know!
Type the missing number that makes these fractions equal: 1 2 = 2
Answers
Answer:
4
Step-by-step explanation:
[tex]\frac{1}{2} * 4[/tex] = 2
Hi please help with an explanation as well, I’ll reward branliest
Answers
Answer:
Perimeter of base: 40 :)
10 + 10 + 10 + 10 = 40
Slant height: 13
(it gives us this information) :)
Area of base: 100
10^2 = 100
Surface area: 65000
(1/2)(100 x 13)
1/2(1300)
650
Have an amazing day!!
Please rate and mark brainliest!!!
Answer and Explanation:
1) The perimeter is the sum of the base's side lengths, so it is:
P = 10 ft * 4 = 40 ft
2) The height can be calculated using the Pythagorean Theorem. Take half of the base's side length for the short leg (5 ft) and the slant height (13 ft) for the hyptenuse:
5^2 + h^2 = 13^2
25 + h^2 = 169
h^2 = 144
h = 12 ft
3) To find the lateral area, take the area of one of the triangular faces of the pyramid and multiply it by 4, since there are 4 triangular faces:
LA = 4 * (1/2)(10 * 13)
= 4 * 65
= 260 ft
4) The area of the base is the product of its dimensions:
A(base) = 10 * 10
= 100 ft^2
5) Surface area is the sum of the lateral area and the base's area, so just plug in the values from problems 3 and 4:
SA = LA + A(base)
= 260 + 100
= 360 ft^2
Which of the following is the graph of
y = |x – 1 – 4?
Answers
Ver en español
What is the surface area of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
395.64 sq. mm
hope it helps...!!!
is 3(a+y(6x))+(x+5) associative property of addition?
Answers
Answer:
Yes
Step-by-step explanation:
Your welcome!
Have a good day! :)
The equation is C=35+4n.
If C= 500 what would N be? Please I really need the answer
Answers
Answer:
116.25 or [tex]\frac{465}{4}[/tex]
Step by Step Explanation;
500=35+4n
Subtract 35 from both sides
465=4n
[tex]\frac{465}{4}=n[/tex]
[tex]116.25=n[/tex]
Hope This Helps! :) Please Mark as Brainliest!
n=116.25
Match the following, cylinder rectangular prism cone triangular prism square prism
Answers
Cylinder = 2πrh + 2πr²
where "h" - height, "r" - radiusRectangular Prism = 2lw + 2lh + 2wh also 2B + Ph
"l" - length, "w" - width, "h" - heightCone = πrl + πr²
"l" - slant height, "r" - radiusTriangular Prism = 2B + Ph
"B" - area of one base, "P" - perimeter of base, "h" - heightSquare Pyramid = 2l l + l²
"l " is height, "l" is side lengthThe manager of a car dealership is offering a bonus to any salesperson who sells 2 cars today. Lately, Kim has been able to sell a car to 20% of the customers she greets. She wants to know the probability that she gets the bonus if she greets 7 customers today. To determine this, she uses a random number generator. The following table shows 50 sets of 7 digits. For each digit, Kim assigns the numbers 0 and 1 to selling a car and the numbers 2 through 9 to not selling a car.
The experimental probability of Kim getting the bonus if she greets 7 customers today is
_______.
Answers
Answer:
o.48
Step-by-step explanation:
To find the experimental probability of Kim getting the bonus, count the number of sets of digits that have at least two 0's or 1's.
Notice there are 24 sets of numbers that have at least two 0's or 1's. So, the experimental probability of Kim getting the bonus if she greets 7 customers today is or 0.48.
3. 9, 11, 33, N, 105.
Answers
Answer:
N = 35
Step-by-step explanation:
The pattern in this sequence is x3, +2.
3 * 3 = 9
9 + 2 = 11
11 * 3 = 33
33 + 2 = N
N * 3 = 105
N = 33 + 2 = 105/3 = 35
A rectangle measures 2
2
_
3
inches by 1
5
_
9
inches. What is its area?
Answers
Answer:
40/25 or 1.481
Step-by-step explanation:
I dont know if its right but the multiplication give me this fraction or this decimal. Hope it helps :)
please help me i don't know the problem
Answers
Answer:
see below
Step-by-step explanation:
y = 2x+2
The line is in slope intercept form
y = mx+2 where m is the slope and b is the y intercept
The line intercepts the y axis is b or 2 ( 0,2)
The slope is m = 2
It means we go up 2 and over 1 (2/1)
Starting at (0,2) , up 2 and to the right 1 is ( 1,4)
The next point would be (2,6)
I dont really know what to do here, ive done a which is -2 but dont know how to do b. It is not 1/2x -1.5
Answers
Answer:
a) -2
b) y = -2x + 6
Step-by-step explanation:
Question (a)
Point A = (-1, -2)
Point B = (7, 2)
[tex]\sf gradient\:of\:AB=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{2-(-2)}{7-(-1)}=\dfrac{4}{8}=\dfrac12[/tex]
If lines are perpendicular to each other, the product of their gradients will be -1.
Let g be the gradient of the perpendicular line:
[tex]\implies \sf \dfrac12 \times g=-1[/tex]
[tex]\implies \sf g=-1 \div \dfrac12=-2[/tex]
Therefore, the gradient of the line perpendicular to AB is -2
---------------------------------------------------------------------------------------------
Question (b)
[tex]\sf midpoint\:of\:line = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]\sf let\:point\:A=(x_1,y_1)=(-1,-2)[/tex]
[tex]\sf let\:point\:B=(x_2,y_2)=(7,2)[/tex]
[tex]\sf \implies midpoint\:of\:line\:AB = \left(\dfrac{-1+7}{2},\dfrac{-2+2}{2}\right)=(3,0)[/tex]
We now know the gradient and a point on the perpendicular line.
So we can use the point-slope form of a linear equation:
[tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-0=-2(x-3)[/tex]
[tex]\implies \sf y=-2x+6[/tex]
The measures of the angles of triangle PQR can be represented in terms of x
The measure of angle P is (2x)
The measure of angle Q is
(x+17)
The measure of angle R is (x-21)
Create an equation that can be used to find the measure of each angle.
Answers
Answer:2x+(x+17)+(x-21)=180
Step-by-step explanation:
Angles in a triangle add to 180 degrees.
The equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180
How to create an equation to determine the angles?The given parameters are:
P = 2x
Q = x + 17
R = x - 21
The sum of angles in a triangle is 180.
So, we have:
P + Q + R = 180
Substitute known values
2x + x + 17 + x - 21 = 180
Hence, the equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180
Read more about triangles at:
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You randomly choose one Marble from the jar find the favorable outcome of the event
There are 6 blue marbles
4 red marbles and 2 green marbles
1. Choosing a blue marble
2.Not choosing a red marble
(Don’t mind the erased work it was a mistake I made)
Answers
Answer:
50% of blue
33.3333...% for not choosing red
help pls
just say what option
Answers
Answer:
D .the formation in the graph shows a positive non linear correlation, the weight of the dinosaur trends to increase according to its length.hope this helps you :)The information on the graph shows a positive nonlinear correlation and the weight of the dinosaur tends to increase according to its length.
What is a discrete graph?A discrete graph is also known as a scatter plot that shows the discontinuous and the nonlinear data point on the graph.
From the graph, we can see the increasing weight of the Dinosaur size vertical y-axis and the increasing length of the feet on the horizontal x-axis.
Therefore, we can conclude that the data points show an increasing nonlinear weight on the graph as the length increases.
Learn more about discrete graphs here:
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Thanks!! I'm just really confused abt this one question on IXL. I just need to answer this question and then I'm done.
Answers
Answer:
11/15
Step-by-step explanation:
What are the domain and range of the step function with the equation below?
fx)=-3[x]
The domain is all real numbers, and the range is all real numbers.
0 The domain is all integers, and the range is all integers that are multiples of 3.
O The domain is all real numbers, and the range is all integers that are multiples of 3.
The domain is all integers, and the range is all real numbers.
Answers
Answer:
he domain is all real numbers, and the range is all integers that are multiples of 3.
The domain and range of the step function with the equation; f(x)=-3[x] is; the set of all real numbers in both cases.
What is the domain and range of the function?The domain of a function is the set of all possible input values of the function, while the range of the function is the set of all possible output values of the function.
On this note, the function f(x)=-3[x] given has its domain and range to be the set of all real numbers.
Read more on domain and range;
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Find x:
A)3
B)2.5
C)4
D)7.5
Answers
Answer:
D
Step-by-step explanation:
Because I said so ho3
calculate the value of (6.9*10^-3)*(2*10^9) give your answer in standard form
Answers
plsss answer thiss.. i need it rn non sense answer will be reported
Answers
Answer:
Answer below in the picture
I hope my answer helps you.
What is the value of the y-intercept for all proportional relationships?
a. 1/2
b. 1/1
c. 0
d. 2
Answers
Answer:
a : 2 , b : 1 , c : 0 , d : 0
Step-by-step explanation:
a: 2
b: 1
c: 0
d:0
Answer:
d .
Step-by-step explanation:
I went over it in class .
HELP PLSSS - WILL MARK BRAINLIEST
Select the correct answer
which situation is best modeled by a nonlinear function with time as the independent variable?
A. The value of a gift card that decreases by three dollars each month
B. The value of a $20 bill
C. The value of a collectible baseball card that increases by constant factor of 1.1, or by 10%, each year
D. The value of an investment that increases by two dollars each week
Answers
Answer: Most likely it is A
Step-by-step explanation:
Although it should be B, because a non linear function doesn't have a rate of change. I already looked up this question many times so we know It's NOT C.
The best modeled by a nonlinear function with time as the independent variable is:
The value of a collectible baseball card that increases by a constant factor of 1.1, or by 10%, each year.
A nonlinear function is one that does not follow a straight line.
In this case, t
A) describes a linear function since the value of the gift card decreases by a fixed amount each month, resulting in a straight-line relationship.
B) describes a constant value, which is a special case of a linear function where there is no change over time.
C) The value of the collectible baseball card increases by a constant factor of 1.1 each year, which results in exponential growth. This behavior is best modeled by a nonlinear function.
D) describes a linear function since the value of the investment increases by a fixed amount each week, resulting in a straight-line relationship.
Learn more about nonlinear function here:
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Sassan finds that 2 pints 1 cup of water has evaporated from the class aquarium. How many pints of water are left in the aquarium
Answers
The pints of water left in the aquarium is 2.5 pints
Converting cups to pintUsing the conversion rule sho below:
1 cup = 0.5 pint
If Sassan finds that 2 pints 1 cup of water have evaporated from the class aquarium, the total pint that evaporated is expressed as:
Total pint = 2 pints + 0.5 pint
Total pint = 2.5 pints
Hence the pints of water left in the aquarium is 2.5 pints
Learn more on pints and cups here: https://brainly.com/question/26941359
What transformation of Figure 1 results in Figure 2?
Select from the drop-down menu to correctly complete the
statement.
Choices- Rotation
Reflection
Translation
HeLp
Answers
It was just moved, not turned around or made bigger.
Find the H.C.F and L.C.M. of the following.
（a）336,22,4
Answers
Answer:
hcf=2 lcm=3696
Step-by-step explanation:
Can anyone help me with my homework?
