Answer:
B
Step-by-step explanation:
If point [tex]O(x_O,y_O)[/tex] divides the segment CD with endpoints at [tex]C(x_C,y_C)[/tex] and [tex]D(x_D,y_D)[/tex] in the ratio [tex]m:n,[/tex] then
[tex]x_O=\dfrac{nx_C+mx_D}{m+n}\\ \\y_O=\dfrac{ny_C+my_D}{m+n}[/tex]
In your case,
[tex]x_C=-4\\ \\y_C=3\\ \\x_D=8\\ \\y_D=-1\\ \\m:n=2:3,[/tex]
then
[tex]x_O=\dfrac{3\cdot (-4)+2\cdot 8}{2+3}=\dfrac{-12+16}{5}=\dfrac{4}{5}\\ \\y_O=\dfrac{3\cdot 3+2\cdot (-1)}{2+3}=\dfrac{9-2}{5}=\dfrac{7}{5}[/tex]
-90 greater than or equal to 18x
Answer:
The required Expression is
[tex]-90 \geq 18x[/tex]
Also for x Divide by 18 on both the side
[tex]\dfrac{-90}{19}\geq \dfrac{18x}{18}\\\\-5\geq x\\\\x\leq -5[/tex]
Step-by-step explanation:
-90 greater than or equal to 18x .
It is the Algebraic Expression in Statement form.
Algebraic Expression is given in the form numbers and variables with the operands such as,
' + ' Plus Sign
' - ' Minus Sign
' > ' Greater Sign
' = ' Equal Sign
' ≥ ' Greater than or Equal to Sign ,etc.
Here -90 Greater than or Equal 18 x
Therefore , -90 ≥ 18x
The required Expression is
[tex]-90 \geq 18x[/tex]
Also for x Divide by 18 on both the side
[tex]\dfrac{-90}{19}\geq \dfrac{18x}{18}\\\\-5\geq x\\\\x\leq -5[/tex]
PLEASE HELP ME
Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”.
Answer:
Reflection in the x-axis followed by a translation 5 units left and 1 unit up
Step-by-step explanation:
The coordinates of X are (-6,2).
When we reflect in the x-axis we get X'=(-6,-2)
When we translate by the rule T(x-5,y+1), we get X"=(-6-5,-2+1)=(-11,-1)
The coordinates of Y are (-4,7).
When we reflect in the x-axis we get Y'=(-4,-7)
When we translate by the rule T(x-5,y+1), we get Y"=(-4-5,-7+1)=(-9,-6)
The coordinates of Z are (-2,2).
When we reflect in the x-axis we get Z'=(-2,-2)
When we translate by the rule T(x-5,y+1), we get Z"=(-2-5,-2+1)=(-7,-1)
Therefore the sequence of transformation is a reflection in the x-axis followed by a translation 5 units left and 1 unit up.
Solve this equation 2(x + 2)/3 = 6
Answer:
Step-by-step explanation:
2(x + 2)/3 = 6
multiply by : 3
2(x + 2) = 18
2x+4 = 18
2x = 18-4=14
x=14/2
x=7
Which system of linear inequalities has the point (2,1) in its solution set
Answer:
the 2nd one
Step-by-step explanation:
Answer:
its D in edge
Step-by-step explanation:
Explain why when a rectangular prism is sliced at an angle a variety of shapes can be formed.
Answer:
A two-dimensional slice of a three-dimensional solid is called a cross section. Rectangular prisms have the unique property that a perpendicular cross section (a slice of the prism at a 90-degree angle) always creates a rectangle, no matter where on the prism the cross section is taken.
There are three different types of cross sections of a rectangular prism: x-axis, y-axis and z-axis cross sections, corresponding to slices along one of the three dimensions of space. The sum of these three cross sections is equal to half the surface area of the prism.
Different shapes are formed when a rectangular prism is sliced at different angles due to the way the cut intersects the prism's dimensions. For instance, if you cut diagonally or at an angle, the resulting face could be a parallelogram or even a triangle.
Explanation:When a rectangular prism is sliced at an angle, a variety of shapes can form because of the geometry and dimensions of the prism. Imagine a simple rectangular prism, like a cube. If you slice it horizontally or vertically, you’ll simply create smaller rectangles or squares. However, if you cut diagonally or at an angle, the resulting face could be a parallelogram or even a triangle, depending on how the cut is made. This is a result of changing the orientation of the cut relative to the prism's structure. So, the variety of shapes come as a result of the way the cut intersects the prism's dimensions.
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could someone help me in this quest plz
Reflections, rotations, and translations are types of transformations. A reflection flips an image, a rotation spins an image, and a translation slides an image. Draw a shape on a piece of paper and cut it out. Then, flip it, spin it, and slide it. Explain how each transformation affects the size and shape of the image you drew.
Answer:
Step-by-step explanation:
first if you reflect an image its still identical think of it as a mirror its the same but on the other side. so if you flip it over the x or y axis it would just be as if you folded the paper and shape is on the other side. a rotation would be as if you moved the shape to another quadrant so if you move it 90 degres to the left it would be be turned slightly and a transformation if you slide it up the image is however many space it was from its current location. so each one moves it from its current location
Answer:Even if you mirror an image, it remains the same. Imagine it as a mirror with the same thing on the opposite side. Therefore, if you turned it over on the x or y axis, the shape would be on the other side just like if you had folded the paper. A transformation would be like sliding the object up however many spaces it was from its current location. For example, if you moved the shape 90 degrees to the left, it would be turned somewhat. A rotation would be like moving the shape to another quadrant. so they all relocate it from their current positions.
Step-by-step explanation:
collins middle school has 264 sixth grade students. if the sixth grade is 40% of the total school, how many students are in the middle school? please help !!!
Answer:
660
Step-by-step explanation:
y x .40= 264
solve for y
At a football game, a vender sold a combined total of 213 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the
number of sodas and the number of hot dogs sold.
142 sodas and 71 hot dogs are sold
Solution:
Let "a" be the number of sodas sold
Let "b" be the number of hot dogs sold
At a football game, a vender sold a combined total of 213 sodas and hot dogs
Therefore,
number of sodas sold + number of hot dogs sold = 213
a + b = 213 ------------ eqn 1
The number of sodas sold was two times the number of hot dogs sold
Number of sodas sold = two times the number of hot dogs sold
a = 2b ---------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
2b + b = 213
3b = 213
b = 71
Substitute b = 71 in eqn 2
a = 2(71)
a = 142
Thus 142 sodas and 71 hot dogs are sold
Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept. Slope 4; y-intercept (0,-8/9)
Type answer in slope-intercept form
[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{-\frac{8}{9}}) ~\hspace{10em} \stackrel{slope}{m}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\left(-\cfrac{8}{9} \right)}=\stackrel{m}{4}(x-\stackrel{x_1}{0}) \\\\\\ y+\cfrac{8}{9}=4x\implies y = 4x-\cfrac{8}{9}[/tex]
Slope-intercept form: y = mx + b [m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y)]
Since you know:
m = 4
[tex]b=-\frac{8}{9}[/tex] Plug it into the equation
y = mx + b
[tex]y=4x-\frac{8}{9}[/tex]
Line that is parallel to y= -3/2x-1
Answer:
See below.
Step-by-step explanation:
There is an infinite number of lines parallel to y = -3/2x - 1.
They have the same slope, -3/2, and a different y-intercept.
Examples:
y = -3/2x + 1
y = -3/2x
y = -3/2x - 5
What is x in -3x-8y=20, -5x+y=20
The value of x is -4.186
Solution:
Given equations,
[tex]-3x-8y=20\rightarrow(1)[/tex]
[tex]-5x+y=20\rightarrow+y=20+5x\rightarrow (2)[/tex]
On substituting (2) in (1) we get,
-3x-8(20+5x)=20
-3x-160-40x=20
On solving we get,
-160-43x=20
-43x=20+160
On grouping the known and unknown terms,
x=180/-43
x=-4.1860
What numbers have 12,24 and 36 as multiples?
Answer:
The answer is 2,3,4 and ,6
Step-by-step explanation:
This is because 12,24,and 36 can all be divided by 2,,3,,4, and 6
Pls help solve with steps
Answer:
Step-by-step explanation:
God what grade are u in
Thomas is training for a race by running on a circular path. He knows that it is 0.75 mile
from the tree in the center of the circular path to the path. How long is the path?
The length of the path that Thomas runs on the circular path is approximately 4.71 miles.
Thomas is training for a race by running on a circular path. To find out the length of the path, we need to calculate the circumference of the circle using the radius provided (0.75 mile from the tree in the center of the circular path to the path).
The formula for the circumference of a circle is [tex]C = 2 \times \pi \times r,[/tex] where C is the circumference and r is the radius of the circle.
Substituting the given radius (0.75 mile) into the formula gives us: [tex]C = 2 \times \pi\times 0.75.[/tex]
By using 3.14159 as an approximation for π the calculation would be
[tex]C = 2 \times 3.14159 \times 0.75 = 4.71238875 miles.[/tex]
Therefore, the length of the path that Thomas runs on the circular path is approximately 4.71 miles.
7 points each plus brainliest! 2/7 divided by 2 3/4
Answer:8/77
Step-by-step explanation:
Answer: 8/77
Step-by-step explanation:
2/7 divided by 11/4 = 2/7 x 4/11
2/7 x 4/11 = 8/77
If y varies directly as x, and y is 20 when xis 4, what is the constant of variation for this relation?
Answer:
The constant of variation for this relation is k = 5
Step-by-step explanation:
Step:1
given 'y' varies directly as x that is [tex]y \alpha x[/tex]
[tex]y = kx[/tex] where k is constant ........(1)
Given y value is 20 and x value is 4
now substitute x = 4 and y=20 in equation (1)
we get solution, 20 = k (4)
dividing '4' on both sides, we get
k = 5
verification:-
y = k x
put k= 5 , y=20 and x= 4
20 = 20
Which of the following statements could be translated to the equation n-5=-2?
If five is subtracted from a number, the result is two.
The difference between a number and five is negative two.
A number less than five equals negative two.
Five less a number is equal to two
Answer: The difference between a number and five is negative 2
Step-by-step explanation:
Answer:
The difference between a number and five is negative 2.
Step-by-step explanation:
~King from 7 deadly sins~
Solve for a.
α+ (-7) = -17
What is the answer?
Ο α = -24
Ο
= -10
O a = 10
O a = 24
HELPPPP
Answer:
a=24
Step-by-step explanation:
a+(-7)=-17
a+(-7)(+7)=-17+7
a=24
The numbers represented by variables w and y on the number line are integers.
If w < x < y, under which of the following conditions could the expression x > 2 be true? Select TWO that apply.
A
when y = 6 and w = 2
B
when y = 4 and w = –1
C
when y = 2 and w = 0
D
when y = 0 and w = –2
E
when y = –1 and w = –4
Option A) when y=6 and w= 2, Option B) when y=4 and w=-1 are the TWO correct choices.
Step-by-step explanation:
The given inequality is w<x<y and x>2.
step 1: let us assume that x=3, since it is given that x>2.
step 2: substitute the value of x=3 and each options in the inequality
step 3: option A) w=2, y=6. Then w<x<y = 2<3<6 (the condition satisfies).
option B) w= -1, y=4. Then w<x<y = -1<3<4 (the condition satisfies).
option C) w= 0, y=2. then w<x<y ≠ 0<2<2 (does not satisfies).
option D) w= -2, y=0. then w<x<y ≠ -2<2<0 (does not satisfies).
option E) w= -4, y= -1. then w<x<y ≠ -4<2<-1 (does not satisfies).
I don’t need an explanation I just need the answer
Answer:
C
Step-by-step explanation:
Answer:
the answer is the third one
Madeline is selling sketches for $2 and
color prints for $5 at a comic convention.
Madeline leaves the table and asks her
friend Chris to run the table for her. She
returns to find Chris has made $93. Chris
doesn't know how many of each item he
sold, but he remembers that he sold a
total of 30 sketches and colored prints.
Below is Madeline's work in determining
how many of each item was sold.
Answer:
A,B,C
Step-by-step explanation:
When we look at her work, which you write in comment we can see that she make mistake. So lets answer your questions .
A) Because we cannot have 8.25 prints, we can just have integer 8 or 9. or some other integer.
B) explain Madeline mistake :
2(30-p)+5p=93 in this she needs to multiply 2 by 30 and 2 by -p, which she didnt.
C) When we correct mistake we can evaluate how much Chris sell.
60-2p+5p=93
3p=33
p=11
s=30-p=19
So, Chris sells prints 11 and sketches 19
PLEASE CAN SOMEONE,ANYONE HELP ME. This is a 7th grade math homework please HELP ME
Answer:
Step-by-step explanation:
It’s positive
-16
$3.85 per gallon
Carmen has a deck of cards numbered 1-10. She picks one card and flips a coin. How many outcomes are possible.
Answer:
10
Step-by-step explanation:
Out of the ten cards she has ten chances to pick each one
The total number of possible outcomes will be 20.
What is a random sample?Random sampling is the method of selecting the subset from the set to make a statical inference.
Carmen has a deck of cards numbered 1-10. She picks one card and flips a coin.
Then the total number of samples is calculated as,
Total sample = 10 x 2
Total sample = 20
The samples are given below.
(1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (7, H), (8, H), (9, H), (10, H)
(1, T), (2, T), (3, T), (4, T), (5, T), (6, T), (7, T), (8, T), (9, T), (10, T),
The total number of possible outcomes will be 20.
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chris had 11 toys * a square = 22
Answer:
242
Step-by-step explanation:
11x22=242
4a=16, a=10
What’s the answer?
Answer: = 4 + 0.5b i think
Find the sticker price for a vehicle with the following features and costs: suggested retail price of $12,720, destination charge of $460, equipped with cruise control, defogger, and an AM/FM radio for $235, $148, and $153, respectively.
a $14,480
b $13,256
c $12,720
d$13,716
The right answer is Option D.
Step-by-step explanation:
Given,
Retail price = $12,720
Destination charge = $460
Cruise control = $235
Defogger = $148
AM/FM radio = $153
Sticker price = Sum of all feature costs
Sticker price = 12720+460+235+148+153
Sticker price = $13716
The right answer is Option D.
Keywords: addition
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Final answer:
To find the vehicle's sticker price, add the suggested retail price to the destination charge and the costs of additional features, resulting in a total of $13,716.
Explanation:
The question involves calculating the total sticker price for a vehicle by adding up various costs. We start with the suggested retail price, then include the destination charge and the costs of the additional features such as cruise control, defogger, and an AM/FM radio.
Start with the suggested retail price: $12,720.Add the destination charge: $460.Add the cost of cruise control: $235.Add the cost of the defogger: $148.Add the cost of the AM/FM radio: $153.To find the total sticker price, we simply add all of these amounts together:
Sticker Price = Suggested Retail Price + Destination Charge + Cost of Cruise Control + Cost of Defogger + Cost of AM/FM Radio
Sticker Price = $12,720 + $460 + $235 + $148 + $153 = $13,716
Therefore, the correct answer is d. $13,716.
whats the factors of 3x2+4x+1
What is the approximate volume of a cone with a radius of 15 cm and a height of 4 cm? Round your answer to the nearest hundredth and include units
Answer:
Volume of a cone [tex]=942.86cm^3[/tex]
Step-by-step explanation:
Given that the radius of a cone is 15cm and its height is 4cm
That is r=15cm and h=4cm
To find the volume of a cone :
volume of a cone[tex]=\frac{\pi r^2h}{3}[/tex] cubic units
Now substitute the values in the formula we get
volume of a cone[tex]=\frac{(\frac{22}{7}) (15)^2(4)}{3}[/tex]
[tex]=\frac{(\frac{22}{7}) (225)(4)}{3}[/tex]
[tex]=\frac{19800}{21}[/tex]
[tex]=942.857[/tex]
Now round to nearest hundredth
[tex]=942.86[/tex]
Therefore Volume of a cone[tex]=942.86cm^3[/tex]
What is -12/11 = -3/?
Answer:
According to my calculations, the missing number is 11/4
Step-by-step explanation:
The lines y = x and x = a enclose a triangle with the x- and y-axes.
a) Find the area of the triangle when a = 5
Answer: 12.5
Step-by-step explanation:
As y=x has a slope of 1, it will intersect the line x = 5 at a value of 5, creating an isocoles right triangle with leg length 5. The area of a triangle = (b*h)/2. (5*5)/2 = 12.5 square units
To find the area of the triangle enclosed by the lines y = x and x = a when a = 5, we need to determine the coordinates of the vertices of the triangle. The vertices are (0, 0), (5, 0), and (5, 5). Using the coordinates, we can find the base and height of the triangle and then apply the formula for the area of a triangle.
Explanation:To find the area of the triangle enclosed by the lines y = x and x = a, where a = 5, we need to determine the coordinates of the vertices of the triangle. The vertices will be the points where the lines intersect the axes. For y = x, the vertex is (0, 0), and for x = a, the vertex is (5, 0). The third vertex will be the point where these two lines intersect, which can be found by substituting the value of a into the other equation. So, when a = 5, the third vertex is (5, 5).
We can now use the coordinates of the vertices to find the base and height of the triangle. The base is the distance between the points (0, 0) and (5, 0), which is 5 units. The height is the distance between the points (5, 0) and (5, 5), which is also 5 units.
The formula for the area of a triangle is (1/2) × base × height. Substituting the values, we have (1/2)× 5 × 5 = 12.5 square units. Therefore, the area of the triangle when a = 5 is 12.5.
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