3y - 5z = -23
4x +2y +3z = 7
-2x - y - z = -3
In your answer, can you please show work so that I can understand it myself
what percent is the fraction 2/10 equal to
simplify 1/5 b - 5 (2/5 a - 1/10 b) +4 a
simplify
A 2a - 3/10 b
B 2a + 7/10 b
C 2a - 7/10 b
D 2a +3/10 b
Explain two ways to find the volume of a plastic cube.
V=a^3 and volume=Length × Width × Height are the two ways to calculate the volume of cube.
What is three dimensional geometry?Three-dimensional space is a geometric setting in which three values are required to determine the position of an element.
A cube is a three-dimensional figure with 6 faces, 8 vertices and 12 edges.
In a cube all the sides are equal like a square.
So the volume of cube can be measured by
V=a^3
where a is the measure of a side.
And the volume of cube can also be found by
volume=Length × Width × Height
Hence V=a^3 and volume=Length × Width × Height are the two ways to calculate the volume of cube.
To learn more on three dimensional Geometry click:
https://brainly.com/question/2400003
#SPJ5
The graph of a piecewise-defined function is shown below.
On the interval (x≤0, x≤1, x<1, x<0) the function is given by the rule (x= - 1, y= - 1, y=1, x=1), and on the interval (x≥0, x>1, x≥1, x>0) the function is given by the rule (y= - 1, x= - 1, y= 1, x= 1).
Answer:
one of these is wrong cause i got a three out of four but thats better than nothing i guess.
Step-by-step explanation:
x≤0, y=1, x≥1, this one is the one i think is wrong but y=-1
Give the name of a quadrilateral that is formed when you have two bisected diagonals.
Write the base of −(−6)^5.
If you subtract twelve from twice a number, the result is eight. what is the number?
round 4,719,429 to the nearest 10,000
The hexagon GIKMPR and FJN are regular. The dashed line segments form 30 degree angles.
What is? (attached)
The dashed line segments form 30-degree angles in the given diagram of a regular hexagon and triangle.
In the given diagram, hexagon GIKMPR and triangle FJN are regular. The dashed line segments form 30-degree angles.
Since hexagon GIKMPR is regular, all its interior angles are equal. Each angle of a regular hexagon is 120 degrees, so angle GIK is 120 degrees.
The angle at GIK can be split into two equal angles by the dashed line segment, so each of these angles measures 60 degrees.
Similarly, since triangle FJN is regular, each of its angles measures 60 degrees.
Therefore, the dashed line segments form two 30-degree angles each side of the regular hexagon and triangle.
The correct answer is option d. The image of [tex]\overline{OQ}[/tex] after a rotation of 300 degrees about point O is [tex]\overline{OF}[/tex].
To find the image of line segment [tex]\( \overline{OQ} \)[/tex] after a rotation of [tex]\( 300^\circ \)[/tex] about point O, we need to understand that a rotation of [tex]\( 300^\circ \)[/tex] is equivalent to rotating [tex]\( 60^\circ \)[/tex] clockwise. This is because rotating [tex]\( 360^\circ \)[/tex] would bring us back to the original position, so a rotation of [tex]\( 300^\circ \)[/tex] is the same as rotating [tex]\( 360^\circ - 60^\circ = 300^\circ \)[/tex].
Given that line segment [tex]\( \overline{OQ} \)[/tex] forms a [tex]\( 30^\circ \)[/tex] angle with the dashed lines, after a rotation of [tex]\( 300^\circ \)[/tex], it will form a [tex]\( 30^\circ \)[/tex] angle with the new position of the dashed lines.
Therefore, the image of line segment [tex]\( \overline{OQ} \)[/tex] after the rotation is [tex]\( \overline{OF} \)[/tex].
The complete question
The hexagon GIKMPR and FJN are regular. The dashed line segments form 30 degree angles.
Find the image of [tex]\overline{OQ}[/tex] after a rotation of 300 degree about point O.
a. [tex]\overline{OJ}[/tex]
b. [tex]\overline{OH}[/tex]
c. [tex]\overline{OQ}[/tex]
d. [tex]\overline{OF}[/tex]
the proportion of the perimeter of two similar polygons is blank the proportion of any pair of corresponding side lengths
A. greater than
B. equal to
C. less than
D. variable to
A symmetrical binomial distribution with large sample size can be approximated by a __________
Factor this polynomial expression. 2x2 + 12x + 18
Answer: 2(x+3)(x+3)
i just took the test
A ship is carrying 10,250 pounds of individually boxed TV sets. If each box weighs 20.5 pounds, how many boxes are on the ship?
divide total weight by weight of each box
10250 / 20.5 = 500 boxes total
Please help me thank you.
find the sum of the first 30 terms of the equation below: an=4n+1
Answer:
1,890 is the sum of the first 30 terms of the equation .
Step-by-step explanation:
[tex]a_n=4n+1[/tex]
if , n = 1
[tex]a_1=4\times 1+1=5[/tex]
If, n = 2
[tex]a_2=4\times 2+1=9[/tex]
If, n = 3
[tex]a_3=4\times 3+1=13[/tex]
The arithmetic sequence comes out to be:
5, 9, 13........
a = 5
d = [tex]a_2=a_1=9-5=4[/tex]
The sum of first 30 terms is given by:
[tex]S_n=\frac{n}{2}\times (2a+(n-1)d)[/tex]
[tex]S_{30}=\frac{30}{2}\times (2\times 5+(30-1)\times 4)[/tex]
[tex]S_{30}=1,890[/tex]
1,890 is the sum of the first 30 terms of the equation .
How to Graph y=4/5x-7
To graph the equation y = 4/5x - 7, plot the y-intercept at -7 and use the slope to find a second point before drawing a line through the two points.
Explanation:To graph the equation y = 4/5x - 7, follow these steps:
Start by plotting the y-intercept at -7 on the y-axis.Use the slope 4/5 to find a second point by moving up 4 units and to the right 5 units. Plot this point.Draw a straight line through these two points to represent the graph of y = 4/5x - 7.A pair of shoes costs $25 to make. This means that you need to charge a price of at least ___ just to cover your cost.
Answer: $25
Step-by-step explanation: you are not trying to make a profit. You are just trying to cover your cost and they cost $25 to make.
If the area of a square is 49 square inches, how long must each side be?
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a radius of 7 inches.
Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?
Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?
Show all work.
Look at the figure. If doing a two-column proof, what will be the very last statement?
Question 1 options:
X = 15
MN¯¯¯¯¯¯¯ = RS¯¯¯¯¯
Division Property of Equality
3x+3 = 5x-27
Save
How can the pythagorean theorem be used to classify acute, right, and obtuse triangles?
The diameter of a small gear is 16 cm this is 2.5 more than 1/4 of the diameter of a larger gear ehat is the diameter of the larger gear
Which expression is equal to (-12-2i)+(2+2i)
a) 10
b) -10
c) 10-4i
d)-10-4i
How many numbers are divisible by 100 between 1 and 6296?
If Juan paid $21.30 for 7.1 pounds of salmon, what was the price of 1 pound of salmon?
Perform the indicated operation. square root of 8 + square root of 50
Which type of statement has the form " if A, then B"?
Answer: Conditional statement
Step-by-step explanation:
In discrete mathematics, a conditional statement denoted by "if R then S " is an if-then statement where R represents a hypothesis and S represents a conclusion.
For example : If a number is divisible by 6 ,then it must be divisible by 2 ."
Here, Hypothesis R: " number is divisible by 6"
Conclusion S: "it must be divisible by 2"
Hence, an conditional statement has the form " if A, then B" .
Which of the following is the linear parent function
Answer: The answer is C.
A Linear parent function is a function of the form f(x) = x
or y = x. This is the simplest of the linear functions, where the slope is 1 and the function pases for the point (0,0) (which is the same of saying that the intercept is 0).
a) isnt a linear function.
b) is a quadratic function.
d) is also a linear function, but it has a slope = 2, so it isn't the linear parent function.
Which is a property of an angle?
has two sides that each extend forever in both directions
has two endpoints
has two center points
has two rays that share a common endpoint
Answer:
has two rays that share a common endpoint
Step-by-step explanation:
An angle is formed by a two rays that share a common endpoint. The distance between the two rays is what makes the measure of the angle wider or smaller. Each ray extends in one direction forever; however since they share an endpoint, the rays do not extend in both directions forever. There is only one endpoint, not two, and there is only one center point (vertex), not two.