Answer:
Substitution
Substitution
Elimination
Elimination
Substitution
Elimination
Explanations are given below
Step-by-step explanation:
Hello!
1) SubstitutionThis is because you already have a solution for a variable, y, and you can simply plug in the value of y for the second equation
2) SubstitutionThe same thing as above, you already have the value of y, and you can simply plug it into the second equation.
3) EliminationYou should use elimination because you can simply eliminate the variable y by adding the two equations, as they have the same coefficient of 3.
4) EliminationSame as above, simply add the two equations to eliminate x, because they have the same coefficients of 7.
5) SubstitutionYou have the value for y, so simply plug it into the other equation to solve for x.
6) EliminationYou have -2x in both equations, and subtracting the equations will eliminate the variable x, and you can then solve for y.
Question
Find the surface area of the regular pyramid.
Answer:
Surface area:The sum of all the sides to a figure.Given that the area of the base is 440.4, all we would need to find out is the sum of all the areas of the triangles surrounding it.
Formula for area of a triangle:
A = BH x 1/2
Where 'B' represents the base, 'H' stands for the height, and 1/2 simply means to divide the product of those two lengths(base and height) by 2.
Plug in what we know:-
A = BH x 1/2
A = 16(20) x 1/2
A = 320 x 1/2
A = 320/2
A = 160 mm is the area of one triangle, but we want to know the area of all 5 triangles, so;
160(5)
= 800 mm is the area of all the triangles.
Now add the base area to the area of all the triangles.
440.4 + 800
= 1,240.4 mm.
Therefore the surface area of this pyramid is 1,240.4 mm.
Answer:
1240.4 mm²
Step-by-step explanation:
The surface area of a pyramid = Area of the all sides + Area of base
Each side is a triangle.
With a regular pentagonal pyramid, the area of each triangle is
A = 1/2 x base x slant height
For the 5 triangles,
A = 5 x 1/2 x base x slant height = 1/2 x 5 x slant height
Substitute values,
A = 5 x 1/2 x 16mm x 20mm = 800 mm²
Area of base = 440.4 mm²
Surface area of a pyramid = 800 + 440.4 mm² = 1240.4 mm²
Consider the line 2x+6y= -4. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?
Answer:
the slope of the line perpendicular to that line is 6/2
Step-by-step explanation:
Find the slope of the original equation by putting it into y=mx + b form
2x+6y=-4 Given
2x-(2x)+6y=-4-(2x) Subtract 2x from both sides
6y= -2x -4 Simplify
6y/6= -2x/6 -4/6 Divide both sides by 6
y= -2/6 x - 4/6 Simplify
*perpendicular slopes are opposite reciprocals*
-2/6 = slope
2/6 is the opposite of -2/6
6/2 is reciprocal of 2/6
What is the value of x in the diagram?
Answer:
C. 20(degree symbol)
Step-by-step explanation:
lol I couldn't find the degree symbol so I just did that
hope this helps :)
How many millimeters are in 5 centimeters?
5 mm
50 mm
500 mm
5,000 mm
Answer:
50 mm
Step-by-step explanation: i did the test and i got it right
Answer:
50 millimeters are in 5 centimeters. You have to multiply the value by 10 to get your answer when converting centimeters to millimeters.
__________________________________________________________
Questions related to this topic? Ask me in the comments box.
this is a k 12 question
What is the length of segment NS?
1 unit
2 units
4 units
6 units
Answer: 4 units
Step-by-step explanation:
Answer:
c. 4 units
Step-by-step explanation:
The interior angles formed by the sides of a quadrilateral have
measures that sum to 360°
What is the value of x?
Enter your answer in the box.
|(2x + 3) (2x + 3)
X =
Answer:
2x3=6.
so I think it is either 6 or 12
2x3=6
Answer:
it's 59 I hope this helps
Can you help me with this?
Answer:
(2,-3) and (49/29, -108/29)
Step-by-step explanation: Assuming this is an exam and time is limited, first you gotta sketch the circle for clarity. Using the standard circle equation
(x-a)^2 + (y-b)^2 = r^2
(x-1)^2 + (y+3)^2 =1
You can always expand to verify it gives x^2 + y^2 - 2x + 6y + 9=0
Now you know (a,b) which is also the center of the circle being= (1,-3) and the radius(r) = 1
Your first assumption here even without drawing the circle is that it has to be in the fourth quadrant meaning all values of x for any point of intersection on that circle has to be +ve. Looking at your answer choices only c with is (2,-3) and (49/29, -108/29) fulfills this hence it is your answer.
Also you have to realize point (2,-3) on the straight line has same y coordinates with center of this circle.
The table below shows the number of people in a spinning class each day last week.
What is the mean number of people in a class?
Based on the information provided, the mean number of people in a class is 21 people.
How to calculate the mean number of people?To calculate the mean number, the general formula is the total of people in the class/ number of classes.
Then, let's find the total of people in classes by adding the number of people that are in class every day:
13+23+24+31+14 = 105 people in total
Number of classes: 5 classes or 5 days
The mean number of people in a class: Divide the total of people by the number of classes
105 / 5 = 21 people per class in average
Learn more about the mean in https://brainly.com/question/31101410
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Tell whether the triangle with the given side lengths is a right triangle
14mm, 19mm, 23mm
Answer:
not a right triangle
Step-by-step explanation:
The side lengths of a right triangle will satisfy the relation given by the Pythagorean theorem:
c² = a² +b²
23² = 14² +19²
529 = 196 +361
529 = 557 . . . . . . . . not true; not a right triangle
__
The longest side (23 mm) is too short for a right triangle, so the angle opposite will be smaller than 90°. This is an acute triangle.
_____
If you're doing a bunch of these comparisons, use of a triangle solver app or spreadsheet can help.
the original price of an Audio Jukebox was $260 it is on sale for $240. what
percent discount does this represent?
Step-by-step explanation:
Roughly 8%
The exact answer is 7.6923076923
Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm with angle measures of 55°, 60°, and 65°. Which of the following is a possible way to classify the triangle by side and angle measurements?
A. Obtuse and isosceles
B. Acute and scalene
C. Obtuse and equilateral
D. Acute and equilateral
Answer:
Acute and Scalene
Step-by-step explanation:
The measurments of the triangle are all almost equal and all the angles are less than 90 degrees, so all of them are acute angles. The scalene triangle has almost all equal sides.
The possible way to classify the triangle by side and angle measurements is,
⇒ Acute and scalene.
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
We have to given that;
Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm with angle measures of 55°, 60°, and 65°.
Since, All the angles are less than 90 degree.
Hence, It shows the Acute angle.
Here, Terrance draws a triangle with sides of 10 cm, 11 cm, and 12 cm.
Clearly, All the sides of triangle are not same in length.
Thus, It shows scalene.
Thus, The possible way to classify the triangle by side and angle measurements is,
⇒ Acute and scalene.
Learn more about the angle visit:;
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PLEASE I NEED HELP. WILL MARK BRAINLEST
NO ANSWER IN FILES PLEASE
There are 9 balls numbered 1 through 9 placed in a bucket. What is the probability of reaching into the bucket and randomly drawing four balls numbered 6, 9, 8, and 7 without replacement, in that order? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Using the permutation formula, as the order is important, it is found that there is a 0.000331 probability of selecting the balls in the desired order.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 4 balls will be taken from a set of 9, hence the total number of outcomes is:
[tex]P_{9,4} = \frac{9!}{5!} = 3024[/tex]
The desired outcome is only one, hence the probability is given by:
p = 1/3024 = 0.000331.
There is a 0.000331 probability of selecting the balls in the desired order.
More can be learned about the permutation formula at https://brainly.com/question/25925367
What is the volume of the following rectangular prism?
Volume =____ units^3
Step-by-step explanation:
green = surface area
5/2 × 27/5 = 13.5 unit³
an eqaution is shown 6x-3=3x+12 solve for x
Answer:
x=5
Step-by-step explanation:
6x-3=3x+12. Subtract 3x from both sides.
3x-3+12. Add 3 to both sides.
3x=15. Divide 3 from both sides.
x=5
PLEASE HELP PLEASE PLEASE HELP
Answer:
Angle A.
Step-by-step explanation:
A angle is the greatest measure because it is the widest. The wider the angle the more the angle is.
Why isn’t there any answer to this I need this or I have to do my grade over again and I don’t want to do that so please give me an answer for this
Answer:
see below
Step-by-step explanation:
When a = -1 and b = -2 U = a-b
-1 - -2 = 1 U =1
when a = -4 and b = 1 V = a-b = - 4 - 1 =-5 V = -5
Complete the first 4 steps for graphing the quadratic function given. (Use ^ on the keyboard to indicate an exponent.) Then graph the quadratic function. Be sure to label the axes and vertex.
y = -x^2 - 4x - 3
( Thanks in advance!! )
The quadratic equation y = -x^2 - 4x - 3 has a degree of 2
The vertex of the function is (-2,1)
How to graph the function?The equation of the function is:
y = -x^2 - 4x - 3
Differentiate
y' = -2x - 4
Set to 0
-2x - 4 = 0
Solve for x
x = -2
Substitute -2 for x in y = -x^2 - 4x - 3
y = -(2)^2 - 4(-2) - 3
y = 1
The above means that the vertex of the function is (-2,1)
See attachment for the graph of the function
Read more about quadratic functions at:
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Urgent please help!!!!
Answer:
18 or D
Step-by-step explanation:
12/x = 2/3
so (12 × 3)/2 = answer
answer: 18
((-6) + 7 - 3) x 2 divided by 4. Order of operations? I think the answer is -1.
Answer:
-1
Step-by-step explanation:
The order of operation (PEMDAS) states that:
P - ParenthesisE - ExponentsM - MultiplicationD - DivisionA - AdditionS - SubtractionGiven expression:
[{(-6) + 7 - 3} x 2] ÷ 4We can see that "-6" is the integer that is inside the parenthesis "( )". Therefore, we can open the parenthesis "( )".
⇒ [{-6 + 7 - 3} x 2] ÷ 4Simplify the expression inside the curvy brackets "{ }" using PEMDAS.
⇒ [{1 - 3} x 2] ÷ 4 [PEMDAS]⇒ [{-2} x 2] ÷ 4 [PEMDAS]Now we can open the curvy brackets "{ }".
⇒ [-2 x 2] ÷ 4Simplify the expression inside the long brackets "[ ]" using PEMDAS.
⇒ [-4] ÷ 4Finally, open the long brackets "[ ]" and simplify the expression obtained.
⇒ -4 ÷ 4 ⇒ -1Solve for x
A) 12
B) 13
C) 10
D) 11
Answer: A)12
Step-by-step explanation:
The line YZ must be half the size of the line QS, so double the length of YZ should be equivalent to the value of QS
2(x+2)=2x+4
Now we can set them equal to each other and solve for x
[tex]2x+4=3x-8\\2x+4+8=3x-8+8\\2x+12=3x\\2x-2x+12=3x-2x\\12=x[/tex]
what is the solution set for 2x2+15=-11x
Answer:
2x^2+11x+15=0
factor
2x^2+6x+5x+15=0
2x(x+3)+5(x+3)=0
(2x+5)(x+3)=0
x=-3 and x=-5/2
What is the range and domain!!
PLEASE HELP I WILL GIVE OUT MORE POINTS AND MARK BRAINIST ONLY IF YOU RIGHT I DO CHECK IT BUT PLEASE AND THANK YOU
Answer:
Domain: 0 ≤ x ≤ 50
Range: 0 ≤ y ≤ 100
Step-by-step explanation:
Information
Domain: set of all possible input values (x-values)
Range: set of all possible output values (y-values)
Closed circle: less than or equal to and greater than or equal to (≤ or ≥)
Open circle: less than or greater than (< or >)
Domain
From inspection of the diagram:
minimum value of x = 0maximum value of x = 50Closed circle at the beginning and end of the lineTherefore, the domain is: 0 ≤ x ≤ 50
Range
From inspection of the diagram:
minimum value of y = 0maximum value of y = 100Closed circle at the beginning and end of the lineTherefore, the range is: 0 ≤ y ≤ 100
could anyone help me with this?
Answer:
C
Step-by-step explanation:
What is the surface area?
Answer:
130 in^2.
Step-by-step explanation:
It has 8 faces
Surface area = 4*2 + 1*2 + 3*2 + 5*2 + 7*2 + 6*2 + 6*7-3 + 6*7-3
= 8+2+6+10+14+12+39+39
= 130 in^2.
which correctly gives the slope and y-intercept of the line represented by the equation below x-y=2
Answer:
y int = -2
slope = 1
Step-by-step explanation:
x-y=2
-y=-x+2
y=x-2
y int = -2
slope = 1
Answer:
Slope = 1
Y-intercept = -2
Step-by-step explanation:
First, we will put it into slope-intercept form.
x - y = 2
x = y + 2
y = x - 2
This gives us the slope of one and the y-intercept being -2.
Check attachments for more information on slope-intercept form as well as the line graphed.
What is the degree of the polynomials below
2x^7+4-3x^3+5x^8-4x
A box contains 20 lightbulbs, of which 5 are defective. If 4 lightbulbs are picked from the box randomly, the probability that at most 2 of them are defective is
Answer:
938/969
Step-by-step explanation:
Got it right on edmentum
x+6/x=-7 rational equation
x=-6.
x=-1.
Step-by-step explanation:
# Brainliest Bunch
Step-by-step explanation:
a man bought a second hand radio set for 180. he spend 45 for repair and sold it for 270 what was his profit percentage
What happens to a number when you multiply by 1000? Why does this happen?
Answer:
the number will get 1000 times larger than its original number or 3 zeroes will be added in the last place of the number
Step-by-step explanation:
let's say x=5,
if we multiply 5 by 1000 it becomes 5000 (it is 1000 times more or larger than its orignal number and 3 zeroes are added in 5000).