Answer:
A) 3x + 2y = 12
B) 6x + 3y = 21
We multiply A) by -2
A) -6x -4y = -24 then we add B)
B) 6x + 3y = 21
-y = -3
y = 3
Since y = 3 then
x = 2
Step-by-step explanation:
Answer:
( −2)⋅( 3x +2y )= (−2)(12)(-2)⋅(3x+2y)= (-2)(12)
6x+3y=21
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of x opposite.
Simplify ( -2) ⋅(3x+2y)(-2)⋅(3x+2y)
Apply the distributive property.
−2(3x) − 2 (2y)=(−2) (12)
6x+3y=21
Multiply 3 by -2.
−6x − 2(2y)= (2)(12)
6x+3y=21
Multiply 2 by -2
−6x −4y = (−2)(12)
6x+3y=21
Multiply -2 by 12
−6x−4 y=−24
X 6x+3 y=21
-y = -3
Multiply each term in -y = -3 by -1.
(-y) ⋅ -1 = (-3) ⋅ -1
Multiply -1 by -1
1y = (-3) ⋅ -1
Multiply y by 1
y= (-3) ⋅ - 1
Multiply -3 by -1
y= 3
Substitute the value found for y into one of the original equations, then solve for x.
−6x −4⋅3=−24
Multiply −4 by 3.
−6x−12=−24
Move all terms not containing x to the right side of the equation.
Add 12 to both sides of the equation.
−6x = −24+12
Add −24 and 12.
−6x=−12
Divide each term by −6 and simplify.
Divide each term in −6x = −12 by −6.
-6x = -12
-6 = -6
Cancel the common factor of −6.
Divide x by 1.
−12
x= -6
Divide −12 by −6.
x=2
The solution to the independent system of equations can be represented as a point.
(2,3)
Equation Form:
x=2, y=3
Plz plz help me plz plz plzplzplzplz
Answer: C
Step-by-step explanation: its C
Which statements about this figure are true? Select all
that apply
It is a triangular pyramid.
It is a rectangular pyramid.
It is a triangular prism.
It has 5 vertices.
It has 5 edges
It has 5 faces
Answer:
b , d, f
Step-by-step explanation:
on edge
The statements that are true about the considered figure (given below) are given by: Option C: It is a triangular prism, Option F: It has 5 faces
What is a triangular pyramid?Take a traingle. This is a base. Now take 3 triangles such that each of them are connected to one-one side of the first traingle and when they're taken together, they form a closed object, called as a triangular pyramid
What is a rectangular pyramid?Take a rectangle. This is the base. Now take 4 triangles such that each of them are connected to one-one side of the base rectangle and when they're taken together, they form a closed object. That shape is called rectangular pyramid.
What is a triangular prism?Connect three rectangles edge to edge. Now close their triangular mouths from both ends. That shape is called a triangular prism.
What are vertices, faces and edges?Faces are planar mathematical objects. Like a triangle, a rectangle etc. Edges are those line segments, which are on the edge of the faces (of some object considered).
Vertices are points of intersections of different edges.
The missing figure is attached below.
It consists of 3 rectangles joined edge to edge, and have two triangular ends in the shape they form, thus, making a triangular prism.
There are 6 vertices of a triangular prism, here for this figure, they're named as A,B,C,D,E,FThere are 9 edges of that object AB, AC, AE, BF, BC, CD, ED, FD, EFThere are 5 faces (2 triangles and 3 rectangles). ABC, DEF, ACDE, BFEA, BCFDThus, the statements that are true about the considered figure (given below) are given by: Option C: It is a triangular prism, Option F: It has 5 faces
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Write the general solution to y = arcsin 0
Answer:
y=+/- π k
Step-by-step explanation:
The general solution of the given function is [tex]y=0[/tex]
Inverse trigonometric function:Inverse trigonometric functions are simply defined as the inverse functions of the basic trigonometric functions which are sine, cosine, tangent, cotangent, secant, and cosecant functions.
Given function is,
[tex]y=sin^{-1}(0) \\\\y=0[/tex]
The general solution of the given function is [tex]y=0[/tex]
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help wanted pls math
Answer:
39 ft²
Step-by-step explanation:
Area of a triangle = 1/2bh
Let:
base = b = 4 ft
height = h = 3 ft
Solve for the area of the triangle:
A = 1/2(4)(3)
A = 2 * 3
A = 6 ft²
Area of a rectangle = bh
Let:
base = b = 9 ft
height = h = 5 ft
Solve for the area of the rectangle:
A = (9)(5)
A = 9 * 5
A = 45 ft²
Subtract the area of the triangle from the area of the rectangle:
45 - 6 = 39 ft²
39 ft² is your answer.
~
Answer:
39 ft²
Step-by-step explanation:
Shaded area = rectangle - triangle
(5 × 9) - (½ × 3 × 4)
45 - 6
39 ft²
Solve each of the quadratic equations.
0 = 5.
3x = 0.522
o x = -6 or x = 0
0 x= -4 or x = 3
o x= -2 or x = 1.5
O x = 0 or x = 6
DONEC
DON
Answer:
1.
3x = 0.5x2
x = -6 or x = 0
x = -4 or x = 3
x = -2 or x = 1.5
x = 0 or x = 6
2.
0 = 5x2 - 2x + 6
D. & C.
A polar bear migrates north during winter to hunt for its food on sea ice. The daily
average temperature decreases 3°C for every 100 km traveled. At the start of the bear's
journey, the temperature is 2°C. What is the temperature after 200 km of its journey?
Answer:
-4 degrees
Step-by-step explanation:
Starting at 2 degrees, you need to subract 6 since 200 km= 6 degrees and it decreases.
The temperature after 200 km of the polar bear's journey is -4° C.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The daily average temperature decreases 3°C for every 100 km traveled
At the start of the bear's journey, the temperature is 2°C
The total distance traveled by the polar bear = 200 km
For 200 km, [tex](3+3)[/tex] totally 6° C should get decreased.
⇒ [tex](2-6)[/tex]
⇒ [tex]-4[/tex]
Hence we can conclude that the temperature after 200 km of the polar bear's journey is -4° C.
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Please help me with these coordinates! ;) ❤️
Answer:
(7,3)
Step-by-step explanation:
Given,7 units away from x axis and 3 units away from y axis,
Coordinates are written in (x,y) form
(x,y)=(7,3)(Given)
Answer:
A
Step-by-step explanation:
7 units away from the origin in the direction of the x-axis
So it can be (7, ?) or (-7, ?)
3 units away in the direction of the y-axis
So it can be (7, 3) or (-7, -3) or other things
Remember: (X, Y)
A is (7,3) which is a possible based on this
B would not work based on this
C would not work either
D wouldn't too
Translate the sentence and solve: "4 is 2 less than double a number".
x = -2
x= 2
х=-3
x= 3
Answer: x = 3
Step-by-step explanation:
you would double each number meamong multiply by 2 until you get the opposite of 4 being 2 less of a number so 6.
3 x 2 = 6
and 2 less than 6 is 4 so theres your answer :)
Which function is graphed below?
Answer:
f(x)=cos(x)
The amplitude is equal to 1. The period is 2π.
Helps the first 2 questions
Answer:
The first one is 5m - 4y.
The second one is 3x - 4y.
Step-by-step explanation:
of
6. Which set of three numbers can be used
to make a right triangle?
A 39, 41, 45
B 39, 49, 59
C 39, 69, 99
D 39, 80, 89
Answer:
The set (39, 80, 89) can be used to make a right triangle. Thus, option D is correct.
Explanation:
We know that right-angle triangles obey the Pythagoras theorem, i.e.,
a² + b² = c²
Let's check for each set:
(39, 41, 45): 39² + 41² ≠ 45²
(39, 49, 59): 39² + 49² ≠ 59²
(39, 69, 99): 39² + 69² ≠ 99²
(39, 80, 89): 39² + 80² = 89²
What is the slope for the line PERPENDICULAR to the line shown in the graph?
A) -3
B) -1/3
C) 3
D) 1/3
Find the distance between points A(5, 4) and B(2, 0)
Answer:
The distance between point A and point B is 5 units
g(x) = 4x+1
What is g(3)?
Answer
13
Step-by-step explanation:
4(3)+1
12+1=13
Please help! Will mark Brainliets (when it will let me, but answer has to be right!) (I have 3-4 other questions that need to be answered, if possible please answer them) Stay Safe!
Answer:
It is A
Step-by-step explanation: It's the same as finding the area of a cube but you have to divide by 2
Answer:
300
Step-by-step explanation:
To find the volume of a prism (it doesn't matter if it is rectangular or triangular) we multiply the area of the base, called the base area B, by the height h. 6x10=60 which is the base times the height 5 and you get 300.
Hope this helps!
Twenty eight slips of paper are numbered 1 through 28 and are distributed among a group of people. A random number generator is used to select a single number between 1 and 28, inclusively
A fair decision is made using this process
How many people could be in this group?
A. 3
B. 6
C. 7
D. 12
Answer:
Option D, 7, is the right answer.
Step-by-step explanation:
It is given that 28 slips of papers are numbered through 1 to 28.
Accordingly, there are 28 numbers.
For a fair decision, the number of slips with each one must be the same.
Therefore, the decision will only be fair if the number of people in the group is a factor of 28.
The factors of 28 are - 1, 2, 4, 7, 14 and 28.
In this way, 7 is the only factor of 28 among the given options.
Hence, the answer will be 7.
Which of the following is(are) the solution(s) to 4 |x+3|>8
Answer:
x>-1 or x<-5
Step-by-step explanation:
4 |x+3|>8
Divide each side by 4
4/4 |x+3|>8/4
|x+3|>2
Absolute value inequalities have 2 solutions, one positive and one negative
Remember to flip the inequality when finding the negative solution
x+3 >2 or x+3 <-2
Subtract 3 from each side
x+3-3>2-3 or x+3-3 <-2-3
x>-1 or x<-5
Super easy geometry please help
Here Is a trick my dad taught me for this geometry, every time I did geometry I would've gotten mad about it so we made a trick
M-ultiply
A-nd
D-ivide
Hope this trick helps you!
Answer the question simplify no work needed
1st page : 16 , 32 , 7
2nd page : (Going down) 8 , 4 , 2 , 15 , 3 , 35 , 12 , 1 , 105 , 25 , 21 , 90
Plz correct me if I'm wrong
PLEASE HELP I NEED ANSWER!!
Answer:
49 pie or 153.9
Step-by-step explanation:
A=pie r^2
A=pie×49
A=49 pie
An investing group has $50,000 to invest. They put the money in an account that has an annual interest rate of 6%, compounded monthly. How much money will the group have at the end of 10 years?
The investing group will have $90970 at the end of 10 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We can use the formula for compound interest to solve this problem:
[tex]A = P(1 + r/n)^(^n^t^)[/tex]
where A is the total amount,
P is the principal
r is the annual interest rate,
n is the number of times the interest is compounded per year, and
t is the number of years.
P = $50,000, r = 0.06, n = 12 and t = 10.
Substituting these values into the formula, we get:
A = 50000(1 + 0.06/12)¹²⁰
A = 50000(1.005)¹²⁰
A=$90970
Therefore, the investing group will have $90970 at the end of 10 years.
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Write the first six terms of the sequence.
ao = -5, An = 3an-1 + 12
Answer:
The first six terms of the sequence are -3, 3, 21, 74, 234 and 714
Step-by-step explanation:
Given the initial value a0 = -5 and the general form of the sequence given as An = 3an-1 + 12
To get the first six terms of the sequence, we will substitute for n=1 up to n= 6 in the general equation.
when n=1
A1 = 3a(1-1)+12
A1 = 3a0+12
A1 = 3(-5)+12
A1 = -15+12
A1 = -3
when n=2;
[tex]A2 = 3a(2-1)+12\\A2 = 3a1+12\\A2 = 3(-3)+12\\A2= -9+12\\A2= 3\\\\A3= 3a(3-1)+12\\A3= 3a2+12\\A3 = 3(3)+12\\A3= 9+12\\A3= 21\\\\A4= 3a(4-1)+12\\A4 = 3a3+12\\A4= 3(21)+12\\A4= 63+12\\A4 = 74\\\\A5= 3a(5-1)+12\\A5 = 3a4+12\\A5= 3(74)+12\\A5= 222+12\\A5 = 234\\\\\\A6= 3a(6-1)+12\\A6 = 3a5+12\\A6= 3(234)+12\\A6= 702+12\\A6 = 714\\[/tex]
The first six terms of the sequence are -3, 3, 21, 74, 234 and 714
solve the following system x=3 y=3x-1
Answer:
x = 3
y = 8
Step-by-step explanation:
Since it gives you x, you need to plug in the number given for it into the equation:
y = 3x - 1
y = 3(3) - 1
y = 9 - 1
y = 8
So now you have, x = 3 and y = 8
Damian likes to shoot baskets. He took 50 shots a day to keep track of how many he made for 10 days. Here are the number of shots made:
22, 25, 27, 37, 32, 19, 25, 45, 32, 33.
What is the RANGE of made shots?
Oa 26
Ob 45
Oc 32
Od 19
Answer:
a because that seems the most accurate
Step-by-step explanation:
Which statement must be true according to the box plot? The data is symmetric, and the lowest number of crackers in a package was 7. The data is symmetric, and the lowest number of crackers in a package was 8. The data is skewed, and the lowest number of crackers in a package was 7. The data is skewed, and the lowest number of crackers in a package was 8.
Answer:
C
Step-by-step explanation:
The data is skewed, and the lowest number of crackers in a package was 7
Answer:
they are correct the answer is C
Step-by-step explanation:
Which of the following is the measure of XBA if ray BA bisects XBY which measures 70 degrees
Answer: The correct answer is C.35.
Step-by-step explanation:
70÷2=35
The value of the measure of XBA is,
⇒ 35 degree
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;
Here, ray BA bisects XBY which measures 70 degrees
Hence, The value of the measure of XBA is half of the measure of XBY.
So, We get;
the measure of XBA is,
⇒ 70 / 2
⇒ 35 degree
Thus, The value of the measure of XBA is,
⇒ 35 degree
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Tim had $150 to spend on 3 pairs of pants. After buying
them, he had $30 left over. What equation expresses how
much each pair of pants cost?
A.30x/3 = 150
B.3x - 30 = 150
C.3x = 180
D.3x + 30 = 150
Simplify the expression: 3x2(x2 - 4x - 2) + (5x3 + 7x2 + 2x + 11)
Show and explain your steps. PLEASE!!!
Answer:
[tex]3x^4-7x^3+x^2+2x+11[/tex]
Step-by-step explanation:
[tex]3x^2(x^2 - 4x - 2) + (5x^3 + 7x^2 + 2x + 11)[/tex]
First, I will expand the expression [tex]3x^2(x^2 - 4x - 2)[/tex]
[tex]3x^2(x^2 - 4x - 2) \\3x^4-12x^3-6x^2[/tex]
So, we got
[tex]3x^4-12x^3-6x^2+ 5x^3 + 7x^2 + 2x + 11[/tex]
Adding similar elements, we get:
[tex]3x^4-7x^3+x^2+2x+11[/tex]
GIVING AWAY BRAINLIEST
In a rectangle ABCD the diagonals intersect each other at point O, E is a midpoint of the side AB , and m∠BAC = 50°. Find the measure of angle EOD.
Answer:
130°
Step-by-step explanation:
In the picture attached, the rectangle can be seen.
We know that m∠BAC = 50°, then m∠ADB is also 50°. m∠AOE must be 180° - 90° - 50° = 40°, and m∠OAD = 90° - 50° = 40°, then m∠DOA = 180° - 40° - 50° = 90°. Finally m∠EOD = m∠DOA + m∠AOE = 90° + 40° = 130°
Answer:
140 degrees
Step-by-step explanation:
What is the product? 12x/2y • 3y^2/24x^3
Answer: [tex]\frac{3}{4} x^4y^3[/tex]