Answer:
28x+8y+2
Step-by-step explanation:
Write out the equation first: -2 (3x+12y-5-17x-16y+4)
Simplify within parentheses : -2 (-14x-4y-1)
Multiply by -2: 28x+8y+2
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
x=56 degrees interior angle of regular hexagon is 60 degrees
Step-by-step explanation:
The sum of the angles in a hexagon is 720. So the size of an angle in a regular hexagon is 120 degrees.
angle BCA + angle x + angle DCE are equal to 180 degrees when added together.
We can use base angles theorem to find angle DCE : 180-32 = 148 148/2 = 74
Now we know that angle BCA + angle x = 180-74= 106 degrees. Since ABC is equilateral we alread know angle BCA is 60 degrees. Now we can find x from doing 106-60 which equals 56 degrees.
x=56
A store sells 3 categories of kitchen items: cups, bowls, and spoons. There are 5 types of cups, 4 types of bowls, and 2 types of spoons. How many different combinations can you buy in this store of: A set of a bowl, cup, and spoon
Find the amount in an account where $500 in invested at 2.5% compounded quarterly for a period of 10 years.
Answer: $641.51
Step-by-step explanation:
A = p (1+ r/n)^nt
A = 500 (1 + 0.025/4)^4*10
A = 641.51
The amount in an account where $500 in invested at 2.5% is $641.51.
Using this formula
A = p (1+ r/n)^nt
Where:
A=Amount
P= Principal=$500
R=Rate=2.5% or 0.025
n=4 (Quarterly)
T=Time=10 years
Let pug in the formula
A = $500(1 + 0.025/4)^4×10
A=$500(1.28302)
A =$641.51
Inconclusion the amount in an account where $500 in invested at 2.5% is $641.51.
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Find the value of x in each case. Give reasons to justify your solutions! e L, M ∈ KN
Answer:
X=36
Step-by-step explanation:
3x+72=180
3x=180-72
3x=108
x=36
Line l has a slope of...
Hey there! :)
Answer:
Option C.
Step-by-step explanation:
A perpendicular line to 2/3 will be the reciprocal and negative of this fraction. Therefore:
Slope of perpendicular line = -3/2.
Remember, the equation for solving for the slope is:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
We must find points that when plugged into this equation, equal to -3/2.
Plugging in the points in option A:
[tex]\frac{2}{3} \neq \frac{-3}{2}[/tex]
Option B:
[tex]\frac{3}{4} \neq \frac{-3}{2}[/tex]
Option C: This is the correct answer.
[tex]\frac{-3}{2} = \frac{-3}{2}[/tex]
Option D:
[tex]\frac{2}{10}\neq \frac{-3}{2}[/tex]
Find the volume of a pyramid with a square base, where the area of the base is
14.1 in' and the height of the pyramid is 11.1 in. Round your answer to the nearest
tenth of a cubic inch.
I think its 57.17 or about 52.2cubic inch
What is the explicit formula for this geometric sequence? 64, 16, 4, 1, ...
Answer:
C.
Step-by-step explanation:
Explicit Formula: an = a1(r)^(n-1)
Our r = 1/4 because to get 64 down to 16 you need to divide by 4 or multiply by 1/4
Our a1 is the 1st term of the sequence, which is 64.
Plug it in: an = 64(1/4)^(n-1)
So our only viable option is C.
Answer:
Option C
Step-by-step explanation:
=> [tex]a_{n} = a_{1} * r^{(n-1)[/tex]
Where a1 = 64, r = 1/4
So,
=> [tex]a_{n} = 64 * (\frac{1}{4}) ^{n-1}[/tex]
Triangle △ABC has an altitude CD . Which of the three points, A, B, D are between the other two if angles A and B are both acute?
D is point lies between A and B.
Triangle △ABC has an altitude CD.
angles A and B are both acute.
Altitude is perpendicular bisector to side of triangle from opposite vertex of triangle.
Since △ABC
A and B are acute angles, and that altitude CD has one vertex at c and other is between A and B i.e. D
Thus, the required point of Altitude CD D lies between A and B.
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Use the tables below to find (p - 9)(2).
Answer:
5
Step-by-step explanation:
p(2) - q(2)
3 - (-2)
3 + 2
= 5
a. 1620
b. 180
c. 38
d. 29
Answer:
V =1620 pi cm^2
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = pi ( 9)^2 * 20
V =1620 pi cm^2
How do you know if x is on the rhs or the lhs?
Answer:
Step-by-step explanation:
RHS means on the right hand side
And LHS means on the left hand side
So if x is one the right side of the expression ,it is on the RHS and if it is on the left side of the expression , it is on the LHS
Represent the number of feet in y yards, f feet
and i inches.
Answer: there a 3 feet to a yard a 36 inches to a yard( 12 inches to a foot) 1/3 of a yard is a foot hope this helps
Step-by-step explanation:
help will give brainliest
Answer:
Quadrant 2
Step-by-step explanation:
The answer is quadrant two because the answer is in the form of -x,y. When the x is negative and the y is positive, it is always going to be in quadrant 2. As you can see in the image below, quadrant 1 is going to be all positive, quadrant two is going to be negative then positive, quadrant three is going to be all negative, and quadrant 4 is going to be positive then negative. Use this as a guide for the rest of your question. I hope this helps!
What is the name of the geometric term that is described by three points that are not on the same line and has a flat surface that extends without end in all directions? A. point B. ray C. line D. plane
Answer:
D. plane
Step-by-step explanation:
A. is incorrect because three points don't make a point.
B. is incorrect because all points in a ray are colinear.
C. is incorrect because the three points are not colinear.
D. is correct because, for a given three different points, there is a plane that contains them.
Answer:
D
Step-by-step explanation:
Lynn and Lienne tossed a coin 40 times and got heads 24 times. What is the experimental probability of tossing heads using Lynn and Lienne's results?
1/2
3/5
1/40
None of the choices are correct.
Answer:
it would be 3/5
3x-2=16 pls help!!!!!!!
Answer:
x = 6
Step-by-step explanation:
3x - 2 = 16
3x = 16 + 2
3x = 18
x = 18/3
x = 6
Answer:
x=6
Step-by-step explanation:
3x-2=16
+2 +2
3x = 18
÷3 ÷3
x=6
Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8 3x + 3y = 0 7x − y = 8 3x + 3y = 0 −7x − y = 8 3x + 3y = 0 −7x + 7y = 8 3x + 3y = 0 −4x + 7y = 8
Answer:
A.
3x + 3y = 0
7x − y = 8
Step-by-step explanation:
Given
3x + 3y = 0
-4x + 4y = -8
Required
Find the equivalent
To solve for the equivalent we simply solve for x and y in the given equation.
Subtract 3x from both sides in 3x + 3y = 0
3x - 3x + 3y = 0 - 3x
3y = -3x
Multiply both sides by ⅓
⅓ * 3y = -3x * ⅓
y = -x
Substitute -x for y in -4x + 4y = -8
-4x + 4(-x) = -8
-4x -4x = -8
-8x = -8
Multiply both sides by -⅛
-⅛ * -8x = -⅛ * -8
x = 1
Recall that y = -x
y = -1
So, we have that x = 1 and y = -1
We'll substitute these values in the list of options;
A.
3x + 3y = 0
7x − y = 8
7(1) - -(1) = 8
7 + 1 = 8 ----- This is equivalent
B.
3x + 3y = 0
−7x − y = 8
-7(1) - (-1) = 8
-7 + 1 = 8
-6 ≠ 8 .... This is not an equivalent expression
C.
3x + 3y = 0
−7x + 7y = 8
-7(1) + 7(-1) = 8
-7 -7 = 8
-14 ≠ 8 .... This is also not an equivalent expression
D.
3x + 3y = 0
-4x + 7y = 8
-4(1) + 7(-1) = 8
-4 -7 = 8
-11 ≠ 8 -_- This is also not an equivalent expression
Answer:
A is the correct one
Step-by-step explanation:
Select the function that represents a parabola with vertex at (2,1) and y-intercept (0,3).
I think its ƒ(x) = 1∕2(x – 2)2 + 1
The function that represents a parabola with vertex at (2,1) and y-intercept (0,3) is f(x) = - x² + 4x - 3.
What is general equations of parabola?
The general equation of a parabola is given by
⇒ y = a(x – h)² + k
A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.
According to the question,
⇒ y = a(x – h)² + k
⇒ (h,k) = (2,1)
⇒ y = a(x – 2)² + 1
T find the value of a,
⇒ - 3 = 4a + 1
⇒ a =-1
⇒ y = -1(x – 2)² + 1
⇒ y = -(x² + 4 - 4x) + 1
⇒ y = -x² + 4x - 3
Hence the required function is y = -x² + 4x - 3.
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The value in the table represent a linear function. What is the common difference of the associated arithmetic sequence? A. 38 B. 1 C. 24 D. 19
Answer:
D). 19
Step-by-step explanation:
When you subtract
7 - 26 = 19
26 - 45 = 19
45 - 64 = 19
64 - 83 = 19
The common difference is 19
PLEASE HELP WILL MARK BRAINLIEST Simplify by removing parentheses and, if possible, combining like terms. 6m-2(-7m+3)
Answer:
20m-6
Step-by-step explanation:
[tex]6m-2(-7m+3)=\\6m+14m-6=\\20m-6[/tex]
Answer:
20m - 6
Step-by-step explanation:
6m - 2(-7m + 3)
Expand brackets.
6m + 14m - 6
Add like terms.
20m - 6
What is the distance between the points (4,9) and (14, -11)? Round to the
nearest tenth, if necessary.
Answer: 22.4
Step-by-step explanation:
The distance formula can be used to solve this problem.
[tex]D=\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1} )^2}[/tex]
We can plug in our x and y values to find the distance.
[tex]D=\sqrt{(14-4)^2+(-11-9)^2}[/tex]
[tex]D=\sqrt{10^2+(-20)^2}[/tex]
[tex]D=\sqrt{100+400}[/tex]
[tex]D=\sqrt{500}[/tex]
[tex]D=22.4[/tex]
Our distance between the points is 22.4.
A point located at (6, 4) is reflected over the x-axis. What are the coordinates of the image?
(6,4)
(-6,-4)
(-6,4)
(-4, 6)
Answer:
(6,-4)
Step-by-step explanation:
Reflecting over the x axis means flipping the point or line over it. Therefore the point's y value would the opposite from the beginning.
Answer:
(6, -4)Step-by-step explanation:
For any point reflected over the x-axis, the x-coordinate stays the same and the y-coordinate becomes negative.
6 stays the same
4 becomes -4.
I'm always happy to help :)What is the solution to the system of equations graphed below?
Answer: C. (1, 4)
Step-by-step explanation:
The point where the two lines meet or intersect is the solution to the system of equations graphed. And in this case, the lines intersect at (1, 4).
Please help with this
Answer:
5/2
Step-by-step explanation:
We take the ratio of a side of ABC over the same side on DEF
AB/ DE
35/14
Divide top and bottom by 7
5/2
Which of the following list of ordered pairs is a function?
Answer:
C
Step-by-step explanation:
A. (4, 0) and (4, 3) have the same x coordinate (Can't happen in a function).
B. (2, 5) and (2, 1) have the same x coordinate.
C. It passes the vertical line test on a graph and no x is repeated.
D. (2, 3) and (2, 5) share the same x coordinate.
Answer:
c is correct answer.
a function from set A (x coordinate) to set B (y coordinate) a special type of relation defined from set A to set B if every element of set A is mapped with unique element of set B.
Sara had a baby that weighed 8 pounds at birth. The following graph represents the
average growth in the weight of the baby during the first 6 months of life. Select the
correct statement.
20
Baby's Weight (lb.)
18
16
14
12
10
8
6
2
Time (mo.)
5
6
3
4
Answer:
need points sorry
Step-by-step explanation:
Answer:
The baby grows at an average of 1.5 pounds each month.
Step-by-step explanation:
I got this correct on my quiz.
One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there?
Answer:
Let humans be x and horses be y
Both have one head each,so x+y=74 (1)
Humans have 2 legs each and horses 4 legs each…… so 2x+4y=196 (2)
In first equation x+y=74 then y=74~x (3) ……… .By solving both equations we have as under… x+3y=122 x=122-3y (4)…. Now in equation 4 we put the value of y taken from equation 3 so it will be x=122~3(74-x)…. x=122-222+3x…………. bringing x on one side x-3x=122~222 therefore -2x=~100….. x=50… put the value of x in first equation… x+y=74… 50+y=74… y=74~50…..… y=24… Now it is concluded that Humans are 50 and Horses are 24.. Now you put the values of x & y in 1st and 2nd equation … you will get x+y=74.. 50+24=74………..2x+4y=196…2×50+4×24=196.. it is proved thru equation.
an = -2 + 3/2 (n-1)
What is the 21st term of the sequence?
Answer:
[tex]a_{n} = -83/40[/tex]
Step-by-step explanation:
Given
[tex]a_{n} = -2 + 3/2 (n-1)[/tex]
In this problem to find 21st term we put 21 in place of n in the equation
[tex]a_{n} = -2 + 3/2 (21-1) = \\a_{n} = -2 + 3/2 (20)\\a_{n} = -2 + 3/40 = (-2*40 +3)/40 \\a_{n} = -83/40\\[/tex]
Thus, 21st term is -83/40.
HELPPPPP NEEDED FIRST GETS BRAINLLEST !!!! Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more than Amari, and DJ collected $15.60 less than Kobe. If x = the amount raised by Amari, choose the expressions that represent the amount each other player raised. x + 24.55 x + 8.95 2x – 15.60 3x + 24.55
Answer:
Kobe raised x + 24.55
Amari raised x
DJ raised 2x – 15.60
Which statements could he include in his explanation?
Select two options.
Keshawn is asked to compare and contrast the domain
and range for the two functions.
f(x) = 5x
g(x) = 5
The domain of both functions is all real numbers.
The domain of f(x) is x>5.
The domain of g(x) is x > 5.
The range of f(x) is y> 0.
The range of g(x) is y>0.
Answer:
Option 1: Domain of both functions are all real numbers.
Step-by-step explanation:
f(x) = 5x
Domain: All Real Numbers
Range: All Real Numbers
g(x) = 5
Domain: All Real Numbers
Range: y > 5
Answer: Option 1
Step-by-step explanation:
f(x) = 5x
Domain: All Real Numbers
Range: All Real Numbers
g(x) = 5
Domain: All Real Numbers
Range: y > 5