Answer:
Step-by-step explanation:
(x^4 + 2x^3 - 7x - 9) +
(x^5 - 2x^4 + 8x + 18)
x^5 - x^4 + 2x^3 + x + 9
Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T. Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l? Lines m and n intersect at point Q. A circle is drawn around point Q and forms point S on line m and forms point N on line l. Point P is also on line m. A circle is drawn around point P and forms point T on line m. Use the compass to construct a circle centered at Q through point P. Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P. Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q. Use the compass to construct a circle centered at P through point Q.
Answer:
The answer is B on Edge
Step-by-step explanation:
Answer:( B)Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Step-by-step explanation:
dino has 14 coins and 2 one dollar bills which describes the relationships between the coins and the dollar bills
Answer:
they are both money
Step-by-step explanation:
that's why they relate, they're both currency
Answer:
B
Step-by-step explanation:
I took the quiz
11. The x-intercept of the line 2x + 3y – 36 = 0 is:
Answer:
(18,0)
Step-by-step explanation:
2x + 3y – 36 = 0
The x intercept is when y = 0
Solve for x
2x + 3*0 – 36 = 0
2x +0 -36 = 0
2x -36 =0
Add 36 to each side
2x-36+36 = 36
2x = 36
Divide each side by 2
2x/2 = 36/2
x = 18
What is the problem with this statement?
If you taking geometry, then you are in the 9th grade
A. It does not assume that all students take geometry
B. It does not assume that all students are in the 9th grade
C. It assumes that no students taking geometry are in the 9th grade
D. It assumes that all students taking geometry are in the 9th grade
Please I need help with this
Answer:
D. It assumes that all students taking geometry are in the 9th grade
Step-by-step explanation:
The value of x in 5(8+x)=20
Answer:
x = -4
Step-by-step explanation:
5(8+x)=20
Divide each side by 5
5/5(8+x)=20/5
8+x = 4
Subtract 8 from each side
8+x-8 = 4-8
x = -4
The right answer is -4.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
the image of the circle x2+y2-2x+3y=8 after being reflected by the line y=2x-3 is----------------.pls anyone
Answer:
The image of the circle is 9·x² + 9·y² - 42·x + 33·y = 22
Step-by-step explanation:
We convert the equation to the form (x - h)² + (y - k)² = r²
Where:
(h, k) = Coordinates of the center of the circle
We therefore have;
x² + y² - 2·x + 3·y = 8 which gives;
x² - 2·x + 1 - 1 + y² + 3·y + (3/2)² - (3/2)² = 8
(x - 1)² + (y + 3/2)² - 1 - (3/2)² = 8
(x - 1)² + (y + 3/2)² = 8 + 1 + (3/2)² = 45/4
Therefore, the center = (1, -3/2) and the radius = √5 × 3/2
The line joining the centers of the actual (1, -3/2) and reflected circle (h, k) is bisected by the line of reflection, therefore the midpoint of the line is on the line of reflection with coordinates;
Midpoint between (1, -3/2) and (h, k) = [tex]\left (\dfrac{{h - 1}}{2}, \, \dfrac{k - 3/2}{2} \right )[/tex]
Which gives;
y = 2·x - 3 being equivalent to [tex]\dfrac{k - 3/2}{2} = 2\times\dfrac{{h - 1}}{2} - 3[/tex]
Which gives;
4·h -2·k -13 = 0.......(1)
Similarly the slope of the reflecting line is perpendicular to the line joining the centers of the actual and reflected circles
Therefore;
The slope of the line, y = 2·x - 3 = 2, hence we have;
[tex]\dfrac{\left ( \dfrac{k - 3/2}{2} \right ) + 3/2}{\left (\dfrac{{h - 1}}{2}-1 \right )} = \dfrac{1}{2}[/tex]
Which gives;
2·h -4·k -12 = 0.......(2)
Multiplying equation (2) and subtracting from equation (1) gives
4·h -2·k -13 - 2×(2·h -4·k -12) = 0
6·k + 11 = 0
k = -11/6
From which we have;
2·h -4×(-11/6) -12 = 0
Hence;
h = 7/3
Therefore, the center of the reflected circle = (7/3, -11/6)
The equation of the reflected circle is therefore;
(x - 7/3)² + (y + 11/6)² = 45/4
Which gives;
9·x² + 9·y² - 42·x + 33·y - 22 = 0
or x² + y² - 42/9·x + 33/9·y = 22/9.
−7/8 −(−5/6) in simplest form
Answer:
-1/24
Step-by-step explanation:
-7/8 - (-5/6)
Subtracting a negative is like adding
-7/8 + 5/6
Get a common denominator
-7/8 * 6/6 + 5/6 *8/8
-42/48 + 40/46
-2/48
-1/24
The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates. Eight of the candidates are members of the debate team.
(a) What is the probability that all of the offices are filled by members of the debate team?
(b) What is the probability that none of the offices are filled by members of the debate team?
Answer:
The probability that all of the offices are filled by members of the debate team is 0.0512 and the probability that none of the offices are filled by members of the debate team is 0.0256
Step-by-step explanation:
The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates.
So, Number of candidates required = 4
Total number of candidates = 15
Number of candidates which are members of the debate team. = 8
So, Number of candidates which are not the members of the debate team = 15-8 =7
The probability that all of the offices are filled by members of the debate team = [tex]\frac{^8C_4}{^{15}C_4}=\frac{\frac{8!}{4!\left(8-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0512[/tex]
The probability that none of the offices are filled by members of the debate team=[tex]\frac{^7C_4}{^{15}C_4}=\frac{\frac{7!}{4!\left(7-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0256[/tex]
Hence The probability that all of the offices are filled by members of the debate team is 0.0512 and the probability that none of the offices are filled by members of the debate team is 0.0256
calculate 16% of £50
Which expression is equivalent to x^2-10x+24
Answer:
(x-4)(x-6)
Step-by-step explanation:
By factorization, x^2-10x+24 can be written in the form (x-4)(x-6). Thus the roots of the quadratic equation are x= 4 and 6 respectively.
95 points!
The scatter plot shows the relationship betweeen the number of hours students spend watching television and the numer of hours they spend with family each week.
What is the y-intercept of the line of best fit and what does it represent?
11.5 hours; the number of hours students spend with family in a week when they do not watch television
9.2 hours; the number of hours students watch television in a week when they do not spend time with family
9.2 hours; the number of hours students spend with family in a week when they do not watch television
11.5 hours; the number of hours students watch television in a week when they do not spend time with family
9.2 hours; the number of hours students watch television in a week when they do not spend time with family
Step-by-step explanation:
We are given,
The x-axis represents the time spent with family and the y-axis represents the time spent on watching television.
Now, y-intercept is the point where the scatter plot crosses y-axis.
From the scatter plot and and according to the options, the data point is located at x= 0 and y= 9.2.
That is, the y-intercept represents that students watched television for 9.2 hours when they do not spend time with their family.
What is the volume of the rectangular prism? one cube is 1/3
Pleaser answer fastt
Answer:
A
Step-by-step explanation:
15 boxes multiplied by 2 is 30, 1/3 times 30 is 10
What is the solution of 3square root x+8 = -4?
• x=-72
• x=-66
• x=58
• no solution
Answer:
No solution
Step-by-step explanation:
I'd suggest you try to solve this first: 3√(x + 8) = 4. First, square both sides; this results in 9(x + 8) = 16, or x + 72 = 16/9, or x = -632/9. We cannot let x = -632/9 in √(x + 8) because -632/9 is not in the domain of the square root function. No solution.
If we now write 3√(x + 8) = -4 (note the negative sign), similar efforts at solution result in 9(x + 8) = -4, or x + 8 = -4/9, or x = -8 - 4/9. If we now substitute this result for (x + 8) in 3√(x + 8) = -4 (above), we get 3√(-8 + 8 - 4/9), which has no solution; -4/9 is not in the domain of the square root function.
The solution for the given equation is 16.
The given equation is 3√x+8=-4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The solution for the given equation can be determined as follows:
Now, 3√x+8=-4
⇒ 3√x=-4-8
⇒ 3√x=-12
⇒ √x=-12/3
⇒ √x=-4
Squaring both the sides, we get
x=16
Therefore, the solution for the given equation is 16.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ6
I need help on #5 on my summer packet my teacher never taught me this and I need help.
Answer:
c
Step-by-step explanation:
it can only be 0-9 that is in standard form- one digit then a decimal point
can u pls mark as brainliest?
Answer:
c
Step-by-step explanation:
hope that helps
expand the following 3(5n + 6)
Answer:
15n+18
Step-by-step explanation:
you have to multiply both integers(5n + 6) from inside the bracket with the number outside the bracket *3*
equation working below
3×5n=15n
3×6=18
final answer:
15n+18
What are the next three numbers in this pattern?
11, 22, 12, 23,...
A 13, 24, 15
B 13, 24, 14
C 13, 23, 14
D 32, 43, 33
Answer:
B
Step-by-step explanation:
because first it is 11, 12, after it is 13, and 14
: for 22, 23 and after 24
Answer:
B
Step-by-step explanation:
What is the area of this triangle?
PLSSS I WILL GUVE YOU THE POINTS
Answer:
12
Step-by-step explanation:
Classify the triangle by its angles and by its sides.
Answer:
Acute and Scalene.
Step-by-step explanation:
By definition, an acute triangle is one that has three angles that are less than 90 degrees. This triangle falls under the category.
By definition, a scalene triangle is one that has three sides with different measurements. This triangle falls under the category.
Hope this helps!
The sum of 3c2d3 + (-5c2d3) + 10c2d3 is
Answer:
8c to the pwr of 2 d to the pwr of 3
Step-by-step explanation:
i think
Answer: To find the SUM of this expression, you end up with 8c^2*d^3. (Vote me brainliest please)
solve this proportion x/14 6/21
Answer:
X=4
Step-by-step explanation:
Solution: x equals 4
x/14-(6/21)=0
1. Simplify 2/7
x/14- 2/7 is 0
It’s too much steps
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) =
O A. g(x) = (x+4)2 - 3
O B. g(x) = (x - 42 - 3
O C. g(x) = (x – 4)2 + 3
O D. g(x) = (x+4)2 + 3
Answer:
A
Step-by-step explanation:
Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Given f(x) then the graph of f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here f(x) has been shifted 4 units left and 3 units down, thus
g(x) = (x + 4)² - 3 → A
4(2+a)=24 what is the answer
Given:
4(2 + a)= 24
Use Distributive Property:
8 + 4a = 24
Subtract 8 to both sides:
4a = 16
Divide 4 to both sides:
a = 4
Answer:
A = 4
Step-by-step explanation:
Assuming the question is asking what a is, then all you have to do is follow a few steps to get the right answer.
1) Use the distributive property to simplify the first part of the equation.
4(2+a) distribute the 4 to what is within the parenthesis, so multiply 4 to what is in the parenthesis. P.S: This also gets rid of the parenthesis.
(8 + 4a)
2) Now your equation looks like 8 + 4a = 24. Now, use inverse operations to isolate a. Inverse operations are basically using the opposite signs and processes to get some parts of an equation to another side.
2a. Subtract 8 from both sides of the equation:
8 + 4a - 8 = 24 - 8.
So now you have 4a = 16.
2b. Divide 4 from both sides of the equation.
4a/4 = 16/4
So now you have a = 4.
Final answer:
A = 4
4. Alistair has an infinite number of bags numbered 1, 2, 3, 4... Each bag
contains an infinite number of marbles numbered 1, 2, 3, 4... Is the set of
all marbles that Alistair possesses larger than the set of marbles he has in
just the first bag?
Answer:
No
Step-by-step explanation:
One infinity cannot be larger than another
Find the equation of the line passing through the point (1,−5) and perpendicular to
y= 1/8x +2
Answer:
y=-8x+13
Step-by-step explanation:
you flip the m value
then you plug in the point (1,-5) to find b (y-intercept)
then you get 13.
The equation of the line is y = -8x + 3 passing through the point (1,−5) and perpendicular to y= 1/8x +2.
What is slope of line?Slope of line is defined as the angle of line. It is denoted by m.
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Let the equation of line : y = mx + c
Given that, the line passing through the point (1,−5) and
The line perpendicular to y = 1/8x +2
To determine the slope of the perpendicular line,
If two lines are perpendicular to each other, the product of their slopes will be -1. Therefore, the slope (m) of the line that is perpendicular to the given line is
m×1/8 = -1
m = -8
Substitute the value of slope m in the first equation,
y = -8x + c
To determine the equation of the line, substitute the found slope (-8) and the point (1,−5) into the point-slope form of a linear equation:
5 = -8(1) + c
-5 = -8 + c
c = -5 + 8
c = 3
So, the required equation of line : y = -8x + 3
Hence, the equation of the line is y = -8x + 3 passing through the point (1,−5) and perpendicular to y= 1/8x +2.
Learn more about Slope of Line here:
brainly.com/question/14511992
#SPJ5
What is the solution to this equation?
2x + 3 = x − 4
Answer:
-7
Step-by-step explanation:
2x+3=x-4
Let's start by subtracting 3 from both sides
2x=x-7
Now, subtract x from both sides
x=-7
Let's plug it in to make sure!
2(-7) +3= (-7)-4
-11=-11
Answer:
x= -7
Step-by-step explanation:
You subtract both sides by x meaning the x on the right side will turn to zero and then you subtract both sides by 3
Simplify the ratio 9/12 by dividing both the numerator and denominator by the greatest common factor of 3
A) 1/4
B) 1/2
C) 3/4
D) 4/3
Answer:
Option C
Step-by-step explanation:
9/3=3
12/3=4
so, the answer is 3/4
Option C
Answer:
Think of it as 9 / 3 = 3
12 / 3 = 4
so it is 3/4. The ratio is equal because 3/3 = 1 so you are dividing by 1
Hope this helps
Step-by-step explanation:
Show and explain why 6 is not a solution to the inequality below.
2x - 9 ≥ 5
Answer:
x ≥ 7
Step-by-step explanation:
2x -9 ≥ 5
+9
x ≥ 14
14/2
=7
x ≥ 7
The graph of y= -2x + 10 is:
O A. a point that shows the y-intercept.
O'B. a point that shows one solution to the equation.
O c. a line that shows the set of all solutions to the equation.
O D. a line that shows only one solution to the equation.
SUBMIT
Helppp me plzzzz
Answer:
A. a point that shows the y-intercept
Step-by-step explanation:
The coordinate of point B is -6 and the coordinate of point E is 2.
Find the length of segment BE.
Answer:
4
Step-by-step explanation:
just because i just took it
A premier credit card has an initiation fee that provides you with the privilege to use it and a monthly fee after the first two months. The initiation fee is $62 and the monthly fee is $30 per month after the first two months. If C represents the cost and g represents the total number of months, which equation could represent this plan when you have this card for more than two months?
A. C = 30 + 62(g-2)
B. C = 30 + 62(2-g)
C. C = 62 + 30(g-2)
D. C = 62 + 30(2-g)
Answer:
The correct option is C.
Step-by-step explanation:
To have this credit card there is two fees, one that is fixed payed upfront and other that is payed after the second month. The fixed fee costs $62, and doesn't escalate with time, while the other one is $30 and starts to be charged after the second month. Therefore, the total cost of the card is the fixed fee plus the monthly fee multiplied by the number of months the user had the card subtracted by two, or as shown below:
[tex]C(g) = 62 + 30*(g-2)[/tex]
The correct option is C.
