Answers
Answer:
k=4
Step-by-step explanation:
Given
A line x=7
The line has only y-intercept which means that it is a vertical line.
As the two points are
A(10,2) and B(k,2)
The y-intercepts of both the points are same i.e. y=2 which means that the line fomed by joining A and B is a horizontal line.
As x=7 is a vertical line and bisects the horizontal line, the mid-point of line AB will be the point where first line (x=7) bisects the second which is (7,2).
The x-coordinate of mid-point is 7 because the vertical line has 7 as x-intercept and y-intercept is two because the horizontal line has y-intercept 2.
So,
Mid-point=((10+k)/2 ,2)=(7,2)
Comparing the x-coordinate
(10+k)/2=7
10+k=7*2
10+k=14
k=14-10
k=4
Related Questions
Is this tangent to the circle?
Answers
Yes since (2*6.4)²+9.6²=256=16²
Angle A=90°
[tex] hyp^{2}= adj^{2}+opposite^{2}[/tex]
hypotenuse in here is the 16 unit length side, the adjacent is AB and the opposite is the diameter with length of 6.4 unit length.
if [tex] 16^{2} = 6.4^{2}+9.6^{2}[/tex] then m(A)= 90 degrees and it will be a tangent.
[tex]16^{2}=256[/tex]
[tex]6.4^{2} + 9.6^{2}=40.96+92.16=133.12 [/tex]
so the theorem is not applicable in this situation so the [tex]m(A) \neq 90 degrees[/tex]
therefore AB is not a tangent
The math test scores of Mrs. Hunter's class are shown below.48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100 What is the range of the scores?
Answers
Highest = 100
lowest = 48
range = 100 - 48 = 52
36 years old. His son is 8 years old. In how many years will Bruce be three times as old as his son?
Answers
---
Equation:
36+x = 3(8+x)
36+x = 24+3x
2x = 12
x = 6 years
In 1985, there was 285 cell phones subscribers in the small town of centerville.After 1985, the number of subscribers increased by 75% per year. How many cell phones subscribers were in centerville in 1994 ?
Answers
We have then:
y = 285 * (1.75) ^ x
Then, we see how many years there are in the requested period
x = 1994-1985 = 9
We evaluate the function for x = 9
y = 285 * (1.75) ^ 9
y = 43871.98637
Round nearest whole number
y = 43872
Answer:
there were 43872 cell phones subscribers in centerville in 1994
A garden has four sides that are all the same length. Each side measures x+4 units. The garden's perimeter is 112 units. What is the value of x? Enter your answer in the box.
Answers
the garden's perimeter is 112 =[(x+4)+(x+4)+(x+4)+(x+4)]
112=4*[x+4]------------ > 112/4=x+4
x=(112/4)-4=28-4=24 units
the answer is x=24 units
Answer: x=24 :)
Step-by-step explanation:
What is the vertex of the parabola?
A. (-1,0)
B. (0,-3)
C. (1,-4)
D. (3,0)
Answers
Option C is correct, the vertex of the parabola is (1, -4).
What is Conic section?Any curve produced by the intersection of a plane and a right circular cone is called as Conic section.
A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
The vertex is either the highest point or the lowest point on the parabola depending on whether the parabola opens upward or downward.
In this case, since the parabola opens upward, we can see that
the vertex is the lowest point on the parabola which is (1,-4).
Hence, Option C is correct, the vertex of the parabola is (1, -4).
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Can someone help me please?
Answers
now, notice Thales theorem on the semi-circle, therefore, IF those two segments in the semi-circle, namely TQ and TS, are indeed perpendicular, that means the angle at the vertex T is a right-angle, and by Thales theorem, QS must be the diameter.
–13.5a + 34.12b + 65.5a – 32.5b – 35.8a
A.
32.5a + 20.47b
B.
16.2a + 1.62b
C.
–18.7a – 26b
D.
1.62a + 16.2b
Answers
Answer:
the answer is C
Step-by-step explanation:
Answer:
The Answer is not C
Step-by-step explanation:
if you simplify your problem, it should not come out as C. if so, you did it wrong.
What is the length of the side of a cube that has a surface area of 864 in2
A.11in
B.12in
C.13in
D.14in
Answers
b-----------> length of the side of cube
we know that
the area surface of cube=6*b²
A=6*b²=864 in²----------------> b=√(864/6)=12 in
the answer is b=12 in
The cost of a single ticket depends on the number of tickets, t, purchased in a group, as represented by the function C(t).
C(t) = $18.50 1 <_t < 12
$16.00 12<_t < 20
$14.50 20<_t
What is the total cost for 20 tickets?
A.)$14.50
B.)$16.00
C.)$290.00
D.)$320.00
Answers
20 · 14.50 = $290.00
Answer: C ) $290.00
Answer:
C. $290
Step-by-step explanation:
We see that,
The cost of the single ticket is given by,
[tex]C(t) =\left\{\begin{matrix} 18.50, &1\leq t\leq 12 \\ 16.00, & 12\leq t\leq 20\\ 14.50, & 20\leq t\end{matrix}\right.[/tex],
where t = number of tickets.
As, we have,
When t = 20, the value of C(t) is $14.50.
That is, the cost of 20 tickets = 20 × 14.50 = $290.
Thus, the total cost of 20 tickets is $290.
Mister Stein is pushin 2.25 lb of meat that cost $2.80 per pound how much change should Mr Stein receive if he gives the cashier 20.00$
Answers
Answer:
13.7 and dang dude is really pushin big P
Step-by-step explanation:
What's the explicit formula HELP
Answers
6(6+1)(2(6)+1) / 6
(6*7*13) / 6
546 / 6 = 91
Answer is C
please help with another math question
Answers
2y=4x+20 Eq 1
4y=6x+24 Eq 2
Divide both sides of equation 1 by 2.
y=2x+10
Substitute value of y in equation 2.
4(2x+10)=6x+24
8x+40=6x+24
2x+40=24
2x=-16
x=-8
Put value of x in y=2x+10
y=2(-8) + 10
y=-16+10
y=-6
Answer : (-8,-6)
What are the domain and range of the function f(x)=1/4(x^3+6x^2+5x-4)
Answers
Answer:
Domain and Range of f(x) is all real numbers i.e [tex](-\infty, \infty)[/tex]
Option 4 is correct.
Step-by-step explanation:
Given the function
[tex]f(x)=\frac{1}{4}(x^3+6x^2+5x-4) [/tex]
we have to find domain and range of the above function.
The domain of a function is the complete set of possible values of the independent variable i.e of x. The denominator function can't be equals to 0 when taking the values of x.
[tex]f(x)=\frac{1}{4}(x^3+6x^2+5x-4) [/tex]
Here the function defines at each and every value of x therefore
Domain of f(x) is all real numbers i.e [tex](-\infty, \infty)[/tex]
The range of a function is the complete set of all resulting values of the dependent variable i.e of y, after substituting the values of the domain.
Range of f(x) is all real numbers i.e [tex](-\infty, \infty)[/tex]
Option 4 is correct.
Answer:
d all infinities
Step-by-step explanation:
The length of a rectangle is 4 cm longer than the width. if the perimeter of the rectangle is 20 centimeters, what is the area of the rectangle?
Answers
length=x+4
width=x
2(x)+2(x+4)=20
use the distributive property
2x+2x+8=20
combine like terms
4x+8=20
subtract 8 from both sides
4x=12
divide both sides by 4 to isolate x
x=3
Length=x+4=3+4= 7
Width= 3
A rectangle is 25 inches long and 13 inches wide. What is the area of the rectangle?
Answers
Therefore,
25 x 13 = 325
The answer is 325 inches squared.
Hope this helps! Good luck! :D
Answer:
GUYS HE MEANT 2/5 AND 1/3
Step-by-step explanation:
THE REAL ANSWER IS 2/15
Area of rectangle is given by:
where
A is the area of rectangle
l is the length of the rectangle
w is the width of the rectangle
As per the statement:
a rectangle is 2/5 inches long and 1/3 in wide
⇒
and inches
then using area formula we have;
Simplify:
inches square.
Therefore, the area of rectangle is square inches.
https://s3.amazonaws.com/algebranation/testyourself_uploads/MAFS9/9.029.png
Answers
Answer:
x = 14
x = negative 2
x = 2
x = negative 14
Step-by-step explanation:
Tabitha is trying to find the equation of a line perpendicular to y = 1 over 2 x − 5 in slope-intercept form that passes through the point (2, −7). Which of the following equations will she use?
Answers
Answer:
[tex]y=-2x-3[/tex]
Step-by-step explanation:
we know that
If two lines are perpendicular
then
the product of their slopes is equal to minus one
so
[tex]m1*m2=-1[/tex]
Step 1
Find the slope of the given line
we have
[tex]y=\frac{1}{2}x-5[/tex]
the slope of the given line is equal to
[tex]m1=\frac{1}{2}[/tex]
Step 2
Find the slope of the line perpendicular to the given line
[tex]\frac{1}{2}*m2=-1[/tex]
[tex]m2=-2[/tex]
Step 3
Find the equation of the line into slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]m=-2[/tex]
[tex]point(2,-7)[/tex]
substitute and solve for b
[tex]-7=-2*(2)+b[/tex]
[tex]-7=-4+b[/tex]
[tex]b=-7+4=-3[/tex]
The equation of the line is equal to
[tex]y=-2x-3[/tex]
Match the reasons with the statements in the proof.
Given: a | | b, m 2 = m 3
Prove: m 1 = m 3
1. a||b, m∠2 = m∠3
Given
2. m∠1 = m∠2
Substitution
3. m∠1 = m∠3
If lines are ||, corresponding angles are equal.
Answers
Prove: m 1 = m 3
1. a || b, m∠2 = m∠3
Given
2. m∠1 = m∠2
If lines are ||, corresponding angles are equal.
3. m∠1 = m∠3
Substitution
The correct matching of the statement and reasons in the proof given goes thus:
a | | b - - - - - - - - - - GIVEN m∠1 = m∠2 - - - - corresponding angles are equalm∠1 = m∠2 - - - - - SubstitutionThe first reason stated when starting a proof is 'GIVEN' as it has been stated in the question a | | b and m 1 = m 3
From the diagram, the traversal cuts the two parallel lines, creating a corresponding angle at m∠1 and m∠2
Since, we've been told that m1 = m3 in the initial statement, we assign the value of the angle m∠1 to m∠3 (substitution)
Hence, the proof.
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A survey determined that 7/18 of the seventh grade students at Mills Middle School preferred round chocolate candies to hard candy. When Jennifer duplicated the survey, 1/9 of the students changed their preference from chocolate candy to hard candy.
What fraction of the students in the second survey preferred round chocolate candy?
A. 8/27
B. 7/162
C. 5/ 18
D. 1/2
Answers
Answer:
The correct answer is C) 5/18
Step-by-step explanation:
In order to find this answer, you need to take the fraction that answered it on the first try and subtract the number that changed their mind.
7/18 - 1/9
In order to complete this operation, you need to give them common denominators.
7/18 - 2/18 = 5/18
write fifty-seven and one hundred forty-two thousandths in standard form.
Answers
Fifty-seven and one hundred forty-two thousandths in standard form is 57.142, which is the conventionally written numeric form without placeholder zeroes.
The number fifty-seven and one hundred forty-two thousandths in standard form is written as 57.142. The standard form of writing numbers is also known as conventional notation, which means writing out the number as it is normally seen and used. To convert a number into standard form, you place the decimal point after the last non-zero digit and write out the number without any placeholder zeroes.
The Art Store sells three types of art pencil sets. The profit is $8.45 on watercolor pencil sets, $6.19 on pastel pencil sets and $4.62 on charcoal pencil sets. There are two branches of the Art Store. The number of sales of pencil sets for each store are shown in the table below.
Set Type
Sales for Westside Branch
Sales for Downtown Branch
watercolor
132
74
pastel
56
48
charcoal
119
126
Which store had the most profit and what was the total profit of that store?
Answers
watercolor
132*(8.45)=1115.4
pastel
56*(6.19)=346.64
charcoal
119*(4.62)=549.78
Total profit= 1115.4 + 346.64 + 549.78 = 2011.82
Sales for Downtown Branch
watercolor
74*(8.45)= 625.3
pastel
48*(6.19)= 297.12
charcoal
126*(4.62)= 582.12
Total profit= 625.3 + 297.12 + 582.12 = 1504.54
Answer:
Westside Branch had the most profit and the total profit of that store was
2011.82$
Answer:
c
Step-by-step explanation:
Car = V-8 sedan
Years driven = first and second
Miles driven = 15,000 miles the first year and 12,000 the second
In dollars and cents, the total projected gas and oil cost for two years would be $
Answers
Years driven = first and second
Miles driven = 15,000 miles the first year and 12,000 the second
In dollars and cents, the total projected gas and oil cost for two years would be $
(15,000*.028)=420.00
(336.00*.028)=336.00
420.00+336.00=756.00
Answer:
In dollars and cents, the total projected cost of gas and oil for two years would be $ 756.00
Step-by-step explanation:
Hello! Let's solve this!
First we will calculate per year how much is spent.
First year:
15000 * 0.028 = 420.00
Second year:
12000 * 0.028 = 336.00
The total cost in the two years is the sum of both:
420.00 + 336.00 = 756.00
In dollars and cents, the total projected cost of gas and oil for two years would be $ 756.00
a lab is growing bacteria in a culture dish. the amount of bacteria in the dish doubles every 3 hours. initially, there are 500 bacteria in the dish. how many are in the dish after 9 hours
a. 4,500 bacteria
b. 4,000 bacteria
c. 1,500 bacteria
d. 13,500 bacteria
Answers
I hope it is correct
Answer:
1,500 bacteria so answer C
Step-by-step explanation:
Which expression is not equivalent to 3x – 2?
A. x + x – 1 – 1 + x
B. 2x + 2 + x
C. 3 – x + 2x – 5 + 2x
D. 4x – 4 – x + 2
Answers
The expression which is not equivalent to the given expression is 2x + 2 + x. Hence, option B is correct.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms into an expression, a mathematical operation like reduction, addition, multiplication, or division is used.
As per the given information in the question,
The given expression is,
3x - 2
Now, one by one check with given options,
A. x + x - 1 - 1 + x = 3x - 2, So, it is correct.
B. 2x + 2 + x = 3x + 2, So, it is incorrect.
C. 3 - x + 2x - 5 + 2x = 3x + 2, So, it is correct
D. 4x - 4 - x + 2 = 3x + 2, So, it is correct.
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b
just got it right on edge
Your turn: Use the triangle given. What is the value of sin Θ?
Answers
The definition of the sine is
Sin(x) = Opposite / hypotenuse.
Sin(x) = 10/26 = 5/13 The fraction reduces.
The answer is B
Done.
The product of three whole numbers is 120 how many different possibilities are there for the three whole numbers
Answers
2 * 2 * 2 * 3 * 5
I think there are nine different possibilities
1) 8 * 3 * 5
2) 4 * 2 * 15
3) 4 * 6 * 5
4) 4 * 10 * 3
5) 2 * 2 * 30
6) 2 * 3 * 20
7) 2 * 5 * 12
8) 2 * 6 * 10
9) 2 * 15 * 4
Solution:
It is given that,
Product of three Whole numbers = 120
Factorizing 120 into Prime Factors
120 = 2 ×2 ×2×3×5
Number of Possibilities
=Arrangement of 5 things which are numbers(2,2,2,3,5) when 3 of them are equal
= [tex]\frac{5!}{3!}=\frac{5 \times 4 \times 3!}{3!}=5 \times 4 =20[/tex]
A news reporter wants to estimate the percentage of registered voters who will vote for a particular candidate in an upcoming election.
Which statement describes a method that will help him accurately estimate this percentage?
He could ask his readers to respond to a survey that asks which candidate the reader will vote for and then calculate the percentage of people who say that they will vote for the particular candidate.
He could ask employees at the newspaper which candidate each will vote for, and then calculate the percentage who will vote for the particular candidate.
He could contact every resident in the town, ask whether the resident will vote for the particular candidate, and then calculate the percentage of residents who say they will vote for the particular candidate.
He could take a random sample of registered voters, and then calculate the percentage of the sample who will vote for the particular candidate.
Answers
He could take a random sample of registered voters, and then calculate the percentage of the sample who will vote for the particular candidate.
To best determine the number of participants, he can even use Slovin's formula to get better results.
Answer: The answer is d
Step-by-step explanation: I took this test
Jessica paid $13.24 for a 3.41-pound bag of shrimp at one store. The following week, she paid $18.99 for a 4.96-pound bag at another store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price. Round your answers to the nearest cent.
Answers
Answer: 1st answer is 3.88 lastly the 2nd is 3.83
Step-by-step explanation:
The bag with price $18.99 for a 4.96-pound bag is best to buy.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Jessica paid $13.24 for a 3.41-pound bag of shrimp at one store.
So, Jessica paid for one pound of shrimp = 13.24/ 3.41
= $3.88
= $3.9
and, he paid $18.99 for a 4.96-pound bag at another store.
So, she paid for one pound = 18.99/4.96
= $3.8286
= $3.8
Hence, the bag with price $18.99 for a 4.96-pound bag is best to buy.
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what set of transformations could be applied to rectangle ABCD to create A’B’C’D’?
A)Reflected over the x-axis and rotated 180 degrees
B)Reflected over the y-axis and rotated 180 degrees
C)Reflected over the x-axis and rotated 90 degrees counterclockwise
D)Reflected over the y-axis and rotated 90 degrees counterclockwise
Answers
Rectangle ABCD has vertices A(-4,2), B(-4,1), C(-1,1) and D(-1,2).
1. Apply the reflection over the x-axis that has a rule
(x,y)→(x,-y).
Then
A(-4,2)→A''(-4,-2);B(-4,1)→B''(-4,-1);C(-1,1)→C''(-1,-1);D(-1,2)→D''(-1,-2).2. The second transformation is rotation by 90° counterclockwise about the origin. This transformation has a rule
(x,y)→(-y,x).
Then
A''(-4,-2)→A'(2,-4);B''(-4,-1)→B'(1,-4);C''(-1,-1)→C'(1,-1);D''(-1,-2)→D'(2,-1).As you can see these points are exactly those frome the diagram.
Answer: 1st transformation is reflection over the x-axis and second transformation is rotation by 90° counterclockwise about the origin.