Answer: (6, -19)
Step-by-step explanation:
y = 4x + b
substitute ( 10, -3) to find b
b = -43
equation of line is:
y = 4x -43
substitute (6, r)
y = 4(6) - 43
solve for y to find r
y = -19
this means that the missing coordinate r is -19
the full coordinate is (6, -19)
Help!!! I have Math homework that needs to be turned in tomorrow.
Find the Difference. Write the fractions in the simplest form.
3/4 - 9/4
Work Shown:
3/4 - 9/4 = (3-9)/4 = -6/4 = -3/2
Use the diagram shown. Solve for x. Find the angle measures to check your work.
mZAOB=(6x-3)°
mZBOC = (6x +18)
mZCOD= (3x+12)°
mZAOB=
mZBOC=
mZCOD=
Vz
O
The values of the angles are m∠AOB = 27°, m∠BOC = 48° and m∠COD = 27°.
Congruency may be defined as the property between two shapes or figures which shows same behavior in their shape and size. The symbol for congruency is given by '≅'. If one image is mirror image of another, then also both are said to be congruent. From the figure ∠AOB is congruent to ∠COD. We have the value of m∠AOB = 6x - 3 and m∠COD = 3x + 12. Equating these two values we get
6x - 3 = 3x + 12
3x = 15
=> x = 5
Now, the value of m∠AOB = 6x - 3 = 27°, value of m∠BOC = 6x + 18 = 48° and of value m∠COD = 3x + 12 = 27°.
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Looking for full help on this practice question, thank you!
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
This question is an application of Geometric Progression, where we have the following:
[tex]\begin{gathered} First\text{ term , a = 3} \\ Common\text{ ratio, r = }\frac{2}{3} \end{gathered}[/tex][tex]\begin{gathered} \text{Recall that:} \\ Sum\text{ to infinity, S}_{\infty}=\text{ }\frac{a\text{ }}{1-\text{ r}} \end{gathered}[/tex][tex]Sum\text{ to infinity, S}_{\infty}=\frac{3}{1-\frac{2}{3}}=\frac{3}{\frac{1}{3}}\text{ = 3 }\times\text{ 3 = 9 m \lparen OPTION C \rparen}[/tex]CONCLUSION:
The total vertical distance the ball travels before coming to a rest = 9m
( OPTION C)
A 21 choices basic sundae comes in three sizes small medium or large and includes one flavor of ice cream and one of 12 toppings dontrelle has enough money for a small or medium basic sundae how many different sundaes could dontrelle order that included only flavor that he likes
Answer:
[tex]\frac{2}{sizes}[/tex] * [tex]\frac{18}{flavors}[/tex] *[tex]\frac{12}{toppings}[/tex] = 432 possible sundaes
Step-by-step explanation:
The required number of combinations Dontrelle can order is 504.
As mentioned in the question that 21 choices basic sundae comes in three sizes small medium or large and includes one flavor of ice cream and one of 12 toppings Dontrelle has enough money for a small or medium basic sundae.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
Total number of choices of sundaes = 21 small + 21 medium = 42
Total number of toppings = 12
Total ice cream = 1
Total number of combinations = 42 × 12 × 1 = 504
Thus, the required number of combinations Dontrelle can order is 504.
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Which of the following explains how to use partial quotients to find
832
÷
26
?
A.
Subtract
20
×
40
from 832 to get 32. Then subtract
1
×
26
from 32 to get 6.
Then add the partial quotients 20 + 1 + 6 to get 27. The quotient is 27.
B.
Subtract
30
×
25
from 832 to get 82. Then subtract
3
×
26
from 82 to get 0.
Then add the partial quotients 30 + 3 to get 33. The quotient is 33.
C.
Subtract
30
×
26
from 832 to get 52. Then subtract
2
×
26
from 52 to get 0.
Then add the partial quotients 30 + 2 to get 32. The quotient is 32.
D.
Subtract
30
×
26
from 832 to get 52. Then subtract
4
×
13
from 52 to get 0.
Then add the partial quotients 30 + 4 to get 34. The quotient is 34.
Partial quotients can be used to find 832 ÷ 26 by the explanation that follows. C. Subtract 30 × 26 from 832 to get 52. Then subtract 2 × 26 from 52 to get 0. Then add the partial quotients 30 + 2 to get 32. The quotient is 32
How to do division using partial quotientsPartial quotient is the method that is sued to solve the big division problems in mathematics. It is one that is done through the use of logic in order to get the solution
For instance
832 ÷ 26 ⇒ 30
30 * 26 = 780
832 - 780 = 52
52 ÷ 26 ⇒ 2
2 * 25 = 52
52 - 52 = 0
The quotient is gotten by adding up the values gotten during the division
= 30 + 2
= 32
32 is the quotient and option C is the correct option
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MN is parallel to XZMN is 6 units. Find the lengths of NZ and XZ.
Since these triangles are similar, we can express the ratios of their sides like this:
[tex]\frac{YX}{YM}=\frac{YZ}{YN}=\frac{XZ}{NM}[/tex]By taking the first two ratios replacing the known values and then solving for YZ, we get:
[tex]\begin{gathered} \frac{YX}{YM}=\frac{YZ}{YN} \\ \frac{YZ}{3}=\frac{10}{5} \\ \frac{YZ}{3}=2 \\ YZ=2\times3=6 \end{gathered}[/tex]The length of NZ is the length of YZ minus the length of YN:
NZ=YZ-YN=6-3=3
Then, NZ equals 3
By taking the last two ratios we can calculate XZ, like this:
[tex]\begin{gathered} \frac{YZ}{YN}=\frac{XZ}{NM} \\ \frac{6}{3}=\frac{XZ}{6} \\ \frac{XZ}{6}=\frac{6}{3} \\ \frac{XZ}{6}=2 \\ XZ=2\times6 \\ XZ=12 \end{gathered}[/tex]Then, XZ equals 12
help me please
thank you
Answer:
Domain: A, [tex](-\infty, \infty)[/tex]
Range: A, [tex][4, \infty)[/tex)
Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
PLS HELP ME FASTTT DUE 4 mins
PLUG IN
[tex] \frac{2}{3} [/tex]
IN THE PLACE OF x IN THE EQUATION
[tex] {x}^{2} + 3x - 2[/tex]
[tex]( \frac{2}{3} )^{2} + 3( \frac{2}{3} ) - 2 \\ = \frac{4}{9} + 2 - 2 \\ = \frac{4}{9} [/tex]
H is the solution.
What is the result of adding these two equations? 2c + 3y = -5 5x - y = -12
2x + 3y = -5
5x - y = -12
add result is
(2x + 5x) + (3y - y) = -5 -12
7x + 2y = -17
Answer is
7x + 2y = -17
x =5|y| - 3Step 1 of 2: Find four points contained in the inverse.
First, we find the inverse
[tex]y=-4|x|+3[/tex]Then, we solve for x = 1, 2, 3, 4.
[tex]\begin{gathered} y=-4|1|+3=-4+3=-1 \\ y=-4|2|+3=-8+3=-5 \\ y=-4|3|+3=-12+3=-9 \\ y=-4|4|+3=-16+3=-13 \end{gathered}[/tex]Hence, the points are (1, -1), (2, -5), (3, -9), and (4, -13).melissa loves to read. she finished 6 books this weekend, 5 books last weekend, and 7 books the weekend before that. If the books averaged 120 pages each, about how many pages did she read in 3 weekends
She read 2160 pages in 3 weekend
Given,
Melissa finished 6 books this weekend, 5 books last weekend, and 7 books the weekend before that.
Average of books pages is 120 each.
To find the how many pages she read in 3 weekend?
Now, According to the question:
Based on the given condition,
120 x (7 + 6 + 5)
= 120 x 18
= 2160
Hence, She read 2160 pages in 3 weekend
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First rewrite 2/5 and 1/20 so that they have a common denominator
EXPLANATION;
Given;
We are given the two numbers,
[tex]\frac{2}{25}\text{ }and\text{ }\frac{1}{20}[/tex]Required;
We are required to arrange them in order and the solution is as follows;
[tex]\begin{gathered} \frac{2}{25}=\frac{4}{4}\times\frac{2}{25} \\ \\ \frac{2}{25}=\frac{8}{100} \end{gathered}[/tex][tex]\frac{1}{20}\times\frac{5}{5}=\frac{5}{100}[/tex]As we can see, the fractions have been replaced with equivalent and these are;
[tex]\frac{2}{25}(\frac{8}{100})>\frac{1}{20}(\frac{5}{100})[/tex]As we can see, eight out of 100 is greater than 5 out of 100. Therefore;
ANSWER:
[tex]\frac{2}{25}>\frac{1}{20}[/tex]if the ratio of tourists to locals is 2:5 and there are 50 tourists at the opening of a new museum how many locals are in attendance
Ratio: 2 tourist: 5 locals
To find the number of locals you multiply the given number of tourits by 5/2:
[tex]50\text{tourist}\cdot\frac{5\text{locals}}{2\text{touritst}}=125\text{locals}[/tex]Then, when there are 50 tourist, there are 125 locals¿Cuáles son las potencias de 5 que se encuentran entre el número 1 y el número 200?
One thing to take into consideration is the unit names' digit names.
Under the specified conditions, the power of 5 corresponds to the numbers 5, 25, 125.
When does one number become a multiple of another?If a number A is completely contained within a number B, then it is possible to say that the two numbers are identical. It is said:
B = n.A
B = number multiplier
n = natural number
A = base number, interest number
In our case, the following procedure is followed:
Base number = Multiples between 1 and 200.
Para n = 1:5(1)=5
Para n = 2:5(2)=25
Paragraph = 3:5(3)=125
Paragraph =4: 5(4)=625
Does not satisfy the condition
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The total cost of a purchase of a number ofChromebooks, x can be represented by the functionc(x) = 250x. Which set of numbers best defines thedomain of c(x)? Explain how you know.
Answer:
Whole numbers
Explanation:
The domain of a function is the set of all the possible values that the variable x can take. In this case, x represents the number of Chromebooks, so x can take values like 0, 1, 2, 3, ...
Therefore, the c(x) domain is the set of whole numbers because these are the numbers that we use to count.
Suppose that J and K are points on the number line. If JK=6 and J lies at -3, where could K be located? them with commas. If there is more than one location, separate
Answer:
15, -9
Step-by-step explanation:
A car at the junk yard weighed in a 20000 pounds. If the junk yard offers $50 per ton of scrap metal how much money would you make off this car?
We know that 1 ton is the same as 2000 pounds. Then we have:
[tex]\begin{gathered} 2000\rightarrow1 \\ 20000\rightarrow x \end{gathered}[/tex][tex]\begin{gathered} x=\frac{20000}{2000} \\ x=10 \end{gathered}[/tex]Hence the car weighs 10 ton and therefore you would make $500
Sketch the parabola using the given information. Vertex (0,-2), point (5,8)
Take into account that in a general way, a parabola can be written as follow:
y = a(x - h)^2 + k
where,
a: is the leadding coefficient
(h,k): vertex of the parabola
In order to graph the parabola, first calculate the value of a, by using the following information:
(h,k) = (0,-2)
(x,y) = (5,8)
Replace the previous values into the equation of the parabola and solve for a:
[tex]\begin{gathered} 8=a(5-0)^2-2 \\ 8=25a-2 \\ a=\frac{8+2}{25}=\frac{10}{25}=\frac{2}{5} \end{gathered}[/tex]Then, the equation of the given parabola is:
[tex]\begin{gathered} y=\frac{2}{5}(x-0)^2-2 \\ y=\frac{2}{5}x^2-2 \end{gathered}[/tex]Another point could be:
x = -2
[tex]\begin{gathered} y=\frac{2}{5}(-2)^2-2 \\ y=\frac{2}{5}(4)-2 \\ y=\frac{8}{5}-2 \\ y=-\frac{2}{5} \end{gathered}[/tex]the point is (-2,-2/5).
Then, the graph is:
Help 5 points and brainliest show ur work
Yes, the ordered pair (4, 7) is a solution of the equation y = 5x - 13.
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
To conclude if the ordered pair (4, 7) is a solution of the equation
y = 5x - 13 or not we have to substitute the value of x and check what is the corresponding y value.
So, y = 5x - 13.
At x = 5,
y = 5(4) - 13.
y = 20 - 13.
y = 7.
∴ When x = 4 the corresponding y value is 7 so the given ordered pair
(4, 7) satisfies this condition.
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6 11 x 4 which statement is true about the expression above unit test
A conditional statement is one that has the syntax "If P then Q," with P and Q denoting sentences. P is referred to as the hypothesis and Q is referred to as the conclusion for this conditional statement. The implication of "If P then Q" is that whenever P is true, Q must also be true.
An illustration of a conditional statement?
Example: A conditional statement is present. In the event of rain, we will not play. Let's say A: It's raining and B: We're not going to play. If A is true—that is, if it is raining—and B is false—that is, if we played—then A implies that B is untrue.
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(PLEASE HELP) GEOMETRY STUFF
Answer: B
Step-by-step explanation:
This is a transversal.
Thus 2x-4 = 3y+6 because they are alternative interior angles
2x-4 and 10z + 100 are supplementary, and thus add to be 180 degrees. Because both do not equal 90 degrees, then they cannot be equal.
Thus the answer is B
What is the value of x in the equation 2x + 9 = 21? 26915
Given:
[tex]2x+9=21[/tex]find: the value of x
Explanation:
[tex]\begin{gathered} 2x+9=21 \\ 2x=21-9 \\ 2x=12 \\ x=6 \end{gathered}[/tex]Final answer: the required value of x is 6.
How do you graph this?
Answer:
start at (0,2) and go down 3 and right 2 and keep doing that.
(-2, 5)
(0,2)
(2, -1)
(4, -4)
graph the linear equation and identify the aloe and y-intercept: y = -2/5x-4
the given expression is,
y = -2/5 - 4
the y-intercept of this equation is -4
9. The formula for the area of a trapezoid is A = {h(b2 + b2). Express bị in terms ofA, h and bz. The area of a trapezoid is 60 square feet, its height is 6 ft, and one base is 12ft. Find the number of feet in the other base.
9.The area of a trapezoid is given as;
A={1/2h{b2 +b2}} where b2 and b2 are the lengths of the sides and h is the height
To express b2 in terms of A ,h, and b2 will be to make b2 the subject of the formular of trapezoid area.This will be
A={1/2h{b2 +b2}} ------ collect like terms and add
A={1/2h{2b2}} --------cancel the 2 in the 1/2 and that in brackets to get
A={h{b2}}
Divide both sides by h to remain with b2 on the right-hand side as
A/h = b2
So the expression will be :
b2 = A/h ---------answer
Eleanor can run 300 meters in 85 seconds. If their speed remains constant, how many meters could they run in 395 seconds? Round to one decimal.
Given that Eleanor can run 300 meters in 85 seconds;
[tex]r=\frac{300}{85}\text{ m/s}[/tex]We want to calculate how many meters it can run in 395 seconds;
[tex]\text{distance = speed}\times\text{ time}[/tex]substituting;
[tex]\begin{gathered} d=\frac{300}{85}\times395 \\ d=1,394.1\text{ meters} \end{gathered}[/tex]Therefore, the distance they can run in 395 seconds is;
[tex]1,394.1\text{ meters}[/tex]I need help with this math problem ignore the lines across the other answer choices they don’t mean that the answer choices are wrong
Answer:
The interquartile range for City B is greater
Explanation:
The interquartile range is the width of the box in the graph. For City A the box is narrower than the box of City B. It means that the interquartile range for City B is greater. So, the answer is
the interquartile range for City B is greater
Rey's teacher gave him the segment CD with end points C(3,1) and D(7,4) and asked him to rotate the segment 90 degrees clockwise about point C. Which of the following is true about the original segment and the result of the rotation? Group of answer choices
The option that is true after the transformation is that; D) The segments share an endpoint.
What is the rotation of the given Line Segment?Usually when we rotate a line segment about the origin in a clockwise manner, we will discover that the transformation rule is;
(x, y) = (y, -x)
Now, in this case it is not about the origin but about the point C and as such the coordinate C will not change after rotation as only the coordinate D will have a change in coordinate.
The coordinates of C and D originally are C(3,1) and D(7,4) .
Thus, the new coordinate of D will be;
D' (−(y − b) + a, (x − a) + b)
D'( (−(4 − 1) + 3, (7 − 3) + 1)
= D'(0, 5)
Using distance coordinate formula which is;
d = √((y₂ - y₁)²+ (x₂ - x₁)²)
where;
(x₁, y₁) is the coordinate of the first point on the line
(x₂, y₂)
CD = √((7 - 3)²+ (4 - 1)²)
CD = 5
Likewise;
CD' = 5
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Complete Question is;
Rey's teacher gave him the segment CD with end points C(3,1) and D(7,4) and asked him to rotate the segment 90 degrees clockwise about point C. Which of the following is true about the original segment and the result of the rotation? Group of answer choices
A) The segments have lengths with a ratio of 2:1.
B) The segments have lengths with a ratio of 1:2
C) The segments share both endpoints.
D) The segments share an endpoint.
Evaluate the function f(x) for the indicated values of x, if possible. Then find the domain of f. f(x)=2x^-x+1; x=2,-2
Answer:
5
Step-by-step explanation:
Please answer I need this answer for my test tmr
