Answer:
(27,2) and (243,18)
(63,9) and (84,12)
(45,15) and (60,20)
(27,12) and (72,32)
(15,30) and (20,40)
(12,32) and (18,48)
(18,63) and (24,84)
Step-by-step explanation:
Formula for slope of a line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
a) (15,30) and (20,40).
[tex]m_a=\dfrac{40-30}{20-15}=\dfrac{10}{5}=2[/tex]
Similarly find the slope of other lines.
b) (12,32) and (18,48).
[tex]m_b=\dfrac{48-32}{18-12}=\dfrac{16}{6}=2.67[/tex]
c) (27,12) and (72,32).
[tex]m_c=\dfrac{32-12}{72-27}=\dfrac{20}{45}=0.44[/tex]
d) (45,15) and (60,20).
[tex]m_d=\dfrac{20-15}{60-45}=\dfrac{5}{15}=0.33[/tex]
e) (27,2) and (243,18).
[tex]m_e=\dfrac{18-2}{243-27}=\dfrac{16}{216}=0.074[/tex]
f) (18,63) and (24,84).
[tex]m_f=\dfrac{84-63}{24-18}=\dfrac{21}{6}=3.5[/tex]
g) (63,9) and (84,12).
[tex]m_g=\dfrac{12-9}{84-63}=\dfrac{3}{21}=0.143[/tex]
After arranging the slopes in increasing order, we get
[tex]m_e<m_g<m_d<m_c<a_a<m_b<m_f[/tex]
So, required arrangement of ordered pairs is
(27,2) and (243,18)
(63,9) and (84,12)
(45,15) and (60,20)
(27,12) and (72,32)
(15,30) and (20,40)
(12,32) and (18,48)
(18,63) and (24,84)
why is a domain of a parabola unlimited?
Answer:
A domain of a parabola is all real numbers because you can input any x-value into the equation.
Step-by-step explanation:
Since there are no restrictions of numbers you can put in x², we can plug anything in. Therefore, our domain is infinite numbers.
Which of the following segments is tangent to the circle? answers: 1) ac 2) fg 3) de 4) hi
Answer:
3) ED
Step-by-step explanation:
3)ED
as u can see, AC has a 90 degree angle with ED
Answer:
3) DE
Step-by-step explanation:
A segment is tangent to a circle when it intercepts with the circle at only one point, which is the case for DE.
How many solutions a system of linear equations have if: Questions. 1.the equations have different slopes? 2.the equations have the same slope and different y-intercepts. 3.the equations have the same slope and same y-intercepts. Answers. A.no solutions. B.infinetly as many solutions C.two solutions. D.one solution
Answer:
see below
Step-by-step explanation:
1.the equations have different slopes? They will intersect at one point so one solution
2.the equations have the same slope and different y-intercepts. They are parallel lines with a different y intercept so they will never intersect - no solutions
3.the equations have the same slope and same y-intercepts. they are the same line so they have infinite solutions
Answer:
1. One solution
2. no solution
3. infinite number of solutions.
Step-by-step explanation:
How many solutions a system of linear equations have if: Questions.
(assuming a system of two equations)
1.the equations have different slopes?
One unique solution, which is at the intersection point.
2.the equations have the same slope and different y-intercepts.
The equations/lines are then parallel but NOT coincident. They will never meet, therefore NO solution.
3.the equations have the same slope and same y-intercepts.
The two lines/equations are in effect coincident. Therefore there is an infinite number of solutions.
Answers. A.no solutions. B.infinetly as many solutions C.two solutions. D.one solution
D is m<5+m<6
Please answer im not very good with this math
Answer:
A. m∠2 + m∠3
Step-by-step explanation:
The exterior angle theorem states that the exterior angle formed when you extend the side of a triangle is equal to the sum of its non-adjacent angles.
So m∠4's non-adjacent angles are 2 and 3 NOT 1. Therefore, the measure of ∠4 = m∠2 + m∠3.
Hope this helps!
Answer:
A) m∠2 + m∠3
Step-by-step explanation:
Triangle Exterior Angle Theorem: The Sum of the outside angle is found using by adding the two opposite interior angles.
In the case of ∠4, the opposite interior angles are ∠2 & ∠3.
~
Which of the points are solutions to the inequality?
Check all that apply.
O (-2,-5)
0 (0.-4)
(1.1)
(3.5)
D (5.5
Answer:
A, C and D
Step-by-step explanation:
The missing inequality is:
y > 2x -4
To verify if a point is a solution, replace x into the equation, compute y, and see their relationship.
Option A: (-2,-5)
2(-2) -4 = -8
y = -5 > -8
then, the point is solution
Option B: (0,-4)
2(0) -4 = -4
y = -4 = -4
then, the point is not solution
Option C: (1,1)
2(1) -4 = -2
y = 1 > -2
then, the point is solution
Option D: (3,5)
2(3) -4 = 2
y = 5 > 2
then, the point is solution
Option E: (5,5)
2(5) -4 = 6
y = 5 < 6
then, the point is not solution
Rani scores 4 times as many baskets as Layla. Tash scores 8 baskets less than Rani. They score 100 baskets in total. How many baskets does Tash score?
Answer:
Tash scores 40 baskets
Step-by-step explanation:
Rani = R
Layla = L
Tash = T
R = 4L
T = 4L-8
As L + R + T = 100
L + 4L + 4L-8 = 100
Collect like terms
9L - 8 = 100
+ 8 both sides
9L = 108
divide by 9 both sides
L = 108 / 9
L = 12
Now..... T = 4L-8 substitute L with 12
T = 48 - 8
T = 40
the question is in the photo please show work
Answer:
x=pm-rm
Step-by-step explanation:
[tex]\frac{x}{m}+r=p\\\\ \frac{x}{m}+r-r=p-r\\\\\frac{x}{m}=p-r\\\\\frac{x}{m}*m=(p-r)*m\\\\\boxed{x=pm-rm; m\neq 0}[/tex]
(08.02)The coordinate grid shows the plot of four equations. A coordinate plane is shown with four lines graphed. Line A crosses the x axis at negative 3.5 and the y axis at 7. Line B crosses the x axis at 6.5 and the y axis at 4.5. Line C is horizontal and crosses the y axis at 1. Line D crosses the x axis at 0.5 and the y axis at 1. Which set of equations has (−1, 5) as its solution? A and B B and D A and C B and C
Answer:
a and b
Step-by-step explanation:
Which circle has a radius that measures 10 units? Circle D is shown. A line segment goes from one point to another point on the circle and has a length of 10. Circle F is shown. A line segment goes from one point to another point on the circle and goes through point F. It has a length of 20. Circle G is shown. A line segment goes from one point to another point on the circle and goes through point G. It has a length of 10. Circle H is shown. A line segment goes from one point to another point on the circle and has a length of 20.
Answer:
Circle with 20 unit Diameter
Step-by-step explanation:
There's no picture attached, so I can't tell you which circle that is, but remember that the radius is equal to half of the diameter. The diameter is a segment on the interior of a circle that passes through the center. You could also find a ten-unit-long line with a segment from the center of the circle to any point on the circle, because that is the radius. If it doesn't pass through the center, it's a chord, not a diameter, so it doesn't count!
The circle with a radius of 10 is (d) A line segment goes from one point to another point on the circle and has a length of 20.
What is radius?The radius of a circle is a line drawn from the center to the circumference of the circle
For a circle to have a diameter of 20, the radius of the circle must be 10
The circle with a radius of 10 is (d) A line segment goes from one point to another point on the circle and has a length of 20.
Read more about circle radius at:
https://brainly.com/question/24375372
9/5= 27/ y - 7 Thats the question. Im dyin for help. :)
Answer:
1 10/17
I answered it in the pervious question
The graph of F(x) , shown below, resembles the graph of G(x) = x ^ 2 , but it has been changed somewhatWhich of the following could be the equation of F(x) ?
Answer:
B.
Step-by-step explanation:
Since we are moving the graph f(x) to the right 2 and down 1 with a reflection over the x-axis, we modify a, h, and k in f(x) = a(bx - h)² + k:
We would get f(x) = -(x - 2)² - 1 as our answer.
Travis was attempting to make muffins to take to a neighbor. The recipe that he was working with required ¾ cup of sugar and ⅛ cup of butter. Travis accidentally put a whole cup of butter in the mix. What amount of sugar does Travis need to put into the mix to have the same ratio of sugar to butter that the original recipe calls for?
Answer:
6 cups
Step-by-step explanation:
3/4x8=
6
A boat travels 40 miles downstream (with the current) in the same time it takes the boat to travel 30 miles upstream (against the current). If the boat travels at 46 miles per hour, write an equation to solve for the speed of the current, x in miles per hour.
Answer:
40/46+x=30/46-x
Step-by-step explanation:
Speed=distance/time
s=d/t
x=speed of the boat
Downstream speed=x+46
Upstream speed=x-46
Downstream
s=d/t
x+46=40/t
t=40/(x+46)
Upstream
s=d/t
x-46=30/t
t=30/(x-46)
Equate upstream and downstream
30/x-46=40/x+46
30(x+46)=40(x-46)
30x+1380=40x-1840
30x+1380-40x+1840=0
-10x+3220=0
-10x=-3220
Divide both sides by -10
x=322
x=322 miles/hour
write down these numbers in ascending order 0.07, -7.88, -7.9, 7.03, -7.881 get BRAINLIEST (*-*) (0_0)
Answer:
-7.9, -7.881, -7.88, 0.07, 7.03.
Step-by-step explanation:
Ascending, is just another word for "least to greatest."
To arrange these numbers from least to greatest, we start with the negative numbers. The negative numbers are: -7.88, -7.9, -7.881.
The greatest of these numbers would be the number that is closest to 0, and that would be -7.88.
Arranging these numbers should give us: -7.9, -7.881, -7.88.
The positive numbers are naturally greater than the negatives, and we see that 7.03 is greater than 0.07. Thus, we have the list of numbers to be: -7.9, -7.881, -7.88, 0.07, 7.03.
Let me know if this helps :)
Please help! ASAP Thank you :) if you do.
Answer:
49. to the left two spaces (place values)
50. 4.35 m
51. to the right three spaces (place values)
52. 12,000 mL
53. to the right six spaces (place values)
54. 3,000,000
Step-by-step explanation:
49. 1 centimeter is equal to [tex]\frac{1}{100}[/tex] of a meter. In other words, there are 100 cm in 1 meter. To convert from cm to m, you would move the decimal to the left because meters are larger than centimeters meaning a large number of centimeters would convert to a smaller number of meters. The decimal will move two places because there are 100 cm in 1 meter. (look at the number of zeros to determine how many spaces to move)
50. Follow the rule from the 49:
435.00 → 4.35
51. 1 liter is equal to 1000 milliliters. This means the number will increase, moving the decimal to the right. The decimal will move three places because each place value equals 10x and 10 · 10 · 10 = 1000. (look at the number of zeros to determine how many spaces to move)
52. Follow the rule from 51:
12.00 → 12,000
53. 1 megameter is equal to 1,000,000 meters. This means the number will increase, moving the decimal to the right. The decimal will move six spaces because each place value equals 10x. 10 · 10 · 10 · 10 · 10 · 10 = 1,000,000 (look at the zeros to determine how many spaces to move)
54. Follow the rule from 53:
3.00 → 3,000,000
Find the missing side length in the image attached.
Answer:
? = 56.
Step-by-step explanation:
In the problem, the side 20 corresponds to side 32 and side 20 + 35 corresponds to side 32 + ?.
[tex]\frac{20}{32} =\frac{20 + 35}{? + 32}[/tex]
[tex]\frac{5}{8} =\frac{55}{? + 32}[/tex]
[tex]\frac{1}{8}=\frac{11}{? + 32}[/tex]
? + 32 = 8 * 11
? + 32 = 88
? = 56.
Hope this helps!
Answer:
56
Step-by-step explanation:
We can find the missing side length through ratios.
20/35 = 32/x
Cross multiply.
20x = 35(32)
20x = 1120
x = 1120/20
x = 56
–5(v + 65) = -65 v = ____
Answer:
v = -52
Step-by-step explanation:
Divide both sides by -5
v + 65 = 13
v = 13 - 65
v = -52
Answer:
v= -52
Step-by-step explanation:
-5(v+65)=-65
-5v-325=-65
-5v=260
v=-52
AQRS is a right triangle.
Select the correct similarity statement.
S
O ASTR~ ATQR
ASTR~ ARST
T
O ASTR – ASOR
O STR ~ ARTQ
R
Answer:
D. Triangle STR ~ Triangle RTQ
Step-by-step explanation:
I'm sorry if this is a late answer, but I hope this can be helpful for other people :)
The similarity statement that is correct is: D. ΔSTR ~ ΔRTQ
Theorem of Similar Right TrianglesThe theorem states that the altitude of a right triangle will divide the right triangle into two similar triangles, which are also similar to the original right triangle.Therefore, the altitude in right triangle QRS has formed two similar triangles that are also similar to ΔQRS.
Thus, the similarity statement that is correct is: D. ΔSTR ~ ΔRTQ
Learn more about similar right triangles on:
https://brainly.com/question/8119934
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each expression to the scenario it represents.
The correct expression with the correct statement has matched below.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is equivalent to the quantity of that value between 1 and 100, and it is highly helpful for forecasting. For instance, if you say 678, we must also know the whole number, but if you say 80%, it is obvious.
The price of a game that’s been discounted by 18% of its list price
It will be (x - 0.18x) = 0.82x
The price of a toy that sells for 18% more than the amount needed to build the toy
It will be (x + 0.18x) = 1.18x
The volume of water remaining in a tank after 3/10 of its original volume is drained out.
It will be [ x - (3/10)x ] = 7/10x
The total amount of flour in a bakery after receiving new stock equal to 3/10 of the current stock.
It will be [ x + (3/10)x ] = 13/10x
For more about the percentage,
brainly.com/question/13450942
#SPJ5
Zoe is making a quilt using 15 red squares and 30 green squares. Which combination shows the same ratio of red squares to green squares?
a. 3 red squares to 6 green squares
b. 6 red squares to 3 green squares
c. 5 red squares to 12 green squares
d. 12 red squares to 5 green squares
Please include the work!
Answer: A. 3 red squares to 6 green squares
Step-by-step explanation:
Method 1) Find a common factor between 15 and 30. For this problem, I'll pick 5. Divide both numbers by this common factor.
15/5=3 red squares
30/5=6 green squares
3 red squares to 6 green squares
Method 2) Find the greatest common factor between 15 and 30. The GCF is 15. Divide both numbers by the GCF.
15/15=1
30/15=2
This leaves you with a ratio of 1 red square to 2 green squares. 1:2 is equivalent to 3:6
3 red squares to 6 green squares
Solve the inequality 12x < 22 + x.
Answer:
12x<22+x
11x<22
x<2
Answer:
x < 2
Step-by-step explanation:
12x < 22 + x
Subtract x on both sides.
12x - x < 22 + x - x
11x < 22
Divide 11 into both sides.
11x/11 < 22/11
x < 2
are the two figures congruent
no, they are neither the same size or shape
yes, they are same size and shape
no, they are different directions
yes, they both quadrilateral
A rectangle has a perimeter of 269.4 miles and a base of 77.6 miles. What is the height?
Answer:
57.1
Step-by-step explanation:
Perimeter Formula: P = 2l + 2w
Simply plug in what we know and solve:
269.4 = 2l + 2(77.6)
269.4 = 2l + 155.2
114.2 = 2l
l = 57.1
Fined the slope of this table
Answer: 8/7 And simplified simplified 1 1/7
Step-by-step explanation:
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Slopes and Tangents.
Basically the above data is the representation of the linear equation.
Thus the slope of linear equation is given as,
m = (y2-y1) / (x2-x1)
so taking any randoms numbers from the given table, we get as,
m = (14-7)/(16-8)
m= (7)/(8)
slope = m = 0.875
Are the two figures in the image congruent? Are they similar? What does this tell you about the geometric transformations you will need to transform one of these polygons into the other?
Describe a series of at least two similar transformations that will transform polygon ABCDE into ΔA’B’C’D’E’: here is more than one way to transform polygon ABCDE into polygon A’B’C’D’E’.
Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence.
Answer:
yes they are congruent
Step-by-step explanation:
What type of function is represented in the table? 5 10 15 20 25 30 6.6 13. 19.5. 26 32.5 39 A. exponential B. logarithmic C. linear D. quadratic 40 points
Answer:
logarithmic I think
Step-by-step explanation:
Use process of elimination
Answer:
C). linear
Step-by-step explanation:
test
A math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment. Compute the probability that a. a male is selected, then two females. b. a female is selected, then two males. c. two females are selected, then one male. d. three males are selected. e. three females are selected.
Answer:
(a) The probability that a male is selected, then two females is 0.4352.
(b) The probability that a female is selected, then two males is 0.3348.
(c) The probability that two females are selected, then one male is 0.4352.
(d) The probability that three males are selected is 0.0717.
(e) The probability that three females are selected is 0.1583.
Step-by-step explanation:
We are given that a math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment.
(a) The probability that a male is selected, then two females is given by;
Number of ways of selecting a male from a total of 11 male = [tex]^{11}C_1[/tex]
Number of ways of selecting two female from a total of 14 female = [tex]^{14}C_2[/tex]
Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]
So, the required probability = [tex]\frac{^{11}C_1 \times ^{14}C_2}{^{25}C_3}[/tex]
= [tex]\frac{\frac{11!}{1! \times 10!} \times \frac{14!}{2! \times 12!} }{\frac{25!}{3! \times 22!} }[/tex] {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }
= [tex]\frac{1001}{2300}[/tex] = 0.4352
(b) The probability that a female is selected, then two males is given by;
Number of ways of selecting a female from a total of 14 female = [tex]^{14}C_1[/tex]
Number of ways of selecting two males from a total of 11 male = [tex]^{11}C_2[/tex]
Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]
So, the required probability = [tex]\frac{^{14}C_1 \times ^{11}C_2}{^{25}C_3}[/tex]
= [tex]\frac{\frac{14!}{1! \times 13!} \times \frac{11!}{2! \times 9!} }{\frac{25!}{3! \times 22!} }[/tex] {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }
= [tex]\frac{770}{2300}[/tex] = 0.3348
(c) The probability that two females is selected, then one male is given by;
Number of ways of selecting two females from a total of 14 female = [tex]^{14}C_2[/tex]
Number of ways of selecting one male from a total of 11 male = [tex]^{11}C_1[/tex]
Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]
So, the required probability = [tex]\frac{^{14}C_2 \times ^{11}C_1}{^{25}C_3}[/tex]
= [tex]\frac{\frac{14!}{2! \times 12!} \times \frac{11!}{1! \times 10!} }{\frac{25!}{3! \times 22!} }[/tex] {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }
= [tex]\frac{1001}{2300}[/tex] = 0.4352
(d) The probability that three males are selected is given by;
Number of ways of selecting three males from a total of 11 male = [tex]^{11}C_3[/tex]
Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]
So, the required probability = [tex]\frac{^{11}C_3}{^{25}C_3}[/tex]
= [tex]\frac{ \frac{11!}{3! \times 8!} }{\frac{25!}{3! \times 22!} }[/tex] {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }
= [tex]\frac{165}{2300}[/tex] = 0.0717
(e) The probability that three females are selected is given by;
Number of ways of selecting three females from a total of 14 female = [tex]^{14}C_3[/tex]
Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]
So, the required probability = [tex]\frac{^{14}C_3}{^{25}C_3}[/tex]
= [tex]\frac{ \frac{14!}{3! \times 11!} }{\frac{25!}{3! \times 22!} }[/tex] {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }
= [tex]\frac{364}{2300}[/tex] = 0.1583
(a) The probability that a male is selected, then two females is 0.4352.
(b) The probability that a female is selected, then two males is 0.3348.
(c) The probability that two females are selected, then one male is 0.4352.
(d) The probability that three males are selected is 0.0717.
(e) The probability that three females are selected is 0.1583.
Determine both the x and y intercepts. Please help! Will mark brainliest!
Answer:
y-intercept: (0, 2.5)
x-intercept: (1.67, 0)
Step-by-step explanation:
Right now, you have 3x + 2y = 5. You want to change it into slope-intercept form to make the problem easier to solve.
2y = -3x + 5
y = -3/2x + 5/2
From here, you can see that the y-intercept is (0, 5/2). You can also say that the y-intercept is (0, 2.5).
To get the x-intercept, substitute 0 for y.
0 = -3/2x + 5/2
3/2x = 5/2
3x = 5
x = 5/3
So, the x-intercept is (5/3, 0). You can also say that the x-intercept is (1.67, 0).
Hope this helps!
Answer:
Step-by-step explanation:
To find the x-intercept, let y = 0. Then 3x = 5 and x = 5/3, or x = 1.667, and the x-intercept is (1.667, 0).
To find the y-intercept, let x = 0. Then 2y = 5 and y = 5/2 or 2.5. Then the y-intercept is (0, 2.5).
What are two possible measures of the angle below? On a coordinate plane, 2 rays form an angle. One ray sits on the x-axis in quadrant 1 and another sits on the y-axis in quadrant 1. –270° and 45° –270° and 90° –120° and 75° –120° and 90°
Answer: B)° -270° and 90°
Step-by-step explanation:
Ray 1 is located on the x-axis in Quadrant 1 → 0°
Ray 2 is located on the y-axis in Quadrant 1 → 90° = -270°
The difference between the two angles is:
90° - 0° = 90°-270° - 0° = -270°A figure which is formed by two rays or lines that shares a common endpoint.
As per the question,
the difference between the two angles is:
90° - 0° = 90°-270° - 0° = -270°Learn more about this concept here:
https://brainly.com/question/11906646
#SPJ2
simplify the expression (-a+2b) - (3a+b)
Answer:
-4a + b
Step-by-step explanation:
Take away the parentheses (brackets) and solve.
-a + 2b - 3a - b
-a - 3a + 2b - b
-4a + b
Answer:
It's -[tex]4a + b[/tex]
Step-by-step explanation:
Simplify the expression.