Answer:
Perpendicular.
Step-by-step explanation:
Find the slopes of each line through [tex]m = \frac{(y_2-y_1)}{(x_2-x_1 )}[/tex]
Line a:
m = (-10-4) / (8--4)
= -14/12
= -7/6
Line b:
m = (20-8) / (18 -4)
= 12/14
= 6/7
When lines are parallel, they have the same slope. Since -7/2≠6/7, they are not parallel.
When lines are perpendicular, the product of the slopes equals -1.
-7/6 x 6/7 = -1
The product is -1, hence they are perpendicular lines.
The lines passing through the pairs of points are perpendicular.
What is an equation of a line?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
The slope for Line a:
m = (-10-4) / (8--4)
m= -14/12
m= -7/6
The slope for Line b:
m = (20-8) / (18 -4)
m= 12/14
m= 6/7
When lines are parallel, they have the same slope. Since -7/2≠6/7, they are not parallel.
When lines are perpendicular, the product of the slopes equals -1.
-7/6 x 6/7 = -1
The product is -1, hence they are perpendicular lines.
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Sean and katherine have been married for two years. They want to start a family soon. However, before having a child, they would like to secure their future and the future of their child. Which financial option will help them secure their family's future? A. Invest in in several real estate options B. Invest in high-risk shares that promise big returns C. Invest in a joint insurance and retirement plans D. Become entrepreneurs or invest in a profit-making business
Answer:
A joint insurance and retirement plan would generally be the most secure investment.
Step-by-step explanation:
Note: there may be divergence in the answers depending on personal opinion.
If they would like to secure their future, then they need secure investments, or low-risk investment. Generally, low risk investments will give lower probably returns, but also lower possible losses, if any at all.
A. real estate options, mean unknown return in unknown time-frame
B. high risk shares that promise big returns mean risky investment with high risk of losses
C. joint insurance and retirement plans mean usually known return, and close to zero risk (unless insurance company goes bankrupt)
D. Become entrepreneurs or invest in a business, is a good option, provided a judicious choice of the business would be made.
Find the area of the triangle.
Answer:
80cm^2
Step-by-step explanation:
Answer:
80 ft^2
Step-by-step explanation:
To find the area of a triangle, multiply 1/2*base*height. When you plug in the numbers, the formula looks like this: 1/2*10*16. This will give you 80 ft^2
A recipe for tropical punch calls for 222 cups of pineapple juice and 333 cups of orange juice. Jo creates a drink by mixing 333 cups of pineapple juice with 444 cups of orange juice.
Answer:
Thus we can see that Amount of pineapple juice is more in Jo's drink And Amount of Orange juice is less in Jo'drink .
Step-by-step explanation:
If you want to see if Jo’s drink is equivalent you have to make equivalent ratios.
punch recipe : 2 cups : 3 cups
Jo’s : 3 cups : 4 cups
Let’s make the pineapple juice each 1 cup
punch recipe: 1 cup : cups?
Jo’s : 1 cup : cups?
we have to divide in order for this to work! since we divided 2 cups by 2 we divide 3.
punch recipe : 1 cup : 1.5
do the same thing for Jo’s. We divided 3 cups by 3 we divide 4 cups by 3 now.
jo’s recipe : 1 cup : 1.3
compare 1.5 is bigger than Jo’s recipe hers is not equivalen.
Answer is will have stronge pinnaple juice
As an estimation we are told £3 is €4. Convert £63.20 to euros. 2 decimal places is preffered :)
The value of £63.20 will be €84.20 during the conversion.
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
In this situation, as an estimation we are told £3 is €4. Therefore, the value of £63.20 will be:
= 63.20 × 4 / 3
= €84.20
The value is €84.20.
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a team won 6 hockey matches and lost 9 matches. what per cent of the matches did the team win
Answer:
66.67%
Step-by-step explanation:
total matches = 9
matches won = 6
percentage = matches won*100/ total matches
percentage = 600/9
= 66.67%
Answer:
40%
Step-by-step explanation:
Camila tried to shade only composite numbers on the hundred chart. What mistake did Camila make?
Answer:
B. 29 is prime, not composite
Step-by-step explanation:
A composite number, by definition, is any positive integer of which can be formed by the product of two or more numbers, and the integer must not be a prime number.
29 is a prime and not a composite number because it is only divisible by 1 and itself.
This is not same for 39 and 49.
39 can be divisible by 3, and 13, other than 1 and 39.
49 can be divisible by 7, other than 1 and itself.
Therefore, Camila made a mistake by shading 29 as a composite number.
The answer is: "B. 29 is prime, not composite".
In the triangles, XY = MP and YZ = PN. Triangles Y X Z and P M N are shown. The length of side X Z is 23 inches. The length of side M N is 19 inches. Sides X Y and M P are congruent. Sides Y Z and P N are congruent. If mAngleP = 85°, which is a possible measure for AngleY? mAngleY = 80° mAngleY = 85° mAngleY = 100° mAngleY = 180°
Answer:
[tex]m\angle Y = 85\°[/tex]
Step-by-step explanation:
In Triangles YXZ and PMN
[tex]XY \cong MP\\YZ \cong PN[/tex]
Since the third side of triangle subtended by two congruent sides will always be congruent, the two triangles are congruent by SSS congruence theorem.
Therefore:[tex]\triangle XYZ \cong \triangle MPN\\[/tex]
If the measure of angle P = 85°
Since P and Y are in the same positions(as seen in the diagram) in the two triangles respectively, the measure of angle Y is also 85 degrees.
Answer:
I believe the correct answer would be m<Y= 100° which would be letter C.
Step-by-step explanation:
Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduation trip to Canada’s Wonderland. The students will spend one full day at the park and return late that evening. The school has rented a bus for transportation. The entry fee into the park is $50 and the bus costs $600. Write an equation to relate the cost, C, in dollars to the number of student, s, who participate in this fun trip.
Assume that an opinion poll conducted in a 1998 congressional race found that on election eve, 54% of the voters supported Congressman Smith and 44% supported challenger Jones. Also assume that the poll had a /- 3% margin of error. What would the pollster be able to safely predict
Answer:
Congressman Smith will defeat Challenger Jones
Step-by-step explanation:
Since the poll has a +/- 3% margin of error, the minimum and maximum possible percentages for each candidate are:
(44% - 3%) ≤ Jones ≤ (44% + 3%)
41% ≤ Jones ≤ 47%
(54% - 3%) ≤ Smith ≤ (54% + 3%)
51% ≤ Smith ≤ 57%
This means that, even in the worst possible scenario for Congressman Smith, he would still beat Jones with 51% against 47% of the votes. The pollster can safely predict that Congressman Smith will defeat Challenger Jones .
Please can someone help me on how to answer this question?
Answer:
Hello, I'll do it again caus eit got deleted for some reason!
m = 2g^2 + 5
Step-by-step explanation: Remove the radical by raising each side to the index of the radical.
Hope this helped you again!
please help ! As an estimation we are told £3 is €4. Convert £64.60 to euros. Give your answer rounded to 2 DP.
Answer:
€86.13
Step-by-step explanation:
The computation is shown below:
According to the given question
The estimation we told is
£3 = €4
£ reflects the sign of the pound and "€" reflects the sign of Euro.
Therefore we apply the estimation we get
£1 = €
Now multiply both sides by 73.50.
£64.60= €
£64.60 = €
Therefore, the estimated value of £64.60 is €86.13 (£64.60 × 4 ÷ 3)
simplify by combining like terms: 7x + 6x + 9
Answer:
The like terms are 7x and 6x so the answer is 13x + 9.
Answer:
13x + 9 is the Answer
Step-by-step explanation:
Solve : a) (x-4)(x-2)=0
Answer: X= 3
Step-by-step explanation:
x-4*x-2=0
+4. +4
—————-
x*x-2=4
+2. +2
——————
x*x=6
2x=6
/2. /2
—————-
x=3
Can someone please help me I really need help please help me thank you
Answer:
A
Step-by-step explanation:
Perpendicular lines always have the negative (opposite) reciprocal slope. Therefore, the slope of the line would be -2 because the reciprocal is just switching the numerator and denominator around (1/2 changes to 2/1 which is 2) and the negative means the opposite sign of which was originally given... i.e, since the 1/2 was positive, now it would be negative. That is why the slope is -2.
The equation of a line is y=mx+b with m representing the slope and b representing the y-intercept. Now to find the y-intercept, plug in the given components of the point (4,0) for the equation and solve for b (the y-intercept). Use 4 for x and 0 for y.
0=-2(4)+b
0=-8+b
8=b
PLSSSS HELP ASAPPPP Which is the graph of g(x) = [X +3]
Answer:
the last one
Step-by-step explanation:
the image of [0.1] is 1 using X and now it's X+3
so the image will be 4
Answer:
Last graph, 4, D
Step-by-step explanation:
g(x) = [X +3] is the graph we're looking for
g(x) = X would be a straight line with an equation of y=1x+0 and a slope of 1
So
g(x) = [X +3] would be adding 3 to the vertical asymptote of g(x)
or it would look like
y=1x+3
so the answer to this would be the line that has y = x+3
So the last one
Please help find the measure of the arc
Answer: 214
Step-by-step explanation:
The circumference of a circle measures 360 degrees, and since minor arc EF measures 146 degrees, this means arc EDF measures [tex]360-146=214^{\circ}[/tex]
arc EDF measures is 214°
What is arc?The arc is a portion of the circumference of a circle
The circumference of a circle measures 360°,
Since minor arc EF measures 146°,
arc EDF measures = 360°-146° = 214°
Hence, arc EDF measures is 214°
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PLEASE HELP!!
Suppose f(x)=x^2. What is the graph of g(x)=f(3x)
Answer:
B
Step-by-step explanation:
We begin with the given function [tex]f(x)=x^2[/tex]
To find [tex]g(x)[/tex], we can plug [tex]3x[/tex] into the function [tex]f(x)=x^2[/tex]
[tex]f(x)=x^2\\\\f(3x)=(3x)^2\\\\f(3x)=9x^2\\\\g(x)=9x^2[/tex]
Now that we know the equation of [tex]g(x)[/tex], we can find the graph that is equivalent to it.
The only graph that is even close to the function [tex]g(x)=9x^2[/tex] is B, so that is our answer.
what would the method be???
Answer:
The AA method
Step-by-step explanation:
The AA method states that if 2 of a triangle's angles are congruent to that of another triangle's 2 angles, then those triangles are similar.
Express 35 millimetre in centimetre
Answer:
Hello!
___________________
Express 35 millimetre in centimetre
Millimetre = 35
Centimetre = 3.5
Step-by-step explanation: Divide the length value by 10.
Hope this helped you!
:D
Answer:
Hey! :)
35 millimetre = 3.5 centimetre
Good luck!
- The Brainly Team
A grandfather wants to know the average height of all his grandchildren. He finds that the heights of his 9 grandchildren are given in inches by 63,71,60,59,74,60,60,75,58.
Answer:
The average height is 64.45 inches.
Step-by-step explanation:
Total number of children = 9 children
Heights in inches = 63,71,60,59,74,60,60,75,58.
The average height of grandchildren can be determined by adding all the given heights and then divide by the number of grandchildren.
Now if we add all the given heights of 9 children = 63 + 71 + 60 + 59 + 74 + 60 + 60 + 75 + 58 = 580
The average heights = 580 / 9 = 64.45 inches.
Answer:64.4
Step-by-step explanation:
Se desea plantar árboles a lo largo de un camino de 80m de longitud, a una distancia mínima entre ellos. Si dicha distancia de separación aumentará 6m, entonces el número de árboles necesarios disminuirá en 3. ¿Cuántos árboles serán plantados de la primera forma?
Answer: 8 arboles.
Step-by-step explanation:
Ok, el camino tiene 80m de longitud.
Si la distancia entre árbol y árbol es x metros, entonces entran:
N = 80m/x arboles.
Ahora, si x aumenta en 6m, entonces el numero de arboles se reduciría en 3, entonces tenemos el sistema de ecuaciones:
N = 80/x
N - 3 = 80/(x + 6)
Para resolver esto, el primer paso es remplazar la primera ecuación en la segunda:
N - 3 = 80/x - 3 = 80/(x +6)
Ahora podemos resolver esto para x.
80*(x + 6) - 3*x*(x +6) = 80x
80*x + 480 - 3*x^2 - 18*x - 80x = 0
-3*x^2 -18*x + 480 = 0
necesitamos resolver esa ecuación cuadrática, y sabemos que las soluciones son:
[tex]x = \frac{18 +-\sqrt{18^2 + 4*3*480} }{-2*3} = \frac{18 +-78}{-6}[/tex]
Entonces las dos soluciones son:
x = (18 +78)/-6 = -16
x = (18 - 78)/-6 = 10
La solución tiene que ser positiva, así que elegimos la segunda.
Esto quiere decir que la primera distancia es 10 metros, entonces el numero de arboles es:
N = 80m/10m = 8
help plz quick i will make u a brainllest
Answer:
B
Step-by-step explanation:
Two 90 degree angles add up to 180, a supplementary angle
Correction: The answer is B, I have made a mistake. Sorry.
helppp!!!! please!!!!
Answer:
Second option is the right choice.
Step-by-step explanation:
(x - h)^2 + (y - k)^2 = r^2
Where, (h, k) is the center of the circle.
So, for the given equation, we have the center at:
(h, k) = (-5, 2)
Best Regards!
help me with this question pliz
also show that the length of the minor arc AB equals to 5.84cm correct to 3 significant figures
Answer:
a) [tex]\boxed{Area of Sector AOB = 23.3 units^2}[/tex]
b) [tex]\boxed{Arc Length = 5.84 units}[/tex]
Step-by-step explanation:
a) Area of Sector AOB = [tex]\frac{1}{2} r^2 \theta[/tex]
Where r = 8, θ = 41.8 degrees
Firstly, Angle in Radians
=> 41.8 degrees = 0.73 radians
So,
Area of Sector AOB = [tex]\frac{1}{2} (8)^2 (0.73)[/tex]
Area of Sector AOB = [tex]\frac{1}{2} (64)(0.73)[/tex]
Area of Sector AOB = 23.3 units²
b) Finding the length of minor arc AB
So,
Arc Length = Radius × [tex]\theta[/tex]
Where Radius = 8, [tex]\theta[/tex] = 0.73 radians
Arc Length AB = 8 * 0.73
Arc Length = 5.84 units
Answer:
1337.6 cm squared
Step-by-step explanation:
Using formula: [tex]A=(x/2)*r^{2}[/tex]
[tex]A=(41.8/2)*8^{2}[/tex]
y is inverse proportional to x. y=16 when x is 1/2. Write an expression for y in terms of x
Answer:
The answer is
[tex]y = \frac{8}{x} [/tex]
Step-by-step explanation:
The above variation is written as
[tex]y = \frac{k}{x} [/tex]
Where k is the constant of variation
y = 16 x = 1/2
[tex]k = yx \\ k = 16 \times \frac{1}{2} \\ k = 8[/tex]
So the expression for y in terms of x is
[tex]y = \frac{8}{x} [/tex]
Hope this helps you.
please help, I will mark the first response as brainiest. Factorising Expressions
Answer:
Factorising is the reverse of expanding brackets Expressions is done by these methods
talking common
making formula
Step-by-step explanation:
i hope this will help you :)
Answer:
Factorising an expression is to write it as a product of its factors. There are 4 methods: common factor, difference of two squares, trinomial/quadratic expression and completing the square.
Hope it will help you!
Step-by-step explanation:
i need help with this please
Answer:
I think it is C
Step-by-step explanation:
because x repeats with diffirent y.
Answer:
the bottom left box
Step-by-step explanation:
because each domain should have only one range to be a function
draw the graph of the equation x+y=5and find the points were the line meets the x axis and y axis
Answer:
Use a graphing calculator.
Step-by-step explanation:
How to solve without a graphing calculator (if it's not allowed):
1) convert x+y= 5 to slope-intercept form. (right now it's in standard form.) We can do this by solving for y.
x+y=5 (subtract x from each side), y= -x +5
2) graph by hand using y=mx+b. From our equation, we can see that m= -1 and b=5. So, graph starting at 5, and go down one, over one, as far as you need to be able to draw the line through your points. Now, you can see that the y-intercept is 5 and the x-intercept is 5.
Which function's graph is shown below?
-5y²+2y=-2 Use the quadratic to solve the equation
Answer:
the answer in the paper
my correction of there ia am error in the my answer
Answer:
[tex]x\in\left\{\dfrac{1+\sqrt{11}}{5}\,;\ \dfrac{1-\sqrt{11}}{5}\right\}[/tex]
Step-by-step explanation:
[tex]-5y^2+2y=-2\\\\-5y^2+2y+2=0\\\\a=-5\,,\ \ b=2\,,\ \ c=2\\\\\Delta=2^2-4\cdot(-5)\cdot2=44\quad\implies\quad\sqrt\Delta=2\sqrt{11}\\\\x_1=\dfrac{-2-2\sqrt{11}}{2\cdot(-5)}=\dfrac{-2(1+\sqrt{11})}{-2\cdot5}=\dfrac{1+\sqrt{11}}{5}\\\\x_2=\dfrac{-2+2\sqrt{11}}{2\cdot(-5)}=\dfrac{-2(1-\sqrt{11})}{-2\cdot5}=\dfrac{1-\sqrt{11}}{5}[/tex]