Answer:
5) 4а²+8ас=4а(а+2с)
6) 3m²-6mn=3m(m-2n)
7) ab-ac+yb-yc=a(b-c)+y(b-c)=(a+y)(b-c)
8) ab+ac+xb+c=b(a+x)+c(a+1)
The sets A and L are given below.
A = (a, b, e}
L={c, k,j}
Find the intersection of A and L.
Find the union of A and L.
Write your answer using notation (in roster form)
Help plzzz
Step-by-step explanation:
A n L =null
A U L= a,b,c,e,k,j
Write the quotient as a single power?
[tex]\frac{7^4}{7^0}[/tex]
7^4/7^0
= 7^4/1 (n^0 = 1)
= 7^4
Must click thanks and mark brainliest
c) Workout using factorization. Show all your working. 9.9²- 0.1²
Answer:
98
Step-by-step explanation:
1) You shulduse the formula x^2-y^2= (x-y)(x+y)
That obvious, that 9.9 is considered as x, and 0.1 as y
2) So 9.9²- 0.1²= (9.9-0.1) * (9.9+0.1)=9.8*10=98
help mee pls plss fast
Difference between a 1 inch button and ⅜ inch button
[tex] = 1 \: inch - \frac{3}{8} \: inch \\ = \frac{8}{8} \: inch - \frac{3}{3} \: inch \\ = \frac{(8 - 3)}{8} \: inch \\ = \frac{5}{8} \: inch[/tex]
Answer:
5/8
Step-by-step explanation:
To determine the difference, we do:
1 - 3/8
8/8 - 3/8
5/8
A 1 inch button is 5/8 inches longer than a 3/8 inch button.
7) The sum of the page numbers of two facing pages of a book is 85. What are the page numbers of two facing pages of the book. If the sum is not given, but the product is given to be 1806, how will you find the page numbers?
Answer:
42 and 43.
Step-by-step explanation:
This problem can be solved just by knowing the sum of the page numbers, as page numbers on the same face are always one digit apart. Thus we can take 85, subtract 1, divide by 2, and then get 42,42, and add 1 back to the second-page number.
To check our work we can multiply 42*43 to get 1806.
A=E
BCE=90
BF=AC
AC=EC
==========================================================
Explanation:
HL stands for Hypotenuse Leg. This rule works only for right triangles.
So we must have two hypotenuses that are congruent, and we must have two legs that are congruent
The diagram shows that AB = DE are the congruent hypotenuses. So we have "H" taken care of. We just need the "L" portion.
We can see that only choice D works, which is AC = EC. If we knew that AC and EC were the congruent legs, then we have enough info to use HL.
Create a triangle ABC of your choice. Using GeoGebra tools, construct the angle bisectors of ∠A and ∠B. Mark the intersection point of the angle bisectors, and label it point D.
Create a line through point D perpendicular to .
Find the intersection of line segment and the perpendicular line, and label it point E. With point D as the center, create a circle passing through point E.
Measure and label the radius of the inscribed circle of ΔABC on the diagram.
Take a screenshot of your result, and paste it below.
The steps to create attached screenshot of the inscribed circle of triangle ΔABC using GeoGebra tools includes;
1) Clicking on the Geometry link, under Powerful Math Apps group
2) On the opened Geometry page click on the Polygon icon and follow the instructions that come up, which is Select all vertices and then the first vertex (selected) again (a second time)
3) Once the triangle is created, select the Angle Bisector icon, under the Construct group; A message will appear, asking to Select three points or two lines, select three vertex, of the triangle created with a mouse click, with the vertex A in the center, such as BAC, or CAB a straight line representing the angle bisector of angle ∠A is created
4) Repeat the above to create the angle bisector of angle ∠B
5) Click on the Point button under the Basic Tools group, then click on the intersection of the two angle bisectors created above, the point will be automatically labelled point D
6) Click on the Perpendicular Line, icon under the Construct group, then click on point D, and then the line AB to draw the perpendicular from D to AB
7) Click on the point Point icon and then the intersection point of the perpendicular from D and AB to label the point E
8) Click on the Circle with Center basic tool and then points D and E above, to create the inscribed circle of triangle ΔABC
9) Select the Segment tool, then select the center of the circle and a point
on the circumference. Click on the label, from the pop up options, select
the label option AA then change the label of the segment created to Radius
and select Show Label and Show Value. The inscribed circle of ΔABC created with GeoGebra tools is attached
Learn more about GeoGebra hear;
https://brainly.com/question/10400398
Answer:
Step-by-step explanation: from edmentum
Planes T and X are parallel. Plane T contains line a. Plane X contains line b. Planes T and X are parallel. Plane T contains line a and plane X contains line b. Which best explains the relationship between lines a and b? They are skew and will never intersect. They are parallel and will never intersect. They are perpendicular and will intersect. They will intersect at two points.
Answer:
The answer is "They are skew and will never intersect".
Step-by-step explanation:
Please find the graph file in the attachment.
In the given scenario, since the two lines are neither parallel nor intersect, these are skewed. Each line will be in a parallel plane, therefore prevents them from crossing each other. Parallel indicates traveling in the same direction, but not converging or diverging.
Answer:
A or ,They are skew and will never intersect.
Step-by-step explanation:
edge 2021
how do you solve for y?
What is the equation of the line passing through the points (2, -1) and (5, -10) in slope-intercept form? O y=-3x-5 O y=-3x+5 O Y= 3x-5 O y = 3x + 5
Answer:
y= -3x+5
Step-by-step explanation:
firstly find the gradient given by the formula
m=y2-y1/x2-x1
so in this case y2 is -10,x2 is 5,y1 is -1 and x1 is 2
m= -10+1/5-2
m= -9/3
= -3
after finding the gradient use the equation
y-y1=m( x-x1)
y+1= -3(x-2)
y+1= -3x+6
y= -3x+6-1
y= -3x+5
I hope this helps
Can someone help me with all 3
Answer:
1) 20
2) 60
3) 10
4) 90
Step-by-step explanation:
1. first quartile is the beginning of the box
2. third quartile is the end of the box
3. lowest is the first point of the graph
4. vice versa of 3
I’ve been stuck on this for 3 days today is the last day please help me guys
y = x^2 - 2x - 3
Factored Form: y = (x - 3)(x + 1)
X-Intercepts: (3, 0) and (-1, 0)
Axis of Symmetry: x = 1
Vertex: (1, -4)
Domain: All Real Numbers (or negative infinity to infinity)
Range: y > -4
Hope this helps!
Is it the answer option D?
Answer:
D
Step-by-step explanation:
graph it
On Saturday, the fruit and juice bar was selling 22 glasses of fruit punch an hour. By 4 p.m., they had sold 132 glasses. If their goal was to sell more than 264 glasses of fruit punch, which inequality can be used to find h, the number of hours they must stay open to make their goal?
A. 132 + 22h > 264
B. 22h < 264 + 132
C. 132 + 22h < 264
D. 132 + 264 > 22h
Answer:
A. 132 + 22h > 264
Step-by-step explanation:
Hourly sales = 22 glasses of fruit punch
Sales by 4 p.m = 132 glasses
Goal = more than 264 glasses
h = number of hours they must stay open to make their goal
The inequality:
132 + 22h > 264
22h > 264 - 132
22h > 132
h > 132/22
h > 6 hours
This means, the number of hours they must stay open to make their goal of more than 264 glasses is more than 6 hours
Prachi was 555 kilometers east of her home when she began driving farther east at 707070 kilometers per hour. Let f(n)f(n)f, left parenthesis, n, right parenthesis be Prachi's distance from her home at the beginning of the n^\text{th}n th n, start superscript, start text, t, h, end text, end superscript hour of her drive.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Whenever she began to drive farther east, at 70 km per hour, Prachi was 5 km east of her home.
Let f(n) at the beginning of her nth hour drive be Prachi's distance to her home.
f is a sequence of arithmetic.
Write a series explicit form.
[tex]\to f(n) = 70n + 5[/tex]
Answer:
Arithmetic Sequence, f(n)=5+70(n-1)
Step-by-step explanation:
checked on khan
A watch seller gained 20% by selling a watch for rupees 1260. what was its cost price and if we add gain 30% at what price should have it sold
Answer:
1365 rupees
Step-by-step explanation:
1. Approach
The easiest method to solve this problem is via the method of proportions. One can use a proportion to find the original price of the watch. Then one can find the price of the watch if the watch had a (30%) mark up, by using a proportion.
2. Find the original price
Remember, the general format of a proportion is the following:
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
The following information is given:
The watch sold for (1260) rupees which is (120%) of the original price. Remember, there was a (20%) gain, meaning that the seller recovered (120%) of the price, in essence, the price of the watch, plus (20%) extra, thus (120%). Substitute these values into the proportion and solve,
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
[tex]\frac{1260}{total}=\frac{120}{100}[/tex]
Simplify,
[tex]\frac{1260}{total}=\frac{120}{100}[/tex]
[tex]\frac{1260}{total}=\frac{6}{5}[/tex]
Cross product,
[tex]\frac{1260}{total}=\frac{6}{5}[/tex]
[tex](5)(1260)=(6)(total)[/tex]
Simplify,
[tex](5)(1260)=(6)(total)[/tex]
[tex]6300=6*total[/tex]
Inverse operations,
[tex]6300=6*total[/tex]
[tex]1050=total[/tex]
3. Find the price if the mark up is (30%)
Now, one knows the original price of the watch. Set up a proportion to find the price of the watch if there is a (30%) mark up. Use the same logic to set up this proportion as was used to set up the last one. The (percent) will be (130%) because the new price of the watch is (130%) of the original watch.
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
Substitute,
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
[tex]\frac{part}{1050}=\frac{130}{100}[/tex]
Simplify,
[tex]\frac{part}{1050}=\frac{130}{100}[/tex]
[tex]\frac{part}{1050}=\frac{13}{10}[/tex]
Cross products,
[tex]\frac{part}{1050}=\frac{13}{10}[/tex]
[tex](10)(part)=(13)(1050)[/tex]
Simplify,
[tex](10)(part)=(13)(1050)[/tex]
[tex]10*part=13650[/tex]
Inverse operations,
[tex]10*part=13650[/tex]
[tex]part=1365[/tex]
Thus, the price after the (30%) is (1365) rupees.
COULD SOMEONE PLEASE HELP ME (PICTURE) ITS URGENT MARKING BRAINLIEST 15 POINTS
Select 2 strategies that we can use to subtract 563-192
A. Add 100 + 90 + 2
B. Evaluate (563 - 200) + 8
C. Subtract 571 - 200
Answer:
B and C
Step-by-step explanation:
A = 192
B = (563 - 200) + 8 = 371
C = 571 - 200 = 371
Can someone verify if this is correct?
I used cosec because the others didn’t work
Point A (-6, 2) and B (4, k) lie on a line that has a slope of 3/5 Determine the value of K
Answer:
k=8
Step-by-step explanation:
We can solve using the slope formula
m= (y2-y1)/(x2-x1)
3/5 = (k-2)/(4- -6)
3/5 = (k-2)/(4+6)
3/5 = (k-2)/10
Multiply each side by 10
10*3/5 = (k-2)/10 *10
6 = k-2
Add 2 to each side
6+2 = k-2+2
8 = k
∫(x+1)/(x2+2)2x−3dx need help with this question. can you show the process
do you need to include the wiggle infront of the first bracket? if not;
(x+1) ÷ [(x^2+2) x (2x-3dx)]
x^2 x 2x = 2x^3
x^2 x -3dx = -3dx^3
2 x 2x = 4x
2 x -3dx = - 6dx
i cant find a way to make it equal 0 so i think the answer is just
x+1 over 2x^3 - 3dx^3 + 4x - 6dx as a fraction
What number :
Decreased by 0% is 800 ?
Answer:
800
Step-by-step explanation:
0℅ decrease of 800=800
I NEED HELP ASAP
question is in picture
I will mark you as BRAINLIEST Please help me out here!!
Step-by-step explanation:
C1:
The pattern for this: you add 1/2 every time.
C2:
3, 3 1/2, 4, 4 1/2
C3:
5 1/2
C4:
The 14th
C5:
10
D1:
You add twice as more than you did before, starting at 3.
D2:
48, 96, 192, 384
D3:
192
D4:
The 9th
D5:
384
Hope this all helps.
Answer:
C)
1) As the sequence progresses, each term in the sequence increases by 1/2. 2) 3 ; 3 1/2 ; 4 ; 4 1/2
3) The 10th term in the sequence is 5 1/2.
4) 7 1/2 is the 14th term in the sequence.
5) The 17th term is 9.
D)
1) As the sequence progresses, each term multiplies by 2.
2) 48 ; 98 ; 192 ; 384
3) The 7th term in the sequence is 192.
4) 768 is the 9th term in the sequence.
5) The 8th term in the sequence is 384.
Step-by-step explanation:
FOR C : 1 + 1/2 = 1 1/2, 1 1/2 + 1/2 = 2, 2 + 1/2 = 2 1/2, and so on. This pattern tells me the rule of the sequence. Continue this sequence to answer 1, 2, 3, 4, and 5.
FOR D: 3 x 2 = 6, 6 x 2 = 12, 12 x 2 = 24, and so on. This pattern tells me the rule of the sequence. Continue this sequence to answer 1, 2, 3, 4, and 5.
sequence of number - 25,23,20,16
find next three term
do with process
Answer:
11,5,-2
is the answer. I hope it will help you.
A DVD player was marked down by 30 percent from its original price of $75. Including a 7 percent sales tax, what is the final cost of the DVD player?
Answer: its going to be 3 dollars and 67 cents
Step-by-step explanation:
A group of rowdy teenagers near a wind turbine decide to place a pair of
pink shorts on the tip of one blade. They notice that the shorts are at its
maximum height of 16 metres at t = 10 s and its minimum height of 2 metres at
t = 25 s.
a) Determine the equation of the sinusoidal function that describes
the height of the shorts in terms of time.
b) Determine the height of the shorts at exactly t = 10 minutes, to
the nearest tenth of a metre.
Answer:
a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is [tex]y = 9 + 7* sin(\pi * t / 15 - \pi / 6)[/tex]
b) Hence the height of the shorts at exactly t = 10 minutes, to
the nearest tenth of a meter is 5.5 meters
Step-by-step explanation:
a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :
[tex]x^2 + (y-yc)^2 = R^2[/tex] ,
where
R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)
= 14 m / 2
= 7 m (radius of the circle)
Also, center of the circle will be at (0, 2 + R) i.e (0,9)
So, is the trajectory path equation to the circle
Let [tex]x = 7* cos(w*t + \phi ) & y = 9 + 7* sin(w* t + \phi)[/tex] be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t
At t= 10s, y = 16 m so we have,
[tex]9 + 7 * sin(10* w + \phi) = 16[/tex] ---------------(1)
Also, at t= 25s, y =2 m so we have,
[tex]9 + 7* sin(25 * w +\phi) = 2[/tex]--------------(2)
Solving we have, [tex]10* w + \phi = \pi/2 & 25*w + \phi = 3*pi/2[/tex]
[tex]15* w = \pi\\\\w = \pi/15 & \phi = \pi/2 - 10*\pi/15 = -\pi / 6[/tex]
Therefore [tex]y = 9 + 7* sin(\pi * t / 15 - \pi / 6)[/tex] is the instantaneous height of the pink short at time t ( in seconds)
b) At t= 10minutes = 10 * 60 s = 600s, we have,
[tex]y = 9 + 7 * sin(\pi * 600/15 - \pi / 6)\\\\= 9 + 7 * sin(40* \pi - \pi / 6)[/tex]
= 5.5 meters (pink short will be at 5.5 meters above ground level at t= 10 minutes)
find the missing side. Round it to the nearest tenth.
Answer:
19.1
Step-by-step explanation:
Answer:
x ≈ 19.1
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos33° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{16}{x}[/tex] ( multiply both sides by x )
x × cos33° = 16 ( divide both sides by cos33° )
x = [tex]\frac{16}{cos33}[/tex] ≈ 19.1 ( to the nearest tenth )
Which function is the inverse of h(x) = 18x+7/3 ?
Question 10 options
Answer:
Out of those choices, the answer in the first image makes the most sense
Find the length of the third side .
Answer:
a^2 + b^2 = c^2
4+16 = c^2
20 = c^2
c = [tex]\sqrt{20}[/tex] = [tex]2\sqrt{5}[/tex]
Step-by-step explanation: