Answer:
[tex]CD=4 \text{ cm }[/tex]
Step-by-step explanation:
We have a similarity of triangles. Once the side BC and ED are parallel,
[tex]$\frac{BC}{AC} =\frac{ED}{AD} $[/tex]
[tex]$\frac{10}{AC} =\frac{5}{4} $[/tex]
Once [tex]AC=AD+CD \Rightarrow AC=4+CD[/tex]
[tex]$\frac{10}{4+CD} =\frac{5}{4} $[/tex]
[tex]5CD+20=40[/tex]
[tex]5CD=20[/tex]
[tex]CD=4 \text{ cm }[/tex]
Which of the following equations have exactly one solution? Choose all answers that apply:
A -5x+12=-5x-12−5x+12=−5x−12
B -5x+12=5x+12−5x+12=5x+12
C -5x+12=-12x-12−5x+12=−12x−12
D -5x+12=5x-5−5x+12=5x−5
Help plz
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
I have no clue. Somebody help plz!
Answer:
arithmetic, finite
Step-by-step explanation:
Each term is 1 more than the previous term, so there is a common difference of 1. That means the series is arithmetic.
The entire series consists of the 10 terms shown, so the series is finite.
_____
If each term were multiplied by some number to get the next, then it would be a geometric series. If it went on forever, it would be an infinite series.
For the pair of vectors, find U.V.
U=-2i
V=4i
Answer:
8
Step-by-step explanation:
If you want the dot product, here it is: (0)(0) + (-2i)(4i) = 8
PLEASE HELP!!!
Which graph represents the solutions to the inequality |2x - 6| < 10? (5 points)
Answer:
3
Step-by-step explanation:
To do this you would take absolute value so you get [tex]2x+6\leq 10[/tex] then you would subtract 6 from both sides so you get [tex]2x\leq 10[/tex] then you would divide 2 from both sides so you would get [tex]x\leq 2[/tex] so graph 3 would be the write answer
(a) Rita is delivering a pizza to Mark's house. She drives at a constant speed toward the house until she hits a traffic jam and has to stop for several minutes
After, she starts up again and drives at a faster speed than before
(b) chai is driving on the freeway at constant speed. He then speeds up to pass a truck. After passing the truck, he exits the freeway and slows down.
Answer:
A.) Option C
B.) Option A
Step-by-step explanation:
A.) Rita is delivering a pizza to Mark's house. We will assume she is starting from rest as She drives at a constant speed toward the house until she hits a traffic jam and has to stop for several minutes. On the graph, the line will be horizontal as she stop for some time.
After, she starts up again and drives at a faster speed than before. The slope of the latter will be greater than the former.
Since the graph is distance - time graph, the best graphical representation for this illustration is C
B.) The is a speed - time graph.
At constant speed, the graphical line will be horizontal. As Chau speed up, that means he accelerated and increased the speed. The slope of the line will be positive. And finally, as he slow down, the car will be decelerating. The slope of the graph will be negative.
The correct graphical representation for this illustration is A
Which of the following solution sets represent the inequality 3-1/2x ≥10
Answer: x ≤ -14
Step-by-step explanation:
3 - [tex]\frac{1}{2}[/tex]x ≥ 10
1) You want to subtract 3 from both sides of the equation: 3 - [tex]\frac{1}{2}[/tex]x ≥ 10
-3 -3
------------------------
2) Once you subtract 3 from both sides of the equation you'll be able to cancel out 3-3.
3) After, you'll be left with; -[tex]\frac{1}{2}[/tex]x ≥ 7
4) You'll then want to divide both sides by -[tex]\frac{1}{2}[/tex] to isolate x.
5) Divide 7 by -[tex]\frac{1}{2}[/tex]
6) X ≥ -14, but then you'll want to flip the inequality since you divided by a negative.
7) X ≤ -14
Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed by a reflection along line m will cause a ________ rotation. Question 20 options: A) 180° B) 28° C) 56° D) 112°
Answer:
D) 112°
Step-by-step explanation:
Reflection is the process in which a given figure is flipped over a given line or point to produce its image. Thus changing the orientation of the initial figure. Rotation involves the turning of a figure with respect to an origin.
The given question involves composition of two reflections on intersecting lines l and m. When a given point or figure is reflected on two intersecting lines, the process is the same as a clockwise rotation of the point or figure twice the intersecting angle.
The reflection of the given point along l and then m will cause a 112° rotation.
Answer: D
Step-by-step explanation: I took the test and got it right! and also if you insert 112 degrees into the equation it is right
Please Help I will mark Brainliest or whatever Match each function formula with the corresponding transformation of the parent function y = (x - 1)∧2 1. y = ( x - 1) 2 - 3 Reflected over the y-axis 2. y = - ( x - 1) 2 Translated up by 1 unit 3. y = ( x + 3) 2 Reflected over the x-axis 4. y = ( x - 2) 2 Translated down by 3 units 5. y = ( x + 1) 2 Translated right by 1 unit 6. y = ( x - 1) 2 + 1 Translated left by 4 units
Answer:
1 -> D
2 -> C
3. -> F
4. -> E
5. -> A
6. -> B
Step-by-step explanation:
Match each function formula with the corresponding transformation of the parent function y = (x - 1)∧2
1. y = ( x - 1) 2 - 3 A. Reflected over the y-axis
2. y = - ( x - 1) 2 B. Translated up by 1 unit
3. y = ( x + 3) 2 C. Reflected over the x-axis
4. y = ( x - 2) 2 D. Translated down by 3 units
5. y = ( x + 1) 2 E. Translated right by 1 unit
6. y = ( x - 1) 2 + 1 F. Translated left by 4 units
Using the standard transformation rules
f(x) -> a*g(bx-h) + k, we can obtain the following results
Answers:
1 -> D
2 -> C
3. -> F
4. -> E
5. -> A
6. -> B
A basket of fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, and then draw a 2nd piece of fruit from the basket. What is the probability of selecting two oranges in a row from the basket if you are blindfolded?
Answer:
5:12 or 4:11
Step-by-step explanation:
there are a total of 12 pieces of fruit including 5 oranges the first draw then on the second draw there are now 11 total pieces of fruit and 4 oranges
(b) Graph the equation x – 2y = 3
Answer:
Hey there!
Look at the image below ↓
Hope this helps :)
The graph of the given equation x – 2y = 3 is attached below.
How to find the function which was used to make graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it. If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
We are given that the equation as;
x – 2y = 3
Therefore, it can be write as;
-2y = -x + 3
-y = -x/2 + 3
Here the slope is -1/2.
Hence, the graph of the given equation x – 2y = 3 is attached below.
Learn more about finding the graphed function here:
https://brainly.com/question/27330212
#SPJ2
Find the radius of the circle whose equation is (x - 2)2 + (y - 4)2 = 9.
O 81
09
3
Answer:
3
Step-by-step explanation:
(x - 2)^2 + (y - 4)^2 = 9
The equation of a circle is written as
(x-h)^2+ (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x - 2)^2 + (y - 4)^2 = 3^2
The center is ( 2,4) and the radius is 3
Answer:
r = 3
Step-by-step explanation:
The stock equation for a circle of center (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. Comparing this with the given (x - 2)^2 + (y - 4)^2 = 9, we see that r^2 must be 9 and therefore r = 3.
Here are the shopping times in minutes) of a sample of 19 shoppers at a local grocery store.
45, 22, 34, 30, 28, 27, 33, 35, 40, 26, 41, 29, 42, 44, 25, 46, 32, 38, 36
Draw the histogram for these data.
Frequency
Х
6
?
6-
5-
4
3
0
0
0
0
0
0-
22-26
37-41
42-46
27-31 32-36
Times (in minutes)
Answer:
22-26: frequency = 3
27-31: frequency = 4
32-36: frequency = 5
37-41: frequency = 3
42-46: frequency = 4
Which polynomial is equivalent to (2h − 3k)(h + 5k)?
Answer:
[tex]2h^{2} + 7hk - 15k^{2}[/tex]
Step-by-step explanation:
Distribute (2h − 3k)(h + 5k).
2h^2 + 10hk - 3hk - 15k^2
2h^2 + 7hk 15k^2
What is the distance, in units, between P=(−6,8) and Q=(9,8)?
Answer:
15 units
Step-by-step explanation:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(9 - (-6))² + (8 - 8)²]
d = √[(15²) + (0²)]
d = √15²
d = 15
Answer:
15 units
Step-by-step explanation:
9-(-6) = 15
Can someone help me with the question please
Answer:
Purple line: 4
Red dashed line: 2
Blue line: 1/2
Step-by-step explanation:
The purple line is the steepest line, therefore it has the biggest constant of proportionality or slope. Since 4 is the biggest number among the others, we attribute it to the purple line (the one with the point C on it).
Think of it this way:
[tex]y = ax+b \\[/tex]
here [tex]b = 0[/tex] so [tex]y = ax[/tex]
The greater a is, the greater y is. So for any value of x, y will be become bigger and bigger if we increase the value of a.
Take for example this one:
[tex]y = 2x \\[/tex]
Take [tex]x=2\\[/tex] therefore [tex]y =4[/tex]
Now take [tex]y = 4x[/tex] and take [tex]x =2[/tex] therefore [tex]y = 8[/tex]
When we increased this constant of proportionality, as you can see from 2 to 4, the value of y increase from 4 to 8.
Hope this is helpful. Think of it really carefully, and I'm sure you'll grasp the concept.
HELP PLEASE I REALLY NEED THE HELP ON THIS.
for questions 8 and 9, you just need to use a ruler to fine how many inches, centimeters, or millimeters each line segment is. (make sure to properly read the question to see if they’re asking for the measurement in in, cm, or mm.) i won’t be able to give you these measurements because the picture became smaller when you uploaded it, but it shouldn’t be that hard for you!
for question 10, use a ruler to draw and label your own line segment.
on 10a, draw a line segment that is 3 1/4 inches long, then label one end of the segment ‘H’ and one end ‘J’
for 10b, draw a line segment that is 5 7/16 inches long, then label one end of the segment ‘M’ and the other ‘N’.
Which expression is equivalent to ....
Answer:
Its the first answer 24
Please help
calculate the coefficient of x^14y^4 in the expansion of (x+y)^18
Mark decided to donate a lot of his shirts to two different organizations and keep
the rest. First he 1/10 donated of his shirts to his church, and then he donated 2/3 of
what was left to a consignment shop.
1) What fractional part of his shirts did he donate to the consignment shop?
2) What fractional part of his shirts did he keep?
3) If Mark kept 15 shirts, how many shirts did he donate?
(also please help me with drawing a picture that's a fraction to shade in for the problem)
Answer:
1.) 3/5
2.) 3/10
3.) 50
Step-by-step explanation:
i believe my answers are right, they might be wrong. I'm not that old so I can't solve most of these problems.
1.) to get this, you need to multiply the remaining shirts and 2/3
2.) subtract 1/10, and 3/5 from 1, which equals 3/10
3.) is 3/10 is equal to 15, then 1/10 is equal to 5, 5*10=50
Answer:
1) 3/5
2) 3/10
3) 35
Step-by-step explanation:
For majority of the questions, you just have to multiply the numbers together. I think all of them is right... T-T
sry if its wrong.. :|
Suppose that 24 inches of wire costs 72 cents. At the same rate, how much (in cents) will 38 inches of wire cost?
Answer:
114
Step-by-step explanation:
if,
24inches=72cents
38inches=?
we cross multiplication,
38times72=2736 divide with 24=114
The answer is114
Answer:
114............
Step-by-step explanation:
Write an equation of a line that has a y-intercept at (0, -6)
Answer:
[tex]y=x-6[/tex]
Step-by-step explanation:
First to write this equation you will need to know slope intercept form which is the equation that the people that wrote this problem are presumably looking for. Slope intercept form can be simply written as [tex]y=mx+b[/tex] . The variable [tex]m[/tex] would be the slope while the variable [tex]b[/tex] would be the y -intercept.
So to find out this we would have to assume that m or the slope would have to be 1 so we would have [tex]y=1x+b[/tex] or [tex]y=x+b[/tex].
Now we have the first half of the equation we can move on to the variable [tex]b[/tex] or the y-intercept (0,-6) . To find the variable [tex]b[/tex] we will just have to graph the point (0,-6) which as you can see from the picture is the y-intercept and that is -6 units below 0. So the final answer will be [tex]y=x-6[/tex]
Write an expression of 4 less than twice a number
Answer:
2x-4
Step-by-step explanation:
you can't really explain this, is just have the meaning 4 less twice a number.
I wish this is the correct one and will help you!
Answer:
2x-4
Step-by-step explanation:
Destiny and Guadalupe are shopping. Destiny buys 2 pairs of pants and 6 bracelets and pays $178.Guadalupe buys 3 pairs of pants and 2 bracelets and pays $155. Solve for the price of each item.
For the entirety of this problem, p will represent a pair of pants and b will represent a bracelet.
Step 1) Set up equations for Destiny and Guadalupe
Destiny: 178 = 2p + 6b
Guadalupe: 155 = 3p + 2b
I will be using substitution to solve this problem, but elimination can also be used.
Step 2) Solve Destiny's equation for p
178 = 2p + 6b
178 - 6b = 2p
89 - 3b = p
Step 3) Substitute the found value of p from Destiny's equation into Guadalupe's equation and solve for b
155 = 3(89 - 3b) + 2b
155 = 267 - 9b + 2b
155 = 267 - 7b
-7b = -112
b = 16
Step 4) Use the value of b found in step 3, plug that back into our equation from step 2 and solve for p
89 - 3(16) = p
89 - 48 = p
p = 41
one pair of pants = $16
one bracelet = $41
Hope this helps!! :)
Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete. A 2-column table with 2 rows. The labels for the columns and rows are blank. First column entries are 4 x squared, M Subscript 2 Baseline. Second column entries are M Subscript 1 Baseline, negative 5. Which terms should Paul write in squares M1 and M2? 5x and −4x –5x and 4x –2x and 10x 2x and −10x
Answer:
5x and -4x
Step-by-step explanation:
Paul wants M₁ and M₂ to have a total that is +x, and a product that is -20x². The values of M₁ and M₂ that will do that are ...
5x and -4x
Answer:
A. -5x and 4x
:)
Hope this helps!
Good luck yalls
fleur wants to make tables and chairs. She has a total of 150 wooden boards and 330 nails. 17T + 6C ≤ 150 represents the number of tables T and chairs C she can make with 150 Wooden boards. 34T + 27C ≤ 330 represents the number of tables and chairs she can make with 330 nails. Does Fleur have enough boards and nails to make 3 tables and 9 chairs? Choose 1 answer: (Choice A) Fleur has enough boards and nails. (Choice B) Fleur has enough boards but not enough nails. (Choice C) Fleur has enough nails but not enough boards. (Choice D) Fleur has neither enough boards nor enough nails.
Answer::
Choice B : fleur has enough boards but not enough nails
Answer:
Fleur has enough boards but not enough nails.
Step-by-step explanation:
T = 3
C = 9
substitute
help I need the answer
Answer:
18.9 ft²
Step-by-step explanation:
Surface area of this cylinder = area of the bottom and top circles + area of the curved surface.
Area of the two circles = 2πr² , where r is the radius.
Area of the curved surface = 2πrh , where r is the radius and h is the height.
Radius = [tex]\frac{1}{2}[/tex] × diameter
Area of the two circles = 2 × π × ([tex]\frac{2}{2}[/tex])² = 6.3 ft² (answer rounded up to nearest tenth)
Area of the curved surface = π × diameter × h = π × 2ft × 2ft = 12.6 ft² (answer rounded up to nearest tenth)
The surface area of the cylinder = 6.3 ft² + 12.6 ft² = 18.9 ft²
Answer:
18.85 to be exact
Step-by-step explanation:
pls mark brainliest
If water flows 12 feet in 9 seconds through the turbine, how far will the water flow in 54 seconds? If the water continues to flow at this rate, how long will it take the water to travel 54 feet?
Answer:
40.5 sec
Step-by-step explanation:
The flow rate is (12 ft) / (9 sec), or 4/3 ft/ sec.
In 54 sec, the water will have moved
(4/3 ft/sec)(54 sec) = 72 ft.
If the flow rate is 4/3 ft/sec and the distance covered is 54 ft, we divide
54 ft by (4/3 ft/sec) to determine how long it takes the water to flow 54 ft:
54 ft
---------------- = 40.5 sec
(4/3 ft/sec)
Which expression is equivalent to *picture attached*
Answer:
[tex]\sum_{n=3}^{20}(n(n+1))=\sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n[/tex]
Step-by-step explanation:
Given expression : [tex]\sum_{n=3}^{20}(n(n+1))[/tex]
Solving further :
[tex]\Rightarrow \sum_{n=3}^{20}(n^2+n)[/tex]
[tex]\Rightarrow \sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n[/tex]
So, [tex]\sum_{n=3}^{20}(n(n+1))=\sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n[/tex]
So, The given expression is equivalent to Option A
So, Option A is the answer
EARTH SCIENCE The order of magnitude of the mass of Earth's
atmosphere is 1018 kilograms. The order of magnitude of the mass of
Earth's oceans is 109 times greater. What is the order of magnitude of the
mass of Earth's oceans?
Answer:
1021
Step-by-step explanation:
1018×103=1018+3=1021
FIRST GETS BRAINLLEST A bag contains 150 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 9 red marbles, 15 green marbles and 6 blue marbles. Predict how many red marbles are in the bag.
Answer:
45 red marbles
Step-by-step explanation:
Okay, so the ratio is 9:15:6. We add that up and we get 30. We do 150/30 and get 5. Each number in the ratio is equal to 5. We do 9*5=45.
Answer:
45 red marbles
Step-by-step explanation:
Out of the 30 marbles picked, 9 were red so that's 3/10 of the smaller sample. If you take 3/10 of 150 to get the value of the larger sample, you will get 45 marbles.