Answer:
10bb + 22tt ≥ 190
8) Find the endpoint Cif M is the midpoint of segment CD and M (2, 4) and D (5,7)
a) (-3,-3) b) (-2,-1) c) (-1,1) d) (2,4)
Answer:
8. c. (-1, -1)
9. a. (-6, -1)
b. True
Step-by-step Explanation:
8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:
let [tex] D(5, 7) = (x_2, y_2) [/tex]
[tex] C(?, ?) = (x_1, y_1) [/tex]
[tex] M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2}) [/tex]
Rewrite the equation to find the coordinates of C
[tex] 2 = \frac{x_1 + 5}{2} [/tex] and [tex] 4 = \frac{y_1 + 7}{2} [/tex]
Solve for each:
[tex] 2 = \frac{x_1 + 5}{2} [/tex]
[tex] 2*2 = \frac{x_1 + 5}{2}*2 [/tex]
[tex] 4 = x_1 + 5 [/tex]
[tex] 4 - 5 = x_1 + 5 - 5 [/tex]
[tex] -1 = x_1 [/tex]
[tex] x_1 = -1 [/tex]
[tex] 4 = \frac{y_1 + 7}{2} [/tex]
[tex] 4*2 = \frac{y_1 + 7}{2}*2 [/tex]
[tex] 8 = y_1 + 7 [/tex]
[tex] 8 - 7 = y_1 + 7 - 7 [/tex]
[tex] 1 = y_1 [/tex]
[tex] y_1 = 1 [/tex]
Coordinates of endpoint C is (-1, 1)
9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:
let [tex] A(-2, -9) = (x_2, y_2) [/tex]
[tex] B(?, ?) = (x_1, y_1) [/tex]
[tex] M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2}) [/tex]
[tex] -4 = \frac{x_1 - 2}{2} [/tex] and [tex] -5 = \frac{y_1 - 9}{2} [/tex]
Solve for each:
[tex] -4 = \frac{x_1 - 2}{2} [/tex]
[tex] -4*2 = \frac{x_1 - 2}{2}*2 [/tex]
[tex] -8 = x_1 - 2 [/tex]
[tex] -8 + 2 = x_1 - 2 + 2 [/tex]
[tex] -6 = x_1 [/tex]
[tex] x_1 = -6 [/tex]
[tex] -5 = \frac{y_1 - 9}{2} [/tex]
[tex] -5*2 = \frac{y_1 - 9}{2}*2 [/tex]
[tex] -10 = y_1 - 9 [/tex]
[tex] -10 + 9 = y_1 - 9 + 9 [/tex]
[tex] -1 = y_1 [/tex]
[tex] y_1 = -1 [/tex]
Coordinates of endpoint B is (-6, -1)
b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.
Marshall began making a grilled cheese sandwich at 6:13 P.M. The sandwich was ready at 6:24 P.M. How long did it take Marshall to make the sandwich?
Given: g(x) = 3x² + 2 and h(x) = 2x + 2
Find: g(h(x))
Step-by-step explanation:
g(x) = 3x² + 2
h(x) = 2x + 2
g(h(x)) = g([2x + 2]) = 3[2x+2]² + 2
= 3[4x² + 8x + 4] + 2
= 12x² + 24x + 12 + 2
= 12x²+ 24x + 14
Paul took 6 blocks and arranged them in a pile. If each block is 4 inches in height. How many feet high is the pile that Paul made?
Answer:
The pile is 2 feet high.
Step-by-step explanation:
There are 6 blocks, each block is 4 inches in height. That means the total height is:
6×4=24 inches
Because the question asked for the answer in feet, you have to convert the 24 inches into feet:
24 inches=2 feet
what is the irrational number between 2.8888... and 2.9999...?
Answer:
[tex]\sqrt{8.5}[/tex]
Step-by-step explanation:
[tex]\sqrt{8.5}=2.9154759474226502354370764387727915382606991674429859772250...[/tex]
that's clearly between 2.888888.... and 2.999999....
match eith the appropiate property:
Answer:
Commutative property of multiplication.
Step-by-step explanation:
This property says that changing the order of factors doesn't change the product.
Here 5×3 will be 15..... If we interchange the places of 3 & 5 , still then the product will remain same i.e. 3×5 = 15
Kai is making a chessboard using pieces of wood that measure 1sq in when she finishes the chessboard well have an area of 64 sq in how many pieces of wood should he put along each side
Answer:
8 pieces of wood should be put along each side of the chessboard
Step-by-step explanation:
Here in this question, we are interested in knowing the the number of pieces of wood that should be put along each side of the cheese board.
Firstly, to know the number of pieces of wood to use, we need to divide the area of the board by the area of each piece of wood
Mathematically that would be 64 square inches/ 1 square inch = 64 pieces of wood
64 pieces of wood would be needed to complete the cheeseboard.
The number of pieces to put along each side of the cheese board will be √64.
This is because the shape of a chessboard is square.
Thus the number of pieces to put on each side will be √64 = 8
PLEASEEE HELP MEEE!❤️
The quotient of six and the sum of a number and eight
Answer:
6
——
x+8
Step-by-step explanation:
The quotient of six (6) and the sum of a number and eight (8) is equal to [tex]\frac{x + 8}{6}[/tex]
Let the unknown number be x.
In Mathematics, quotient simply means to divide a number by another number without any remainder.
Translating the word problem into an algebraic expression, we have;
The sum of a number and eight = [tex]x + 8[/tex]
Quotient of six (6) and the sum of a number and eight (8) is equal to;
[tex]\frac{x + 8}{6}[/tex]
In conclusion, the quotient of six (6) and the sum of a number and eight (8) is equal to [tex]\frac{x + 8}{6}[/tex]
Find more information: brainly.com/question/21449543
help me i need a lot of help thank you branly
Answer:its b) 19
4xl-7l-l-9l
=4x7-9
=28-9
=19
determine which of the following relation is a function
Answer: IT is A and C
Reduce the final answer, [tex]\frac{22+4}{44+16}[/tex]
this is equivalent? TRUE OR FALSE.
Step-by-step explanation:
yes of course...
just like
saying 2=x is equivalent to x=2
similarly x<3 is equivalent to 3>x
ONLY DO #10-29
13 points!! WILL MARK AS BRAINLIST
Answer:
same as ramen said #13
hope you pass♡
Could someone please help me with 1 and 2 please
Answer:
1. 1,2 2,3 ,3,4, 4,5, 5,6
2.-2,1 -1,-1 0,-2 1,-1 2,1
Step-by-step explanation:
What is the length of the line?
the answer is c because it’s not an exact number, but it’s still reasonable considering it’s greater than 6 but still less than 7
A T-shirt shop charges $15 for an adult shirt and $12 for a youth shirt. The total charge for a shirt order was $489.
Which equation can be used to represent x, the number of adult shirts sold and y, the number of youth shirts sold?
12x + 15y = 489
27x + 15y = 489
15x + 12y = 489
15x + 3y = 489
Answer: C. 15x + 12y = 489
Step-by-step explanation: Got it right on edge test
Answer:
C
Step-by-step explanation:
15x+12y=489
A family has a gross monthly income of $4395. Their monthly home mortgage payment is $1896. In general,
lenders follow the "28 percent rule", meaning no more than 28 percent of your gross income should go towards
your mortgage. Is this family within the recommended guidelines or are they spending too much for their home?
Explain your answer.
The weights of 18 students are given below. Find the mode and range weight.
Answer:
Mode: 42 Range: 9
Step-by-step explanation:
First, I used trial and error to find the value of x which I found out was 2. Next, I found out how many people were in each weight category. Then, I put the numbers in order from least to greatest which gave me 33,33,35,35,35,37,37,37,37,39,39,39,39,42,42,42,42,42. After that, I found the number that showed up the most in this set of data which is the mode. Finally, I subtracted the smallest number(33) from the greatest number(42) and got 9 which is the range.
POSSIBLE POINTS: 10
Dean is making a phone call with a calling card. The calling card charges $3.00 for the first five minutes and 50.25 for each extra minute (or
part of a minute).
1. Find the cost of a 10 minute call on this phone
2. Find the cost of a 15.5 minute call on this phone
Step-by-step explanation:
I'm going to assume 50.25 was a typo error and it is $0.25 for each extra minute.
For a 10 minute phone call, the first 5 minutes cost $3 and the other 5 minutes cost $0.25 * 5 = $1.25. Altogether it costs $4.25.
For a 15.5 minute phone call, the first 5 minutes cost $3 and the other 10.5 minutes cost $0.25 * 11 = $2.75. Altogether it costs $5.75.
Answer:
1 = 100. 50 2 = 65 . 30
Step-by-step explanation:
just add extra minutes and mins to call okkk
Ms. G, Mr. Adams, and Ms. Leahman are going for a bike ride together on Saturday. They want to meet each other in the city but they all live in Bedstuy. Ms. G and Ms. Leahman have to bike 4 miles there, Mr. Adams is 5 miles away. They meet each other in the city and bike 2 miles together. Then they all return home the same way. How many miles did they all bike in total on Saturday?
Answer: 22 miles
Step-by-step explanation: Ms. G and Ms. Leahman both bike the same amount on Saturday:
4 miles to go to the city;
2 miles with Mr. Adams;
4 miles back to Bedstuy;
Then, both biked:
4 + 2 + 4 = 10 miles
Now, Mr. Adams bikes:
5 miles to go to the city;
2 miles together with the other two;
5 miles back to Bedstuy;
Then, he biked, in total:
5 + 2 + 5 = 12miles
So, the three of them biked, in total:
10 + 12 = 22
On Saturday, Ms. G, Mr. Adams and Ms. Leahman biked, in total, 22 miles.
Help please!! Thank you
Antointette puts the letters of her name inside a bag and picks one letter at random what is the probability that Antoinette picks a vowel
Answer:
5/11 or 0.4545
Step-by-step explanation:
I think this is correct you just count how , many letters she has in her name (that's gonna be our denominator) and then count how many of those are vowels (our numerator). to change it into a decimal you simply divide the top by the bottom.
One bus averages 58 mi/h, and the other bus averages 54 mi/h. When will they be 365 miles apart?
Answer:
T=3.3 HOURS AFTER THEY LEAVE THEY WILL BE 363 MILES APART
Step-by-step explanation:
internet
Please explain the answer! Will give brainliest :)
We can see that the diagonal distance from the fire pit to the tree is 6 units, if you count, with a slope of 1, meaning that we only have to stay on that diagonal.
A third of 6 is 2, so we'll just go 2 units in that diagonal, putting us at the point [tex](4,3)[/tex].
Hope this helps.
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Name the plane represented by the front of the box.
B
JE
F
K
ODBF
GBF
ОСАВ
BJC
Answer:
not sure
Step-by-step explanation:
not sure what you're trying to show?
3. A recipe for shortbread cookies calls for 5 grams of butter to make 12 cookies.
How many deci-grams will there be in 60 cookies?
Answer:
250 i thoink
Step-by-step explanation:
For making 60 cookies the amount of butter will be 250 decigrams.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a recipe for shortbread cookies calls for 5 grams of butter to make 12 cookies.
The amount of butter for 60 cookies in decigrams will be calculated as,
12 cookies = 5 grams
12 cookies = 50 dg
60 cookies = ( 50 x 60 ) /60
60 cookies = 250 dg
To know more about an expression follow
https://brainly.com/question/11311384
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A triangle has sides 6cm, and 7cm, use Pythagorean Theorem to figure out its hypotenuse.
Answer: 9.22M
Step-by-step explanation:
Simplify 3(x + 9) - (x - 6)
A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work? (i dont get this one, please explain :)
Answer:
35 days
Step-by-step explanation:
A = 14 days
It means per day, work done by A= 1 / 14
A+B = 10 days
Work done by A and B per day = 1 / 10
In what time can B alone do the work?
To solve this, we have
A+B = A alone + B alone
1/10 = 1/14 + B alone
Subtract 1/14 from both sides
1/10 - 1/14 = 1/14 + B alone - 1/14
14-10/140 = B alone
4/140 = B alone
B alone= 1 / 35
Work done of B alone = 1/35
B alone will do the work in 35 days
Answer:
35 days.
Step-by-step explanation:
A can do the work in 14 days: per day work done by A=1/14
A and B can do the work in 10 days: per day work done by A and B=1/10
Work is done by B per day=1/10–1/14=7/70-5/70=(7–5)/70=2/70=1/35.
So, B takes 35 days.