Answer:
[tex]MP= (4.5,2)[/tex] another way of writing [tex]MP= (\frac{9}{2}, 2)[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2})(\frac{y_1+y_2}{2})[/tex]
[tex]MP= (\frac{7+2}{2})(\frac{0+4}{2})[/tex] 7+2=9 0+1=1
[tex]MP= (\frac{9}{2})(\frac{2}{2})[/tex] MP= (4.5,2)
The coordinates of the mid - point of XY will be - M(4.5, 2)
We have two coordinate points - X(7, 0) and Y(2, 4).
We have to find the coordinates of the mid - point of the line segment XY.
What is Mid - Point Theorem?It states that a line with endpoint coordinates as - [x(1), y(1)] and
[x(2), y(2)] has its mid - point at the coordinates -
[tex]$x(m) =\frac{x(1)+x(2)}{2}[/tex]
[tex]$y(m) = \frac{y(1)+y(2)}{2}[/tex]
According to question, we have -
Assume that the coordinates of Mid - Point = M(h, k)
Coordinates of X= (7, 0)
Coordinates of Y= (2, 4)
Using the Mid - Point formula -
h = [tex]\frac{7+2}{2}[/tex] = 4.5
and
k = [tex]\frac{0+4}{2}[/tex] = 2
Hence, the coordinates of the mid - point of XY will be - M(4.5, 2)
To solve more questions on Mid - points, visit the link below -
brainly.com/question/25377004
#SPJ2
what is the square of 3844
Answer:62
Step-by-step explanation:
62^2
Change the following rate into a unit rate: $12/6 burgers.
Answer:
$2/1 burger
Step-by-step explanation:
You have to divide the number that can divide into both the most which means twelve divided by 6 is two and 6 divided by 6 is 1 which means $2/1
A car of mass 100 kg is moving with a velocity of 10 m/s on a road when it collides with a bus weighing 150 kg which is at rest. If both the vehicles start drifting together after the collision, find the velocity with which they are moving now?
Answer: they would be moving 15m/s
Step-by-step explanation:
10m/s times 150kg= 1500divided by 100kg=15m/s
simplify (3x^5)^2 please !!
Answer:
[tex]9x^{10}[/tex]
Step-by-step explanation:
[tex](x^a)^b=x^{ab}[/tex]
so
[tex](3x^5)^2=9x^{10}[/tex]
someone help me find the answer
The coordinates of M ⇒ (-6,0)
N ⇒ (-3,2)
Distance formula ⇒[tex]\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2}[/tex]
Plugging in those values gives us an answer of [tex]\sqrt{13}[/tex]
Let me know if you want to see more work!!!
:)
Complete the table and find the balance A if $5000 is invested an an annual rate of 6% for 15 years and compounded n times a year
Answer:
1: 11982.79
2: 12136.31
4: 12216.09
12: 12270.46
365: 12297.10
Step-by-step explanation:
The compound interest formula is A=P*(1+r/n)^nt
P=principal amount
r=rate
n=number of compounds per period
t=number of periods
In this situation, the principal amount is 5,000=P. The rate is 6%, so r=0.06. n is equal to the top number in the table. And this is 15 years, so t=15.
For 1, it would be A=5,000*(1+.06/1)^1*15, or A=5,000(1.06^15), or 11982.79.
For 2, it would be 5,000*(1+.06/2)^2*15, or 5,000*(1.03^30), or 12136.31.
And so forth. Good luck
The cafeteria wants to buy 4,500 new forks. If each package contains 90 forks, how many packages should the cafeteria buy?
Answer:
50
Step-by-step explanation:
4,500÷90=50
and to check
90×50=4500
If 2x-3y+5-(x-3y)=11-2x, what is the value of x?
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]2x-3y+5-\left(x-3y\right)=11-2x[/tex]
Remove brackets and flip the sign in the brackets:
[tex]2x-3y+5-x+3y=11-2x[/tex]
Group the similar terms together:
[tex]-3y+3y+2x-x+5=11-2x[/tex]
Add/subtract the terms:
[tex]x+5=11-2x[/tex]
Subtract 5 from both sides:
[tex]x+5-5=11-2x-5[/tex]
[tex]x=-2x+6[/tex]
Add 2x to both sides:
[tex]x+2x=-2x+6+2x[/tex]
[tex]3x=6[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3}=\frac{6}{3}[/tex]
[tex]x=2[/tex]
Which of the following are coplanar??
Answer:
Points T, R and Q are coplanar
Step-by-step explanation:
They are all lying on plane P
Use estimation to determine the product of 15.4 and 5.7
Answer:
about 90
Step-by-step explanation:
15.4 rounds down to 15
5.7 rounds up to 6
15 × 6 = 90
please help meeeeeeeeeeeeeeeeeeee
Answer:
B
Step-by-step explanation:
AB and CD are the same length, so the construction will be one that shows addition of same-length segments. In choices A and C, XY > YZ. In choice D, XY < YZ. Only choice B shows addition of same-length segments.
As a check, you can compare the length of AB or CD to XY or YZ. You will find they are approximately the same, as they should be.
2/3(4w+9) Please help
Given that f(x) = -x and g(x) = 2x - 1. Find the value of f(3) - 9(-4).
Answer:
f(3)= -3
g(-4)=2*(-4 ) -1 =-9
Step-by-step explanation:
Marrisa added 1.56 and 13.47. She got 29.07. What mistake could Marrisa have made? She forgot to move the decimal point to the left after she added. She lined up the front numbers instead of the decimal places. She lined up the last numbers instead of the decimal places. She didn’t carry correctly between place values.
without an explanation your answer is (B) She lined up the front numbers instead of the decimal places.
if you need an explanation here:
________________________________________
For a problem with a decimal in the numbers, you ALWAYS have to line them up or your answer will be incorrect.
She should have put: 13.47
+ 1.56
15.03
therefore, 15.03 would have been her correct answer. :-)
Answer:
b
Step-by-step explanation:
edge 2021
Y=x-9
Help if possible
answer to the problem is 9
3. Tyler said this net cannot be a net for
a square prism because not all the laces
are squares
Do you agree with him?
Explain your reasoning,
Agree..............
8 Level Problems (Challenging, Unfamiliar)
4. In a right triangle, the hypotenuse is 3 times the length of the shorter leg. The longer leg is 5cm. Find
the length of the hypotenuse.
h = 15√3/4
= 6.4875
≈ 6.5 cm
Step-by-step explanation:h = 3x
c₁ = 5 cm
c₂ = x
Pythagorash² = c₁² + c₂²
(3x)² = 5² + x²
9x² = 25 + x²
8x² = 25
x² = 25/8
x = √25/8
x = 5/2√2
x = 5√2/4
h = 3x
= 3×5√2/4
= 15√2/4 cm
5. Find the coordinates of G if F(-1,2) is the midpoint of GJ and J has coordinates (-5,9).
Answer:
work is attached and shown
True or false? The graph has a real root when x =5
Answer:
True, assuming you mean on any graph.
Step-by-step explanation:
Henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade of orange. If he uses 9 pints of yellow paint and wants the same orange color, how many pints of paint will he need altogether? Explain how you know. 2
Answer:
Henry needs 15 pints of paint altogether
Step-by-step explanation:
If Henry uses 2 pints of red paint and 3 pints of yellow paint to get a specific color, and he now uses a total of 9 pints of yellow, then
3 x 3 = 9 (yellow)
We know that what you do on one side, you do on the other.
2 x 3 = 6 (red)
You add
9 + 6 = 15. (Red and yellow paint)
Which will lead you to the conclusion of 15 pints.
Answer:
Henry will need 15 pints altogether.
Step-by-step explanation:
Add: 6 + 9 = 15 pints
simplify the expression n^3 • 3n
Answer:
Step-by-step explanation:
3n x n^3 = 3n^4
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Solve the following equation for x, and express its value in terms of c. 3(cx-7)=9
Answer:
x=10/c
Step-by-step explanation:
3(cx-7)=9
(cx-7)=3
cx=10
x=10/c
Answer:
x=10/c
Step-by-step explanation:
3(cx-7)=9
(cx-7)=3
cx=10
x=10/c
Charlotte is making pies for her whole family. So far, she has made 5.04 pounds worth of pie, and has 7 people to feed, including herself. How much does each person get if Charlotte is done making pies?
Answer:
0.72 pounds
Step-by-step explanation:
Each of the 7 people gets 1/7 of the pounds of pie, so ...
(5.04 pounds)/7 = 0.72 pounds
Each person gets 0.72 pounds of pie.
Problem 5 (from Unit 2, Lesson 5)
Select all the ratios that are equivalent to each other.
4:7
8:15
16:28
2:3
20:35
Answer:
20:25 probably don't quote me
-37 - -47
gtfrtgyhbtgfvbnhjmrybgtsfvdcsx
Answer:
-37- -47=-10
Step-by-step explanation:
21 kg of apples cost $210 how many kilograms of apples can you get with $270?
Answer:
27kg
Step-by-step explanation:
each kilogram of apples are $10 so you do 270 divided by 27 is 10
can someone help me with this question? I keep on getting it wrong.
Answer:
102
Step-by-step explanation:
Let x be the amount of money John spends.
x/2-5=46
x/2=51
x=102
How many metres of cloth 4.4 m wide will be required to make a conical tent of radius of whose base is 3.5m and whose height is 8.4m .
[tex]\Huge{\boxed{\sf{\red{22.98m}}}}[/tex]
➢ Explαnαtion :Givєn :Radius of the tent,r = 3.5 mHeight of the tent, h = 8.4 mTo Find :length of the cloth required.Solution :According to the question,
Slant height, l = [tex]\displaystyle{\sf{ \sqrt{{r}^2 + {h}^2} = \sqrt{{3.5}^2 + {8.5}^2}}}[/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ = 9.192m}}[/tex]
curved surface area = [tex]\displaystyle{\sf{ \pi rl}}[/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{22}{7} \times 3.5 \times 9.192{m}^2}}[/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ 101.112}}[/tex]
i.e., Area of the cloth is 101.11m²
Now, length of the cloth required = [tex]\displaystyle{\sf{ \frac{area}{width}}}[/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{101.11}{4.4}}}[/tex]
[tex]\implies[/tex] [tex]\large{\boxed{\sf{\red{22.98m}}}}[/tex]
Use estimation to determine the product of 15.4 and 5.7
Find the value of x. (Hint: The sum of the angle measures of a quadrilateral is 360°.)
(5x+60)