Given:
Segment MN has endpoints at M(-6, -3) and N(9,7).
Point Q lies on MN such that MQ:QN = 3:2.
To find:
The coordinates of point Q.
Solution:
Section formula: If a point divides of line segment whose end points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in m:n, then the coordinates of that points are:
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Segment MN has endpoints at M(-6, -3) and N(9,7) and Point Q lies on MN such that MQ:QN = 3:2. By using section formula, we get
[tex]Q=\left(\dfrac{3(9)+2(-6)}{3+2},\dfrac{3(7)+2(-3)}{3+2}\right)[/tex]
[tex]Q=\left(\dfrac{27-12}{5},\dfrac{21-6}{5}\right)[/tex]
[tex]Q=\left(\dfrac{15}{5},\dfrac{15}{5}\right)[/tex]
[tex]Q=\left(3,3\right)[/tex]
Therefore, the coordinates of point Q are (3,3).
Round 12.23 to the nearest tenth.
Answer:
12.2
Step-by-step explanation:
Answer:
12.2
Step-by-step explanation:
the tenth is shown 12.23
I
I
I
after locating the tenth, we follow rounding principles. if the number to the right is 0-4, the place value you are looking at stays the same (which happens in our case). If the number to the right is 5+, we round the number to the left up so if it was 12.27, it would be 12.3
HOPE THIS HELPS *GIVE FWEE COOKIE*
the social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a student government activity. The teacher draws a random sample from the following groups: All teachers in the school All boys in each grade All students in each grade All students in the social studies club Which group best represents the population he should take a random sample from to get the best results for his survey? ) Select one:
a. All teachers in the school
b. All boys in each grade
c. All students in each grade
d. All students in the social studies club
PLEASE HELP ME
Please help me now
If Rectangle ABCD is rotated 90° counter-clockwise about Point A, what will be
the coordinates of the vertex C'?
A. (-3, -1)
B. (-4,1)
C. (5, 4)
D. (-6, 5)
Answer:
A
Step-by-step explanation:
The answer should be A. If you rotate it around point A the rectangle would be up right on the x axis
MARKING BRAINLIEST IF RIGHT!!
1.) When writing a check, a consumer must write the amount of money:
A.) in numbers only.
B.) in words only.
C.) in both numbers and words.
D.) in three different places on the check.
E.) None of these choices are correct.
Answer:
Step-by-step explanation:
e
Classify the triangle with side lengths of 12, 16, 20
Answer:
The triangle is a right triangle
Step-by-step explanation:
We use the pythagorean Theorem which is a^2+b^2=c^2
Now we have 12^2+16^2=20^2
Solve: 144+256=400
400=400
2 regular pizzas and 3 small pizzas cost £22 6 regular pizzas and 12 small pizzas cost £78
find the cost of one each
Answer:
Regular pizza: £5
Small pizza: £4
Step-by-step explanation:
Let x = regular pizza
Let y = small pizza
6x + 12y = 78
2x + 3y = 22
I'm going to use elimination method to solve for y
6x + 12 y = 78
-3(2x + 3y = 22) = -6x -9y = -66
Eliminate the x
3y = 12
Divide both sides by 3
3y/3 = 12/3
y = 4
Substitute the y in one of the original equations
2x + 3(4) = 22
2x + 12 = 22
Subtract both side by 12
2x + 12 - 12 = 22 - 12
2x = 10
Divide both sides by 2 to solve for x
2x/2 = 10/2
x = 5
Answer:
small $3.4 regular $6.2
Step-by-step explanation:
2r +3s = 22.6
6r *12s = 78
Multiply the first by -3
-6r -9s = -67.8
6r +12 s = 78
Add both (6r will be cancelled)
3s = 10.2
s = 3.4 small = 3.4 (3 small = 10.2)
2r +10.2 = 22.6
2r = 12.4
r = 6.2
Amir buys a coat that cost $125.00. He has to pay 6.25% state tax on the coat. He also has to pay 2.0% local tax on the cost.What is the total amount that he has to pay?
F)$133.25
G) $133.88
H)$135.31
J)$135.47
Answer: $133.8
Step-by-step explanation:
will give brainliest m^2= -7m + 6
Answer:
m =(-7-√73)/2=-7.772
Step-by-step explanation:
Answer:
m=−7/2+1/2√73 or m=−7/2+−1/2√73
Step-by-step explanation:
Let's solve your equation step-by-step.
m2=−7m+6
Step 1: Subtract -7m+6 from both sides.
m2−(−7m+6)=−7m+6−(−7m+6)
m2+7m−6=0
For this equation: a=1, b=7, c=-6
1m2+7m+−6=0
Step 2: Use quadratic formula with a=1, b=7, c=-6.
m=−b±√b2−4ac/2a
m=−(7)±√(7)2−4(1)(−6)/2(1)
m=−7±√73/2
m=−7/2+1/2√73 or m=−7/2+−1/2√73
3. When pasta is cooked, it doubles in weight. When Ms. Morrison finished cooking
pasta for her family, the cooked pasta weighed 550 gram. How much did it
weigh before she cooked it?
Answer:
275
Step-by-step explanation:
550 divided by 2 is 275.
If you were to use the “Completing the Square” method to solve the equation below for k, what number would you add to both sides of the equation? k 2- 8k = -4
A) 16
B) –16
C) 24
D) –24
Answer:
The number you would add to both sides of the equation to use the "Completing the Square" method would be 16.
Step-by-step explanation:
To find the number to add to both sides of an equation to complete the square, divide the first-degree term's coefficient by 2 and square your remainder. In this case, the coefficient of the first-degree term is -8. After dividing by 2 and squaring it, you'll get 16, so that is the number you must add to both sides of the equation in order to complete the square.
Answer:
give him brainliest
Step-by-step explanation:
lol
Answer to this question plz
HELP ASAP!!! Identify the factored form of each polynomial
Answer:
9x2 +42x + 24 is (x + 4) (9x + 6)
9x2 + 30x + 24 is (3x + 6) (3x + 4)
9x2 + 58x + 24 is (9x + 4) (3x + 4)
I tried reversing it, instead of doing these - 9x2 + 58x + 24 I did (9x + 4) (3x + 4)
A dinner at Chili’scosts you $32. At this restaurant, there is a 6% sales tax. However, you have to payfor a tip, which is 15%. What is your final total after finding the sales tax and calculating the tip?
Answer:dasda
Step-by-step explanation:adsdad
I need help asap!!
if p= -1, 5 Rx axis (P)
Answer:
P'(7, 5)
Step-by-step explanation:
Rule for the transformation of a point [tex]R_{x=1}(P)[/tex] defines,
Reflection of a point P(x, y) about a line, x = 1 which is parallel to y-axis.
Line x = 1 works like a mirror so the distance between the line and the image point will be equal to the distance between the line and the original point.
Distance between the line and a point (-1, 5) = 4
Therefore, distance between the line and the image point = 4
Coordinates of the image point will be,
P'(3, 5)
I really need help!! Thank you in advance!!! No links! ;w;
Harmon’s Jewelry Store receives a shipment of jewelry. 485 pieces are good but 15 pieces arrived damaged. At this rate, if Mrs. Harmon places an order of 5,500 jewelry pieces, how many can she expect to be damaged?
hope this helps
Step-by-step explanation:
first you divide 5,500 by 485(5,500/485), then you will get 11.34, and since you cannot buy half of something, you will have to round down to 11. then you multiply 11 by 15 (11 X 15) and you will get 165, so then you go back and subtract 165 from 5,500 (5,500-165) and there is your answer (5335).
Answer:
the answer is 5335.
I need help no links or files brainly will remove them
Finding a final amount in a word problem on exponential growth or decay
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 185 grams of a radioactive isotope, how much will be left after 3 half-lives?
Use the calculator provided and round your answer to the nearest gram.
Answer:
25 grams
Step-by-step explanation:
Three half live
1/2 * 1/2 * 1/2 = (1/2)³ = 1/8
There would be 1/8 of the original amount left
185 * 1/8 = 23.125
Rounded
25 grams
2. find the value
pls no links
Answer:
[tex]\displaystyle V = 2144.66 \ ft^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
r = 8 ft
Step 2: Find Volume
Substitute in variables [Volume of a Sphere Formula]: [tex]\displaystyle V = \frac{4}{3} \pi (8 \ ft)^3[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{4}{3} \pi (512\ ft^3)[/tex]Multiply: [tex]\displaystyle V = \frac{2048}{3} \pi \ ft^3[/tex]Estimate: [tex]\displaystyle V = 2144.66 \ ft^3[/tex]I WILL GIVE BRAINLIEST TO WHOEVER CAN ANSWER NUMBER 12
12) There are two rectangular doors that are similar. The smaller door has a height of 3 ft. and a width of 2 ft. The bigger door has a width of 8 ft. What is the height of the bigger door? (Draw a picture, set up a proportion, and show all work.)(3pts)
Answer:
it's twelve you're welcome
Answer:
12 ft
Step-by-step explanation:
Since the doors are similar then the ratios of corresponding dimensions are equal.
let x be the height of the bigger door, then
[tex]\frac{small}{big}[/tex] : [tex]\frac{3}{x}[/tex] = [tex]\frac{2}{8}[/tex] ( cross- multiply )
2x = 24 ( divide both sides by 2 )
x = 12
Height of the bigger door is 12 ft
The diagram shows a cuboid.
Find the total surface area of the cuboid.
5 cm
12 cm
4cm
hhhhhheeeeeeeeeeelllllllppppppp
Answer: Last answer
Step-by-step explanation:
7/8 x 1/3 x 2/3 in fractions
Answer:
14/72
Step-by-step explanation:
Just line them all up and multiply numerators with numerators and denominators with denominators. You have your answer.
complete the simplified ratio:
0.2 : 3.75
Answer:
1: 18.75
Step-by-step explanation:
We multiply both sides by 5.
Tom races his bicycle for 140 ft. A wheel of his bicycle turns 35 times as the bicycle travels this distance. What is the diameter of the wheel?
Use the value 3.14 for pie. Round your answer to the nearest tenth. Do not round any intermediate steps.
Answer:
1.3 ft
Step-by-step explanation:
perimeter = 140/35 = 4 ft
diameter = 4 ft/ 3.14 = 1.3 ft
Answer:
G. A. G. O.
Step-by-step explanation:
THAT I HAVE A A BUT THIS IS THE REAL ACCOUNT OF FINN HAVE A GREAT DAY TODAY WITH MY MOM SAID YOU DIDN'T WANT ME I HAVE A A FEW MINUTES AGO WHEN WE GET TO KNOW THAT WE HAVE A A FEW MINUTES AGO WHEN WE GET TO KNOW THAT I AM GOING TO ANSWER AT THE END OF THIS MONTH I WAS JUST THINKING ABOUT YOU GUYS
state four examples of hazard
Answer:
1. Physical Hazards
2. Ergonomic Hazards
3. Chemical Hazards
4. Biological Hazards
Step-by-step explanation:
X + 2x - 7/4=1 - x/2 -x ayudaaaaa
Answer:
|x| - |-x| = 0
Step-by-step explanation:
Answer:
no se
Step-by-step explanation:
no se
101 divided by 2 plus 4
Answer:
54.5
Step-by-step explanation:
Answer:
54.5
Step-by-step explanation:
Hope this helps!! Do you need it in a fraction?
Jenna starts her homework at 6:30 P.M. She solves math problems for 20 minutes. She works on a paper for history for 30 minutes and studies science vocabulary for 15 minutes. Finally, Jenna reads for 40 minutes. When will Jenna finish her homework?
Answer:its either 7:20 or 8:00 i think
Step-by-step explanation:
please helppppppppppp
Answer:
f(10) = 3
Step-by-step explanation:
If f(x) = [tex]-\frac{3}{5} x + 9[/tex] , in order to find the result for f(10) we just need to substitute 10 instead of x and we will get...
[tex]f(x) = -\frac{3}{5} x + 9\\\\f(10) = -\frac{3}{5} (10) + 9\\f(10) = - 6 + 9\\f(10) = 3[/tex]
Last month, customers at a gift shop bought 40 birthday cards,
19 congratulations cards, 20 holiday cards, and 21 thank you
cards. Suppose 125 customers buy greeting cards next month.
How many would you expect to buy a birthday card?
Answer:
32 People
Step-by-step explanation:
I put 40 (Number of birthday cards bought previously) over 125 (Number of expected costumers) and multiplied it by 100 (Total number of card bought previously) to get my answer. Hopefully that helps :)
please help me I can't seem to get it
Answer:
I think (c) is the correct answer.
Step-by-step explanation:
The diagonals bisect each other.
Answer: The diagonals are congruent
Step-by-step explanation: (if this is wrong I am sorry) There are Different Types of Quadrilaterals
Trapezium.
Parallelogram.
Rectangle.
Rhombus.
Square.
Kite.
If this is wrong I am very sorry