Answer:
The distance from point L to point M is 17
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x1,y1) and B(x2,y2), the distance between them is calculated as follows:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Point L has coordinates (-10,-9) and point M has coordinates (-2,6).
Calculate the distance between L and M:
[tex]d=\sqrt{(6+9)^2+(-2+10)^2}[/tex]
[tex]d=\sqrt{15^2+8^2}[/tex]
[tex]d=\sqrt{225+64}=\sqrt{289}[/tex]
[tex]\boxed{d=17}[/tex]
The distance from point L to point M is 17
Can you use exactly 121 squares to create a critter in this pattern?
Answer:
No
Step-by-step explanation:
There are 9 squares in the first critter. So, 121/9=13.44444 and so on. Since the outcome is not a whole number, this means you can not fit exactly 121 squares in that pattern.
What is the solution to the equation 6x + 2(x − 3) = 4x + x − 18? (1 point) 4 2 −2 −4
Answer: 4
Step-by-step explanation:
Can u solve this problem
Answer:
Yes, 9
Step-by-step explanation:
Use order of operations.
Step 1:
(1+2)=3
Step 2: This leaves you with:
6÷2(3)
Step 3: From this point on, we go from left to right:
6÷2=3
3(3)=9
10) Sunrise Homes would like to build high rise apartment buildings in
Wilmington, NC. The city of Wilmington will not allow more than 3,000 people per
square mile. The population of Wilmington is 119,045 and covers a land mass of
41.4 square miles. Can Sunrise Homes build their apartment building? Explain
your reasoning and show your work.
Sunrise Homes could build their apartment building without problems, since the land mass of the city would not be exceeded.
People calculationGiven that Sunrise Homes would like to build high rise apartment buildings in Wilmington, NC, and the city of Wilmington will not allow more than 3,000 people per square mile, and the population of Wilmington is 119,045 and covers a land mass of 41.4 square miles, to determine if Sunrise Homes could build their apartment building the following calculation must be made:
119,045 / 3000 = X39.68 = XTherefore, Sunrise Homes could build their apartment building without problems, since the land mass of the city would not be exceeded.
Learn more about people calculation in https://brainly.com/question/13806160
A deposit of $4000 is made into a savings account that pays 2.48% annual interest compunded quarterly.
a. How much money is in the account after 3 years?
b. How long will it take for the account to earn $500 interest?
years
c. How much more money will be in the account after 3 years if the interest if compounded continuously?
Answer:
a. $4307.96
b. 4.76 years
c. $0.99
Step-by-step explanation:
These questions can be answered using the relevant formulas for future value of an investment.
a.For compound interest, the account balance is given by ...
A = P(1 +r/n)^(nt) . . . . principal P at annual rate r compounded n times per year for t years
$4000 at 2.48% compounded quarterly for 3 years will give an account balance of ...
A = $4000(1 +0.0248/4)^(4·3) = $4000×1.0062^12 ≈ $4307.96
After 3 years, there will be $4307.96 in the account.
__
b.After earning $500 in interest, the account balance will be $4500. That means we need to solve for t such that ...
4500 = 4000(1.0062^(4t))
log(4500/4000)/(4×log(1.0062)) = t ≈ 4.764
It will take about 4.76 years to earn $500 interest.
__
c.The future value of an account with continuous compounding is given by ...
A = Pe^(rt)
A = $4000e^(0.0248·3) ≈ $4308.95
Then the additional interest is ...
$4308.95 -4307.96 = $0.99
If the money is compounded continuously, there will be $0.99 more in the account after 3 years.
Mrs. Menary made 4 1/2 quarts of lemonade for a school party. How many fluid ounces of lemonade did she make?
Answer:
144 fluid ounces
Step-by-step explanation:
How do you work out this question
Answer:
The original price is $7926.83
Step-by-step explanation:
Step 1: Subtract the percent of the discount from the percent of the original cost:
100% - 18% = 82%
Step 2: Convert the percent to a decimal.
82% = 0.82
Step 3: Solve for the original price.
[tex]\frac{0.82x}{0.82} = \frac{6500}{0.82}[/tex]
= 7926.829268 (Round to the nearest tenths)
$7926.83
Hope it helps!!!
Triangle ABC is isosceles, with AB = AC.
r\1180
Work out the size of angle x.
Help!!!
x = 180 - 118 ( linear angles)
x = 62
62+62+y = 180
y = 56
Answer:
Step-by-step explanation:
Angle of a straight line = 180 degrees :)
So to find x you would do:
x = 180 - 118 = 62
Also the angle sum of a triangle = 180 degrees.
Since it is an isosceles triangle, the bottom two angles would be equal:
Angle sum of triangle = 180
x + x + y = 180
Since we know x = 62, substitute it into the above equation:
62 + 62 + y = 180
124 + y = 180
Subtract 124 from both sides to solve for y.
y = 180 - 124
y = 56
Two linear equations and their graph are shown.
Which coordinate point simultaneously satisfies both linear equations?
Answer:
the third one
Step-by-step explanation:
because they both intersect at (4, -3 1/2)
Answer:
The Answer is Third one...
Step-by-step explanation:
Please mark as brainliest
Have a great day !
Help me please 25 points
Answer:
Step-by-step explanation:
f(1) .here x = 1 and this is less than 4. so, we have to choose
f(x) = -(x - 2)² - 3
f(1) = -(1-2)² - 3
= - (-1)² - 3
= - (1) - 3
= -1 - 3
= -4
help me!!!!!! ASAP!!!
Answer:
Last answer got erased lol
Step-by-step explanation:
divide all numbers by two.
think faster and mby think better too
Help pls. I will give brainliest
Answer: AC is congruent to PR.
Step-by-step explanation:
Letter A takes the corresponding position as letter P, and letter C takes the corresponding position as letter R in the given congruence statement.
Can you answer this:
Answer:
y=75/1000 or 0.075, r=230/1000 or 0.23
by the number of each color and they told u there were a total of 1000
Step-by-step explanation:
Select all the stories the tape diagram can represent.
Answer:
(B) (C) (E)
Step-by-step explanation:
Write and solve a proportion to answer the question.
48 is what percent of 160?
Answer:
30%
Step-by-step explanation:
[tex]\frac{48}{160} = 0.3 = 30%[/tex]
what’s the answer for 15ft wide and 8ft long
The perimeter of a rectangle is 14x + 6.
Part A: If the length of the rectangle is 4x - 1, what is the width of the rectangle.
Part B: Find the area of the rectangle
Answer:
Part A: the width of the rectangle is 3x+4
Part B: the area of the rectangle is 12x²+13x-4
Bryan’s mom spent $46.20 filling up her gas tank. If her gas tank can hold 12 gallons of gas, how much did each gallon cost?
A. $3.48
B. $3.85
C. $3.86
Answer: Each gallon costs $3.85
Step-by-step explanation:
We know that Bryan's mom spent $46.20 on gas, and her car can hold up to 12 gallons. Therefore all we have to do is:
$46.20 ÷ 12 = $3.85
Each gallon costs $3.85
Use the distributive property to simplify the expression -8(5 + 9).
-32
32
112
-112
Answer:
-112
Step-by-step explanation:
Simplified:-40 - 72=-112
i need to solve for x 3x+2=8
Answer:
x=2
Step-by-step explanation:
3x+2=8
subtract 2 from both sides
3x=6
divide both sides by 3
x=2
3(2)+2=8
6+2=8
8=8
Using the life syllogism order the statements and make a final conditional statement
The law of syllogism is similar to the transitive property:
a->b and b->c => a->c
So
p->q and _____ => p->r
will require the second proposition to be q->r, which completes the syllogism
p-> and q->r => p->r
Dr. Burnett stocks each room in his dentist office with 300-milliliter bottles of mouthwash. If he orders five 1. 5-liter bottles of mouthwash, how many of the smaller bottles can he fill?
Answer
A little over 16.
Step-by-step explanation:
If you convert 5 liters to milli-liters, you get 5,000. You then divide 5,000 by 300 and get 16.67.
Hope this helps!
i need your help plz say fast this answer
Answer:
not exactly an answer but...
Step-by-step explanation:
5y^(2)-9y+6y^((3)/(2))-5y^((1)/(2))+125 = 0 is an equation i came up with. it's un-factorizable though
Which of the following is parallel to the line y= 2/3x +5
Answer: y= 2/3x + 8
Two lines are parallel if they have the same slope.
2/3x is the slope so the only thing needed to change to make it parallel is the y-intercept.
please help and provide how u got the answer plz plz plz
Answer:
i asked my mom
Step-by-step explanation:
because you should ask for help from gaurdinas
Solve for x. Round to the nearest tenth, if necessary
Answer:
x = 8.4
Step-by-step explanation:
For the 51° angle, 5.3 is the adjacent leg.
x is the hypotenuse.
cos 51° = adj/hyp
cos 51° = 5.3/x
x = 5.3/cos 51°
x = 8.4
Melvin mows a lawn. The fraction of the lawn that Melvin has mowed so
"far is represented by the shaded model shown.
3
Melvin will mow more of the lawn before he takes his first break.
10
What fraction of the lawn will Melvin have mowed when he takes his
first break?
Melvin would have mowed 12/25 of the lawn of the when he takes his first break.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The total number of squares in the lawn = 100, 3/10 of the lawn = (3/10) * 100 = 30 squares
The number of squares already mowed = 18
Hence:
Fraction of the lawn Melvin have mowed when he takes his first break = (18 + 30) / 100 = 48/100 = 12/25
Melvin would have mowed 12/25 of the lawn of the when he takes his first break.
Find out more on equation at: https://brainly.com/question/2972832
whats is the ratio of blue paint to yellow paint
Answer:
The answer should be 6:2
Answer:
6 : 2
Step-by-step explanation:
There's 6 blue units & 2 yellow units; hope this helps!
Sam is making a metal box as part of a sculpture. She wants to know how much metal is needed to make a box with the dimensions shown. What is the surface area of the box?
A. 18 square meters
B. 6 square meters
C. 22 square meters
D. 11 square meters
Answer:
C. 22 square meters
Step-by-step explanation:
The surface area of a rectangular prism can be found from the formula ...
A = 2(LW +H(L +W))
Filling in the given values, we have ...
A = 2(2×3 +1×(2+3)) = 2(6 +5) = 22
The surface area of the box is 22 square meters.
After watching baking shows on T. V. , Sanjay signs up for a cake-decorating class. To practice his new skills, he decorates a batch of cupcakes with sugar flowers. Sanjay puts 4 sugar flowers on each cupcake. In all, Sanjay puts 32 sugar flowers on the cupcakes. Which equation can you use to find the number of cupcakes c Sanjay decorates?
Answer:
4 sugar flowers for each cup
Total number of cups = 32
Generating The Equation
number of cupcakes (n) = (total cupcakes decorated)/( number of sugar flowers for each cup)n = 32/4n = 8The equation that can be use to determine the number of cupcakes c Tucker decorates will be 4n = 32.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that 4 sugar flowers for each cup
Total number of cups = 32
Generating The Equation;
The number of cupcakes (n) = (total cupcakes decorated)/( number of sugar flowers for each cup)
n = 32/4
n = 8
The equation that can be use to determine the number of cupcakes c Tucker decorates will be 4n = 32.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
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