use the distance formula to find the distance between the two points. (0, -2) and (9, 10) give the exact length (leave in radical form if it is not a perfect square). but please show your work so i can understand. its ok if u cant show ur work tho thank you!
Answer:
15 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (9, 10)
d = [tex]\sqrt{(9-0)^2+(10+2)^2}[/tex]
= [tex]\sqrt{9^2+12^2}[/tex]
= [tex]\sqrt{81+144}[/tex]
= [tex]\sqrt{225}[/tex]
= 15
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 5(m∠Y) −240°. Find m∠Y.
The value of m∠Y is
9514 1404 393
Answer:
∠Y = 55°
Step-by-step explanation:
Complementary angles have a sum of 90°.
∠S + ∠Y = 90°
(5∠Y -240°) +∠Y = 90°
6∠Y = 330° . . . . . . . . . . . . add 240°, collect terms
∠Y = 55° . . . . . . . . . divide by 6
Which of the following statements is always true of supplementary angles?
Supplementary angles have measures that add up to 90,
Supplementary angles are congruent
Supplementary angles are adjacent
Supplementary angles have measures that add up to 180
Answer:
4th option is the answer.
SOLVE FOR 15 POINTS !!!
Answer:
Step-by-step explanation:
1) a ) 7x = 56
Divide both sides by 7
7x/7 = 56/7
x = 8
2) 6y = 35
Divide both sides by 6
6y/6 = 35/6
[tex]y= 5\frac{5}{6}[/tex]
[tex]3a) \frac{x}{3}=10\\\\3*\frac{x}{3}=3*10\\\\x = 30\\\\\\\\d) \frac{c}{18}=\frac{1}{2}\\\\18*\frac{c}{18}=\frac{1}{2}*18\\\\c=9\\\\\\f) \frac{n}{8}=\frac{11}{4}\\\\8*\frac{n}{8}=\frac{11}{4}*8\\\\n=11*2\\\\n=22[/tex]
Answer:
1) a ) 7x = 56
Divide both sides by 7
7x/7 = 56/7
x = 8
2) 6y = 35
Divide both sides by 6
6y/6 = 35/6
Step-by-step explanation:
Pls help
First, correct answer will get brainliest
Answer:
A for the first one.
Second one, I'm not sure, but I'd guess it'd be A
Step-by-step explanation:
What values of x and y satisfy the system of equations shown below?
3x − 2y = 13 9x − 4y = 35
(3,2)
(2,3)
(3,−2)
(−2,3)
Plz help with this, it's only for 10 points, Don't give me the wrong answer and steal my points or i will report!
Answer:
the correct values are ( 3, -2)
Answer:
(3,-2)
Step-by-step explanation:
x=13/3+2/3y
9x-4y=35
9(13/3+2/3y)-4y=35
y=-2
x=13/3+2/3×(-2)
x=3
Calculate 3.5% of 140g
Answer:
try 4.9
Step-by-step explanation:
Answer:
3.5 × 140
4.9g
Step-by-step explanation:
In a square of side length s, what is the length of a diagonal?
A)1
S2
B)2s
C)Vs
D) sV 2
Answer:
Option A) it has square roots of 2 is the answer
Help anyone know the answer?!
Answer:
first one
Step-by-step explanation:
Lynn is going to cover the floor with tiles.
Each tile is a rectangle of side 60 cm by 30 cm.
Each tile costs £4.25
Lynn has £400 to spend on tiles.
Show that she has enough money to buy all the tiles she needs. (*)
(5 Points)
300 cm
540 cm
Answer:
Please check explanations
Step-by-step explanation:
Firstly, we calculate the area of the floor
That is the product of the sides
= 300 * 540 = 162,000 cm^2
What is left is to calculate the area of a tile
Since the tile is also rectangular, the area of each tile will be;
60 * 30 = 1,800 cm^2
Since we have both areas, we can now get the number of tiles needed to cover the floor
We can get this by dividing the area of the floor by the area of a tile
This is;
162,000/1,800 = 90
This means that 90 tiles will cover the floor
The cost of a tile
is £4.25
The cost of 90 tiles will be ;
£4.25 * 90 = £382.5
from here, we can see that the £400 is more than £382.5
So we can conclude that she has enough to spend on tiles
what 50 precent of 7
Answer:
3.5
7 divided by 50=3.5
3.5x2=7
Step-by-step explanation:
plz help find the area :(
Answer:
18 un²
Step-by-step explanation:
A restaurant is making table cloths for their four round tables. Each table is a circle with a radius of 2 ft. Each table cloth needs to be 20% larger than the table surface.
How many whole table cloths can the restaurant get out of a piece of fabric with an area of 64 ft²?
Please help!!
Answer:
4
Step-by-step explanation:
Since it gives us the amount of area of material to use we know we want to find how many times we can divide it into tablecloths. So now we need to find how much each tablecloth is.
so first it tells us that each table has a radius of 2 ft, so we find the area using that. area of a circle is [tex]\pi r^2[/tex] so plugging in 2 ft we get 4π square feet or 12.56.
It also says that each tablecloth needs to be 20% bigger, so we find what 20% larger than 4π is. to do this you do 4pi*1.2 = 4.8π = 15.072 square feet.
Now, how many tablecloths with areas of 15.072 square feet can be made from 64 square feet. Hopefully it's obvious you divide. so 64/15.072 = 4.25
Since we want whole tablecloths and that .25 is a remainder, 4 whole tablecloths can be made.
y = 8/x
Input
Output
Give the answer in simplest form:
3/8 of 48 = n n = _____
Answer: n= 18
Step-by-step explanation: 3/8 of 48 is the same as 3/8 times 48
Answer:
18
Step-by-step explanation:
48 divided into 8 parts is 6
3x6=18
Five friends want to travel on a trip. The bus ticket price is $50 for each friend, and the rooms and meals for everyone will cost $850.
To pay for the trip, friends work in the local shop. Each of them is paid $5 per hour. If each friend works the same number of hours, how many hours must each friend work so that there will be enough money to pay for the entire cost of the trip?
Answer this pls I'm this accounts cousin help me
Answer:
Step-by-step explanation:
Okay so first you need to find out how much money it will cost in total.
$50*5
=$250
$250+$850=
$1,100
Now, $1,100 divided by 5
1,100/5
=220 hours
And there are 5 friends so divide the total amount hours by 5.
220/5
=44 hours
So you see, each friend will need to work 44 hours.
I hope this helped :)
Brainliest? ✨
2.50 rounded to the nearest cent
Answer:
To round 2.5 to the nearest cent consider the thousandths’ value of 2.5, which is 0 and less than 5. Therefore, the cents value of 2.5 remains 0. answer $2.5 rounded to the nearest cent = $2.50
Step-by-step explanation:
If you like to round 2.5 to the nearest cent, rendering the amount with only two numbers after the decimal point, then you have come to the right post.
9. What is the inverse of y = 10x -2?
Answer:
Step-by-step explanation:
F-^1(x)+x/10+1/5
Step-by-step explanation:
Can somebody help me please thank you
Answer:
1.rode
2. Participate
3. Prepared
i don't know about the other ones
six is 3% of what number
Answer:
200
Step-by-step explanation:
Find the diameter and radius of a circle with the given circumference. C = 9cm *
Answer:
C≈28.27
Step-by-step explanation:
C=2πr
A=2·π·4.5
A≈28.27433
(round up by the nearest hundreth. very sorry if i get this question wrong.)
Solve using distributive property 3(x-6)
Answer:
3x-18=0
3x=18
x=18/3
x=6
PLSSS HELP WILL GIVE BRAINLIEST
THX AND 5 starts ILL ALSO FRIEND U
U ONLY HAVE TO DO 2 BUT IF U DO BOTH I WILL BE SO GRATEFULL TYSM
Answer:
Solution is positive and both are correct
Step-by-step explanation:
1) since negative times negative is positive and -27 and -35 are both negative then x needs to be positive
2) since positive divided by positive is positive and negative divided by negative is also positive (when the negative sign is in the middle of both numbers on a fraction bar it means both are negative) then both are correct
A glassblower can produce several sets of simple glasses in about 3 hours. When the glassblower works with
an apprentice, the job takes about 2 hours. Write an equation that can be used to find the amount of time t, in
hours, it would take for the apprentice to make the same number of sets of glasses when working alone.
Using the together rate, it is found that it would take the apprentice 6 hours to make the same number of sets of glasses when working alone.
What is the together rate?The together rate is the sum of each separate rate.
In this problem, the rates are:
Glassblower: 1/3.Apprentice: 1/x.Together: 1/2.Hence, applying the equation for the together rate:
[tex]\frac{1}{2} = \frac{1}{x} + \frac{1}{3}[/tex]
[tex]\frac{x + 3}{3x} = \frac{1}{2}[/tex]
[tex]2x + 6 = 3x[/tex]
[tex]x = 6[/tex]
It would take the apprentice 6 hours to make the same number of sets of glasses when working alone.
To learn more about the together rate, you can take a look at https://brainly.com/question/25159431
PLEASE HELP IM BEGGING YOU ITS DUE IN 15 MIN ILL GIVE BRAINEST AND PTS
answer:
you just have to shrink it down to 4cm then to 2cm
i wish i could help out more, but i would need to have access to the form
hopefully, this helps anyhow :)
good luck
have a great day !!
Solve for c.
c=2
Ac=-16
Bc=-4
Cc=4
Dc=16
Someone plz help me :(
Answer:
(1,3)
Step-by-step explanation:
Coordinates are counted first how much spaces on the x-axis. Which in this case Is 1.
And how much spaces on the y- axis in this case 3.
To the right 1 and Up 3.
(1,3)
Hope this Helps!:)
Answer:
(1, 3)
Those are the coordinates.
Hope that helps!
Step-by-step explanation:
Simplify. Your answer should contain only positive exponents −ab^2•(2a^0b^-4)^-4•2a^4b^-1
Answer:
-a^5b^17/8
Step-by-step explanation:
line a passes through the points (3,4) and (-1,2). line b passes through the points (-12,0) and (-6,-4). at what point do the lines intersect
Answer:
The point of intersection of the two lines is;
(-9,-2)
Step-by-step explanation:
What we have to here is to get the equation of both lines, solve simultaneously and get the intersection points
For the first line;
The general form is
y = mx + b
formula for the slope is;
m = (y2-y1)/(x2-x1)
The points (3,4) and (-1,2)
m = (2-4)/(-1-3) = -2/-4 = 1/2
So the equation is;
y = 1/2x + b
To get b, let us substitute coordinates of the first point;
4 = 1/2 * 3 + b
4 = 3/2 + b
b = 4 - 3/2
b = (8-3)/2 = 5/2
So the equation is;
y = 1/2x + 5/2
For the second line;
Slope;
m = (-4-0)/(-6+12) = -4/6 = -2/3
The equation is;
y = -2x/3 + b
Let us substitute the first
0 = -2/3(-12) + b
0 = 8 + b
b = -8
The equation is;
y = -2x/3 - 8
Now , we want to get the intersection point
To do this, we have to solve both equations simultaneously;
Since we have an expression for y in both cases, let us equate both y
-2x/3-8 = 1/2x + 5/2
Multiply through by 6
-4x - 48 = 3x + 15
-4x-3x = 15 + 48
-7x = 63
x = 63/-7
x = -9
To get x;
Recall;
y = -2x/3 - 8
y = -2/3(-9) - 8
y = 6 - 8
y = -2
log2 (X^2+3x+2)=1 state the universe and solve each of the following for x.
By "state the universe" I suppose you mean "domain". log₂(x ² + 3x + 2) is defined for
x ² + 3x + 2 = (x + 1) (x + 2) > 0 → x < -2 or x > -1
(To solve the inequality, consider values of x between the ones that make the expression exactly equal to 0, in this case x = -2 and x = -1. We have, for instance, for x = -3, that (-3)² + 3(-3) + 2 = 2 > 0, so x ² + 3x + 2 > 0 for all x < -2.)
Now solve the equation: Write both sides as powers of 2 to eliminate the logarithm on the left:
[tex]\log_2(x^2+3x+2)=1\implies 2^{\log_2(x^2+3x+2)}=2^1\implies x^2+3x+2=2[/tex]
Solve the remaining quadratic:
x ² + 3x + 2 = 2
x ² + 3x = 0
x (x + 3) = 0
x = 0 or x = -3
Both of these solutions are within the presribed domain (-3 < -2 and 0 > -1), so we're done.