Answers
Answer:
second option
Step-by-step explanation:
Pythagoras for right-angled triangles :
c² = a² + b²
c is the Hypotenuse, the line opposite of the 90 degree angle.
a and b are the other 2 sides.
the distance between 2 points is the Hypotenuse of a right-angled triangle of the coordinate differences in x and y.
so, we have (-2, -3) and (3, 2)
distance² = (x1 - x2)² + (y1 - y2)² = (-2 - 3)² + (-3 - 2)² =
= (-5)² + (-5)² = 25 + 25 = 2×25 = 50
distance = sqrt(50) = sqrt(2×25) = 5×sqrt(2)
Related Questions
A steel ball has a volume of 1500 cm.
The density of the ball is 95 g/cm'.
Find the mass of the ball in kg.
Answers
Answer:
m=15.78
Step-by-step explanation:
density = volume / mass
subtitute values:
95= 1500/ mass
mass = 1500/95
m= 15.78
Solve for p.
−160=22+8(3p−4)
Answers
Answer:
[tex]p=-6.25[/tex] or [tex]p=\displaystyle-\frac{25}{4}[/tex]
Step-by-step explanation:
[tex]-160=22+8(3p-4)[/tex]
Our goal here is to isolate p on one side of the equation. We will do this by performing inverse operations on both sides.
Subtract 22 from both sides:
[tex]-160-22=22+8(3p-4)-22\\-182=8(3p-4)[/tex]
Divide both sides by 8:
[tex]-22.75=3p-4[/tex]
Add 4 to both sides:
[tex]-22.75+4=3p-4+4\\-18.75=3p[/tex]
Divide both sides by 3:
[tex]-6.25=p[/tex]
You can also convert this into a fraction:
[tex]p=\displaystyle-\frac{25}{4}[/tex]
I hope this helps!
A line passes through (2, −1) and (4, 5).
Answers
Answer:
The Equation of the Line that Passes through the Points (2, −1) and (4, 5) is 3x - y - 7 = 0.
Hope it helps you.Find the area of a triangle with legs that are: 9 mm, 6 mm, and 12 mm.
A. 26.1 mm
B. 12.3 mm
C. 11.6 mm
D. 37 mm?
Answers
Answer:
Step-by-step explanation:
a = 9 mm ; b = 6 mm ; c = 12 mm
S = (a + b +c) / 2
[tex]= \dfrac{9 + 6 + 12}{2}\\\\= \dfrac{27}{2}\\\\= 13.5 \ mm[/tex]
S - a = 13.5 - 9 = 4.5 mm
s -b = 13.5 - 6 = 7.5 mm
s -c = 13.5 - 12 = 1.5 mm
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]= \sqrt{13.5 * 4.5 * 7.5 * 1.5} \\\\= \sqrt{683.4375} \\\\=26.1 \ mm^{2}[/tex]
If l=5 and b=3 ,find the values of L*B
Answers
Answer:
The value of L×B is 15
Step-by-step explanation:
L×B
5×3
15
Answer:15
Step-by-step explanation:
Help me on this please please
Answers
New area: 60
Larger: by 12
HELP PLEASE!! VERY MUCH APPRECIATED!!
find an equation for the graph of the set of points whose distances from (6,0) and (-6,0) always add up to 20 (ellipse equation)
Answers
Answer:
1.3445367773335334434333233332
Your fitness tracker says you ran 2,640 yards on your most recent run. How many miles is that?
Answers
Answer:
1.5 miles.
Step-by-step explanation:
You can figure it out by dividing the yards by 1760.
Answer:
1.5 miles
Step-by-step explanation:
A mile is 1760 yards
2640 yds * 1 mil/1760 yds = 2640/1760 = 1.5 miles
expressions by combining terms.
Simplify the
1. -2(x 3) + 4x
2. 4x - 3+ 6 + 7 – 10x
3. (6a + 3x - (4a - 7x)
4. (15x – 3y) + (-12x - y)
Answers
Step-by-step explanation:
hope you understand I've shown the process in the picture.
Sierra was swimming 50 yards in a race.
When she was ten seconds in the race,
she already swam 60% of the race. How
many yards has she swam?
Answers
Answer:
30 yards
Step-by-step explanation:
50 x .60 = 30 yards
All of the following are rational numbers except____.
Answers
Answer:
3.14159
Explanation:
pi is irrational
Hope this helps!! <3
3(x - 5) = 30
I dont know how to solve this
Answers
Answer:
x=15
Step-by-step explanation:
3(x-5)=30
First, you would distribute the three to the x and the negative five.
3x-15=30
Then you would add 15 to the 15 to cancel it and to the 30 to make it even.
3x-15=30
+15=+15=
3x=45
Finally, you would divide 3 into both sides, cancelling out the three and fiving you,
x=15
Hope this helped!
Start by distributing the 3 through the parenthses on the left side.
This gives us 3x - 15 = 30.
Now add 15 to both sides to end up with 3x = 45.
Dividing both sides by 3, we fin that x = 15.
Anybody good in math and wanna help me on #1 or 2?
Answers
Answer:
#1 all real numbers except 0 and 3
#2 the first option
i will give brainliest to correct answer
-2^6(-5x+10)=100 solve for x
Answers
Answer:
x = [tex]\frac{37}{16}[/tex]
Step-by-step explanation:
I did this before
2. Taj works as a hydrologist for the federal government. He earns an annual salary of $82,900. In addition, he earns a bonus equal to 6% of his annual salary, which is $4,974. What is Taj's annual gross pay? Your answer
Answers
Step-by-step explanation:
Please marks me as brainliests..please for my effort...and follow me...find the length indicated.
Answers
Answer:
none
Step-by-step explanation:
RJ trips over his shoe laces every 15 steps. Matthew says "gottem" every 6
seconds. If the boys both start walking down the hall at the same time,
how many seconds will pass before RJ trips & Matthew says "gottem" at
the same time? *
Answers
Answer:
69 seconds, or 1 minute and 9 seconds
Step-by-step explanation:
Findi the value of x
Answers
Answer:
By Pythagoras theorem ,
H^2 = P^2 + B^2
H^2 = 4^2 + 3^2
H^2 = 16 + 9
H^2 = 25
H = 5
therefore , value of x = 5
hope that helps uh..☺
Answer:
x = 5
Step-by-step explanation:
Since it's a right triangle, you can use Pythagorean Theorem.
[tex]a^2+b^2=c^2\\3^2+4^2=x^2\\9+16=x^2\\25=x^2\\5=x[/tex]
What is the area of this figure?
4 m
3 m
2 m
3 m
2 m
9 m
6 m
5 m
Write your answer using decimals, if necessary.
square meters
Answers
Answer:
63
Step-by-step explanation:
Area = large rectangle + small rectangle + triangle
A = (L1 * W1) + (L2 * W2) + 1/2 base * heigth)
A = (9 * 5) + (2 * 3) + 1/2(((2 + 5 + 2) - (3)) * 4))
A = 45 + 6 + 1/2((9 - 3) * 4)
A = 51 + 1/2(6 * 4)
A = 51 + 1/2(24) = 51 + 12 = 63
Find the value of x
Picture shown!
Answers
subsitute 9x-2y=14 7x+3y=20
Answers
Answer:
hope it helps you..........
Help pls i would realy appreciate it.
Answers
Answer:
Bot #10 will click more times in `10` seconds than Bot #9.
Step-by-step explanation:
Already did this last year
hope this helps
Answer:
bot - 10 make more clicks according to me.
Each time Benji plays his Colour Tokens
favourite computer game
red 12
he earns one token. The
blue
table shows the tokens
green
34
he has earnt so far.
What is the relative frequency of red?
14
c.it
Answers
Find the length of [tex]30kx^{2} +6kx^{2}[/tex]
Answers
Answer:0
Step-by-step explanation:
let k=1 and x= 0
30 * 1 *0 + 6 * 1 * 0
0 ANs
10- 3/4z = 8
Somebody, please help me! I don't get this!
Answers
Answer:
z = 8/3
Step-by-step explanation:
10- 3/4z = 8
Subtract 10 from each side
10-10- 3/4z = 8-10
-3/4z = -2
Multiply each side by -4/3
-3/4z * -4/3 = -2 *4/3
z = 8/3
8a=4(a-9)
Show work I need help
Answers
Answer:
a = -9
Step-by-step explanation:
8a=4(a-9)
Divide each side by 4
8a/4=4(a-9)/4
2a = a-9
Subtract a from each side
2a-a = a-9-a
a = -9
Answer:
-9
Step-by-step explanation:
8a = 4(a-9)
Use the distributive property (Multiply 4 times a, and 4 times -9)
8a = 4a - 36
Bring the 4a to the other side
8a - 4a = -36
Add like terms
4a = -36
Divide both sides by 4 to get a by itself
a = -9
35 POINTS
Hi I need help with this problem please
Solve the combined inequality.
Items in a store range from $1.85 to $12.83 including tax.
What range of values describes the total purchase price for 5 items?
Enter your answer by filling in the boxes.
≤x≤
Answers
Answer:
9.25≤x≤64.15
Step-by-step explanation:
The smallest amount would be 5 of the least priced item
5 * 1.85 =9.25
The largest amount would be 5 of the greatest priced item
5 * 12.83 =64.15
9.25≤x≤64.15
JC is making a poster for Bike Safety Week. The diameter of circle A is 16 in.
If the area of circle B is of the area of circle A, what is the area of circle B? Use = 3.14.
Answers
Answer:
Circle B has an area of 200.96 in².
Step-by-step explanation:
π = 3.14
radius of circle A = diameter of circle A/2
= 16 in/ 2 = 8 in.
Area = πr² = (3.14)(8²)
= (3.14)(64)
= 200.96 in²
Solve. x/8 + 2 = 27
Answers
Multiply 8 to both sides:
x+16=216
Subtract 16 to both sides:
x=200
2.)Name the number system in which only the whole number less than 5 are used:
Answers
Answer:
(a) x = 40°
Step-by-step explanation:
(2x+43)°+(2x-3)°=180°
4x+40°=180°
x=40°