Step-by-step explanation:
as you can see, the distance between 2 points can always be seen as the Hypotenuse or baseline of a right-angled triangle created by the differences of the x and y coordinates of both points.
the drawn triangle is nothing else than that.
to calculate the length of a side in such a triangle we need to use Pythagoras :
c² = a² + b²
c is the Hypotenuse of baseline of the triangle and is opposite of the 90 degree angle.
a and b are the legs of the triangle "enclosing" the 90 degree angle.
so, we have
AB² = AC² + BC²
AC and BC we know : the coordinate differences in x and y directions.
AC = (4, 5) to (4, 2). as the x coordinates are the same, the difference is just the difference in the y coordinates : 5-2 = 3.
BC = (1, 2) to (4, 2). as the y coordinates are the same, the difference is just the difference in the x coordinates : 5-1 = 3.
AB² = 3² + 3² = 9 + 9 = 18
AB = sqrt(18)
FYI : sqrt(18) = sqrt(9×2) = 3×sqrt(2)
Express as a power of 2
(2/root8)^3
[tex]\left(\dfrac{2}{\sqrt 8} \right)^3\\\\\\=\left(\dfrac{2}{2\sqrt 2} \right)^3\\\\\\=\left(\dfrac 1{\sqrt 2} \right)^3\\\\\\=\left[\left(\sqrt2 \right)^{-1} \right]^3\\\\\\=\left(\sqrt 2 \right)^{-3}\\\\\\=\left(2^{\tfrac 12} \right)^{-3}\\\\\\=2^{-\tfrac 32}[/tex]
If i can get 2 Amy's organic soup for $4 how much would it be for 1 Amy's organic soup?
Answer: $2
Step-by-step explanation:
just do 4 divided by 2 and your answer is 2
Answer:
$2 for 1 Amy's Organic Soup
Step-by-step explanation:
Since 2 of Amy's Organic Soup is = $4
Divide to find the Unit Rate for the cost of 1 soup.
Let x = Cost of Amy's Organic Soup
$4 = 2x
$4/2 = 2x/2
$2 = x
Solve for b.
8b−1=24b+4
ans = -7
Answer:
Step-by-step explanation:
yeah your answer was wrong so you clearly need help
8b-1=24b+4
subtract 4 from both sides
8b-5=24b
subtract 8b from both sides
-5=16b
divide by 16
b=-5/16
Answer:
b = -5/16
Step-by-step explanation:
8b - 1 = 24b + 4
8b - 24b = 4 + 1
-16b = 5
16b = -5
b = -5/16
Find the area of the rectangle
9mm and 16mm?
Answer:
144mm or 14.4 cm
Step-by-step explanation:
9 × 16 = 144mm
144mm = 14.4 cm
Tell whether the set of ordered pairs {(1, 2), (4, 10), (7, 17), (10, 22)} satisfies a linear function Explain.
Answer is A
No; there is no constant change in x that corresponds to a constant change in y.
Luoa is not easy , I know that for a fact.
The slope of the line is not constant hence it does no satisfies the condition of a straight line therefore non-linear.
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x,y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
Given a set of ordered pairs {(1, 2), (4, 10), (7, 17), (10, 22)}.
The first pair is y = 2x.
The second pair is 4y = 10x ⇒ y = (10/4)x ⇒ y = (5/2)x.
So, we can conclude that the slope of the line is not constant hence it does no satisfies the condition of a straight line therefore non-linear.
learn more about ordered pairs here :
https://brainly.com/question/28874333
#SPJ2
hii I need help with this I really don't get it and I'm like, bad at Functions and stuff like that, I hope this doesn't trouble you :(
Please help! I will give points <3
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{b - 6a}\\\large\textsf{= \boxed{\textsf{44}} - 6\boxed{\textsf{(3)}}}\\\large\textsf{= 44 - 18}\\\large\textsf{= 26}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\textsf{26}}}}\huge\checkmark\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]
Parallel lines m and n are cut by the transversal line t prove <1 and <4 are supplementary move options to the boxes to complete the proof
PLEASE HELP IT’S TIMED!!!! 50 POINTS!!!
Use point-slope form to write the equation of a line that passes through the point (-1, -7) with slope 3 4 - -
Answer:
y = 3/4x - 6 1/4
Step-by-step explanation:
I hope that the slope 3 4 - - means 3/4
Slope = 3/4
Using slope = 3/4 and the point (-1, -7) substitute into y = mx + b and solve for "b"
y = mx + b
-7 = 3/4(-1) + b
-7 = -3/4 + b
-7 + 3/4 = b 3/4 as a decimal = .75
-7 + .75 = b
-6.25 = b
The equation of the line is y = 3/4x - 6.25 or y = 3/4x - 6 1/4
each ball has a diameter of 60mmwhich container has the smaller surface area?
Answer this and explain please
Answer:
x = 3
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle:
15x + 5 + 22x + 4 = 120 add like terms
37x + 9 = 120 subtract 9 from both sides
37x = 111 divide both side by 37
x = 3 and to find the angles replace x with 3 in given expressions
Guys need help with c,f,g,j
Answer:
Step-by-step explanation:
ill give brainlist again! :( help?
Answer:
3769.91 cm³
Step-by-step explanation:
For Small Cylinder:
Volume = height × π × r²
Volume = 12 cm × π × 10² cm
Volume = 3769.91 cm³
For Large Cylinder:
Since the larger cylinder is double the size of the small cylinder we have to double the height and radius.
Volume = (height × 2) × π × (r × 2)²
Volume = (12 × 2) × π × (10 × 2)²
Volume = 24 cm × π × 20²
Volume = 30159.29 cm³
Answer:
Below.
Step-by-step explanation:
The volume of the smallest cylinder
= πr^2h
= π*10^2*12
= 1200π cm*3.
Now as the radius and height of the large cylinder are 2 times the radius and height of the small one
Volume of the large cylinder = 2^3 = 8 times the volume of the small one
= 8* 1200π
= 9600π cm^3.
The inequality −3 < x is equivalent to the inequality x > −3.
2+2 1,000,000,000+1,000,000,000
Answer:
22,000,000,002
Step-by-step explanation:
Hope it helps you
Answer:
Step-by-step explanation:
22,000,000,002
Find the value of x and y
Answer:
x=4
y=5
Step-by-step explanation:
because this lines are all parallel, so 17x-y equals to 180°-117°= 63, then you get 17x-y = 63
also, equally you can get the below one
6x+7y = (180°-121°)
6x+7y = 59.
put them together
17x-y=63 (1)
6x+7y =59 (2)
you can transform the (1) to y= -(63-17x)
then you get the second one
6x+7(-(63-17x))=59
then you get x
finally you get the result of x into any of the equation
you get y ultimately.
Trinity already has $135 dollars in her savings account. If she puts $15 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $480 in her account.
Answer:
let x stand for number of weeks
135+15x>=480
x>=23
Step-by-step explanation:
subtract 135 on both sides
15x>=345
divide by 15 on both sides
x>=23 is your solution
Answer:10
Step-by-step explanation:
10
r(m)r(m)r, left parenthesis, m, right parenthesis models the average monthly rainfall (in millimeters) in Tanzania for the years 190019001900-200920092009 as a function of the month number mmm.
Month # Rainfall (millimeters)
111 145145145
222 135.8135.8135, point, 8
333 179.1179.1179, point, 1
444 171171171
555 64.864.864, point, 8
666 12.612.612, point, 6
777 8.48.48, point, 4
888 8.98.98, point, 9
999 15.715.715, point, 7
101010 29.529.529, point, 5
111111 83.883.883, point, 8
121212 142.6142.6142, point, 6
Which number type is more appropriate for the domain of rrr?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Integers
(Choice B)
B
Real numbers
What's the appropriate domain?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
0\le m\le 179.10≤m≤179.10, is less than or equal to, m, is less than or eq
Answer:
Integers
1</ M </ 12
Step-by-step explanation:
Khan Aacademy
2/5+3/10/−7/9pls hlp
[tex] \frac{2}{5} + \frac{3}{10} - \frac{7}{9} \\ = \frac{2 \times 18 + 3 \times 9 - 7 \times 10}{90} \\ = \frac{36 + 27 - 70}{90} \\ = \frac{ - 7}{90} [/tex]
Answer:[tex] \frac{ - 7}{90} [/tex]
Answer:
5
52
52
52 +
52 + 10
52 + 103
52 + 103
52 + 103 −
52 + 103 − 9
52 + 103 − 97
52 + 103 − 97
52 + 103 − 97
52 + 103 − 97 =
52 + 103 − 97 = 90
52 + 103 − 97 = 902×18+3×9−7×10
52 + 103 − 97 = 902×18+3×9−7×10
52 + 103 − 97 = 902×18+3×9−7×10
52 + 103 − 97 = 902×18+3×9−7×10 =
52 + 103 − 97 = 902×18+3×9−7×10 = 90
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 =
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90}
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90−7
52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90−7
Please help with this as well! Mind to give the explanation too? Just so I know
Answer:
i found out how to get 50
Step-by-step explanation:
14 + 18 x 2 = 50
7 2/9 + -5 1/5 =
show your work, show me how you got this answer pls double check!!!!!
D;
If $150 is shared among 25 people, how much does each person receive?
enumerate all the given.
if 15,000 pesos is deposited in an account that pays 5% compounded annually, How much will be in the account after 8 years?
Answer:
22161.83 pesosStep-by-step explanation:
Given:
Deposit P = 15000Rate of interest r = 5% = 0.05Compound number n = 1Time t = 8Amount after 8 years:
A = P(1 + r)^tA = 15000(1 + 0.05)^8 = 22161.83Rate of interest=r=0.05
So
Amount
P(1+r)^t15000(1+0.05)⁸15000(1.05)⁸22161.83 pesosy + 2x = 2 and y + 4x = 0?
Answer:
y=4
Step-by-step explanation:
y+2x=2
2(y+2x)=2(2)
2y+4x=4
(2y+4x)-(y+4x)=4-0
y=4
Hyung-Jin did an analysis of starting salaries of elementary school teachers in his area. He called three schools and was quoted the following salaries: \$28,300,\$27,000 , and $ 3,000, . What is the average salary in his area? Show your work.
Answer:
average - $19,333.33
Step-by-step explanation:
$28,300, $27,000 , and $ 3,000
total =58,000/3 = 19,333.33
(ASAP) I really need help on this I have a C- in Math right now and( I NEED TO GET UP MY GRADE) plsssss
Answer:
answer is <
Step-by-step explanation:
first equation is equal to 6 and the other is equal to 7
What percentage of businesses are using social media today? 35 percent 50 percent 65 percent 80 percent
Answer:
80
Step-by-step explanation:
Find the value for each variable.
Step-by-step explanation:
3x=21
x=21/3 = 7.
hope this helps.
EXAMINE THE PARAGRAPH PROOF. WHCIH THEOREM DOES IT OFFER PROOF FOR?
Answer:
The answer is C.
Step-by-step explanation:
The theory of vertical angles, often known as the theorem of vertically opposite angles. According to the theorem, two opposed vertical angles created when two lines cross one other are always equal (congruent) to each other no matter what the circumstances are.