Answer:
[tex]3(4 {x}^{2} {y}^{3} + 2 {x}^{3}) - 4(9 {x}^{3} {y}^{2} - 6 {x}^{2} {y}^{3} ) \\ = (12 {x}^{2} {y}^{3} + 6 {x}^{3} ) - (36{x}^{3} {y}^{2} - 24{x}^{2} {y}^{3}) \\ = (12 {x}^{2} {y}^{3} + 6 {x}^{3} ) + ( - 36{x}^{3} {y}^{2} + 24{x}^{2} {y}^{3}) \\ = - 36{x}^{3} {y}^{2} + 36x^{2} {y}^{3} + 6 {x}^{3} [/tex]
I hope I helped you^_^
Find three consecutive even numbers
such that the sum of three times the
smaller number and five times the larger
number is 40 more than twice the median
number.
Answer:
1, 4, 9
Step-by-step explanation:
1 x 3 = 3
9 x 5 = 45
total = 48
median = 4
twice median = 4×2
= 8
sum = 8 + 40 = 48
48=48
20 PTS + Brainliest. Please find the size of the blue area, explain your work.
here is answer, hope u understand:)
Please help!
Please explain your answer because I need to learn this!
Find the measure of angle theta.
Answer:
48.2
Step-by-step explanation:
We have a right angle so we can do our three trig ratios,
Sine Cosine Tangent
Remeber SOHCAHTOA.
We are given some angle theta, and we are given a side adjacent to the angle and the hypotenuse. We are going to use the cosine rule.
[tex] \cos(theta) = \frac{36}{54} [/tex]
[tex] \cos(theta) = \frac{2}{3} [/tex]
Take the inverse of both sides
[tex] \cos {}^{ - 1} ( \frac{2}{3} ) = x[/tex]
Theta is equal to
[tex]48.2[/tex]
AAAAAAAAAAHHHHHHHHHHHH
Answer:
[tex] \sqrt{45 {x}^{2} } + \sqrt{5 {x}^{2} } + 4x \sqrt{5} \\ = 3 \sqrt{5} x + \sqrt{5} x + 4x \sqrt{5} \\ = 8x \sqrt{5} \\ thank \: you[/tex]
Which is a reasonable first step that can be used to solve the equation 2(x+6) = 3(x-4) +5? O Combine like terms, 3 and 5, on the right side of the equation. O Distribute 2 to (x + 6) and 3 to (x – 4). O Distribute 2 to x on the left side of the equation and 3 to x on the right side of the equation. O Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side. Save and Exit Mark this and return Next Submit
Answer:
Distribute 2 to (x + 6) and 3 to (x – 4).
Step-by-step explanation:
While solving for:
2(x+6) = 3(x-4) + 5
Firstly, we need to open the parenthesis. For this, we've to distribute 2 to (x+6) and 3 to (x-4).
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Select the two values of x that are roots of this equation.
2x^2+ 1 = 5x
Answer:
[tex]\frac{5+\sqrt{17}}{4}[/tex], [tex]\frac{5-\sqrt{17}}{4}[/tex]
Step-by-step explanation:
One is asked to find the root of the following equation:
[tex]2x^2+1=5x[/tex]
Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:
[tex]ax^2+bx+c=0[/tex]
Change the given equation using inverse operations,
[tex]2x^2+1=5x[/tex]
[tex]2x^2-5x+1=0[/tex]
The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}[/tex]
Simplify,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}[/tex]
[tex]\frac{5(+-)\sqrt{25-8}}{4}[/tex]
[tex]\frac{5(+-)\sqrt{17}}{4}[/tex]
Rewrite,
[tex]\frac{5(+-)\sqrt{17}}{4}[/tex]
[tex]\frac{5+\sqrt{17}}{4}[/tex], [tex]\frac{5-\sqrt{17}}{4}[/tex]
help, i will give u brainly. ASPA
Answer:
I need more information
Step-by-step explanation:
Jfjdkdjdjdndkdknskdd
Answer:
6, 24, 30, 48, 66
1, 4, 5, 8, 11
Step-by-step explanation:
Just by the first column we know that the scale ratio is 6. To find the second one we will multiply (6 * 4 = 24). To find the third one we will divide (30 / 6 = 5). To find the fourth one we will mulyiply (8 * 6 = 48). To find the fifth one we will divide (66 / 6 = 11).
Best of Luck!
Find the kinetic energy if a body is of mass 10 kg moving with a velocity of 20 m/s
Answer:
2000 J
Step-by-step explanation:
We know that
KE = ½ mv²
KE = ½ × 10 × (20)²
KE = 5 × 400
KE = 2000 J
Now we have to,
find the required kinetic energy.
The formula we use,
→ KE = 1/2 mv²
The given information is,
→ Mass (m) = 10 kg
→ Velocity (v) = 20 m/s
Let's find the kinetic energy,
→ 1/2 mv²
→ 1/2 × 10 × (20)²
→ 5 x 400
→ [2000 J]
Thus, kinetic energy is 2000 J.
How many times smaller is the value 29,000 than the value 290,000
factorize
a square -
Answer:
FOIL stands for multiply the first, outside, inside, and last terms together. When you FOIL a binomial times itself, the product is called a perfect square. For example, (a + b)2 gives you the perfect-square trinomial a2 + 2ab + b2.
Step-by-step explanation:
What is the value of n in the equation 3(4n+ 5) = -7n-23?
Answer:
n= -2
Step-by-step explanation:
3(4n+5)=-7n-23
expand brackets
12n + 15 =-7n-23
collect like terms
12n + 7n= -23-15
19n= -38
dividing throughout by 19
19n/19=-38/19
n= -2
Answer:
n = -2
Step-by-step explanation:
3(4n+5)= -7n -23
Distribute the 3,
12n + 15 = -7n -23
subtract 15 from both sides,
12n = -7n -38
add 7n to both sides,
12n + 7n = -38
simplify,
19n = -38
divide both sides by 19,
n = -2
O
10 20 30 40 50 60 70 80 90
20. How far apart are Arthur and Jamie? Round
the nearest tenth of a meter.
-16
21. Who is closer to Cameron? Explain.
22. The soccer ball is located at the point (35,60
Who is closest to the soccer ball?
The distance between two points on the coordinate geometry is [tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex].
The distance between Arthur and Cameron is 45.3 mJamie is closer to Cameron than ArthurArthur is the closest to the soccer ballFrom the attachment, we have:
[tex]A = (20,35)[/tex] --- Arthur
[tex]J = (45,20)[/tex] -- Jamie
[tex]C = (65,40)[/tex] --- Cameron
The distance between Arthur and Cameron is:
[tex]AC = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]AC = \sqrt{(20- 65)^2 + (35 - 40)^2}[/tex]
[tex]AC = \sqrt{2050}[/tex]
[tex]AC = 45.3m[/tex]
Hence, the distance between Arthur and Cameron is 45.3 m
To determine the closest to Cameron, we simply calculate the distance between Cameron and Jamie
[tex]CJ = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]CJ = \sqrt{(45 - 65)^2 + (20 -40)^2}[/tex]
[tex]CJ = \sqrt{800}[/tex]
[tex]CJ = 28.3m[/tex]
By comparison, 28.3 m is less than 45.3 m.
Hence, Jamie is closer to Cameron than Arthur
Also, we have:
[tex]S=(35,60)[/tex]
To determine the closest to the soccer ball, we simply calculate the distance between each person and the ball using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]AS = \sqrt{(20 - 35)^2 + (35 - 60)^2} = \sqrt{850} =29.2[/tex] --- Arthur
[tex]JS = \sqrt{(45 - 35)^2 + (20 - 60)^2} = \sqrt{1700} =41.2[/tex] --- Jamie
[tex]CS = \sqrt{(65 - 35)^2 + (40 - 60)^2} = \sqrt{1300} =36.1[/tex] --- Cameron
By comparing the calculated values, 29,2 is the smallest.
Hence, Arthur is the closest to the soccer ball
Read more about distance at:
https://brainly.com/question/17207276
Help!!! can someone help me solve this page im getting really confused I will mark you brainliest ☆ if you help me solve this :)
4 no. one i guess 10
not sure
1. What would you think "11 more than a number" would look like if you wrote it as a function ( don't use spaces in answer and use x for variable)
Answer:
11+x
Step-by-step explanation:
Let the number be x
11 more than the more will be
11+x
. What is the sum of the first 4 multiples of 3?
The cost of making a cheese cake is RM45. In
a day, Vivian can make p cheese cakes. Write a
formula of the total cost, K, in RM, of making
cheese cakes for 5 days.
Answer:
CHEESE
Step-by-step explanation:
SKDMALSD
pls help if you know how to answer it
Answer:
a = 1
Step-by-step explanation:
Adding 3 as x into the equation will give you 2(3) + y = 7. 3 x 2 = 6, so now the equation is 6 + y = 7.
Now subtract 6 from both sides of the equation to get y by itself, so you'll have y = 1.
CHECK:
2(3) + 1 = 7
6 + 1 = 7
7 = 7 ⇆
Step-by-step explanation:
2x+y=7
2×3+y=7
6+y=7
y=7-6
y=1
50 points hurry!!!!!
find what belongs in the missing/blocked out line.
Answer:
4+7(11)
Step-by-step explanation:
the square root of 121 is 11 so it would be 4+7(11)
Answer:
4 + 7 × 11
Step-by-step explanation:
[tex]4 + 7 \sqrt{ {5}^{3} - 4} [/tex]
[tex] = 4 + 7 \sqrt{125 - 4} [/tex]
[tex] = 4 + 7 \sqrt{121} [/tex]
simplify the square root of 121
[tex] \boxed{\green{\boxed{\bold{= 4 + 7 \times 11}}}}[/tex]
[tex] = 4 + 77[/tex]
[tex] = 81[/tex]
┈➤ . . ⇢ ˗ˏˋ⌦ ..♡ˎˊ˗ ꒰✈꒱
╭─────────
┊╭─────────
┊✿꒷꒦ Thankyou
╰─────────
★ . ꜝꜞ ᳝ ࣪ hope that helped! ʬʬ
what is the first term, common difference, and 16th term
Answer:
The 1st term is -67
Step-by-step explanation:
I. When Sn = [tex]\frac{n}{2}[/tex]([tex]a_{1} + a_{n}[/tex])
If Sn = 124, n = 8 and [tex]a_{n}[/tex] = 98
124 = 8/2(a + 98)
124 = 4(a + 98)
124 = 4a + 392
124 - 392 = 4a
-268/4 = a
-67 = [tex]a_{1}[/tex]
Hope that help :D
The perimeter of an equilateral triangle is 15 inches more than the perimeter of a square, and the side of the triangle is 7 inches longer than the side of the square. What is the side of the triangle?
Answer:
13 inches
Step-by-step explanation:
in an equilateral triangle all sides had we the same length.
so, the perimeter is simply 3×one triangle side.
and the perimeter of the square is 4×one square side.
x = triangle side length
y = square side length
3x = 4y + 15
x = y + 7
we use the second equation as substitution in the first equation.
3(y + 7) = 4y + 15
3y +21 = 4y + 15
6 = y
x = y + 7 = 6 + 7 = 13 inches
Help me out plzzzzzz
Answer:
∠1 = 56
Step-by-step explanation:
To find ∠1 we need to
∠1 + ∠2 = ∠ABD
∠1 + 17 = 75
∠1 = 75 -17
∠1 = 56
Leedle Leedle Leedle
Which decimal is equal to the following fraction?
23/24
Answer:0.95833333333333.
Step-by-step explanation:
Which decimal is equal to the following fraction?
Answer: 0.95833333333333
What is equivalent to -23?
Last year, the Widget Corporation had $650,000 in sales. This year, sales are
down 4%. How much did the Widget Corporation sell this year?
Answer:
$624,000
Step-by-step explanation:
100-4 = 96
96/100 = 0.96
650,000 x 0.96 = 624,000
= $624,000
You are looking at your power bill for the month, you pay 12 cents per kilowatt-hour. Your power bill came out to $99.89 how many KWH of energy were used in your house this month?
Answer:
832.42
Step-by-step explanation:
.12 per KWH x KWH = 99.89
KWH = 99.89/.12
KWH = 832.42 hours
(√2+√3) ^2
answer faaaaaaaaaaaaast
Answer:
2.5
Step-by-step explanation:
Answer:
[tex]thank \: you[/tex]
Can someone answer this ASAP?
NO IMAGE EXAMPLES PLEASE I CANT SEE THEM
Answer:
6.3Step-by-step explanation:
Given,
Area of a triangle = 40
Therefore,
Side of the square
[tex] = \sqrt{40} [/tex]
= 6.3245553203
= 6.3 (estimated) (Ans)
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2 + 5y = –20
Answer:
Submit Answer
PLS HEP ASAP
same as we did for the other question,
5y=-x-20
then divide the 5
y= (-1/5)x-4
Find f(4) for the function below.
f(x) = |x-7| + 3
Step-by-step explanation:
f(x) = |x-7| + 3
when x is equal to 4, then
f(4) = |4-7| + 3
=-3+3
=0
Answer:
[tex]\boxed {\boxed {\sf f(4)= 6}}[/tex]
Step-by-step explanation:
We are asked to find f(4) for a function. We are finding the output or y-value when the input or x-value is 4.
[tex]f(x)= |x-7| +3[/tex]
Substitute 4 for x in the function.
[tex]f(4) = |4-7| +3[/tex]
Solve inside the absolute value signs.
[tex]f(4)= |-3|+3[/tex]
The absolute value of a number is its distance from 0 on a number line. It is always the positive version of a number, so the absolute value of -3 is 3.
[tex]f(4)= 3+3[/tex]
Add.
[tex]f(4)= 6[/tex]
For the function f(x)= |x-7| +3, f(4) is equal to 6.