Answer:
(8, -15)
Step-by-step explanation:
Midpoint formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2})[/tex]
where [tex](x_1,y_1)[/tex] is the first point (T) and [tex](x_2,y_2)[/tex] is the second point (S)
Step 1. plug in what we have so far into the midpoint formula
[tex](\frac{0+x_2}{2} ,\frac{5+y_2}{2} )[/tex]
but remember, the midpoint is (4, -5)
Step 2. solve for point (S)
The first coordinate of point (S) is the x-coordinate. And to solve for the x-coordinate, (since they're being divided by 2) multiply 2 by 4 (the x-coordinate of the midpoint)
[tex](\frac{0+8}{2},\frac{5+y_2}{2})[/tex]
... (hard to explain for the y-coordinate of point (S))
Point S = [tex](8,-15)[/tex]
algebra 2 help please????
Answer:
Sqrt(-108)=6i*sqrt(3)
Step-by-step explanation:
-108=3*6*6*(-1). Sqrt(-108)=6i*sqrt(3) where i is iota
hlo tell me the answer fast plz
Answer:
hi you said u can answer my qweshion
Step-by-step explanation:
factor of -2800 and -2
Answer:
isn't it just -2 it's the greatest common factor (GCF) of -2800 and -2
Step-by-step explanation:
pls find X in the following image :)
Answer:
37 degees
Step-by-step explanation:
..........m.........
Answer:
x=37
Step-by-step explanation:
here,
143+x=180
x=180-143
x=37
How tall are redwood trees? ( statistical not statistical
Answer:
It's a statistical question.
and there between 250-300 feet.
3.3(n-8)-n=1.2
Simplify! ::)
Answer:
n=12
Step-by-step explanation:
3.3(n-8)-n=1.2
Distribute
3.3n -26.4 -n = 1.2
Combine like terms
2.3n -26.4 = 1.2
Add 26.4 to each side
2.3n -26.4+26.4 = 1.2 +26.4
2.3n = 27.6
Divide each side by 2.3
2.3n/2.3 = 27.6/2.3
n=12
the solution to the equation is n = 12. Let's simplify the given equation step by step: [tex]\(3.3(n - 8) - n = 1.2\)[/tex]
Step 1: Distribute the 3.3 to the terms inside the parentheses:
[tex]\(3.3n - 3.3 \times 8 - n = 1.2\)[/tex]
Step 2: Perform the multiplication:
[tex]\(3.3n - 26.4 - n = 1.2\)[/tex]
Step 3: Combine like terms:
[tex]\(3.3n - n = 1.2 + 26.4\)\\\(2.3n = 27.6\)[/tex]
Step 4: Isolate n by dividing both sides by 2.3:
[tex]\(n = \frac{27.6}{2.3}\)\\\(n = 12\)[/tex]
So, the solution to the equation is n = 12.
To know more about equation:
https://brainly.com/question/8651602
#SPJ3
please help with geometry
Step-by-step explanation:
a) gradient= y2-y1/x2-x1
gradient of AB:
gradient=-4-1/2-3
=-5/-1
=5
gradient of BC:
=-5+4/7-2
=-1/5
b) as the priduct of both gradient is -1 ,both lines are perpendicular.
c) as we have seen lines are perpendicular so it is a right angled triangle.
suppose a 13 foot ladder is leaning against a building. Reaching to the bottom of a second floor window 12 ft above the ground. How far is the base of the ladder from the building? Round your answer to the nearest 10th
5 ft
4ft
3ft
6ft
Answer: First Choice. 5ft
Step-by-step explanation:
Here we need to know the idea of the Pythagorean theorem.
Since a building is straight, the base angle is a right angle, thus it would be a right triangle.
Pythagorean Theorem: a² + b² = c²
**NOTE** Please refer to the attachment below for the figure. (I drew it, so if it was not clear and understandable for you, please tell me.)
Solve:
Given information
a = 12 ft
c = 13 ft
b = unknow base length
Given formula for Pythagorean Theorem
a² + b² = c²
Substitute values into the formula
12² + b² = 13²
Simplify exponents
144 + b² = 169
Subtract 144 on both sides
144 + b² - 144= 169 - 144
b² = 25
Square root both sides
√b² = √25
[tex]\boxed{b=5}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and points***
Answer:
22:25 26:Yes 4900 27: 6 and 18 28: 44,100 and 48,024,900
Step-by-step explanation:
for 22-25 see answer #2. They gave a better answer in total.
Answer:
22. 30
prime factorization of 30
2 × 3 × 5
so there is no simplification needed here
23. 126
2 × 3 × 3 × 7
simplification
2 × × 7
24. 4900
2 ×2 × 5 × 5 × 7 ×7
simplification
25. 39204
2 × 2 × 3 × 3 × 3 × 3 × 11 × 11
simplification
26 .
Yes 4900 is a square number it's square root is 70
you can even cross-check
70 × 70
= 4900
and even 39204 is a square number it's square root is 198
you can even cross-check
198 × 198
= 39204
Hence 2 numbers 4900 and 39204 are square numbers
27 .
i. highest common factor of 30 and 126
factors of 30 are 2 × 3 × 5
factors of 126 are 2 × 3 × 3 × 7
now find common between them
common factors are 2 and 3
so multiply 2 and 3
2 × 3
= 6
6 is the highest common factor
ii. 126 and 39204
factors of 126 are 2 × 3 × 3 × 7
factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11
now find common between them
common factors are 2 × 3 × 3
= 18
18 is the highest common factor
28 .
1 . 126 and 4900
factors of 126 are 2 × 3 × 3 × 7
factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7
make the pairs of the numbers
2 ×2 × 5 × 5 × 3 × 3 × 7 ×7
= 44100 least common multiple
ii. 4900 and 39204
factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11
factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7
make the pairs of the numbers
2 ×2 × 3 x 3 x 3 x 3 x 5 x 5 x 7 x 7 x 11 x 11
= 48024900 least common multiple
Mary, Misa and Mandy have a combined height of 4.84 m. Mary is 9 cm/0.009m
shorter than Misa. Misa is 0.05 m taller than Mandy. How tall, in metres, is
Mandy?
Answer:
Mandy is 1.613 m tall
Step-by-step explanation:
Let us consider
Mary is A, Misa is B and Mandy is C
According to question,
A + B + C = 4.84 m...... (i)
From qsn
9 cm/0.009 m
= 9 cm/ 0.9 cm
= 10 cm
= 0.1 m
Then, A is 0.1 m shorter than B
i.e. A= B - 0.1 m
Also, B is 0.05 m taller than C
i.e B = C + 0.05m
We have to find height of C ( Mandy)
From eqn (i)
C = 4.84 - B - A
or, C = 4.84 - (C + 0.05) - ( B - 0.1)
or, C = 4.84 - C - 0.05 - B + 0.1
or, 2C = 4.89 - B
or, 2C = 4.89 - ( C + 0.05)
or, 2C = 4.89 - C - 0.05
or, 3C = 4.84
or, C = 4.84/3
or, C = 1.613 m
6. Write an equation for the line that passes through (-4,4) and (8,8) in point-slope
form, slope-intercept form and standard form.
Point-Slope Form:
Slope-Intercept Form:
Standard Form:
Help!!
Answer:
Point-slope form:
[tex]y-4=\displaystyle\frac{1}{3}(x+4)[/tex]
[tex]y-8=m(x-8)[/tex]
Slope-intercept form:
[tex]y=\displaystyle\frac{1}{3}x+\displaystyle\frac{16}{3}[/tex]
Standard form:
[tex]-x+3y=16[/tex]
Step-by-step explanation:
Hi there!
1) Point-slope form
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex](x_1,y_1)[/tex] is a point on the line and m is the slope
First, determine the slope:
[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the points (-4,4) and (8,8):
[tex]m=\displaystyle\frac{8-4}{8-(-4)}\\\\m=\displaystyle\frac{8-4}{8+4}\\\\m=\displaystyle\frac{4}{12}\\\\m=\displaystyle\frac{1}{3}[/tex]
Therefore, the slope of the line is [tex]\displaystyle\frac{1}{3}[/tex]. Plug this into [tex]y-y_1=m(x-x_1)[/tex]:
[tex]y-y_1=\displaystyle\frac{1}{3}(x-x_1)[/tex]
Now, for [tex](x_1,y_1)[/tex], we can either plug in (-4,4) or (8,8):
[tex]y-4=\displaystyle\frac{1}{3}(x-(-4))\\\\y-4=\displaystyle\frac{1}{3}(x+4)[/tex]
or
[tex]y-8=m(x-8)[/tex]
2) Slope-intercept form
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
[tex]y=mx+b[/tex]
Plug in the slope
[tex]y=\displaystyle\frac{1}{3}x+b[/tex]
Now, to determine the y-intercept, plug in one of the points (-4,4) or (8,8) and solve for b:
[tex]8=\displaystyle\frac{1}{3}(8)+b\\\\8=\displaystyle\frac{8}{3}+b\\\\8-\displaystyle\frac{8}{3}=b\\\\b=\frac{16}{3}[/tex]
Therefore, the y-intercept is [tex]\displaystyle\frac{16}{3}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{3}x+b[/tex]:
[tex]y=\displaystyle\frac{1}{3}x+\displaystyle\frac{16}{3}[/tex]
3) Standard form
Standard form:
[tex]Ax+By=C[/tex] where A, B, and C are numbers which are typically integers
[tex]y=\displaystyle\frac{1}{3}x+\displaystyle\frac{16}{3}[/tex]
Organize this into standard form:
[tex]-\displaystyle\frac{1}{3}x+y=\displaystyle\frac{16}{3}[/tex]
Multiply both sides by 3 so A, B, and C are integers:
[tex]-x+3y=16[/tex]
I hope this helps!
The sum of two numbers is 48 and the difference is 18. What are the numbers?
YOU WILL GET 50 OR 100 POINTS TO THE FIRST PERSON TO ANWSER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Antonio circled 72, 78, 84, and 90 on a hundreds chart. If Antonio continues his pattern, what two numbers will be next in the pattern?
Answer:
96, 102Step-by-step explanation:
We can observe the numbers 72, 78, 84, 90 form an arithmetic sequence with common difference of 6.
It can be continued by adding 6 to the last number:
90 + 6 = 9696 + 6 = 10272,78,84,90..are in AP
a=72d=6[tex]\\ \rm\longmapsto a_5=72+4(6)=72+24=96[/tex]
[tex]\\ \rm\longmapsto a_6=72+5(6)=72+30=102[/tex]
Write your answer as an integer or as a decimal rounded to the nearest tenth
Answer:
965.31sq.km
Step-by-step explanation:
Area of the triangle = 1/2 xy sina
a=52° , x=49 , y=50
area of triangle= 1/2 * 49 *50 *sin52°
area= 965.31 sq.km
Find the distance between each pair of points (-4,6) and (3,-7)
Answer:
Here is your answer . Hope this helps you.
Answer:
[tex]\boxed {\boxed {\sf \sqrt{218} \ or \ 14.76}}[/tex]
Step-by-step explanation:
The formula for calculating the distance between 2 points is:
[tex]d= \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the 2 points. The 2 points we are given are (-4, 6) and (3, -7). If we match the value with the corresponding variable we see that:
x₁ = -4 y₁ = 6 x₂ = 3 y₂ = -7Substitute the values into the formula.
[tex]d= \sqrt{(3 - -4)^2 + (-7-6)^2[/tex]
Solve inside the parentheses.
(3--4) = (3+4) = 7 (-7-6) = -13[tex]d=\sqrt {(7)^2 + (-13)^2[/tex]
Solve the exponents.
(7)²= 7*7 = 49 (-13)² = -13 * -13 = 169[tex]d= \sqrt{ (49)+(169)[/tex]
Add.
[tex]d= \sqrt{218}[/tex]
[tex]d=14.76482306[/tex]
If we round to the nearest hundredth place, the 4 in the thousandth place tells us to leave the 6.
[tex]d \approx 14.76[/tex]
The distance between the points (-4, 6) and (3, -7) is √218 or approximately 14.76.
QUICK PLEASE!!!
Consider f(x) Equals StartFraction 8 (x minus 1) Over x squared + 2 x minus 3 EndFraction.
Which statements describe the existence of vertical asymptotes at x = –3 and x = 1?
Answer:
A
Step-by-step explanation:
edge 2021
Answer:
It is A
Step-by-step explanation:
I got it right on the test Edge 2022.
The coordinates of point T are (0,4). The midpoint of ST is (1, -3). Find the coordinates of point S.
Answer:
S=(2,-2) ...............
The lines shown below are perpendicular
Answer:
Step-by-step explanation:
y=(-1/3)x + 3
What is 15 percent of 1135? Explain how you came up with your solution and the actions you took.
Answer:
170.25
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 15 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 15, so we can write it down as 100%=15.
4. We know, that x% equals 1135 of the output value, so we can write it down as x%=1135.
5. Now we have two simple equations:
1) 100%=15
2) x%=1135
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=15/1135
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 1135 is what percent of 15
100%/x%=15/1135
(100/x)*x=(15/1135)*x - we multiply both sides of the equation by x
100=0.013215859030837*x - we divide both sides of the equation by (0.013215859030837) to get x
100/0.013215859030837=x
7566.6666666667=x
x=7566.6666666667
now we have: 170.25
We have to find,
→ 15% of 1135
The value of the percentage is,
→ 15 ÷ 100
→ 0.15
Let's find the solution,
→ 1135 × 0.15
→ 170.25
Hence, the answer is 170.25.
Serena worked these hours last week: Monday 8, Tuesday 8, Wednesday 10, Thursday 5, Friday 8. She is paid
$12 per hour
how many hours did serena work last week ?
Kathy has a total of 74 songs on cassettes and CDs in her music library. Each of her cassettes has 6 songs on it, and each
CD has 10 songs. If she has a total of 9 cassettes and CDs, how many of each does she have?
Answer:
4 cassettes and 5 CDs
Step-by-step explanation:
Create a system of equations
c is cassettes and d is CDs
6c+10d=74
c+d=9
I will use substitution
c=9-d
6(9-d)+10d=74
54-6d+10d=74
4d=20
d=5
Plug 5 back into the equation
c+5=9
c=4
help me with this ixl pleaseeeeeeeeee
Step-by-step explanation:
J(-3,9)
k(-10,9)
L(-10,4)
M(-3,4)
ILL GIVE YOU 40 POUNTA IF YOU ANSWER ALL OF THESE QUESTIONS???,!!.!.
PLEASE I NEED THESE TODAY!!!!
what's the question? we solving or simplify?
Answer and Step-by-step explanation:
When multiplying exponents:
- Product of Powers: When the base of the exponents are the same, and the bases are being multiplied to each other, the exponents are added together.
- Different bases Same Exponents: When the bases of the exponents are different, but the exponents are the same, the bases multiply together (within a parenthesis) with the exponent on the parenthesis.
- Quotient of Powers: When the base of the exponents are the same, and they are being divided by each other, the exponents will subtract from each other.
- Power of a Power: When a base has an exponent, and that entire term has and exponent, the exponents multiply together.
- Power of a Product: The opposite of Different bases Same Exponents. Distribute the exponent onto the different bases.
- Power of a Quotient: The opposite of Quotient of Powers. Distribute the exponent to the dividing bases.
- Zero Power: Any number raised to the 0 power equals 1.
- Negative Exponent: Any number raised by a negative number goes to the denominator of a fraction (if not already in the denominator), and vise versa (goes to the numerator if not already in the numerator).
- Power of One: Any number raised to the power of 1 is the same number.
7.
[tex](-5y^3)^3 = -125y^6[/tex]
8.
[tex](-a^9b)^4 = -a^{13}b^4[/tex]
9.
[tex](\frac{1}{2}x^4 )^7 = \frac{1}{2^7 (=128)} x^{11}[/tex]
10.
[tex]2(3a^2)^3 = 2(27a^5) = 54a^5[/tex]
11.
[tex]\frac{1}{2} (4k^5)^2=\frac{1}{2} (16k^7) = 8k^7[/tex]
12.
[tex]-6(\frac{2}{3}p^8 )^3=-6(\frac{6}{27} p^{11}) = -6(\frac{2}{9}p^{11})=\frac{-12}{9} p^{11}=-\frac{4}{3}p^{11}[/tex]
13.
[tex](m^5n^3)^7 * m^2n = m^{12}n^{10}*m^2n=m^{14}n^{11}[/tex]
14.
[tex](2xy)^2(-3x^2)(4y^2) = (4x^2y^2)(-3x^2)(4y^2) = (-12x^4y^2)(4y^2)=-48x^6y^4[/tex]
15.
[tex](2x^3y^2z^2)^3(x^2z)^4=(8x^6y^5z^5)(x^6z^4)=8x^{12}y^5z^9[/tex]
16.
[tex](-xy)^2(2x^9y^5)^4 = (x^2y^2)(16x^{13}y^9)=16x^{15}y^{11}[/tex]
17.
[tex](-4mn)^3(-2m^2)^3 = (-64m^3n^3)(-8m^5)=512m^8n^3[/tex]
18.
[tex]-3(2x^4)(4x^5y)^2 = (-6x^4)(16x^7y^2)=-96x^{11}y^2[/tex]
19.
[tex](-18m^2n)^2(-\frac{1}{6} mn^2)=(324m^4n^2)(-\frac{1}{6} mn^2)=-54m^5n^4[/tex]
20.
[tex](3r^3s^5)^2-r^6s^{10} = 9r^5s^7-r^6s^{10} = r^5s^7(9-rs^3)[/tex]
21.
[tex](-2x^5y^7)^3+7x^{15}y^{21} = -8x^8y^{10}+7x^{15}y^{21} = x^8y^{10}(7x^7y^{11}-8)[/tex]
#teamtrees #PAW (Plant And Water)
I hope this helps!
Uma indústria produz mensalmente x lotes de um produto. O valor mensal resultante da venda deste produto é V(x) = 3x² + 400x e o custo mensal da produção é dado por C(x) = 5x² − 100x − 540. Sabendo que o lucro é obtido pela diferença entre o valor resultante das vendas e o custo da produção, calcule:
A) O número de lotes de produtos para maximizar o lucro?
B) Qual o lucro Mensal a indústria pode alcançar?
Answer:
The answer would be A
Step-by-step explanation:
WEIGHTS AND MEASURES
One pint is about 5/9 liter. Write 5/9 liter as a decimal.
Answer:
.55555555 infinitely or .556
Step-by-step explanation:
How is the x value affected if there is a translation to the right?
(answer options below)
-you subtract from the x
-you add to the x
-you divide
-you multiply
Answer:
you subtract from the x
Step-by-step explanation:
What is the cube root of 27?
The cube root of 27 is 3!!
Solve each for X. Show your work
3(2x - 1) + 2(x + 5) = 47
3(2x - 1) + 2(x + 5) = 47
6x - 3 + 2x + 10 = 47
6x + 2x = 47 + 3 - 10
8x = 40 / : 8
x = 5 ← the end
Answer:
x = 5
Step-by-step explanation:
[tex]3(2x - 1) + 2(x + 5) = 47[/tex]
[tex]6x - 3 + 2(x + 5) = 47[/tex]
[tex]6x - 3 + 2x + 10 = 47[/tex]
[tex]8x - 3 + 10 = 47[/tex]
[tex]8x + 7 = 47[/tex]
[tex]8x = 47 - 7[/tex]
[tex]8x = 40[/tex]
[tex](8x \div 8 = 40 \div 8 = x = 40 \div 8 )[/tex]
[tex]x = 5[/tex]
Hi I have some trouble understanding Mean,Median and Mode Comparisions can someone please help me with this problem
the fast train from london to coventry travels at an average speed of 83 km per hour . how long would it take to travel the distance of the distance of 166 km
2.
Simply do 166 divided by 83 and you'll have your answer