Answer:
y+4=3(x+2)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(8-(-4))/(2-(-2))
m=(8+4)/(2+2)
m=12/4
m=3
y-y1=m(x-x1)
y-(-4)=3(x-(-2))
y+4=3(x+2)
two lines a and b are perpendicular. line a has equation 3y-2x+2=0 and meets line b at the point(4,7). find the equation of line b
Answer:
Step-by-step explanation:
3y - 2x +2 = 0
3y = 2x - 2
[tex]y = \dfrac{2}{3}x-\dfrac{2}{3}[/tex]
y = mx + b
Slope of line a = 2/3
Product of slope of perpendicular line = -1
[tex]Slope \ of \ line \ b = \dfrac{-1}{\dfrac{2}{3}}=\dfrac{-3}{2}[/tex]
Equation of line b:
[tex]y=\dfrac{-3}{2}x+b[/tex]
Line b passes through (4,7)
[tex]7 = \dfrac{-3}{2}*4+b\\\\\\7= -6 + b\\\\b = 7 + 6\\\\b = 13[/tex]
Equation of line b:
[tex]y=\dfrac{-3}{2}x+13[/tex]
Multiply the equation by 2
2y = -3x + 26
3x + 2y - 26 = 0
Place the numbers 0 to 8, inclusive, in the magic square so that the sum of the numbers in each row, column, and diagonal is the same number, 12.
Answer: See attached table
Step-by-step explanation:
[tex]\begin{table}[]\begin{tabular}{lllll} & & & & \\ & & & & \\ & & & & \\ & & & & \end{tabular}\end{table}[/tex]+---+---+---+
| 1 | 8 | 2 |
+---+---+---+
| 6 | 4 | 2 |
+---+---+---+
| 5 | 0 | 7 |
+---+---+---+
Proofs:
First row: 1+6+5 = 12
Second row: 8+4+0 = 12
Third row: 2+2+7 = 12
First column: 1+8+2 = 12
Second column: 6+4+2 = 12
Third column: 5+0+7 = 12
Diagonal starting from top left to bottom right: 1+4+7 = 12
Diagonal staring from top right to bottom left: 2+4+5 = 12
HELPvppvy o o p pyvph
Answer:
the answer is
[tex]24 \sqrt{2} [/tex]
what number is in the hundred thousand place in 243,561
Answer:
2, because 100,000 is said one hundred thousand which means 1 is in the hundred thousand place, and the same applies to this number meaning 2 is in that place.
Step-by-step explanation:
Answer:
2 is in the hundred-thousands place.
The n-4, n, n+3 are consecutive terms of geometry progression. find two possible values of the common ratio.
Solve the equation 4y² = 7y
The Diamond Rule says two factors, m and n, must multiply to get to the top number and add to get to the bottom number.
What are the possible values for m and n?
By solving a system of equations, we will see that the values of n and m are 3 and -4.
How to get the values of n and m?
We need to get two values n and m such that:
n*m = -12
n + m = -1
So this is a system of equations, to solve it, we first need to isolate one of the variables in one of the equations. I will isolate n on the second equation:
n = -1 - m
Then, replacing that on the other equation we get:
(-1 - m)*m = -12
-m - m^2 = -12
-m^2 - m + 12 = 0
This is a quadratic equation, the solutions are given by Bhaskara's formula:
[tex]m = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-1)*12} }{2*-1} \\\\m = \frac{1 \pm 7}{-2}[/tex]
Now, let's take the first solution for m:
m = (1 + 7)/-2 = -4
Then the value of n is the other solution, (or we can use the equation for n that we found above):
n = -1 - m = --1 - (-4) = 3
Then the two numbers are 3 and -4, meaning that the correct option is the first one.
If you want to learn more about systems of equations, you can read:
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I Really need Help IF you know how to do this please help!
11. Write a formula for the area of the shaded region in terms of x.
2
2
x + 5
okay so basically we see two rectangles right, so we can subtract the small from the big to leave the shaded region behind: so we take the area of the big rectangle first, (x+5)*4 and then we subtract the small area which is 2*2 so that we get an equation like this: (x+5)*4 - 4 --> 4x+20-4 --> 4x+16
Three pounds of apples costs $1.09. How much will 11 pounds of apples cost? Round to the nearest cent.
Answer:
Step-by-step explanation:
Comment
This is a proportion question. That means that the ratios given are equal. There are 4 facts all together. 3 are given, you have to solve for the 4th. The procedure is the same every time.
Equation (proportion)
cost of apples 1.09/ Number of apples (3) = cost of nearly a dozen (x)/Number = 11.
1.09/3 = x / 11 Cross Multiply
3x = 1.09 * 11 Combine the right
3x = 11.99 Divide by 3
3x/3 = 11.99/3
x = 3.99
Answer
4.00 per pound
A real estate agent charges $100 to place a rental listing plus 15% of the yearly rent. An apartment was rented by the agent for one year. She charged the landowner $1540. How much did the apartment cost to rent for one year?
Answer:
1655
Step-by-step explanation:
add 100+15 together then add that answer with 1540
Answer:
9,600
Step-by-step explanation:
100+.15x=1540
.15x=100-1540
.15x=1440
X=9,600
HELPP 10points PLEASE
Answer:
x = 7
y = 2
--
x = 7
y = −x + 9
- Consider the second equation. Insert the known values of variables into the equation.
y = −7 + 9
Add −7 and 9 to get 2.
y = 2
The system is now solved.
x = 7
y = 2 ( 7,2 )
When measuring distance 43 peas are approximately equal to 19 beans. How many peas are equal to 133 beans?
Answer:
301
Step-by-step explanation:
Assuming the proportion holds over longer distances, the ratios can be written ...
peas/beans = p/133 = 43/19
p = 133(43/19) = 301
301 peas are equal to 133 beans.
Find the circumference of the
circle. Use 3.14 for a.
30.5 cm
cm.
The circumference of the circle is
(Round to the nearest hundredth as needed.)
wer hoy and then click Check Answer.
The circumference of the circle is approximately 95.84 cm.
The formula to calculate the circumference of a circle is C = πd, where C represents the circumference and d represents the diameter of the circle.
However, in this case, only the radius (half the diameter) is given. To find the circumference, we need to double the radius and multiply it by the value of π.
Given that the radius is 30.5 cm, we can calculate the circumference as follows:
C = 2πr
C = 2 * 3.14 * 30.5
C ≈ 191.08 cm
Rounding to the nearest hundredth, the circumference of the circle is approximately 95.84 cm.
The circumference of a circle is the total distance around its outer edge. It is calculated by multiplying the diameter of the circle by the value of π (pi), which is approximately 3.14.
In this case, the diameter is not provided, but the radius (half the diameter) is given as 30.5 cm.
To find the circumference, we double the radius (2 * 30.5 = 61) and multiply it by π (61 * 3.14 = 191.54).
Rounding to the nearest hundredth, the circumference of the circle is approximately 95.84 cm.
It's important to note that π is an irrational number and cannot be expressed exactly as a decimal or fraction, which is why we use an approximation like 3.14 in calculations involving circles.
for such more questions on circumference
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how does knowing 1/5 of help me find 3/5 of 10
Answer:
One fifth is like you saying one fifth of something, so if you have 3 fifths of something it's just 3 times more than one fifth. so like 1/5 is 20% so 3/5 is 3 times more which is 60%
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
1/5 of 10 is 2,
so if you have 3/5, it is the same as 1/5 3 times.
1/5 of 10 is 2, so for 3/5 of 10 you multiply 2 by 3.
1/5 of 10 = 2
2/5 of 10 = 4
3/5 of 10 = 6
4/5 of 10 = 8
5/5 of 10 = 10
write the equation of th eline that is parallel to x=8 and that passes through the point (-3,-2)
on a number line what numbers are either negative or greater than 5
PLEASEEEEEEE help im deperate
Answer:
Every number to the right of 5 is greater on a number line
Step-by-step explanation:
what is f" (pi/4) where f (x) = sin x + cos x ?? Show all your work. Write your final answer in simplest radical form.
Answer:
-√2
Step-by-step explanation:
f(x) = sinx + cosx
f'(x) = cosx - sinx
f''(x) = -sinx - cosx
f''(pi/4) = -sin(pi/4) - cos(pi/4) = -√2
Change 1296 to square inches to feet
What’s the answer to this
Sketch a graph of
x
−
y
=
−
4
Answer:
In the photo is show how the graph should look
For numbers 11-13, refer to the figure below.
Answer:
c, a, a, c, a
Step-by-step explanation:
let me know if you want me to explain everyone, but I think you're more looking for the answer, so here they are(with short explanations)
11.c, 100. Vertical angles are congruent.
12.a, 70. Supplementary=180*. We know that B=110(from drawing). 110+70=180
13.a, 70. We know that a is 70 from question 12. vertical angles are congruent, so c=70
14.c, 90. from the attached image, we see that 12 and 3 makes 90* angle.
15.a, AY. Both have the letters AY in their names.
let me know if im correct!
Determine if true:
3x9=12+13
Answer:
False
Step-by-step explanation:
3x9=27
3x9=2712+13=25
3x9=2712+13=2527=25
3x9=2712+13=2527=25These 2 numbers don't match.
Hence, the equation is false.
Can someone please help me
Answer:
you can it's too easy but I haven't any time so I can't solve this
Simplify (-7x+5)-(2x^2-8x+6) in standard form
Answer: -2x² - 15x + 11
Step-by-step explanation:
Show all work below to answer the following for a certain city that had a population of 150,000 in the year 2010. In 2020, the population was 185,000.
a. Find the constant rate of continuous growth, k, for this population. (Please round to 5 decimal places)
b. When will the population reach 250,000 people?
a. 2020-2010=10 185000-150000=350000 35000:10=3500 (population growth per year) 3500:365=9 (growth per day) 9:24=0.375(growth per hour)
b. 2020-2010=10 185000-150000=350000 35000:10=3500 250000-185000=65000 65000:3500=18 2020+18= 2038
Solve all 4 Questions . 50 Points + Brainelist
i)
length of rectangle : x + 5ii)
breadth of rectangle : x - 3iii)
area of rectangle = length * breadth105 = (x + 5)(x - 3)105 = x² + 2x - 15 x² + 2x - 15 - 105 = 0 x² + 2x - 15 - 105 = 0 x² + 2x - 120 = 0iv)
x² + 2x - 120 = 0x² + 12x -10x - 120 = 0x( x + 12) -10 (x +12) = 0(x-10)(x+12)x = 10, -12With x = -12, Not applicable so x will be 10
Length → x + 5 → 10 + 5 → 15
Breath → x -3 → 10 - 3 → 7
Therefore,
Length : 15 cm
Breadth : 7 cm
Answer:
Given:
The length of the rectangular shaped lamina is 5 cm more than the length of the square shaped lamina.The breadth of the rectangular shaped lamina is 3 cm less than the length of the square shaped lamina.x = side length of squarei) Length of rectangular shaped lamina = (x + 5) cm
ii) Breadth of rectangular shaped lamina = (x - 3) cm
ii) Area of a rectangle = length × breadth
⇒ area of rectangular shaped lamina = (x + 5)(x - 3) cm²
Given:
area of rectangular shaped lamina = 105 cm²⇒ (x + 5)(x - 3) = 105
Expand:
⇒ x² - 3x + 5x - 15 = 105
Combine like terms:
⇒ x² + 2x - 15 = 105
Subtract 105 from both sides:
⇒ x² + 2x - 120 = 0
iv) Solve x² + 2x - 120 = 0
Rewrite:
⇒ x² + 12x - 10x - 120 = 0
Break into groups:
⇒ (x² + 12x) - (10x + 120) = 0
Factorize the parentheses:
⇒ x(x + 12) - 10(x + 12) = 0
Factor out common term:
⇒ (x - 10)(x + 12) = 0
Therefore,
x - 10 = 0 ⇒ x = 10
x + 12 = 0 ⇒ x = -12
As length is positive, x = 10 only
Therefore,
Length of rectangular shaped lamina = 15 cm
Breadth of rectangular shaped lamina = 7 cm
Ann started walking to her grandparents' house at 9:38 A.M. It took her 41 minutes to get there. Then, she played in the backyard for 1 hour and 56 minutes.
When did Ann finish playing in the backyard?
The time Ann finished playing in the backyard is 12 : 15 pm
How to find the time Ann finish playing in the backyardTime Ann started walking to her grandparents' house = 9:38 A.MTime taken to get there = 41 minutesTime taken to play in the backyard = 1 hour and 56 minutesTotal time = 9:38 + 41 minutes + 1 hour 56 minutes
= 10:19 + 1 hour 56 minutes
= 12 : 15 pm
Therefore, the time Ann finished playing in the backyard is 12 : 15 pm
Learn more about time:
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Domain and range (-3,2)(3,2)(1,0)(2,4)
Answer:
Solution
Domain= -3,3,1,2
Range = 2,2,0,4
Domain is Front of comma and Range us after comma
Step-by-step explanation:
Domain = {-3,3,1,2}
Range= {2,2,0,4}
Write eleven thousand, two hundred
twelve using base-ten numerals. Then
write the number in expanded form.
Answer:
Heyy, you'd have too answer this in using base numerals. Which would just be 11 thousand blocks( you would use thousand place blocks to be specific) . Then 2 " 100 " blocks. And 12 ones blocks n theirs ur answer! Hopefully I helped you out. Have an amazing day
Step-by-step explanation:
Answer: 11,212
Step-by-step explanation:
base-ten numerals: 11,000 + 200 + 12+ = 11,212
number in expanded form: 11,212 =
+ 10,000
+ 1,000
+ 200
+ 10
+ 2
please use an equation step by step and please show the numbers do not use words
Answer:
Sorry but u need another photo i can't see