Answer:
The coordinate of b = (2, 2)
Step-by-step explanation:
The details of the quadrilateral abcd are;
The quadrilateral is symmetric about the y-axis (the line x = 0)
The coordinates of the vertices are; a(-2, 2), c(2, 1)
The location of the vertex, b = The first quadrant
We have;
The line [tex]\overline {ab}[/tex] is perpendicular to the line [tex]\overline {bc}[/tex]
Let (x, y) represent the coordinate of the vertex b, we have;
(y - 2)/(x - (-2)) = (y - 2)/(x + 2) = -1/(y - 1)/(x - 2) = - (x - 2)/(y - 1)
(y - 2)·(y - 1) = -(x + 2)·(x - 2)
y² + x² - 3·y - 2 = 0...(1)
y² + x² = 3·y + 2
Also we have;
(y - 2)² + (x - 1)² + (y - 2)² + (x - (-2))² = (2 - 1)² + (2 - (-2))² = 17
Therefore;
2·y² + 2·x² - 8·y + 2·x + 13 = 17
2·(3·y + 2) - 8·y + 2·x + 13 = 17
Using an online tool, we have;
x = y
From equation (1), we have;
2·y² - 3·y - 2 = 0
∴ y = 2, or y = -1/2
Where y = 2, we have;
x = y = 2
Therefore, the point b = (2, 2).
s the function represented by the table non-linear?
x
y
6
4
7
2
8
0
9
–2
How many five-digit odd numbers can be formed from the digits 1, 2, 3, 4,and 5 if no digit is repeated?
Answer:
10
Step-by-step explanation:
the answer is 10 because there are only two odd numbers in here and the best. Even so when you put that in two digit odd number then it'll just be interchangeable those four numbers that aren't at the end of
Answer:
72
Step-by-step explanation:
For a five-digit number to be odd it's one digit must be 1,3,5.
So there can be no repeats of any digits.
Let's look at numbers with one's digit being 1.
There are 4 ways to choose the tabs digit.
After that you can choose the hundreds digit 3 ways.
The thousands digit can then be chosen 2 ways.
Then finally the ten-thousands digit can be chosen 1 way.
4×3×2×1=24
24 odd numbers with one's digit being 1 that are 5 digits long only using 1,2,3,4, and 5 with no repeats.
That means there are 24 odd numbers with one's digit being 3 that are 5 digits long only using 1,2,3,4, and 5 with no repeats.
Also means there are 24 odd numbers with one's digit being 5 that are 5 digits long only using 1,2,3,4, and 5 with no repeats.
3(24)=72
A contractor construct to build a house in 30 days. He employed 10 men to build the house. After 20 days. They completed only 1 /3 of the total work. How many more men will be required to finish the remaining work within due time?
Answer:
30
Step-by-step explanation:
First, we can say that because the men do 1/3 of the work in 20 days,
for 10 men:
20 days = 1/3 total work
Because we need the house built in 30 days, and 20 days have already passed, we only have 30-20=10 days left. Furthermore, 20/2=10, so in our equation of 20 days = 1/3 total work, we can divide both sides by 2 to get
10 days = 1/6 total work
The amount of work we need to get done in 10 days is (all of it) - (1/3 of total work) = 1 - 1/3 = 2/3 = 4/6
Since 10 men can do 1/6 of the work in 10 days, 10*4 =40 men can do 1/6 * 4 = 4/6 of the work in 10 days. This is the amount of work that needs to get done. Therefore, the contractor needs 40 (total workers) - 10 (current workers) = 30 new workers to finish the remaining work in due time
E) Natasha's parents want to support Natasha by saving $5000 for her college. They searched up for some investment options and came up with two best ones o 4.8% simple interest for 2 years o 4.1 % / year compounded semi- annually for 2 years Compare both the plans and find out which is the best to choose
Answer:
Amount she would have in 2 years at a simple interest of is
$5000 + ($5000 x 0.048 x 2) = $5480
Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :
$5000 x ( 1 +0.041/2)^4 = $5422.78
the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose
Step-by-step explanation:
Future value with simple interest = principal + interest
Interest = principal x interest rate x time
0.048 x 5000 x 2 = 480
future value = $480 + 5000 = $5480
The formula for calculating future value with compounding:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78
A ∆ has Č = 90°, Â = 26° and = 30, Find the Angle BC, Side AB and BC.
Answer:
B = 64°
AB = 33.378
BC = 14.632
Step-by-step explanation:
Given the right angled triangle ;
Angle B = 180 - (90 + 26) (sum of angles in a triangle)
Angle B = 180 - 116
Angle B = 64°
Side AB = c
Using trigonometry :
Sin B = opposite / hypotenus
Sin 64 = 30/AB
AB = 30 / Sin64
AB = 33.378
Side BC ;
Sin A = BC / AB
Sin 26 = BC / 33.378
BC = 33.378 * Sin 26
BC = 14.632
binomial expansions for clever cookies
The answers are in the red rectangles with the work.
Let me know if something is unreadable.
Can someone help me with this
Answer:
Step-by-step explanation:
The standard form for a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] and what's important here is that the x- and the y- remain that way in the equation. Filling in our values,
[tex](x-(6))^2+(y-(-3))^2=25[/tex] which tells us that our center is
6 and -3 -------------------> (6, -3)
The radius is the square root of 25 which is 5.
form a polynomial whose factors are (x+1) , (x+2) and (x-3)
Answer:
x³-7x-6
Step-by-step explanation:
Find the products of the factors
(x+1)(x+2)(x-3)
x²+3x+2(x-3)
x³+3x²+2x-3x²-9x-6
x³-7x-6
the area of a trapezoid is 21 inches, one of its bases is 8 inches and its height is 3 inches. What is the length of the last base?
Answer:
6 inches
Step-by-step explanation:
A=b1+b2/2*h
Fill in the equation with what we know
21=8+x/2*3
Isolate x
Quick steps: 21/3=7*2=14-8=6
x=6
i need help plsssssssss
Answer:
are you look for finaincl loan
Step-by-step explanation:
(A p e x) Which sequence of transformations will result in an image that maps onto itself?
A. Rotate 90 degrees counterclockwise about the origin, and then translate up 2 units.
B. Reflect across the x-axis, and then reflect across the y-axis.
C. Rotate 90 degrees counterclockwise about the origin, and then reflect across the x-axis.
D. Reflect across the x-axis, and then reflect again over the x-axis.
Answer: D. Reflect across the x-axis, and then reflect again over the x-axis.
Explanation:
If we reflect over the x axis, and then reflect over that same axis again, then we arrive at the original image. Nothing has changed. This is because the two reflections effectively cancel each other out.
It's like taking one step forward, then taking one step back. You haven't moved at all.
Tìm x,y biết x+y=12
2x=3y
Answer:
x= -12 & y=24
Step-by-step explanation:
given,
x+y=12.......... equation (i)
2x=3y........eq(ii)
let,
x=12-y.......eq(iii)
from eq(ii)
2(12-y)=3y
y=24
putting the value of y in eq(iii)
x=12-24
x= -12
** I NEED TO GET THIS RIGHT IM DOING TEST CORRECTION**
point p Is the circumcenter of ABC. point p is the point of concurrency of the perpendicular bisector. Find AS.
Answer: ~27.5
Step-by-step explanation:
I don't know about all the geometry terms, but since a line is 180°, and SE makes 1 right angle (90°), the other side is also 90° (180-90=90).
This means you have a right triangle with sides 15 and 23 and unknown hypotenuse AS.
Pythagorean Theorem: a^2 + b^2 = c^2
(15^2) + (23^2) = AS^2
sqrt( 225 + 529 ) = AS
AS = 27.459
Round 2.577681 to four decimal places
Answer:
2.5777
Step-by-step explanation:
The 6 in "2.577681" is greater than 5, so the value increases by 1.
in parallelogram ABCD the measure of m
A) 82.5
B) 97.5
C) 120
D) 130
The measure of the angle C is 120°.
Given that the parallelogram ABCD, we need to find the measure of the angle C,
We know that in a parallelogram the opposite angles are equal and the adjacent angles are supplementary,
So,
∠D = ∠B
6x + 6 = 10x - 30
4x = 36
x = 9
So, ∠D = ∠B = 60°
So,
∠C + ∠D = 180°
∠C = 180° - 60°
∠C = 120°
Hence the measure of the angle C is 120°.
Learn more about parallelogram click;
https://brainly.com/question/28854514
#SPJ1
hlpppppp plesaseeeeeeeeeeeeeeeee
Answer:
50
Step-by-step explanation:
Given,
96 + 2² / 2
96 + 4 / 2
100 / 2
50
Utilize graphing to find the solution to
the following system of equations.
4x + 3y = 25 AND y = -5x + 1
([?], [])
Answer:
you guess any value of x and then you substitute any three values for example for the first equation you can guess the value of x to be 1 or 2 or 3
I need help plz anyone I don't understand this at all.
Answer:
jejejjejejr
Step-by-step explanation:
uejejjejejjsjs
please help me please i will give brainliest
Answer:
I think It would be A
Step-by-step explanation:
Answer:
i think its A
Step-by-step explanation:
(if its not im sorry :( )
Someone explain this I don’t understand
I need help ASAP!!!! Pleaseeee
Answer:
2nd and 3rd ordered pair are on the graph
Step-by-step explanation:
Substitute the x- coordinate into the equation and if the value obtained is equal to the y- coordinate then it lies on the graph.
(1, 625 )
f(1) = - [tex]25^{1+1}[/tex] = - [tex]25^{2}[/tex] = - 625 ≠ 625 ← No
(0, - 25 )
f(0) = - [tex]25^{0+1}[/tex] = - [tex]25^{1}[/tex] = - 25 ← Yes
(- 1, - 1 )
f(- 1) = - [tex]25^{-1+1}[/tex] = - [tex]25^{0}[/tex] = - 1 ← Yes [ using [tex]a^{0}[/tex] = 1 ]
Determine whether the two triangles are similar.
Answer:
The Second One
Step-by-step explanation:
It Shows Side Lengths, and the angles for LOM and PON connect at O.
That means they share a similar angle, and between the angle are Sides.
SAS. (Side-Angle-Side)
(I'm not really good at math so i'm sorry if its wrong!)
A kiddie pool holds 161 gallons of water. One hose can fill the pool in 3 hours while an-
other takes only 2 hours. How long will it take for the pool to be filled if both hoses are
used?
The first hose pumps out water at a rate of
(161 gal)/(3 h) = 161/3 gal/h
The second hose fills the pool at a rate of
(161 gal)/(2 h) = 161/2 gal/h
Working together, they can fill the pool at a rate of
(161/3 + 161/2) gal/h = 805/6 gal/h
so that it would take
(161 gal) / (805/6 gal/h) = 161×6/805 h = 6/5 h = 1.2 h = 1 h 12 min
to fill the pool.
Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point-
slope form is y + 1 = {(x – 8).
br +
y =
Answer:
y + 1 = 2/3 (x - 8)
Step-by-step explanation:
y2 - y1 / x2 - x1 -5 - (-1) / 2 - 8 -4/-6 2/3
y + 1 = 2/3 (x - 8)
Find the place value of 3 in 3546.
Answer:
that is the thousands place value.
the place value of 3 in 3546.= 3000
A P E X fasted answer is getting 30 points please hurry.
suppose a normal distribution has a mean of 98 and a standard deviation of 6. what is p(x ≥ 92)
Answer:
Step-by-step explanation:
If the mean is 98 and standard deviation is 6, then 92 is one standard deviation to the left of the mean; that means that 34% + 34% + 13.5% + 2.35% + .15% of the data is included in this area. Add those up and you get, as a percentage, 84%.
Answer:
0.84
Step-by-step explanation:
yee its right
George is painting fences at the zoo. It takes 2 2/3 cans of paint to paint each fence. If George paints 9 fences, how much paint will he use?
Answer: 24 cans
Step-by-step explanation:
Given
George has 9 fence
It requires [tex]2\frac{2}{3}[/tex] cans to paint a fence
So, 9 fence required
[tex]\Rightarrow 9\times 2\dfrac{2}{3}\\\\\Rightarrow 9\times \dfrac{8}{3}\\\\\Rightarrow 3\times 8=24\ \text{cans}[/tex]
9 fence requires 24 cans
7. Determine the measures of the two angles that are not 90° in the diagram below. Show your
work.
First we need to assume that the sum of the angles is also 180°. if one is less than 90°, the other will be more. we can do this because in a plane 4-sided polygon the sum of the inner angles will always be 360°, and we already know the two angles on the right side
so we can say that:
3x + 20 + x = 180
Since we got only one variable in this equation, we can already solve for x.
4x + 20 = 180
4x = 160
x = 40
the lower left angle is just 40°
the upper left is three times that plus 20, so it's 160°
hope this helps you to get the method
Can someone please help me
Answer:
- 3Step-by-step explanation:
As,
- 0.0084
When estimated,
= - 0.008
[tex] = \frac{ - 8}{1000} [/tex]
Then,
[tex] - 8 \times \frac{1}{1000} [/tex]
[tex] = - 8 \times {10}^{ - 3} [/tex]
Here,
Power of ten as observed is -3
3/7 x 4/7 what is the answer
3/7×4/7= (3×4)/(7×7)= 12/49
Answer:
12/49
Step-by-step explanation:
Hi! To start off, I'm going to multiply our numerators, and then our denominators.
3 × 4 = 12
7 × 7 = 49
Usually, if this fraction was not simplified (but it is) we would simplify it (ex. 2/4 to 1/2).
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
