Answer:
a) (-4, 5)
b) (4, -5)
Step-by-step explanation:
Just reverse the signs or use desmos as a better example.
Answer:(4,-5) and (-4,5)
Step-by-step explanation: anything reflected from the x or y axis is the postive version which is -4 has an absolute value of 4
NEED QUICKLY
Write the equation of the line shown below?
y = x + 2
Step-by-step explanation:
General formula for any straight line:
y = mx + c
Where
m = gradient
c = constant
m = y2 - y1/x2 - x1
m = (4 - ( -2))/(2 - ( -4))
m = 6/6
m = 1
y = (1)x + c
y = x + c
Substitute any coordinate from the line of the equation.
4 = 2 + c
c = 2
substitute m and c into general formula
y = mx + c
y = x + 2
Answer:
Equation is : y = x + 2
Step-by-step explanation:
To find the equation of the we need two points through which the line passes.
Let it be (2 , 4) and ( -4 , - 2)
The standard equation of line is : y = mx + b , where m is the slope, b is the
y-intercept.
Step 1 : Find the slope, m
[tex]slope , m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] [tex][ \ where \ (x_1, y _ 1 ) = ( 2 , 4 ) \ , \ (x_2 , y_ 2 ) = ( -4, -2 ) \ ][/tex]
[tex]m = \frac{-2-4}{-4-2}\\\\ = \frac{-6}{-6}\\\\ = 1[/tex]
Step 2 : Find the equation of the line.
[tex]( y - y_1) = m(x- x_1)\\\\(y - 4) = 1 ( x - 2)\\\\y - 4 = x - 2 \\\\y = x - 2 + 4 \\\\y = x + 2[/tex]
12 men or 15 women can do a piece of work in 21 days find the number of days to complete the same work by 6 men and 10 women
In which quadrant is the point (-5, -4) in?
III
IV
II
I
Answer:
quadrant 3
Step-by-step explanation:
only quadrant 3 contains both negative values for x & y
Answer:
III
Step-by-step explanation:
First, remember the order of the quadrants; quadrant I is in the top right corner then the quadrants increase moving counterclockwise. So, the third quadrant is the bottom left. Each quadrant consist of (x,y) values of different signs.
They are as follows:
I - (x,y)
II - (-x,y)
III - (-x,-y)
IV - (x,-y)
Since, (-5,-4) has two negative coordinates, it must be in the III quadrant.
¿ Cuál es la ecuación de la circunferencia que pasa por punto (-4,2) y
su diámetro es 8 ?
Porfaaaa
Answer:
(x+4)² + (y-k) ² = 16
Step-by-step explanation:
The equation of the circumference is expressed as;
(x-h) ² + (y-k) ² = r²
(h,k) is the centre
r is the radius
Given that diameter = 8
radius = 8/2
radius = 4units
Given that h = -4 and k = 2
(x-h) ² + (y-k) ² = r²
(x-(-4)) ² + (y-2) ² = 4²
(x+4)² + (y-k) ² = 16
This gives the required equation
someone help plsplspls
Answer/Step-by-step explanation:
Volume of a cone = ⅓*π*r²h
Where,
Radius (r) = 7 mm
Height (h) = 8 mm
Plug in the value into the equation
V = ⅓*3.14*7²*8
V = ⅓*3.14*49*8
V = 410.293333
V ≈ 410.3 mm³ (nearest tenth)
what is the remainder of f(x)=x^4-2x^3-27x^2-9x+18 when divided by binomial x+4
Answer:
The remainder will be 6.
Step-by-step explanation:
We have the function:
[tex]f(x)=x^4-2x^3-27x^2-9x+18[/tex]
And we want to find the remainder after it is divided by the binomial:
[tex]x+4[/tex]
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (x - a), then the remainder will be given by P(a).
Here, our divisor is (x + 4). We can rewrite this as (x - (-4)).
Therefore, a = -4.
Then according to the PRT, the remainder will be:
[tex]f(-4)=(-4)^4-2(-4)^3-27(-4)^2-9(-4)+18=6[/tex]
The remainder will be 6.
It would be great if someone could answer this :)
Answer:
Step-by-step explanation:
You could do this step by step.
The first year is left alone: 90,000 kt
The second year is 90000 * 0.96 That represents a 4% reduction
Second year = 86400
Third year = 86400 * .96 = 82944
Fourth year = 82944 * 0.96 = 79626.24 Here's where you run into your first dilemma. What do you do with that 0.24? The answer is, you round it here, but leave it in your calculator.
Fourth year = 79626
Fifth year = 79626.24 * 0.96
Fifth year = 76441
Sixth year = 79626.1904 * 0.96
Sixth year = 73383.542
Sixth year = 73384
Of course once you have gone through all that, you could do it this way
Sixth year = 90000 * 0.96^(n - 1) = 73383.54 = 73384
Same answer both ways.
I'm going to leave the addition to you.
Sum = a* (r^(n) - 1)/ (r - 1)
Sum = 90000 * (0.96^5 - 1) / (0.96 - 1 ) = 415411 rounded. I think that's right, but check it out.
cosy/1-siny = 1+siny/cosy
varify using trig identity.
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
[tex]\displaystyle \frac{\cos y}{1-\sin y}=\frac{1+\sin y}{\cos y}[/tex]
On the left, we can multiply both layers by (1 + sin(y)):
[tex]\displaystyle \frac{\cos y}{1-\sin y}\left(\frac{1+\sin y}{1+\sin y}\right)=\frac{1+\sin y}{\cos y}[/tex]
Multiply:
[tex]\displaystyle \frac{\cos y(1+\sin y)}{1-\sin^2 y}=\frac{1+\sin y}{\cos y}[/tex]
From the Pythagorean Theorem, we know that sin²(y) + cos²(y) = 1. Hence, 1 - sin²(y) = cos²(y). Substitute:
[tex]\displaystyle \frac{\cos y(1+\sin y))}{\cos^2 y}=\frac{1+\sin y}{\cos y}[/tex]
Cancel:
[tex]\displaystyle \frac{1+\sin y}{\cos y}=\frac{1+\sin y}{\cos y}[/tex]
Hence proven.
A snow cone is a tasty treat with flavored ice and a spherical bubble gum ball at the bottom, as shown below:
Snow cone with spherical bubble gum ball at the bottom
The radius of the cone is 1.25 inches, and its height is 2.75 inches. If the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice? (4 points)
Group of answer choices
4.43 in3
0.07 in3
13.50 in3
4.50 in3
==========================================================
Explanation:
The volume of the cone is...
V = (1/3)*pi*r^2*h
V = (1/3)*3.14*(1.25)^2*2.75
V = 4.49739583333333
which is approximate.
-----------
The volume of the sphere is
V = (4/3)*pi*r^3
V = (4/3)*3.14*(0.25)^3 ... note the radius is half the diameter
V = 0.06541666666667
which is approximate as well
-----------
Subtract the two volumes to finish things up
4.49739583333333-0.06541666666667 = 4.43197916666667
The result 4.43197916666667 then rounds to 4.43
This is the approximate amount of empty space in the cone that isn't taken up by the spherical gum. The units are in "cubic inches" or "in^3" for short.
Help Please Pythagorean Theorem
Answer:
1. x = 15
2. x = 26
3. x = 7.6157731059 (you can round this answer to 8 or 7.6)
4. x = 11.7
5. x = 25
6. x = 1.4
7. x = 22.5
8. x = 38.4
9. x = 10.3 v = 5.8
For some of them, I had to use estimation.
I used this formula : a^2 + b^2 = c^2
Help me for 40 points. Thank you very much
Answer:
answer is 11/16 plz give me brainlist
Si alicia se gasta 2 pesos, le quedaría el doble de dinero que si se gastara 4 pesos ¿cuantos tiene alicia?
Answer:
La cantidad de dinero que tiene Alicia es 6 pesos.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones lineales, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema. Es decir, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en las ecuaciones.
Siendo:
x= cantidad de dinero que tiene Alicia.y= dinero que le quedaría a Alicia si gasta 4 pesos.Entonces el sistema de ecuaciones a resolver es:
[tex]\left \{ {{x-2=2*y} \atop {x-4=y}} \right.[/tex]
Sustituyendo la ecuación 2 en la primer ecuación:
x-2= 2*(x -4)
Resolviendo:
x -2= 2*x -2*4
x -2= 2*x -8
-2 + 8= 2*x -x
6= x
Entonces, la cantidad de dinero que tiene Alicia es 6 pesos.
A rectangle has an area of square unit inside length of 2 1/4 unit find the other side length of the Rectangle
Answer:
Therefore, the other side length of the Rectangle b = 4 (4/9)
Step-by-step explanation:
Although crucial information that area of the rectangle is missing we can assume it be 10 square units for understanding purposes.
Let the sides of the rectangle be a and b.
Given a = 2 1/4 units
a = 9/4 units
b=?
Area of a rectangle = product of its sides = a×b
⇒ a×b= 10
⇒ 9b/4 = 10
⇒ b= 40/9 = 4 (4/9)
Therefore, the other side length of the Rectangle b = 4 (4/9)
What is the perimeter of a rectangle whose length is 1472 m and breadth is 1072 m ?
2472 m
4872 m
25 m
50 m
Answer:
5088 is the perimeter of the rectangle.
Answer:
5088 is the right answer
The formula of perimeter of rectangule is 2(l+b)
So, l=1472 b=1072
2(1472+1072)
2(2544)
2×2544 IS 5088
Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equal to zero. Which expression represents the percent? (a divided by b) divided by 100
(b divided by a) divided by 100
100 (a divided by b)
100 (b divided by a)
Answer:
100(a/b)
Step-by-step explanation:
Fraction
a/b
To a percent
100(a/b)
100(a/b)
________________took the test review
(got 100%)
1\tfrac{2}{5} \div \frac{8}{9}
1 5/2 ÷ 9/8
Answer:
Step-by-step explanation:
What you wrote below the top line and the bottom line are not the same thing.
I think you really want the second line, but one can't be sure.
(1*2 + 5)/2 div (9/8)
7/2 // 9/8
7/2 * 8*9
7*8/18 = 56/18 = 28/9
If you really do want the top line (the latex) it is different.
1 2/5 div (8/9) Is there such a thing as tfrac? I didn't know this but there is.
(1*5 + 2)5 // (8/9)
7/5 // 8/9 Invert the bottom fraction and multiply
7/5 * 9 / 8
63 / 40
1 23/40
Write the equation of a line passing through (-4.3) and perpendicular to -6x + 4y =-12.
Answer:
y=-2/3*x+1/3
Step-by-step explanation:
-6x+4y=-12
put into y=mx+b line equation
4y=6x-12
y=(6/4)x-(12/4)
y=(3/2)x-4
slope is 3/2
to find perpendiular line slope take the negative inverse.
-(2/3) = slope of perpendicular line
use line equation and solve for y-intercept (b)
3=(-2/3)*(-4)+b
3=8/3+b
b= 9/3-8/3 = 1/3 : 3 = 9/3 to allow for subrtaction of fractions.
If f(x) = 3x + 4, what is the value of f(-4)?
Answer:
-8
Step-by-step explanation:
f(x) = 3x + 4
substitute -4 in place of x
f(-4) = 3*-4 + 4
f(-4) = -12 + 4
f(-4) = -8
Can you solve this graph problem?
a) what is the difference in temperatures between 7 am to 5 pm
b) which part of the day was the temperature rising the fastest a, b, c, d, or e?
Answers:
a) The difference in temperature is 25 degrees Fahrenheit. b) The temperature was rising fastest during interval 'a'=========================================================
Explanations:
a) We subtract the y coordinates of the left and right endpoints. We get 65-40 = 25b) The fastest rising temperature will visually correspond to the steepest part of the curve. That would be region 'a'. After this interval, region b is still increasing, but not as much as the previous interval (since it's not as steep here). Then it gets less steep for region c, and d sort of flattens out as well. So during the morning hours it appears the temperature is going up the fastest.Debbie is making 16 cakes for a large
banquet. The cake recipe calls for 1.5
cups of milk for one cake. How many
quarts of milk should Debbie
purchase at the store to have enough
for all of the cakes?
Answer:
12 tablespoons
Step-by-step explanation:
because 3/4 of 16 tablespoons is 12
Answer:
6 Quarts of milk!
Step-by-step explanation:
Do 1.5 cups times 16 to get 24 cups. Then you covert cups to quarts to get an answer of 6. I hope this helped you, have a nice day!! :)
identify the postulate (if any) that can be used to show the two triangles are congruent.
Answer:
Step-by-step explanation:
1) SSS
2) SAS
3) SSA
4) SSA
no, don't say Angle Side Side... :P
amelia is going to invest in an account paying on interest rate of 6.5% compounded daily? help me plz someone
Answer:
$9,763
Step-by-step explanation:
Using the compund interest formula;
A = P(1+r)^t
A is the amount = $10,200
rate r = 6.5%= 0.065
time t = years
n = 1/365 ((daily compounding)
Substitute into the formula and get Pincipal P
10,200 = P(1+0.065(365))^5/365
10200 = P(1+23.725)^0.01369
10200 = P(24.725)^0.01369
10200 = P(1.0448)
P = 10200/1.0448
P = 9,762.6
Hence the amount invested is $9,763 to nearest dollars
between what two consecutive integers is 17?
Answer:
No solution
Step-by-step explanation:
17 is an integer that is in between the integers of 16 and 18
16 and 18 are not consecutive integers.
No solution
Create a proportion using the form %/100 = is/of to represent the following word problem.
14 is what percent of 50?
x/100 = 14/50
14/100 = x/50
14/100 = 50/x
x/100 = 50/14
Answer:
x/100 = 14/50
Step-by-step explanation:
x is %
14 is x % of 50
Can someone please help me out with my homework
ASAP I WILL GIVE OUT BRAINLY
Answer:x
=4
permiter=6
area=24
Step-by-step explanation:
Answer:
x = 8, area = 364 km^2, perimeter = 80 km
Step-by-step explanation:
to start, we have to recognize that opposite sides of a rectangle are congruent.
therefore ➪
2x + 10 = 4x - 6
2x + 16 = 4x
16 = 2x
x = 8
now just plug that in and you'll find ➪
length = 26km
width = 14km
area = l * w
area = 26 * 14
area = 364 km^2
perimeter = 2(l + w)
perimeter = 2(14+26)
perimeter = 80 km
What is the same as writing that “Angles 5 and 6 are supplementary adjacent angles”?
Angles 5 and 6 are not next to each other and sum up to 180°.
Angles 5 and 6 are not next to each other and sum up to 90°.
Angles 5 and 6 are next to each other and sum up to 180°.
Angles 5 and 6 are next to each other and sum up to 90°.
Answer:
Angles 5 and 6 are next to each other and sum up to 180°.
Step-by-step explanation:
supplement means adding up to 180
Angles 5 and 6 are next to each other and sum up to 180°.
Step-by-step explanation:
supplement means adding up to 180
Can someone simplify? I'm confused-
If f(x) = 5x – 2,
find f(3)
f(3) = 13
find f(-4)
|(-4) =
Enter your next step here!
Answer:
Step-by-step explanation:
f(x)=5x-2
f(3)=5*3-2
=15-2
=13
f(-4)=5*-4-2
=-20-2
=-22
Answer:
the answer is -22
Step-by-step explanation:
5*(-4)-2
= -22
ILL MARK AS BRAINLESS PLS HELP
Answer:
95-3^4=14
Step-by-step explanation:
3^4=81
95-81=14
Part A: 176
Part B: First, I did is multiple 3 to the common denominator by 4 times with the same number and that would give you a positive number of 81, then I combined 81 with 95 and your solution is 176.
Step-by-step explanation:
Part A:
-3^4 = -3x-3x-3x-3
-3^4 = 81
95+81 = 176
find the value of a and b in x^2+2x=13
Answer:
a =1 and b =2
Step-by-step explanation:
The standard quadratic is written in the form
ax^2 +bx+c =0
x^2 +2x -13 =0
a =1 and b =2
