Answer:
centre = (- 1, - 2 ) , radius = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + 2x + y² + 4y = 20
To obtain equation in standard form use method of completing the square
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(2)y + 4 = 20 + 1 + 4
(x + 1)² + (y + 2)² = 25 = 5² ← in standard form
with centre = (- 1, - 2 ) and r = 5
On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3) crosses the x-axis at (negative 4, 0) and crosses the y-axis at (0, negative 3).
Which statement is true about the graphed function?
F(x) < 0 over the interval (–∞, –4)
F(x) < 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –4)
Answer:
f(x) > 0 over the interval (–∞, –4)
Step-by-step explanation:
We know that:
Our curve has a minimum at (-2.5, -12)
Our curve has a maximum at (0, - 3) (I assume that is a local maximum).
We know that the curve crosses the x-axes at (-4, 0)
We know that the curve crosses the y-axis at (0, -3)
Notice that when our curve crosses the x-axis at (-4, 0), it goes from above the axis to below the axis.
How we know this?
Remember that "crossing" the x-axis means that the sign of f(x) changes.
At the value x = -2.5 (which is larger than x = -4) the function is negative.
f(-2.5) = -12
and:
f(-4) = 0
So we can see that after f(x) crosses the x-axis at x = -4, the function is negative.
This means that before that point, the function must be positive.
So for values of x smaller than -4, the function should be larger than zero.
f(x) > 0 if x < -4
From this, we can conclude that in the range (-∞, –4), the function is above the x-axis.
Then we would write this as:
f(x) > 0 over the interval (–∞, –4)
The correct option is the last option.
Answer:
Its D
Step-by-step explanation:
For f(x) = 3x + 1 and g(x) = x2 - 6, find (f + g)(x).
Answer:
x^2+3x-5
Step-by-step explanation:
f(x) = 3x + 1
g(x) = x^2 - 6,
(f + g)(x)= 3x + 1 +x^2 - 6,
Combine like terms
= x^2+3x-5
Answer:
[tex] {x}^{2} + 3x - 5[/tex]
Step-by-step explanation:
[tex]f(x) = 3x + 1 \\ g(x) = {x}^{2} - 6 \\ (f + g)(x) = (3x + 1) + ( {x}^{2} - 6) \\ = 3x + 1 + {x}^{2} - 6 \\ = {x}^{2} + 3x - 5[/tex]
A swimming pool has 143 gallons of water in it. The swimming pool drains at a rate of 8 gallons per minute. How much water is in the swimming pool after 11 minutes?
How much water does the swimming pool have after 11 minutes? Solve on paper, then enter your answer on Zearn.
The swimming pool has
gallons of water after 11 minutes.
Answer:
55 Gallons
Step-by-step explanation:
143 - (8)(11)
143 - 88
143 - 88
55 gallons
please, help! i really need it !! like rnnn!
Please help me it’s due in 2 mins
82.053°??
(Tried going as fast as I can)
For a moving object, the force acting on the object varies directly with the objects acceleration. When a force of 35 N acts on a certain object, the acceleration of the object is 5 m/s^2. If the force is changed to 21 N, what will be the acceleration of the object?
=======================================================
According to Newton's Second Law, we know that
F = m*a
where F is the force applied, m is the mass and 'a' is the acceleration.
We see that this is a direct variation equation for F and a, such that m is the constant of variation. It's similar to how y = kx is also a direct variation equation.
Plug in F = 35 and a = 5 to find m
F = ma
35 = m*5
35/5 = m
7 = m
m = 7
The object has a mass of 7 kg
Our equation F = ma updates to F = 7a
Now plug in the force F = 21 to find 'a'
F = 7a
21 = 7a
21/7 = a
3 = a
a = 3
The acceleration will be 3 m/s^2
Notice how a smaller force applied means that the acceleration has also gone down as well.
How much bacteria in 7 days?
Answer:
y=113*(1+0.82)^x
x=7
y=113*(1.82)^7=7474.43
Create an equation in slope-intercept form from A line that includes the point (6,–7) and has a slope of 2.
Answer:
Use the equation y=mx+c
the slope(m) is 2,y is -7and x is 6
therefore you firstly have to find the y intercept (c)
y=mx+c
-7=2(6)+c
-7=12+c
-7-12=c
-19=c
then replace the gradient and y intercept in the equation
y=mx+c
y=2x-19
or you can use the formula y-y1= m( x-x1)
I hope this helps
What is the area of the triangle in heron's formula?
Step-by-step explanation:
People also ask
What is Heron's formula of area of triangle?
Then the semi-perimeter is, s = (a + b + c)/2 = (3 + 6 + 7)/2 = 8. We will find the area of the triangle using the Heron's formula. This formula was derived by a mathematician known as the Hero of Alexandria.
...
Area of Triangle With 3 Sides.
1. Area of Triangle with 3 Sides Formula
3. FAQs on Area of Triangle with 3 Sides
....
...What is the area of formula of area of triangle?The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Substitute 14 for b and 10 for h in the formula.Answer:
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Step-by-step explanation:
Heron's formula allows us to find the area of any triangle when given the length of the three sides of the triangle. Let [tex]s[/tex] represent the semi-perimeter of the triangle and let the three sides be [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex].
The semi-perimeter is equal to half the perimeter and is calculated by:
[tex]s=\frac{a+b+c}{2}[/tex]
After you've found [tex]s[/tex], multiply it by the difference between it and each of the sides of the triangle. Then take the square root of that value to find the area of the triangle. Therefore, Heron's Formula is:
[tex]\boxed{A=\sqrt{s(s-a)(s-b)(s-c)}}[/tex]
1.explain the process of indirect measurement. Create an example situation when indirect measurement would be useful.
2. Solve of x,y, and z in the figure above^^. Show your work
Answer:
Step-by-step explanation:
(1). Indirect measurement is a method of using proportions to find an unknown length or distance in similar figures.
"The "h" feet tall building with its shadow of 90 feet and 6 feet tall person with its shadow of 15 feet form similar right triangles. Find the height of the building."
Find the measure of one interior angle for the following polygon
Answer:
i had the same question myself
Step-by-step explanation:
I need help also
A shop owner made a loss of 12% when he sold an item for $264. What was the cost price of the item?.
Can someone please help me out Its really Important please marking brainliest Answer what you can
Answer:
1.
a rectangular prism is simply a block. it has length, width and height. and similar to the area of a rectangle (length×width) we get as volume length×width×height.
other than that we only need to consider that a volume always has cubic units (like cm³, m³, ft³, ...).
the volume of a cylinder is again ground area times height, when we imagine the cylinder to stand on it circular side.
and the states standard formula (hi, internet !) for the volume of a cylinder is pi×r²×height
so, we have 75×20×14 = 21,000 cm³
and pi×75²×120 = pi×5625×120 = 2,120,575 cm³
so, the cylinder has a much bigger volume.
3.a.
the standard formula for the volume of a pyramid (hi, internet !) is length×width×height/3
the diagram means that it is a square pyramid (the ground area is a square). therefore all sides of the ground area are of equal length. length = width
so, we have 64×64×40/3 = 54631.333... m³
3.b.
as the description says, 5000 people fit in, so, to find how much volume is there available per person, we need to divide the volume by 5000.
54631.333... / 5000 = 10.923 m³
Step-by-step explanation:
and again, you need only to search the formulas on the internet, and then calculate this with the given numbers yourself, and you will be much faster than paying things here and waiting for answers and copy/pasting things.
again, there is practically nothing to explain, just to use the standard formulas and the calculator. what's the problem ?
I will gladly explain to you concepts you have not understood (that is the point of Brainliest). but I and others here are not your personal slaves to do your work for you.
** I NEED HELP PLEASE AND THANK YOU***
Instructions : X,Y,and Z are midpoints. Find the length of each segment.
Answer:
MZ = 10
ZO = 10
MO = 20
XZ = 9
YZ = 7
Step-by-step explanation:
Triangles are all the same, proportionally.
X is midpoint of 14, so 7
Y for 18, so 9
Triangle with 10 is 7, 9, 10
Full triangle is double at 14, 18, MO
Since angle N is same angle, MO is double 10, so 20
Z is midpoint, so both halves are 10
Because of midpoints, XZ and YZ with 10 form same triangle as half triangle at 9, 7, and 10 respectively.
i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have.(hint: one is the other simplified)
Answer:
0.05N - 0.1N + 1.7 (in dollars
1.7 - 0.05N (in dollars)
Step-by-step explanation:
Given :
Total number of coins = 17
Number of nickels = N
Number of dimes = 17 - N
1 nickel = 5 cent = $0.05
1 dime = 10 cent = $0.1
The amount of money :
(Value of nickel * number of nickels) + (value of dime * number of dime)
(0.05 * N) + (0.1 * (17-N))
0.05N + 1.7 - 0.1N
0.05N - 0.1N + 1.7
-0.05N + 1.7 = 1.7 - 0.05N
I need help please! Will mark brainliest! (both are seprate questions!
Step-by-step explanation:
if you want to find volume of cone you must you this formula: hπr² so 10*π(3)*r²(4)= 120ft² and
if you want to find volume of cylinder you should use this formule: πr²*h/3 =π(3)*r²(4)*h(3)/3= 12 the figure has 132 volume in totally.
In the figure, BAT - CAT. Which statement is true by CPCTC?
Answer:
C
Step-by-step explanation:
The angles are congruent by CPCTC as they correspond with one another.
Answer:
The final answer, D
Step-by-step explanation:
Source: Done this question before
The graph represents the system of inequalities shown below. Determine whether the statement that follows the graph is true or false.
Answer:
false
Step-by-step explanation:
there is no graph...
Suppose you invest $2200 at an annual interest rate of 5.3% compounded continuously. How much will you have in the account after 7 years?
Type your answers and then click Done.
What is the value of P?
Fill in the blank text field 1
What is the value of r in decimal form?
Fill in the blank text field 2
What is the value of t?
Answer:
2200, 0.053 and t=7
Step-by-step explanation:
Intrest will be 3158. 1
1. Determine the measure of the unknown angles indicated by letters. Justify your answers with
the properties or theorems you used.
Answer:
110
Step-by-step explanation:
we use the sum of 3 angles in a triangle is 180
and sum of 2 adjacent angles is 180 too
180= (180-d)+)+(180-85)+(180-165)
so d=110
Step-by-step explanation:
video do oo so do to go do go to
giai bat phuong trinh: 10x + 3 - 5x_< 14x + 12
Answer:
x>_-1
10x + 3 - 5x_< 14x + 12
-9_<9x
Answer:
Step-by-step explanation:
10x +3-5x < (nhỏ hơn hoặc bằng) 14x=12
10-14x-5x< bằng 12 -3
-9x< bằng 9
x > bằng -1
Please help…
As soon as possible..
note: you may need to leave off the pi term if your teacher just wants to know what goes in the green box
======================================================
Work Shown:
C = 2*pi*r
C = 2*r*pi
C = 2*5*pi
C = 10pi
Which pair of polygons is congruent?
Answer:
C
Step-by-step explanation:
Polygon 3 and 5 are congruent cause they have the same length of side
If 7 beans were on your plate, and you took away 2 bananas, how many apples are left?
Answer:
4 tacos
Step-by-step explanation:
according to the converse of triangle proportionality theorem, 7 beans is equivalent to 5 bananas, so if we took 2 away we would be left with 4 tacos, not apples because an apple a day keeps the doctor away and we are in a pandemic right now
HELPP!!
What is the approximate sum of this series?
Answer:
The answer of this question is 134.83
surface areas geometry help :)
Answer:
The surface area of the rectangular prism is 430[tex]cm^{2}[/tex]
Step-by-step explanation:
To find the surface area of a rectangular prism you need to follow the formula
A=2(wl+hl+hw)
Hope this helps!
The function m is given in three equivalent forms.
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
m(x) = 2(x +4)^2 – 8
m(x)= 2x^2 + 16x + 24
m(x)=2(x+6)(x+2)
Write one of the zeros
Which statement correctly compares the function shown on this graph with
the function y = 4x + 2?
Answer:
Y=4X+2
Y=4X
4X/2
4*2+2=Y
Y=2
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
(-4)-(+2)= PLS HELPPP MEEEEEEE
[tex]\sf( - 4) - ( + 2) \\ = \sf - 4 - 2 \\ \sf \: = - 4 + - 2 \\ = \underline{\bf - 2}[/tex]
[tex]( - 4) - ( + 2)[/tex]
[tex] = - 4 - 2[/tex]
[tex] = - 4 + ( - 2)[/tex]
[tex] \boxed{ = - 2}[/tex]
Please help me solve this problem
Answer:
-4
they wanted you to compute using x as 3
-2*3 + 2 = -4
Step-by-step explanation:
