Answer:
it b
Step-by-step explanation:
a) y = (x + 2)(x + 3) helps find the x-intercepts most efficiently.
b) y= [tex]x^{2} +5x+6[/tex] helps find the y-intercept most efficiently
What is intercepts?The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Given that:
a) y= (x+2)(x+3)
i.e., x+2= 0 , x+3 = 0
x= -2 , x= -3
and, y = [tex]x^{2} +5x+6[/tex]
= (x+2)(x+3)
x= -2 and y= -3
y = (x + 2)(x + 3) helps to find the x-intercepts most efficiently
Now,
b) y=(x+2)(x+3)
x =0 , y = 2 x 3 =6
y= [tex]x^{2} +5x+6[/tex]
y= 0 +05 x 0 + 6
y= 6
So, for y-intercept use y= [tex]x^{2} +5x+6[/tex]
Learn more about intercepts here:
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Identify the center and radius of the circle with the following equation: [tex]x^2+y^2+4x+8y+11=0[/tex]
Hey there,
Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].
x² + y² + 4x + 8y = -11
(x² + 4x) + (y² + 8y) = -11
(x + 2)² + (y + 4)² = 9
If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.
(x - (-2))² + (y - (-4))² = 3²
Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.
Best of Luck!
Answer:
[tex] \displaystyle \text{centre} :( - 2, - 4)[/tex]
[tex] \text{redius} : 3[/tex]
Step-by-step explanation:
we are given a circle equation
[tex] \rm \displaystyle {x}^{2} + {y}^{2} + 4x + 8y + 11 = 0[/tex]
we want to figure out the centre and the redious of the circle from the equation notice that the given circle equation is in general form given by
[tex] \rm \displaystyle {x}^{2} + {y}^{2} +A x +B y +C = 0[/tex]
general form of circle equation is a simplified version of standard form. the standard form of circle equation is given by:
[tex] \displaystyle (x - h {)}^{2} + (x - k {)}^{2} = {r}^{2} [/tex]
where:
(h,k) is the centrer is the rediousnotice that the there're two completed squares in the standard form therefore we can consider completing square to figure out the centre and the redious
indentifying centre and redious:
rearrange:
[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) + 11 = 0[/tex]
cancel 11 from both sides:
[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) = - 11[/tex]
add 4 to the both sides so that the equality don't affect:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = -11 + 4[/tex]
simplify addition:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = - 7[/tex]
once again to complete the square add 16 to both sides which yields:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y + 16) = 9[/tex]
complete the squares by using (a+b)²=a²+2ab+b² pattern:
[tex] \rm \displaystyle ( {x}+ 2) ^{2} +( {y} + 4) ^{2} = 9[/tex]
we can still rewrite it to figure out the redious and the centre:
[tex] \rm \displaystyle ( {x} - ( - 2)) ^{2} +( {y} -( - 4) ) ^{2} = {3}^{2} [/tex]
therefore we obtain:
centre:(h,k)=(-2,-4)redious:r=3and we are done!
The function f is given in three equivalent forms.
Which form most quickly reveals the vertex?
A. f(x)=-3(x+1)(x-5)
B.f(x)=-3x^2+12x+15
C.f(x)=-3(x-2)^2+27
what is the vertex?
( , )
Answer:
C Vertex is (2, 27)
Step-by-step explanation:
C Vertex is (2, 27)
Can the following properties of figures change when transformed with a rigid motion? Move each letter a-h to the appropriate box.
A. Side Lengths
B. Slope of a Side
C. Orientation
D. Area
E. Interior Angles
F. Location in the plane
G. Parallel Lines in the pre-image
H. Perimeter
Yes, Can Change No, Can't Change
What is 5x+24=134 thank you so mich have a wonderful day
Answer:
x = 22
Step-by-step explanation:
5x + 24 = 134
134 - 24 = 110
110 / 5 = 22
x = 22
Tia rounds a number, x , to 3 sf. The result is 9.73. Write the error interval for x in the form a ≤ x < b .
Answer: 9.725 ≤ x ≤ 9.734
Step-by-step explanation:
We know that 9.73 is rounded, then we need to look at the next digit after the last one of 9.73, this would be the third digit after the decimal point.
We know that if this digit is smaller than 5, then we round down.
Then the largest number that can be rounded down to 9.73 is:
9.734
Now we want to find the smallest number that can be rounded up to 9.73
We know that if the next digit is 5 or bigger, then we round up.
Then the number 9.725 is rounded up to 9.73
And this is the smallest number that can be rounded up to 9.73
Then the error interval is:
9.725 ≤ x ≤ 9.734
Help please!! What would you do to get "X" all by itself on the
left side of the equation?
Answer:
Add 1
Step-by-step explanation:
I hope this helps :)
Answer:
You would need to add one
Step-by-step explanation:
Since there is a negative one, you will get rid of it by adding one
(Just do the opposite of the the sign)
HAVE A GREAT DAY! :)
Help please!! Will give 5 star rating for correct answer!!
Answer:
x = 74 degrees
Hope that helps
Answer:
74
Step-by-step explanation:
2x+32=180
2x=148
x=74
The value o -8/15 . 20/64 is
Answer:
-1/6 or in decimal -0.166667
Step-by-step explanation:
just simplified
Select the expression that is equal to –10(4x – 5).
Answer:
-2 (20x - 25)
Step-by-step explanation:
Answer:
40x - 50
Step-by-step explanation:
10(4x)= 40x
10(-5)= - 50
40x - 50
plz i need to findthe area of the octagon plzzzzzz help
Answer:
Check pdf
Step-by-step explanation:
HELP ASAP 20 POINTS BRAINLIEST
So the arrow goes through (-2 and -2) so your answer would be -4
-2+-2=-4
Hope this helps
find the area will mark brain list
Answer:
43
Step-by-step explanation:
18+10=28 10+5=15 15+28=43
What is the vertex of f(x)=(x+3)2+4?
Answer:
Below.
Step-by-step explanation:
f(x) = a(x - j)^2 + k is the standard vertex form where (j, k) is the vertex,
f(x) = (x + 3)^2 + 4
Comparing this to the standard form we see that:
vertex = (-3, 4)
Andrew has $90 in a savings account. The interest rate is 10% per year and is not compounded. How much interest
will he earn in 2 years?
Answer:
He will earn 18 dollars in interest.
Step-by-step explanation:
I got this answer form multiplying 10% of 90 by 2, which 10% of 90 is 9, and 9 times 2 is 18, so that's how I got my answer. Please comment on this answer to tell me if it's wrong. I hope it is right and that this really helps you. Have a great day!
if the force of an object is 100N and the mass is 25Kg, what is the acceleration?
Answer:
4ms-²
Step-by-step explanation:
Applied Force=100N
Mass of the object=25Kg
Let the acceleration be 'a'.
Force=Mass*Acceleration
100=25*a
100/25=a
4=a
which one is bigger 6000 grams or 5000 kg
Answer:
[tex]5000kg \: is \: greater.[/tex]
[tex]as \: we \: know \: that \: 1000 \: gramm \: make \: 1 \: kg[/tex]
[tex]so \: 6000 \: g \: make \: 6 \: kg.[/tex]
[tex]and \: 5000 \: kg \: is \: much \: greater \: than \: 6 \: kg.[/tex]
look at this table
is this relation a function
Answer:
i believe function !
Step-by-step explanation:
cuz im smart
Answer:
No
Step-by-step explanation:
The tables shows two inputs that are the same value which is not possible in a function
1/4x2(4x+8y)-3/5x(25x2-20xy)
Answer:
On the photo it shows all the steps you need. Next time you should make the multiplying symbol to this * instead it'll be easier to understand because if it was a or a multiply symbol
Lowest common factor of 28 and 30
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 2
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Lily and Wilder live 810 miles apart. If they leave at the same time and drive towards each other with Lily driving at 55 mph and Wilder driving at 80 mph, after how many hours will they meet?
Given:
Distance between Lily and Wilder = 810 miles
They drive towards each other with Lily driving at 55 mph and Wilder driving at 80 mph.
To find:
After how many hours will they meet?
Solution:
Lily driving at 55 mph and Wilder driving at 80 mph towards each other. So, the relative speed is:
Relative speed [tex]=(55+80)\text{ mph}[/tex]
[tex]=135 \text{ mph}[/tex]
We know that,
[tex]Time=\dfrac{Distance}{Speed}[/tex]
[tex]Time=\dfrac{810}{135}[/tex]
[tex]Time=6[/tex]
Therefore, Lily and Wilder will meet after 6 hours.
True or False? The measure of a tangent-chord angle is twice the measure of
the intercepted arc inside the angle.
The statement made which says the tangent - chord angle is twice the measure of the intercepted arc inside the angle is FALSE.
According to the angle theorem, the angle formed by the intersection of the chord and tangent on a circle is twice the measure of the intercepted arc. This means that the intercepted arc is twice the measure of the angle formed and not the other way round.Therefore, the statement is False because the intercepted arc is twice the measure of the angle formed by the intersection of the chord and the tangent on the circle.
Learn more :https://brainly.com/question/4322607
Answer:
This is False
Step-by-step explanation:
A math class has 24 scholars. Each scholar earns 2 HERO points for coming to class and turning in homework on time. The function H(s) = 2s describes the total number of HERO points awarded where s represents the number of scholars. Michael says 31 is a possible output for this scenario. Do you agree or disagree? EXPLAIN for full points.
H=2s
31=2s
S=31/2=15.5 scholars
Answer:no
Step-by-step explanation:
The only way that you shouldn’t do is wrong and I can get it on your website if it does commager you know how it is now it doesn’t matter if I don’t have to the text I want it I can put the link in it I have never a text from the other person that is a good but it’s a little more user to do that I don’t know why I can’t even see that it is not the same thing.
Umm wha? This makes no sense to me. Like what are you sayin
Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
Answer:
1. No
2. No
3. Yes
4. Yes
Step-by-step explanation:
Any time you multiply/divide both sides with a negative the inequality will be reversed!
Answer:
c and d
Step-by-step explanation:
5Please help!! Geometry, will mark brainliest!
a line has a slope of -2 and includes the points (-1,r) and (2,4). write the value of r in the empty box
Answer:
r= 10
Step-by-step explanation:
Kristin
spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost
$15. If she bought a total of 7 then how many of each kind did she
buy?
PLEASEEEE HELPPPP ME!!!
Answer:
a,b,d
Step-by-step explanation:
I think the answer might be 1, 4, and 5. Hope this helps!
Evaluate 1/2(1/4)+3/8=
Step-by-step explanation:
1/2(1/4)+3/8=1/8+3/8=(1+3)/8=4/8=1/2
HELPPPPPPP!!!!! ITS DUE SOONNN