Answer:
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Step-by-step explanation:
Given
[tex]x_1 = -2[/tex]
[tex]x_2 = 3[/tex]
[tex](x,y) = (-1,2)[/tex] --- a point on the parabola
Required
The equation
First, calculate the equation from the zeros
[tex]y =k(x - x_1)(x - x_2)[/tex]
Substitute [tex]x_1 = -2[/tex] and [tex]x_2 = 3[/tex]
[tex]y =k(x - -2)(x - 3)[/tex]
[tex]y =k(x +2)(x - 3)[/tex]
To solve for k, we substitute [tex](x,y) = (-1,2)[/tex]
[tex]2 = k(-1+2)(-1-3)[/tex]
[tex]2 = k(1)(-4)[/tex]
[tex]2 = -4k[/tex]
Divide by -4
[tex]k=\frac{2}{-4}[/tex]
[tex]k=-\frac{1}{2}[/tex]
So, the equation is:
[tex]y =k(x +2)(x - 3)[/tex]
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Answer:
C
Step-by-step explanation:
The equation of a circle is (x-5)^2+(y-7)^2=36. What is the radius of the circle?
[tex] \boxed{ \huge\boxed{ \mathcal{A}\mathfrak {nswer...}}}[/tex]
The equation of a circle is represented as :
[tex] \large\boxed{(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} }[/tex]
where,
"h" represents x - coordinate of the center of circle "k" represents y - coordinate of the center of circle" r " represents Radius of the given circleSo, from above equation we get:
[tex] {r}^{2} = 36[/tex][tex]r = 6[/tex]Therefore, Radius of the given circle measures 6 units.
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
X+y=0
x-y+2=0
Help, also write on paper please? I wanna learn how to do this
Step-by-step explanation:
Y=x
Y=x+2
Plot graph but not up to scale just for u to understand
HELPP!!!!!x
And thanks!
Answer:
7/10 > 17/25
Step-by-step explanation:
17/25 and 7/10
The common denominator is 50
17/25 *2/2 =34/50
7/10 *5/5 = 35/50
35 > 34 so
35/50 > 34/50
7/10 > 17/25
Find the mean of the data.
The number of trophies won by
each team in the district.
1, 3, 1, 5, 7, 8, 10
Mean: [? ] trophies
Answer:
5
Step-by-step explanation:
Write an equation of the line and interpret the slope:
Answer:
Equation = y=3x+12
Slope is 3
Step-by-step explanation:
3. (05.02 LC) You can draw a quadrilateral with no parallel lines and at least one right angle. (1 point) True or False
======================================================
Explanation:
If you have exactly one right angle, then it is possible to have no parallel lines. See the diagram below. Refer to the upper figure.
If you had exactly 2 right angles, then that would form a trapezoid. A trapezoid has exactly one pair of parallel lines.
If you had 4 right angles, then it would form a rectangle. Any rectangle is a parallelogram, so we have 2 pairs of parallel lines by this point.
It's not possible to have a quadrilateral with exactly 3 right angles (and the fourth angle is some non-right angle). This is because all four angles of any quadrilateral must add to 360 degrees.
Divide and simplify
x^2−9/x^2−16/x^2+5x+6/x-4
step by step pls
thanks
Answer:
Step-by-step explanation:
Answer:
[tex]\frac{(x+2)(x+3)^2(x-3)}{(x-4)^2(x+4)}[/tex]
Step-by-step explanation:
i'm going to assume what you have looks like
[tex]\frac{x^2-9}{\frac{x^2-16}{\frac{x^2+5x+6}{x-4}}}[/tex]
Let's start by factoring everything
x²-9= (x+3)(x-3)
x²-16= (x+4)(x-4)
x²+5x+6=(x+3)(x+2)
x-4= x-4
which means what we have looks like
[tex]\frac{(x+3)(x-3)}{\frac{(x+4)(x-4)}{\frac{(x+3)(x+2)}{x-4}}}=\frac{(x+3)(x-3)}{(x+4)(x-4)}\div\frac{x-4}{(x+3)(x+2)}=\frac{(x+3)(x-3)}{(x+4)(x-4)}*\frac{(x+3)(x+2)}{x-4}=\frac{(x+3)^2(x-3)(x+2)}{(x+4)(x-4)^2}[/tex]
And I think that's as simplified as it can get
Complete the equation of the line through (-8,-2)(-4,6)
use exact numbers
Answer:
y = 2x + 14
Step-by-step explanation:
Hope this helps!!!
First, you have to find the slope by using
In other words,
The slope is 2.
Then you plug the rest into point-slope form (you can use either of the points, I used the first one)
Remember that m is the slope.
Distribute the slope to the parenthesis
Isolate the y variable
Answer:
2x+14
Step-by-step explanation:
You begin solving the equation 4−5=59 4 - 5 x = 59 by subtracting 4 4 from both sides. Which is the best choice for Step 2 2 ?
Answer:
4 – 5x = 59, x = -11
Step-by-step explanation:
The given equations is :
4 – 5x = 59
Subtracting 4 both sides,
4 – 5x -4 = 59-4
-5x = 55
Dividing both sides by -5.
x = -11
So, the answer of the given equation is -11.
Which table represents exponential growth?
Step-by-step explanation:
the second is ur answer
x|y
1|2
2|4
3|8
4|16
Help me please thank u
Answer:
your answer to this question is C.
What is the value of the expression. -(2 1/2 - 7) - 6 1/2?
Answer:-2
Step-by-step explanation:
factorise using suitable identities
x^2 - 2x + 1
Answer:
(x - 1)^2
Step-by-step explanation:
using middle term break method
x^2 - 2x + 1
here, we need to numbers which gives 1 when multiplied and 2 when add .
=x^2 - (1 + 1)x + 1
=x^2 - x - x + 1
=x(x - 1) -1(x - 1)
=(x -1)(x - 1)
=(x - 1)^2
Step-by-step explanation:
by middle term factorisation method
x^2 -2x + 1
= x^2 -( 1+1)x + 1
= x^2 -x -x + 1
= x(x-1) -1( x -1)
= (x-1)(x-1)
OR
we know above polynomial ( quadratic ) equation is in form
(a - b )^2 = a^2 -2ab + b^2
so it's factories form is
( a- b)( a- b)
help ...........................................
thanks,,,,
Answer:
(1,0) (0,-3)
Step-by-step explanation:
x then y a baby crawls before it walks.
H. E. L. P. ! ! ! !
Answer:
(D) $1 050
Step-by-step explanation:
Simple interest = 7000 × 3 × 5/100 =
70 x 15 = 1 050
a population of rabbits is growing naturally at 20% each month. if the colony began with 2 rabbits, how many will there be in 5 years?
Someone help me please
Answer:
-32..............
......
Answer:
-32.
Step-by-step explanation:
This is basically the same thing as multiplying -2 5 times (-2x-2x-2x-2x-2), and you get -32.
Find the dilated coordinates with the centre of (0,2) and scale factor of 3 for the point D(2, 2).
i neeeddd this pleaseee and thank u
Answer:
(6, 2)
Step-by-step explanation:
xD' = (0-0) + (3×2) = 0+6 = 6
yD' = (2-0) + (3×0) = 2+0 = 2
the dilated coordinate D' (6, 2)
Answer:
6 and 2 pls answer my questions plss
solve for x round to the nearest tenth if necessary
Answer:
x ≈ 7.7
Step-by-step explanation:
Using the sine ratio in the right triangle
sin69° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{7.2}{x}[/tex] ( multiply both sides by x )
x × sin69° = 7.2 ( divide both sides by sin69° )
x = [tex]\frac{7.2}{sin69}[/tex] ≈ 7.7 ( to the nearest tenth )
What is the equation of the line that passes through the point (−4,−8) and has a slope of 4?
Answer:
i hatee maths thank u
Step-by-step explanation:
Solve for X answer as a whole number
Step-by-step explanation:
[tex] {a}^{2} = {4}^{2} + {2}^{2} \\ {a}^{2} = 16 + 4 \\ {a}^{2} = 20 \\ a= \sqrt{20} \\ {x}^{2} = {( \sqrt{20} )}^{2} + {3}^{2} \\ {x}^{2} = 20 + 9 \\ {x}^{2} = 29 \\ x = 5.385[/tex]
as a whole number = 5
Raj is travelling to another country.
He flies for 5 hours at an average speed of 950 km/h on one plane.
He then flies for 6 hours 30 minutes at an average speed of 830 km/h on a second plane.
What is the total distance, in km, he travelled by plane?
Answer:
9,315 km
Step-by-step explanation:
Recall that distance = rate times time.
The distance flown at 950 km/h is (950)(5) km = 4,740 km
and:
The distance flown at 830 km/h is (830)(5.5) km = 4,565 km
Then the total distane Raj traveled is (4,740 km + 4,565 km) = 9,315 km
Calculate the area of a circle with a radius of 16.9 centimeters.
a. about 224.32 cm2
c. about 106.19 cm2
b. about 212.37 cm2
d. about 897.27 cm2
Answer:
I'd say 897.27cm². That's the vlosest answer that I see.
PLEASE HELP LIKE RIGHT NOW LOL
Identify all expressions equivalent to 3.8-2-1.
4
0 6₃3
-1 + 3
3
4.5-1
3
•8+1
4.
Answer:
It's definitely not the first one or the second one, not sure about the third one but the last one is equivalent to it.
3/4 x . 8 = 6
2-1=1
Mrs. Kelly's brother is 15 year younger than her. Their combined ages add up to 62 years. What is Mrs. Kelly's age
Answer:
38.5 years old
Step-by-step explanation:
Let us represent Mrs.Kelly's age with the parameter (k). It is given that her brother is (15) years younger than her, thus his age is (k - 15). It is given that the sum of their ages is (62). Therefore one can form an equation with the given information and solve for the unknown.
(Mrs.Kelly's age) + (Brother) = (62)
Substitute,
(k) + (k - 15) = 62
Simplify,
k + k - 15 = 62
2k - 15 = 62
Inverse operations,
2k - 15 = 62
2k = 77
k = 38.5
The value of a car is deprecting at the rate of 12% Find the correct value of car when cost of car was rs 350000
please i need help
Answer:
The cost of the car is $ RS 308,000.
Step-by-step explanation:
Given that the value of a car is deprecting at the rate of 12%, to find the correct value of car when cost of car was $ RS350,000 last year, the following mathematical calculation must be performed:
100 - 12 = 88
88/100 = 0.88
350,000 x 0.88 = X
308,000 = X
Therefore, the cost of the car is $ RS 308,000.
What is the value of tan (–3 pi/4 )?
Ravi and Bella start watching a dvd a 7:40. The dvd lasts for 2 hours 25 minutes. At what time do they stop watching the dvd.
Answer:
10:05
Step-by-step explanation:
10:05
7:40+2 hours =9:40+25=10:05
PLEASE HELPPPPP
I WILL GIVE THE BRAINIEST THINGY
Answer:
The answer is the last one....
Step-by-step explanation:
Sorry for possible a vague answer, but you can divide out all the answers and you will see that only the last one proves the point...
if you do these problems in a class you are taught for sum/diff of cubes
the pattern ( a b) (a^ ab b^2) ...notice that there are no signs between the variables... the next teaching point is that the signs use this pattern...
"SAME" , "OPPOSIT", "ALWAYS A PLUS"... that is not me look that up in an algebra book.. same opposite, always a plus... I think some people call is "SOAP" same, opposite Always plus (that works) ....
bottom line here is that you answer needs cubes under the division, and the
end part has to have a "+" , given that after multiplying by "-b" you have to end up with a "-B^3" only a "+b^2" will do , that is consistent with the fourth answer
simplify (5+1)2 - (12+32) /3
Answer:
-8/3
Step-by-step explanation:
(5+1)2 - (12+32) /3
(6)(2) - (44)/3
12 - 44/3
-8/3
