Answer:
Both equations include the slope, which is undefined for a vertical line.
Step-by-step explanation:
it just is lol
Please help! what is an equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32)?
Answer:
f(x) = - 4x² - 20x + 56Step-by-step explanation:
f(x) = a(x - x₁)(x - x₂) - factored form of the equation of the parabola with zeros x₁ and x₂
x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7
So:
f(x) = a(x - 2)(x + 7) - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)
The parabola passing through point (1, 32) means if x=1 then f(x)=32
Then:
32 = a(1 - 2)(1 + 7)
32 = a(-1)(8)
32 = - 8a
a = - 4
Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):
f(x) = -4(x - 2)(x + 7)
Expanding to standard form:
f(x) = -4(x - 2)(x + 7)
f(x) = -4(x² + 7x - 2x - 14)
f(x) = -4x² - 20x + 56
The equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is
f(x) = -4 ( x - 2 ) ( x + 7 )
Its standard form is
f(x) = -4x² - 20x + 56.
What is a parabola?It is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
We have,
To find the equation of a parabola we use the factored form of a quadratic equation.
f(x) = a ( x - m ) ( x - n)
Where a is the leading coefficient and m and n are the zeros of the quadratic.
The equation has x-intercepts at (2, 0) and (-7, 0) so we can say that,
m = 2
n = -7
Now the equation passes through (1, 32) = (1, 32) so we have,
32 = a ( 1 - 2 ) ( 1 - (-7) )
32 = a ( -1 ) ( 1 + 7 )
32 = a ( -1 )8
32 = -8a
a = -32 / 8
a = -4
We have,
m = 2
n = -7
a = -4
The equation of the parabola is:
f(x) = a ( x - m ) ( x - n)
f(x) = -4 ( x - 2 ) ( x + 7 )
We can expand to its standard form as:
f(x) = ( -4x + 8 ) ( x + 7 )
f(x) = -4x² - 28x + 8x + 56
f(x) = -4x² - 20x + 56
Thus the equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is f(x) = -4 ( x - 2 ) ( x + 7 ) and its standard form is f(x) = -4x² - 20x + 56.
Learn more about parabola here:
https://brainly.com/question/4074088
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Please hurry I need this fast
Answer:
c
Step-by-step explanation:
HELP! After finding area explain the reasoning you used to find the area and I’ll give brainliest!
Answer:
The answer is 180 yds squared.
Step-by-step explanation:
Segment the areas. One area has the measurements 5 and 6. Then the other one has measurements 15 and 10. This means you get 150 + 30. The answer is 180 yds squared.
Two rectangles with the same side lengths are always congruent.
Answer:
true
Step-by-step explanation:
Two triangles are congruent if both of them have the same length of sides. Two rectangles are congruent if both of them have the opposite sides are equal. Two squares are congruent if both of them have the same edges.
Please help!!!!!! ASAP!!!!!!!!
Answer:
Step-by-step explanation:
Answer:
2. m∠4 + m∠5 = 210°
3. Alternate interior angles theorem.
4. 2 × m∠4 = 210°
5. 105°
Step-by-step explanation: i hope this helped youuuuuu have a wounderful thanksgiveing eat alot of food and you get to sleep in Imao!!!!
Which inequality is true?
A. I +9< 12
B. 57 > 15
C.
6
27
:> 1
D. 41 - 2 < 10
i need help please
Answer:
B
Step-by-step explanation:
Answer:
thx for 5 points
Step-by-step explanation:
What is the measure of angle SUT?
A) 35
B) 70
C) 110
D) 290
Answer:
C
Step-by-step explanation:
35+35+x=180
x=180-70
x=110
Solve for k
p(k + 12) = 8 – 4k
Solve for k:
k = 4 (2 − 3p)/p + 4
Answer:
k = 4(2 - 3p)/(p + 4).
Step-by-step explanation:
p(k + 12) = 8 – 4k
pk + 12p = 8 - 4k
pk + 4k = 8 - 12p
k(p + 4) = 8 - 12p
k = (8 - 12p)/(p + 4)
k = 4(2 - 3p)/(p + 4).
What is the equation of the line that passes through the point (4,8) and has a slope of 0?
Answer:
The answer is
y = 8Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have
[tex]y - 8 = 0(x - 4) \\ y - 8 = 0 \\[/tex]
We have the final answer as
y = 8Hope this helps you
8. When is a/b equal to an integer?
B=0
B<1
B>1
B=1 or -1
50 pointa for person who answers
How do I do a and b someone pls help
Nolan uses 3 yards of string. He cuts the string into pieces that are 1/6 yard long. How many pieces does Nolan have?
Answer:
18
Step-by-step explanation:
6×3=18
Answer:
18
Step-by-step explanation:
Number of band members beyerhighschool in Orange County
Answer:
its answer is in high school is ten
One wee, Ethan earned $391.00 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $102.00
Answer:
6
Step-by-step explanation:
391/23=17 per hour
102/17=6 Hours
So he would have to work 6 hours to earn $102.00.
Click on the supporting detail that correctly explains what
happens during reduction firing.
Answer:the third one
Answer: sorry i’m late ..
but the answer is : in reduction firing, the amount of oxygen is reduced as the fuel burns. So, different chemical reactions take place
Step-by-step explanation:
i took the lesson on iReady “understanding technical and scientific texts - tutorials- part 2- Level d” !!
Is 4 to 7 the same as 7 to 4? Explain why or
why not?
Step-by-step explanation:
4 times of 7 (7 + 7 + 7 + 7 = 28) is the same as 7 times of 4 (4 + 4 + 4 + 4 + 4 + 4 + 4 = 28)
4^7 (4 x 4 x 4 x 4 x 4 x 4 x 4 = 16384) is not the same as 7^4 (7 x 7 x 7 x 7 = 2401)
Answer:
Yes. The difference between them are the same. Both have the same number of units between them,
Step-by-step explanation:
A rectangular field is to be enclosed by a fence and divided
into two parts by another fence. Find the maximum area
that can be enclosed and separated in this way with 800 m
of fencing
Answer:
80000 square meters
Step-by-step explanation:
perimeter + dividing fence = 800
let a = length
let b = width
let c = length of dividing fence
perimeter = 2*a + 2*b
let's say...
c is the same as the length
2a + 2b + c = 800
2a + 2b + a = 800
3a + 2b = 800
area = length*width
area = a*b
area / b = a
3*(area/b) + 2b = 800
3*(area/b) = 800 - 2b
area/b = (800 - 2b)
area = (800 - 2b)*b
To make the area large, we make the right hand side large.
800b - 2b^2
If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.
y = -2x^2 + 800x
y = -x^2 + 400x
0 = x*(-x + 400)
roots are x= 0 and x = 400
vertex is at x, aka b = 200
area at b=200 is (800 - 400)*200 = 80000
and a is area/b... 80000/400 = 200
help pleaseeeeeeeeee
Answer:
C.
Step-by-step explanation:
Write an expression equivalent 6x+3y-4x+2
1 15/100 + 1/50 + 1.175
Answer:
Step-by-step explanation:
Change fractions to have the same denominator or change them all to a decimal. Then add.
Decimal method:
1 and 15/100 is equal to 1.15
1/50 is equal to 0.02
The final term is already a decimal
Add. 1.15 + 0.02 + 1.175 = 2.345
At the first track meet, Bobby threw the shot put feet. At the second track meet he threw the shot put feet.
Which of the following expressions could be used to find the distance he improved his throw from the first track meet to the second track meet?
A. 423/4 + 44 1/2
B. 42 3/4 - ( -44 1/2 )
C. 44 1/2 - ( 42 3/4 )
D. 42 3/4 - 44 1/2
Answer: it has to be D
Answer:
The Answer is D) Just did the test!!
Step-by-step explanation:
There are 180 white lockers in the school. There are 3 white lockers for every 5 blue locker. How many lockers are in the school?
Answer:
There are 480 lockers in school.
Step-by-step explanation:
480
Step-by-step explanation:
180÷3=60
60x5=300
300+180=480
Write the equation of a line with the slope of -7 and passing through the point (2, 2).
Answer:
y=-7x+16
Step-by-step explanation:
y-y=m(x-x1)
y-2=-7(x-2)
y-2=-7x+14
+2 +2
y=-7x+16
BRAINLIEST! Please help me with the following riddle (its part of an assignment):
If an electric train is traveling south, which way is the smoke going?
Answer:
The electric train produces no smoke.
Step-by-step explanation:
Hope this helped! :>
Answer:
There is no smoke. This is because the train is electric so it does not even matter the direction.
Find the 15th term of the geometric sequence 2, 6, 18,...
Answer:
a₁₅ = 9 565 938Step-by-step explanation:
6÷2 = 3 and 18÷6 = 3 so: q = 3
[tex]a_n=a_1\cdot q^{n-1}\\\\a_1=2\\q=3\\n=15\\\\a_{15}=2\cdot3^{15-1}\\\\a_{15}=2\cdot3^{14}\\\\a_{15}=9\,565\,938[/tex]
Answer:
9 565 938
Step-by-step explanation:
Circle A has a diameter of approximately 20 inches and an area of 314 in2 (approximately 300 in2) Circle B has a diameter of approximately 60 inches and an area of 2826 in2 (approximately 2700 in2) Circle C has a diameter of approximately 40 inches. Find the area of Circle C and explain or show your reasoning.
Answer:
1256.8in^2Step-by-step explanation:
Step one:
Given data
Circle A
diamteter= 20 in
Area= 314 in^2 approx. 300in^2
Circle B
diamteter= 60 in
Area= 2826in^2 approx. 2700in^2
Step two:
Circle C
diamteter= 40 in
radius= 20 in
The expression for A is given as
A=πr^2
A=3.142*20^2
A=3.142*400
A=1256.8
The area of circle C is 1256.8in^2
What is the value of x?
A rectangular lot is 20 yards longer than it is wide and its area is 2400 square yards. Find the dimensions of the lot
Answer:
120
Step-by-step explanation:
Divide 2400 by 20 to get your answer! It may be wrong
Answer:
W = 40
L = 60
Step-by-step explanation:
L = 20 + W
L*W = 2400
(20 + W)*W = 2400
W^2 + 20*W - 2400 = 0
(W + 60)*(W - 40) = 0
W = 40 (yards)
L = 20 + W
= 20 + 40 = 60
W = 40
5. A line has a slope of (-3/2) and a
y-intercept of (-4). Write the equation of
the line.
Explanation:
Answer:
y = - [tex]\frac{3}{2}[/tex] x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{3}{2}[/tex] and c = - 4 , thus
y = - [tex]\frac{3}{2}[/tex] x - 4 ← equation of line
can some one help me with this please and show me how to do this?
Answer:
1.8
Step-by-step explanation:
Calculate the absolute values - the -1 turns into 1. Than the 0.8 stays the same.After that you just add them together