Answer:
-4,2
Step-by-step explanation:
(x-2) (x+4)=0
x-2=0
x=2
x+4=0
x= -4
Answer:
x=-4, x=2
Step-by-step explanation:
Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.
There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.
When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.
Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.
If the perimeter of a rectangle is 6x^2-2x+14 and the length is x^2-x+8 what is the measure of the width?
Please help!!
Answer:
w = 2x^2-2x+15
Step-by-step explanation:
Since the formula to find the perimeter is P=2l+2w, use this to set up your equation:
6x^2-2x+14 = 2(x^2-x+8) + 2w
Then, distribute the 2 to everything inside the parentheses.
6x^2-2x+14 = 2x^2-2x+16 + 2w
Subtract 2x^2-2x+16 from both sides, leaving you:
4x^2-4x+30 = 2w
Divide 2 from both sides.
2x^2-2x+15
The answer is 2x^2-2x+15
Which of the following is a possible situation for the graph shown?
Step-by-step explanation:
but the graph is not given here
The sum of two consecutive even numbers is 214. What are the numbers?
Step-by-step explanation:
since they are consecutive even numbers, one is bigger by 2 than the other number.
so,
x + (x + 2) = 214
2x + 2 = 214
x + 1 = 107
x = 106
so, the 2 numbers are 106 and 108.
the ratio of adult to children in the spot club is 5:3 There are 120 people in the club. how many children are there
Answer:
5:3=8
3/8 x 120
3/1 x 15
3 x 15=45
Step-by-step explanation:
hope this helps
sorry
Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius 6
Answer:
c.
took the test
Step-by-step explanation:
theres the picture i dont know how to write it out.
Answer:
x > -2
Step-by-step explanation:
As the circle in the number line is not filled, it will not include -2 and as the number line starts from -2 and goes right it will be x > -2.
Hope this helps!!
PLEASEEE HELP ME WITH THIS!!!
Answer:
m∠H = 10°
Step-by-step explanation:
ΔFGH is an isosceles triangle. I made a diagram, so m∠F ≅ m∠H by B.A.T(base angle theorem). This is because an isosceles triangle have to congruent sides and angles.
Diagram is attached:
-Chetan K
Determine if the triangles are similar. If similar, choose how and also choose the correct similarity statement.
Select 2 correct answer(s)
SAS
SSS
AA
Not Similar
△LMN ~ △GHN
△LNM ~ △GHN
△MLN ~ △GHN
Answer:
SAS∆LMN ~ ∆GHNStep-by-step explanation:
If the long segments have the same ratio as the short segments, then corresponding sides of the large and small triangles are proportional.
LG/MH = 12.5/10 = 1.25
GN/HN = 40/32 = 1.25 . . . . so the triangles are similar
__
The proportional side pairs are LN and GN, MN and HN. Angle N is between those side pairs, so the SAS criterion applies.
Since corresponding vertices are (L, G), (M, H), and (N, N). ∆GHN will be similar to ∆LMN.
A rectangle has an area of 24cm Function f gives the length of the rectangle, in centimeters when the width is w cm. Determine if each value,
in centimeters, is a possible input of the function
3 0.5 42 60
Answer:
Yes
Step-by-step explanation:
f = 24/w
Just plug in each one, would only be an error if denominator would = 0
22 divided by a number s in algebraic expressions
Answer:
22 divided by a number s
Step-by-step explanation:
[tex] \frac{22}{s} [/tex]
Bob bought 2Ibs of apples for $6. Explain how to find the unit rate and give the meaning of unit rate
Answer:
Unit rate is 3
Step-by-step explanation:
The unit rate means the value of ONE unit.
In this case, it would be the value of ONE pound of apples.
I divided 6 by 2, which gave me THREE.
Help me with this hw plz
Answer:
here
Step-by-step explanation:
А. parallelogram .............
An Earth worm Moves at a
distance of 45cm in 90 secondo
find the speed of the earth
worm
(I need to know how to lay it out as well)
Answer:
if the units is in m/s
Step-by-step explanation:
first work out using this triangle.
distance= speed x by time
so if we're trying to find out the speed we reaarange the triangle to :
distance
---------------------
speed x time
so speed = distance divided by time
distance = 45cm
divided by time = 90 seconds
But the units are cm and should be metres per second
change 45cm to m
that is 45cm = 45/ 100 = 0.45
0.45/ 90= 0.005cm
answer = 0.005 metres per second( m/s)
plz say thanks + rate !
plsss help me again:((((
#carry on learning
Marc has 45 books on his bookshelf, and Corinna has 61. If Marc buys 4 new books each month and Corinna buys 2 new books each month, after how many months will Marc and Corinna have the same number of books?
Define the variable:_________________________________________
Write the equation: _________________________________________
Solve the equation in the space below. Show your work
A boy is launching a toy rocket he got for his birthday from the top of an 80 ft building. The function representing
the height is f(0) = -16x? +64x + 80 where x represents time in seconds.
How many seconds did it take the rocket to reach it's maximum height?
A
144 sec
B)
2 sec
Eliminate
1.5 sec
D)
128 sec
Answer:
2 seconds, assuming the "?" in the equation is supposed to be ^2 (the exponent of 2): f(h) = -16x^2 +64x + 80
Step-by-step explanation:
You can either graph the functuion or take the first derivative to find the maximum height. The first derivative will give us the slope for a values of x. The slope at the top height of the rocket is zero, since it has stopped and is starting it's way back down.
First Derivative:
f(x) = -16x^2 +64x + 80
f'(x) = -32x + 64
Set this equal to zero and solve for x
0 = -32x + 64
x = 2 seconds.
Use 2 seconds in the original equation to find the height at 2 seconds.
f(2) = -16x^2 +64x + 80
f(2) = -16(2)^2 +64*(2) + 80
f(2) = 144 feet
Graph:
A graph is attached. You can locate the maximum at (2,144)
please answer the all questions
Answer:
e)
a = 58°
alternate angles
b = a = 58°
Triangle is scalene (indicated by the 2 dashes on the triangle)
d = 180 - (58*2)
d = 64°
c = 58°
use either 180- (64+58)
which is angles in a straight line = 180 total
or
alternate angles
b = c = 58
f) x = 50°
alternate angles
y+z = 180-50
y+z = 130
we know that y = z
scalene triangle indicated by arrows (both bases are same angle)
so 130/2 = y and z
65 = y
65 = z
g) x = 55
alternate angles
on the diagram take the triangle which has x and y
you can see 95° outside the triangle, it’s on a straight line and will help us find the third angle for that triangle
180-95 = 85
180 - (85+55) = y
y = 40
z = y = 40
alternate angles
h)
180-78 = 102
beside angle a would be the angle 2a
alternate angles (look at the photo)
180 = 102 + a + 2a
180 = 3a + 102
78 = 3a
a = 26°
2a = 52
b = 26
use either alternate angles
a = b
or total angles in a triangle = 180°
102 + b + 56 = 180
b = 180-52-102
which symbol would best replace the question mark below
Answer:
C?
Step-by-step explanation:
An acute angle of a right-angled triangle is twice the other acute ongle find them
Answer:
30° and 60°Step-by-step explanation:
An acute angle of a right-angled triangle is twice the other acute ongle find them
the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle
(180 - 90) : 3 = 30
30 * 2 = 60
----------------------
check
90 + 30 + 60 = 180°
the answer is good
Josh is painting all the walls in his room that is 3m x 4m and 2.75m high, How much paint in square feet is needed?
Answer:
33
Step-by-step explanation:
3*4*2.75=33
x + 3y = 5
x + 2y = 3
Solve by using elimination
Answer:
(x, y) = (-1, 2)
Step-by-step explanation:
The variable x has the same coefficient in both equations, so we can eliminate x by subtracting one equation from the other. We notice the y-coefficient is greater in the first equation, so we want to subtract the second equation. This will ensure that the remaining y-term has a positive coefficient. (That is not required by the elimination method, but it helps reduce mistakes.)
(x +3y) -(x +2y) = (5) -(3)
y = 2 . . . . . . . simplify
x =3 -2y = 3 -2(2) = -1 . . . . . use the second equation to find x
The solution is (x, y) = (-1, 2).
A group of 12 adults and 26 children go to a theme park.
The total cost of tickets is £1804.80.
An adult's ticket costs £51.60
Find the cost of a ticket for a child.
Answer:
I don't have the Pound Sterling sign on my keyboard but the answer is $45.60
Step-by-step explanation:
Since each adult ticket costs $51.60 and there are 12 adults
The total cost of adult tickets = $51.60*12=$619.20
Then take the total cost of tickets and subtract $619.20 from it
$1804.80-619.20=$1185.60 that's the total cost of children's tickets
Since there are 26 children you have to divide that answer by 26 to get it
$1185.60/26=$45.60
Create a random triangle, ABC Measure and record its angles.
Answer:
a. 3.5
b.5.4
c 2.6
Step-by-step explanation:
/\_
Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?
Step-by-step explanation:
kruitika- 42
Gordorn-31
so krutila was 11 when they gave birth to Gordon
she was 23 when they gave birth to pip
The youngest of them is pip so pip is =19
8x -2 + (4x - 1)(4x+1) = 0
Answer:
8x - 1 + 16x²
Step-by-step explanation:
8x - 2 + (4x - 1)(4x+1) = 0
=> 8x - 2 + 16x² + 4x - 4x - 1
=> 8x - 2 + 16x² - 1
=> 8x - 1 + 16x²
Therefore, 8x - 1 + 16x² is our answer
At this rate how many min. Does it take Ben to run 2 miles, swim 2 miles, and bike 2 miles
82837848+8383830.84-73327.00.73 =?
Answer:
91148351.8327
Step-by-step explanation:
Calculator
A ball is thrown directly upward from height of 2 ft with an initial velocity of 24 ft/sec. The function is s(t)=-16 t^2+24t+2 give the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reflects its maximum height and find the maximum height.
Answer:
time: 0.75 secondsheight: 11 feetStep-by-step explanation:
A graphing calculator shows you the maximum height of 11 feet is reached after 0.75 seconds.
__
A quadratic of the form ax² +bx +c has its vertex at x=-b/(2a). Here that means the time to the maximum height is ...
t = -24/(2(-16)) = 24/32 = 3/4 . . . seconds to maximum height
The height at that time is ...
s(3/4) = (-16(3/4) +24)(3/4) +2 = (-12 +24)(3/4) +2 = 9 +2
s(3/4) = 11 . . . . feet at maximum height
How do I find x in this ?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is ~
[tex]x = 450[/tex]Refer to attachment for solution ~
100 POINTS ANSWER QUICK
A sphere has a diameter of 9 inches.
What is the volume of the sphere rounded to the nearest tenth?
Use 3.14 for pi.
95.4 in³
381.5 in³
763.0 in²
3052.1 in³
Now
Volume=
4/3πr³4/3π(4.5)³121.5π381.5in³Option B