Answer:
7.89 seconds
Step-by-step explanation:
using the quadratic formula (-b+-√(b^2-4ac))/2a
a=-16 b=119 c=57
x=-0.451
and
x=7.889
time cant be negative so use the positive x
Time required for the rocket to hit the ground would be 7.9 s.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given the quadratic equation as;
-16x² + 119x + 57 = 0
By using the quadratic formula,
x = [-b ± √b² - 4ac]/2a
Here, a = -16, b = 119 and c = 57
b² - 4ac = (119 )² - 4(-16)(57)
= 14161 + 3648
= 17809
So, x = [-(119) ± √17809]/ 16(2)
= (-119 ± 133.4)/32
Therefore, the time is 7.9 s.
Learn more about quadratic equations;
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Write the equation of the line with x-intercept 3 and passing through the point (5.4)
Answer: y=(1/5)m+3
Step-by-step explanation:
Start with the standard form of an equation of a straight line: y=mx+b, whre m is the slope and b the y-intercept (the value of y when x=0).
y=mx+b
We know b (3), so:
y=mx + 3
To find the slope, m, we can use the one given point, (5,4):
y=mx + 3 for (5,4) would be:
4 = m*5+3
1 = 5m
m = (1/5)
y=(1/5)m+3
How can you use factoring to solve quadratic equations in standard form?
Step-by-step explanation:
The roots or the zeroes of a quadratic equation are its x-intercepts, which are the points on the graph where it crosses the x-axis. When a quadratic equation is in standard form, ax² + bx + c, the usual goal is to find the binomial factors that could help us determine the roots or solutions to the given equation. Once you find the factors, then you will use the Zero-Product Property to solve for the solutions.
For example, if you were given the following quadratic equation in standard form, x² + 6x + 8 = 0, and were tasked to find its factors.
x² + 6x + 8 = 0
where a = 1, b = 6, and c = 8:
In order to find the factors of the given quadratic equation, we must find the factors with a product ac, and sum b.
Using 2 and 4 as possible factors produce a product that is equal to
product of ac: 2 × 4 = 8
sum of b: 2 + 4 = 6.
Therefore, the factors of the given quadratic equation, x² + 6x + 8 = 0 are:
(x + 2) (x + 4).
Using the Zero-Product Property, where it states that for any real numbers, u and v, if uv = 0, then u = 0 or v = 0.
Thus, setting the binomial factors of the given quadratic equation to zero will provide the solutions.
(x + 2) (x + 4)
x + 2 = 0
x + 2 - 2 = 0 - 2
x = -2
x + 4 = 0
x + 4 - 4 = 0 - 4
x = -4
Therefore, the solutions to the quadratic equation, x² + 6x + 8 = 0 are x = -2, and x = -4.
What’s x?
Answer:
I pretty sure it is F.1cm
HELP!!
Lenor and Juan go to school together after leaving school Lenor drove 12 miles to get to his house and Juan drove 35 mile
get to his house. Based on the picture below what is the shortest distance from Lenor's house to Juan's house. (show your
for full credit)
a= distance Lenor drove
Lenor
b distance Juan drove
c=distance between
Lenor and Juan
Juan
please help for my math i rlly need it ill give big points and brainliest
Answer:
a) x2 = 10
b) x2 − 40 = 0
c) 3x2 − 600 = 0
d) x2 + 12 = 0
Answer:
[tex]\frac{6(2a-4c)-6(6a-4b)+3(4b-8c)}{4} \\[/tex]
[tex]\frac{12a-24c-36a+24b+12b-24c}{4}[/tex]
[tex]\frac{12a-36a+24b+12b-24c-24c}{4}[/tex]
[tex]\frac{-24a+36b-48c}{4}[/tex]
[tex]-6a+9b-12c[/tex]
[tex]-3(2a-3b+4c)[/tex]
So,
[tex]-3(2a-3b+4c)=X(2a+Yb+Zc)[/tex]
X = (-3)
Y = (-3)
Z = 4
Hope this helps you.
Let me know if you have any other questions :-)
If the circumference of full circle is equal to 2 cm, find the length of the arc of the composing semicircle
Answer:
it is 1 cm because semi means half
ABCD is a parallelogram and X and Y are any point on CD and AD respectively. Prove that triangle AXB and triangle BYC are equal in area. Prove that
Answer:
See answer below
Step-by-step explanation:
ABCD is a parallelogram Given
BC ≅ AD; AB ≅ DC opposite sides of a parallelogram ≅
Δ AXB = 1/2 (AB)(AD) Formula for the area of a Δ
Δ BYC = 1/2 (BC) (DC) Formula for the area of a Δ
1/2 (AB)(AD)= 1/2(BC)(DC) Substitution
∴ Area of Δ AXB = Area of ΔBYC
factorize ax^2 + bx by using identities
Answer:
ax^2+bx=x(ax+b)
Please mark as brainliest
Step-by-step explanation:
a 4-pack of frozen waffles costs 2.67 what is the unit price rounded to nearest cent?
Answer:
2.67 is the answer
Step-by-step explanation:
tell me if i am rong
Identify the vertex of the parabola represented by the equation y=−2x2+8x−1.
(−4, −65)
(4, −1)
(2, 7)
(−2, −25)
Answer:
it is correct but -65 is not correct
FInd the value of T - triangle measerments
JK=JH
[tex]\\ \sf\longmapsto 10t=7t+15[/tex]
[tex]\\ \sf\longmapsto 10t-7t=15[/tex]
[tex]\\ \sf\longmapsto 3t=15[/tex]
[tex]\\ \sf\longmapsto t=15/3=5[/tex]
The dimensions of a rectangular prism are 3 cm, 15 cm, and k cm. Its volume is
90 cm. Find the value of k.
Answer:
k = 2 cm
Step-by-step explanation:
3 x 15 x k = 90 cm^3
45 x k = 90 cm^3
k = 90/45 = 2 cm
Will give brainliest, need assistance ASAP!
Second derivative of -2x^2+2/(x^2+1)^2
Answer:
\frac{-2x^2+2}{x^4+2x^2+1}
2x^2+2
-------------
x^4+2x^2+1
1/5 cup of flour is used to make 4 cookies. How many cups of flour are needed to make 7 dozen cookies. (Need answer asap please)
please help solve for RN
Answer:
I guess...
Step-by-step explanation:
Since QR and PN are parallels, I think what happens in MN and MP is proportional, so:
RN = x
8 is to 10 as
5 is to x
8 * x = 5 * 10
8x = 50
x = 50 / 8
x = 6.25
RN = 6.25
Question 7 50 points
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
Answer:
1f 2×4 -3׳ 12k is divided by × - 3 the remainder is 21 find the value of k
the ball started at the 5 yard line. what is the position of the ball after these two plays
Answer:
you have to show a diagram or I can't help you
Which equation represents a line which is parallel to the line y = -5/8x + 6?
A) 8x + 5y = 10
B) 8x - 5y = 15
C) 8y - 5x = -24
D) 5x + 8y = 32
Step-by-step explanation:
y = -5x/8 + 6
8y = 8 × (-5x/8 + 6)
8y = -5x + 42
5x + 8y = 42
5x + 8y = K, k element real
Option → D
The equation for parallel line is 5x + 8y = 32.
The correct option is (D).
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Equation: y = -5/8x + 6
Now, the parallel line to above equation must have the slope same as the given equation i.e., -5/8.
Then, writing the equation in slope intercept form
A) 8x + 5y = 10
5y= 10 - 8x
y= 10/5 - 8x/5
y= -8/5x + 2
B) 8x - 5y = 15
-5y= 15 - 8x
y= 8/5 x + 3
C) 8y - 5x = -24
8y= -24 + 5x
y= -24/8 +5/8x
y= +5/8x - 3
D) 5x + 8y = 32
8y= 32 -5x
y= -5/8x + 4
Hence, the equation for parallel line is 5x + 8y = 32.
Learn more about Slope here:
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(20pts) I need to know who is incorect and why
Answer:
i thig it is hj
Step-by-step explanation:
jk
Plz help fast.
I will mark Brainlyist
Write the inequality.
The sum of negative 3 and a number is no more than two
Answer: -3+x<2
Step-by-step explanation: can't be greater than 2.
what’s the answer this is due tomorrow help asap
Answer : Quadrilateral
Find the domain and range of the following function f(x) = 51x - 21 + 4
Domain. [4,8) Range: (-00,00)
Domain. (4,00) Range: (-00,00)
Domain (-00,00) Range [4,00)
Domain. (-00,00) Range: (4,00)
Answer:
my gosh, hirap kaya niyan, pareho lang ta u d alam sagot
There are 5 boxes and each box weighs x pounds. Write the expression for the total weight of the
boxes.
Answer:
5x pounds
Step-by-step explanation:
Here's the solution if you need, hope it's help
A box of cereal states that there are 84 calories in a 3/4
-cup serving. What is the unit rate for calories per cup?
Answer:
It is 112 calories per cup of cereal.
Step-by-step explanation:
multiply 3/4 by 4 and youll get 3 and them multiple 84 by 4 and you'll get 336. Divide 336 by 3 and youll get your answer.
HELP WILL GIVE THE MOST POINTS IT LETS ME NEED ANSWER SOON
Answer:
c. -5x - 2 = -42
Step-by-step explanation:
Have a nice day! :-)
Answer:
-5x-2 = -42
Step-by-step explanation:
less than means you do this after what comes next
Product of a number and -5
-5x
Two less than
-5x -2
is means equals
-5x-2 = -42
solve pls brainliest
Answer:
y=15x
Step-by-step explanation:
Plug in the numbers given and the equation works.
answer please help me out
Answer:
Hey just search up an algebraic calculator I finished my homework with it lol
Step-by-step explanation:
On an airplane the passengers may have chicken vegetable or tomato soup
Half of the passengers choose the Chicken soup
A third of the passengers choose tomato soup
What fraction of the passengers chose soup?
There are 240 passengers on the airplane
How many passengers chose vegetable soup?
