Answer:
Step-by-step explanation:
The first part of A is easy. Look at the quadratic function, and the constant, the very last number with no t stuck to it represents the height from which the object in question was originally launched. Our constant is 40, so the height of the roof from which the baseball was thrown is 40 feet. Part 2 of A is not quite as simple because it requires factoring using the quadratic formula.Before we do that, let's make our numbers a bit more manageable, shall we? Let's factor out a -8 to get
[tex]f(t) = -(t^2-6t-5)[/tex] and a = 1, b = -6, c = -5.
Filling in the quadratic formula now looks like this:
[tex]t=\frac{6+-\sqrt{6^2-4(1)(-5)} }{2(1)}[/tex] and
[tex]t=\frac{6+-\sqrt{36+40} }{2}[/tex] and
[tex]t=\frac{6+-\sqrt{56} }{2}[/tex] so the 2 solutions are
[tex]t=\frac{6+\sqrt{56} }{2}=6.74sec[/tex] and
[tex]t=\frac{6-\sqrt{56} }{2}=-.742sec[/tex] and since we know time can NEVER be negative, the time it takes for the baseball to hit the ground from a height of 40 feet is 6.74 seconds. Onto part B.
In order to determine exactly how high the baseball did go, we have to find the vertex of the function. We do this by completing the square and getting the function into vertex, or work, form. Begin by setting the quadratic equal to 0, moving over the constant, and then factoring out the leading coefficient. The rule for completing the square are kinda picky in that you have to have a 1 as the leading coefficient, and righ now ours is a -8. So following the rules I stated above:
[tex]-8(t^2-6t)=-40[/tex] Next is the take half the linear term, square it, and then add it to both sides. Our linear term is a -6. Half of -6 is -3, and -3 squared is 9, so we add 9 into the parenthesis first:
[tex]-8(t^2-6t+9)=-40+??[/tex]
Because this is an equation, we can't add 9 to one side without adding the equivalent to the other side. But, we cannot forget about that -8 sitting out front there, refusing to be ignored. We didn't just add in a 9, we actually added in a -8 times 9 which is -72. That's what goes on the right side in place of the ??.
[tex]-8(t^2-6t+9)=-40-72[/tex]
The reason we complete the square is found on the left side of the equals sign. We have, in the process of completing the square, formed a perfect square binomial that will serve as the h in our vertex (h, k) where h is the number of seconds it takes for the baseball to reach its max height of k, whatever k is. That's what we have to find out. Putting the left side into its simplified perfect square binomial and adding the numbers on the right gives us:
[tex]-8(t-3)^2=-112[/tex]
For the last step, add over the -112 and set it back equal to f(t):
[tex]-8(t-3)^2+112=f(t)[/tex] From that we determine that the vertex is (3, 112). The max height of this baseball was 112 feet...so no, it did not make it up to the height of 120 feet that Jimmy wanted for the baseball.
PLEASE HELP! THIS IS DUE TONIGHT! THANK YOU!!
EXPLANATION = BRAINLIEST
Answer:
Step-by-step explanation:
18/6=51/p
do cross multiplication
6*51=p*18
306/18=p
17=p
therefore perimeter is 17 cm
Help Please and NO LINKS!!! use trig to find the angles
mark as brainllest if its right
Answer:
x = 46.7°
Step-by-step explanation:
We are given:
1.) Angle x
2.) Side opposite to angle x
3.) Hypotenuse
We have to find angle x, therefore Sin ratio would be used;
Sin(x) = Opposite / hypotenuse
Sin(x) = 4 / 5.5
x = Sin⁻¹(4/5.5)
x = 46.7°
Hope this helps!
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
b
Step-by-step explanation:
a line segment is a line that has a endpoint on both sides
The function f(x) = −x2 + 18x − 72 models the daily profit, in dollars, a gym makes for selling memberships, where x is the number of memberships sold, and f(x) is the amount of profit.
Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)
Part B: Determine the x-intercepts. What do these values mean in the context of the problem?
Answer:
The solutions are x=6,x=12
Step-by-step explanation:
solution is in the file attached below
Mrs. Kaplan"s son, Carter, can crawl 125 feet in 1.5 minutes. He can walk 384 feet in 4 minutes. Is he faster on all fours or on his feet?
Answer:
Crawling
Step-by-step explanation:
Find the unknown angle and explain how plzzz
In a straight line, like the one presented before you, there is 180 degrees. So that means 115 degrees + x is gonna equal 180.
So that means, x is gonna be 180 - 115. So x is 65 degrees
-8z^8+(-14z^8)
Helppp
Answer:
[tex] - 22 {z}^{8} [/tex]
Simplify. Remove all perfect squares from inside the square root.
Answer:
2x²√13
Step-by-step explanation:
√52x⁴ = √4×13×x⁴ = 2x²√13
Find the slope of the line whose equation is y = 2x – 1
General equation for slope-intercept form
y = mx+c
comparing the given eqn with this ,
m= slope = 2
33 degrees, 87 degrees, x=?
Answer:
60°
Step-by-step explanation:
180 - 33 - 187 = 60
Answer:
[tex]x=60\\y=120[/tex]
Step-by-step explanation:
A triangle is always 180 degrees...
Form an equation to solve:
[tex]x+33+87=180[/tex]
[tex]x+120=180[/tex]
[tex]x=180-120[/tex]
[tex]x=60[/tex]
To find y:
(Angles on straight line = 180)
[tex]y=180-x[/tex]
(replace x with 60)
[tex]y=180-60[/tex]
[tex]y=120[/tex]
hope this help :)
Find the height of a cuboid if it's length is 15cm, it's breath is 12cm and it's total surface are is 900cm
Answer: [tex]h=8.33\ cm[/tex]
Step-by-step explanation:
Given
The length of a cuboid is [tex]l=15\ cm[/tex]
breadth is [tex]b=12\ cm[/tex]
Total surface area is [tex]S.A.=900\ cm^2[/tex]
Surface area is given by [tex]2(lb+hl+bh)[/tex]
Insert the values
[tex]\Rightarrow 900=2(15\times 12+15h+12h)\\\Rightarrow 450=225+27h\\\Rightarrow 225=27h\\\Rightarrow h=8.33\ cm[/tex]
There were 400 students in attendance. 51% are boys. How many are boys (show your work)
Answer:
204 out of 400 students are boys; 204
Step-by-step explanation:
x/400 = 51/100
100x = 51 x 400
100x = 20400
100x/100 = 20400/100
x = 204
DEKU
Answer:
201-boys 199-girls
i dont think if my answer are right..
Step-by-step explanation:
IT KEEPS SHOWING SOME LANGUAGE FOR THE DIVISION SYMBOLS
What is the quotient?
4
2
5
다.
0 1
-2
UN
12
35
O
Answer:
-2/5
Step-by-step explanation:
Given the expression
-4/5 ÷ 2
= -4/5 * 1/2
= (-4*1)/(5*2)
= -4/10
= -2/2 * 2/5
-2/5
Hence the required values is -2/5
what is 3a+4a+5a =
its algebra guys come on now
Name the figure. Write the area formula. Fill in the area formula. PLEASE HELP ME ON THIS AND MY OTHER QUESTION!!!!
Answer:
name=circle area= 2 x pi x 6square
Step-by-step explanation:
Answer:
Step-by-step explanation:
Name of a figure=circle
radius=diameter/2
=12/2
=6
area=πr^2
=3.14*(6)^2
=3.14*36
=113.04 in^2
How many real solutions are there for the equation
3
2
0
1
Answer:
2
Step-by-step explanation:
[tex]12x {}^{2} + 4x - 3x - 1 = 0 [/tex]
[tex]4x \times (3x + 1) - (3x + 1) = 0[/tex]
[tex](3x + 1) \times (4x - 1) = 0[/tex]
[tex]3x + 1 = 0 \\ 4x - 1 = 0[/tex]
[tex]x = - \frac{1}{3} \\ x = \frac{1}{4} [/tex]
I hope this helps :)
HELP!!!!! NO LINKS OR FAKE ANSWER OR I WILL REPORT YOU Thanks! The image is above¡
Answer:
Top left Equation: [tex]\frac{2}{3} + (- 2 \frac{1}{3} ) = - 1 \frac{2}{3}[/tex]
Step-by-step explanation:
You start at 2/3, or the left side.
Since the line is directing left, you are subtracting, or adding a negative.
If you see, you are moving 7 - 1/3s to the left
7 x 1/3 = 7 / 3
7 / 3 = 2 1/3
And 2/3 + (-2 1/3) = -1 2/3
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
You are remodeling your kitchen. You've contacted two tiling companies who
gladly told you how long it took their workers to tile a floor of a similar size.
Jim completed half the floor in 9 hours. Pete completed the other half of the
floor in 5 hours. If Pete can lay 35 more tiles per hour than Jim, what equation
would you use to find the rate that Jim can lay tiles? Let x represent Jim's
rate.
A. 5x - 9(x-36)
B. 5x - 91% +35)
C. 9x - 5(x-36)
D. 9x - 5(x +35)
Answer:
The correct answer would be D
9x=5(x=35)
Step-by-step explanation:
If this doesn't help I can fix it. I'm sorry in advance if it is incorrect.
Can someone please help with this asap its worth a lot of points. (: !!!
Answer:
8...the value of d variable =45 degree
corresponding angles are equal(reason)
9.
Answer:
if one angle is 35 degree... the other angle which one is opposite must be 35 degree
Step-by-step explanation:
now we can collect two angle and try to complete 180 degree. 45+35+ other angle equal to 180 degree and the other angle is 100 degree and we have Z rules so x=100 C°
Select the correct answer.
7.
Which image shows –15 on a number line?
ОА.
4
十一
-2
-1
0
1
2
OB.
-2
-1
0
1
2
Ос.
-2
-1
0
1
N
Answer:
I think...I repeat I am not sure. The answer is C.
JGR-MST. Which statement is not always true? someone pls helpp
Answer:
It is D, I think it’s because the letters need to be around in the same order
The angle corresponding to each other of different triangle are equal.
What are similar triangle ?"Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion".
Here given,
[tex]\triangle JGR[/tex] is similar to triangle [tex]\triangle MST[/tex]
So, from the definition of similar triangle ,
angle J ≅ angle M
angle G ≅ angle S
angle R ≅ angle T
Hence, option D is correct.
To know more similar triangle here
https://brainly.com/question/25882965
#SPJ2
Box-and-whisker plot!!! A, B, C, or, D? NO LINKS PLEASE!!!
Solve for x. 4x-4< 8
AND 9x +5 > 23
is it a, b,c or d ?
Answer:
[tex] A)\displaystyle2 < x < 3[/tex]
Step-by-step explanation:
A compound inequality is an inequality that combines two simple inequalities
we are given that
[tex] \displaystyle 4x - 4 < 8 \ \: \text{and} \: \: 9x + 5 > 23[/tex]
solving x for the first equation:
[tex] \displaystyle 4x - 4 < 8[/tex]
add 4 to both sides:
[tex] \displaystyle 4x < 12[/tex]
divide both sides by 4 and since we are dividing both sides by a positive number the inequality won't swap
[tex] \displaystyle x < 3[/tex]
solving x for the second equation:
[tex] \displaystyle 9x + 5 > 23[/tex]
cancel 5 from both sides:
[tex] \displaystyle 9x > 18[/tex]
divide both sides by 9 and since we are dividing both sides by a positive number:
[tex] \displaystyle x > 2[/tex]
therefore by combining the equations we obtain:
[tex] \displaystyle\boxed{2 < x < 3}[/tex]
hence,
our answer is A)
Find the value of x.
Show work. please help
Answer:
x=7
Step-by-step explanation:
Since this is an isosceles triangle the two angles are equal.
3x+6 = 5x-8
Subtract 3x from each side
3x+6-3x = 5x-8-3x
6 = 2x-8
Add 8 to each side
6+8 = 2x-8+8
14 = 2x
Divide each side by 2
14/2 = 2x/2
7 = x
Answer:
x = 7
Step-by-step explanation:
Its two angle is equal so, it is isosceles triangle.
3 x + 6 = 5 x - 8 .. ( in isosceles triangle two side are equal).
3 x + 6 = 5 x - 8
Subtract 3 x from both side
3 x - 3 x + 6 = 5 x - 3 x - 8
6 = 2 x - 8
add 8 to each side
6 + 8 = 2 x - 8 + 8
14 = 2 x
Divide each side by 2
14 / 2 = 2 x / 2
7 = x
Use the drop-down menus to complete each question so the statement about its solution is true.
Step-by-step explanation:
• no solution:
3x+9+4x+x = 8x + 9
• one solution:
3x+9+4x+x = 7x + 11
• infinitely many solutions:
3x+9+4x+x = 8x + 11
The expression -310 + 15m represents a submarine that began at a depth of 310 feet below sea level and ascended at a rate of 15 feet per minute. What was the depth of the submarine after 8 minutes?
Answer:
190 feet below sea level
Step-by-step explanation:
d = -310 + 15m
d = -310 + 15(8)
d = -310 + 120
d = -190
how many questions out of 42 do I need to get right to score 75?
Answer:
31 questions, but it's impossible to score 75%.
Step-by-step explanation:
It's impossible to get exactly a score of 75% out of 42 questions. However, you can get the next closest percentage, which is rounded up to 74% with 31 questions right out of 75.
This is because 31 / 42 = 0.738... You can round 0.738 to 0.74. Then multiply 0.74 by 100, which gives you 74. This means the closest score you can get to 75 is 74% with 31 questions.
You can also score 76% with 32 questions right out of 42 questions. This is because 32 / 42 = 0.761... You can round 0.761 to 0.76. Then multiply 0.76 by 100, which gives you 76.
Math help please thanks due soon
Problem 11
Answer: Angle C and angle F
Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.
============================================
Problem 12
Answer: 100 degrees
Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.
============================================
Problem 13
Answer: 80 degrees
Explanation: This was mentioned earlier in problem 11.
============================================
Problem 14
Answers: complement = 50, supplement = 140
Explanation: Complementary angles always add to 90. Supplementary angles always add to 180. An example of supplementary angles are angles E and F forming a straight line angle.
Which number from the replacement set {3, 6, 12} makes the equation 2x + 3 = 9 true?
Answer:
3
Step-by-step explanation:
here is explain.
2*3+3 = 9
number 3 from the replacement set makes the equation
I REALLY NEED HELP!!!
Answer:
Complementary angles
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees.
Answer:
complementary
Step-by-step explanation:
The angles are part of a right angle as shown by the square.
Complementary angles are angles that add up to 90˚
since x-15 and 2x are parts of the right angle, they add up to 90