Answer:
The change in elevation of the seagull is -16 ft
Step-by-step explanation:
Displacement
The displacement, unlike distance, considers the direction of the lengths occurring in the systems.
To solve the problem, we need to set a zero-level reference. Let's assume the sea level as zero height, any position above this reference as positive, and any position below this reference as negative.
The seagull is flying at a height of 10 ft above the ocean. Thus, its position is positive +10 feet.
The seagull then dives into the water to catch a fish at a depth of 6 feet. This position is negative: -6 ft.
The change in elevation is found by subtracting the final elevation and the initial elevation:
change = -6 ft - 10 ft = -16 ft
The change in elevation of the seagull is -16 ft
Find the value of k , if one of the two roots of the equation : x2 + k X – 98 = 0 is double
the additive inverse of the other.
«+
C
Given:
[tex]x^2+kx-98=0[/tex]
One of the two roots of the given equation is double the additive inverse of the other.
To find:
The value of k.
Solution:
Let two roots of the given equation are [tex]\alpha[/tex] and [tex]\beta[/tex].
According to the question,
[tex]\beta=2(-\alpha)[/tex] (Additive inverse of [tex]\alpha[/tex] is [tex]-\alpha[/tex])
[tex]\beta=-2\alpha[/tex]
If [tex]\alpha[/tex] and [tex]\beta[/tex] are roots of the quadratic equation [tex]ax^2+bx+c=0,[/tex] then
[tex]\alpha+\beta=-\dfrac{b}{a}[/tex]
[tex]\alpha\beta=\dfrac{c}{a}[/tex]
We have,
[tex]x^2+kx-98=0[/tex]
Here, a =1, b=k and c=-98.
[tex]\alpha+\beta=-\dfrac{k}{1}[/tex]
[tex]\alpha-2\alpha=-k[/tex] [tex][\because \beta=-2\alpha][/tex]
[tex]-\alpha=-k[/tex]
[tex]\alpha=k[/tex] ...(i)
Now,
[tex]\alpha\beta=\dfrac{c}{a}[/tex]
[tex]\alpha(-2\alpha)=\dfrac{-98}{1}[/tex] [tex][\because \beta=-2\alpha][/tex]
[tex]-2\alpha^2=-98[/tex]
Divide both sides by -2.
[tex]\alpha^2=49[/tex]
Taking square root on both sides.
[tex]\alpha=\pm \sqrt{49}[/tex]
[tex]\alpha=\pm 7[/tex]
Using (i), we get
[tex]k=\pm 7[/tex]
Therefore, the value of k is either -1 or 1.
Find the measure of side a = 5 inches and b = 9 inches. Round to the nearest tenth if necessary
Answer:
Applying Pythagoras' Theorem,
(adjacent side)²= 18² -9²
adjacent side
adjacent side= 15.588 m (5 s.f.)
Area of triangle= ½ ×base ×height
Area of traingle
The nearest answer is B.
Step-by-step explanation:
GOOD LUCK
question down belowww
Answer:
z=6
Step-by-step explanation:
First you add -8 to both sides. Now the equation is [tex]\frac{z}{-2} \\[/tex]=-3. Now you must multiply both sides by -2, so you get z=6
PLS HELP W MATH FINAL
Answer: ask ma th way
Step-by-step explanation: it gives you the right answer
i really need help this timed
its being shifted 2 units up
Answer: F=1
Step-by-step explanation: Here
F(x)=x
Fx/x=x/x
F=1
im on the last question of my test and I need help. what table represents a linear function??
Answer:
d is right guy below me is right because this one has a partern
because everytime it was going -2 for y and +1 for x
Answer:
D is the answer
Step-by-step explanation:
For a table to be linear, you can look at the y and x. The equation for slope if ∆y/∆x. Basically, look at the change in y over the change in x. In the last equation, the rule for y cotinues to be -2. X changes as +1. This is a pattern that continues. If you put the y/x, the slope would be -2.
Also, if you look at the other equations, there is no rule. Therefore, the answer is D.
what’s the answer to :
12x+8x+3+x ?
Answer:
[tex]21x+3[/tex]
Step-by-step explanation:
[tex]12x+8x+3+x[/tex]
Collect like terms
[tex](12x+8x+x)+3[/tex]
Simplify
[tex]21x+3[/tex]
PLEASE MARK ME AS BRAINLIEST
Please help if you help thank you so much
Answer:
All answers apply
Step-by-step explanation:
Although it may seem like it doesnt, the absolute value of -12 is just 12, which ends up still being less than 14.
Absolute value takes away the negative and leaves positive number as a result.
Answer:
all of them since it's absolute value all numbers are below 14
HELP HELP!!! 15 POINTS!!!!
d) Alternate interior angle to angle 3 is angle 6.
e) Alternate exterior angle of angle 7 is angle 2
Answer:
thanks
Step-by-step explanation:
What is the symbol for infinitely many solutions?
4x-3+x=7x-3 solve x and show work easy to undertand please. Really appreciate it ^^
WILL MARK BRAINLIEST TO THE BEST ANSWER. PLEASE SHOW ALL WORK IN FULL SOLUTIONS. THANK YOU. A basketball has a diameter of 7.4 cm, Which expression represents the volume of the basketball?
A) 4pi(3.7)^3
B) 4pi(7.4)^3
C) 4pi(7.4)^3/3
D) 4pi(3.7)^3/3
i need help
this is due today at 4
Answer:
Hi The Answer is A.
Step-by-step explanation:
The Answer is A Because of the funter travel of the X.
x*y=z
Hope This Helps.
:)
My name is John henry.
7y-(9+4y)= -3
y=?
Rest in peace 999
Answer:
y = 2
Step-by-step explanation:
Given
7y - (9 + 4y) = - 3 ← distribute parenthesis by - 1
7y - 9 - 4y = - 3 , that is
3y - 9 = - 3 ( add 9 to both sides )
3y = 6 ( divide both sides by 3 )
y = 2
Answer:
you are not a brainly bot
Step-by-step explanation:
PLEASE HELP AND SHOW WORK
Answer:
x = 3
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side, then
[tex]\frac{1}{2}[/tex] × 2x = 3
x = 3
Find the slope of the line shown on the graph to the right
Answer:
the slope is 2/4 or 1/2 both work
20. A community is having a Taste of the Town event featuring dishes from the area’s best restaurants. The cost of admission is $25 in advance and $35 at the door. There are x people who pay in advance. A total or 530 tickets are sold. Which equation can be used to find the total amount, s, of money from ticket sales?
Answer:
18550 - 10x
Step-by-step explanation:
Given that :
Cost of admission in Advance = $25
Cost of admission at the door = $35
Number of people who paid in advance = x
Total number of tickets sold = 530
Total amount made from ticket sales will be :
(Number who paid in advance * cost) + (number who paid at the door * cost)
(25 * x) + (530 - x) * 35
25x + 18550 - 35x
18550 - 10x
6 The table below shows the federal income tax rate for wages earned for single adults.
Annual Income (Wages) Income Tax Rate
$0 to $9,075
10%
$9,076 to $36,900
15%
$36,901 to $89,350
25%
$89,351 to $186,350
28%
$186,351 to $405,100
33%
$405,101 to $406,750
35%.
Over $406,750
39.6%
Walter accepted a new job with an annual salary of $47,500. How much can he expect to earn
after paying income taxes?
F $35,625
G $38,675
H $25,650
3 $11,875
Can someone please help with work
Answer:
F) 35,625
Step-by-step explanation:
Walter is in the 25% range since $47,500 is in-between 36,901 to 89,359
25% = 0.25
47,500 * 0.25 = 11,875
47,500 - 11,875 = $35,625
Write y=-1/2x^2+16x-96 in factor form
Answer: -1/2(x-24)(x-8)
Step-by-step explanation:
-5x + 4y = 3
x = 2y - 15
solve for x and y
I'm failing please send help
Answer:
Let's solve for x.
−5x + 4y = 3
Step 1: Add -4y to both sides.
−5x + 4y+ −4y =3+ −4y
−5x = −4y +3
Step 2: Divide both sides by -5.
-5x divided by 5 = -4y+3 divided by -5
x=4/5y + −3/5
Step-by-step explanation:
Help please Which number sentence below matches this word problem?
Elliot Construction has two cranes. The large crane can lift up to 7 tons. The
small one can lift up to 6 tons. How much more weight can the large crane
lift than the small crane?
A. 7-6 = 1
B. 7 x 6 = 42
C. 7-1 = 6
D. 6 + 7 = 13
SUBMIT
Answer:
I think it's d
Step-by-step explanation:
Nit 100% sure but if nit its b
The number sentence that matches the given word problem is:
A. 7-6 = 1
The word problem asks how much more weight the large crane can lift than the small crane. To find the difference, we subtract the weight capacity of the small crane (6 tons) from the weight capacity of the large crane (7 tons).
Therefore, 7 - 6 = 1, which means the large crane can lift 1 ton more than the small crane.
1+1??????????????????????????????????????????
Answer: 2
Step-by-step explanation: 1+1=2
Answer:
1+1=2 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Please please help!!! Solve for the value of x and y
A. 7.6
B.9
C.7.1
D.8 units
HELPP PLEASEE
Answer:it will be c
Step-by-step explanation:
9514 1404 393
Answer:
C. 7.1
Step-by-step explanation:
The distance is found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((1-(-6))² +(1-2)²) = √(7² +(-1)²) = √50
d ≈ 7.07107 ≈ 7.1 . . . . . matches choice C
Priya works in a pet hospital. She earned $86.00 for working 10 hours
last week. At this rate, how much would she earn for working 16 hours? *
A) $137.60
B) $134.60
C) $127.60
D) $124.60
Select all that apply! Pleaseee I need help!!!!
The graph of an equation has a minimum y value of 12. This minimum occurs at an x value of 3. What is true of the graph of the equation?
Answer:
Looking at this graph, you can see that the minimum point of the graph is at y = -3. The second way to find the minimum value comes when you have the equation y = ax^2 + bx + c. If your equation is in the form y = ax^2 + bx + c, you can find the minimum by using the equation min = c - b^2/4a.
Step-by-step explanation:
Solve the absolute value inequality: |8x + 5| > 15. Express using interval notation
Answer:
8 < 2
Step-by-step explanation:
8x + 5 > 15
8x > 15 - 5
8x > 10
x < 2
cmiiw
Can somebody please help me?
Answer:
576 cm2
Step-by-step explanation: