A hummingbird lives in a nest that is 12 meters high in a tree. The hummingbird flies 15
meters to get from its nest to a flower on the ground. How far is the flower from the base of
the tree?
Answers
Answer:
The flower is 9 meters from the base of the tree.
Step-by-step explanation:
Use the Pythagorean theorem to solve. We are given the length of one leg and the length of the hypotenuse of a right triangle.
[tex]a^{2} +b^{2} =c^{2}[/tex]
where a and b are the legs, and c is the hypotenuse.
Plug in the given values and solve:
[tex]x^{2} +12^{2} =15^{2} \\x^{2} +144=255\\x^{2} =81\\x=9[/tex]
The flower is 9 meters from the base of the tree.
Related Questions
Write a recursive formula for An, the nth term of the sequence 80, -20,5, ....
Answers
Answer:
a[1] = 80; a[n] = -a[n-1]/4
Step-by-step explanation:
The given sequence has a first term of 80 and a common ratio of -20/80 = -1/4. That is, each term is -1/4 times the previous one. The recursive formula is ...
[tex]A_1=80\\A_{n}=-\dfrac{1}{4}\times A_{n-1}[/tex]
Analyze the solution set of the following system by following the given steps. 2x + y = 5 3y = 9 − 6x Write each equation in slope-intercept form. y = -2 x + 5 y = -2 x + 3 What do the equations have in common? How are they different?
Answers
Step-by-step explanation:
Given the following systems of linear equations, 2x + y = 5, and 3y = 9 − 6x
Write each equation in slope-intercept form.The slope-intercept form is: y = mx + b, where m = slope, and b = y-intercept.
2x + y = 5Subtract 2x from both sides:
2x - 2x + y = - 2x + 5
y = -2x + 5 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 5.
3y = 9 − 6xDivide both sides by 3 to isolate y:
3y = − 6x + 3
[tex]\frac{3y}{3} = \frac{-6x + 9}{3}[/tex]
y = -2x + 3 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 3.
What do the equations have in common?y = -2x + 5
y = -2x + 3
These equations have the same slope, m = -2.
How are they different?They have different y-intercepts.
y = -2x + 5 ⇒ The y-intercept is (0, 5), where b = 5.
y = -2x + 3 ⇒ The y-intercept is (0, 3), where b = 3.
The equations have the same slope but different y-intercepts, meaning they are parallel lines that run parallel to each other and are spaced vertically apart by a difference of 2 units.
Step 1: Write each equation in slope-intercept form.
Given system of equations:
1. 2x + y = 5
2. 3y = 9 - 6x
Slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
Let's rewrite the equations in slope-intercept form:
1. 2x + y = 5
Subtract 2x from both sides: y = -2x + 5
2. 3y = 9 - 6x
Divide both sides by 3: y = -2x + 3
Step 2: The equations have the same slope (-2) but different y-intercepts 5 and 3.
The common slope (-2) indicates that the lines represented by these equations have the same steepness or inclination.
The difference in y-intercepts means that the lines are parallel and run parallel to each other.
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ3
Which equations shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 34-5=-2N+ 10? Select two options Ox= 5 0 -15 = -5x 0 5x = 15 0 -15 = 5x Ox = -5
Answers
Answer:
-15 = -5x
5x = 15
Step-by-step explanation:
What is 3/4+1 2/3+1/2=
Answers
Answer:
Exact Form:
35/12
Decimal Form:
2.916- (6 goes on)
Mixed Number Form:
2 11/12
pls help me i will mark you brilliant
Answers
2. a) 3 days.
b) 1 hour.
3. a) 20 km
b) 1200 l
(28 ⋅ 5−5 ⋅ 190)−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228. Help.
Answers
Answer 5-5.190 =-945 -2=-947 2-2=0+3 =3+7=-935
Step-by-step explanation:
For questions 3 - 6, find F'(x), the inverse of F(x).
3. F(x) = x-10
4. F (x) = x/6 + 3
5. F(x) = 3x + 7
6. F(x) = 8x
Answers
Answer:
3) f'(x) = x + 10
4) f'(x) = 6x - 18
5) [tex]\displaystyle\mathsf{f'(x)=\frac{1}{3}x-\frac{7}{3}}[/tex] or [tex]\displaystyle\mathsf{f'(x)=\frac{x - 7}{3}}[/tex]
6) f'(x) = ⅛x or [tex]\displaystyle\mathsf{f'(x)=\frac{x}{8}}[/tex]
Step-by-step explanation:
3. f(x) = x - 10Step 1: In order to find the inverse function of f(x) = x - 10, start by replacing f(x) with y.
y = x - 10
Step 2: Switch x and y:
x = y - 10
Step 3: Add 10 to both sides to isolate y:
x + 10 = y - 10 + 10
x + 10 = y
Step 4: Replace y with f'(x):
f'(x) = x + 10 ⇒ This is the inverse function of f(x).
4. [tex]\displaystyle\mathsf{f(x)=\:\frac{x}{6}\:+\:3}[/tex]Replace f(x) with y:
[tex]\displaystyle\mathsf{y=\:\frac{x}{6}\:+\:3}[/tex]Switch x and y:
[tex]\displaystyle\mathsf{x=\:\frac{y}{6}\:+\:3}[/tex]Subtract 3 from both sides:
[tex]\displaystyle\mathsf{x-3=\:\frac{y}{6}\:+\:3-3}[/tex][tex]\displaystyle\mathsf{x-3=\:\frac{y}{6}}[/tex]Multiply both sides by 6 to isolate y:
[tex]\displaystyle\mathsf{6(x-3)=\:\frac{y}{6}(6)}[/tex]6x - 18 = y
Replace y with f'(x):
f'(x) = 6x - 18 ⇒ This is the inverse function of f(x).
5. f(x) = 3x + 7Replace f(x) with y:
y = 3x + 7
Switch x and y:
x = 3y + 7
Subtract 7 from both sides:
x - 7 = 3y + 7 - 7
x - 7 = 3y
Multiply both sides by ⅓:
⅓(x - 7) = 3y (⅓)
[tex]\displaystyle\mathsf{\frac{1}{3}x-\frac{7}{3}=y}[/tex]
Replace y with f'(x):
[tex]\displaystyle\mathsf{f'(x)=\frac{1}{3}x-\frac{7}{3}}[/tex] or [tex]\displaystyle\mathsf{f'(x)=\frac{x - 7}{3}}[/tex] ⇒ This is the inverse function of f(x).
6. f(x) = 8x
Replace f(x) with y:
y = 8x
Switch x and y:
x = 8y
Multiply both sides by ⅛:
⅛(x) = ⅛(8y)
⅛x = y or [tex]\displaystyle\mathsf{\frac{x}{8}=y}[/tex]
Replace y with f'(x):
f'(x) = ⅛x or [tex]\displaystyle\mathsf{f'(x)=\frac{x}{8}}[/tex] ⇒ This is the inverse function of f(x).
Solve the system. Estimate the solution first. Enter whole numbers for the estimated solution and
improper fractions in simplest form for the algebraic solution.
6x + y = 2
1 x - 4y = 2
The estimated solution is (__,__)
Answers
Answer:
using substitution method you'll be able to get the value of x then after finding x
i need help on this math problem
Answers
Answer:
[tex]\sqrt{81}[/tex] = 9
[tex]\sqrt{169}[/tex] = 13
Step-by-step explanation:
Please help me with these questions. I’m genuinely confused.
Answers
Answer:
16. 1 4/5
17. 2 2/3
18. 4/11
19. 4 1/2
20. 4/7
21. 1/2
22. 1 2/5
23. 2 1/2
24. 4 2/3
Step-by-step explanation:
1. subtract whole numbers first
2. subtract fractions next (simplify if you can)
3. subtract fractions and whole numbers
Express 24 minutes as a fraction of 2'/2 hours.
Answers
Step-by-step explanation:
1hr = 60
½ hr = 30
60 + 30 = 90
How many times does 1/14 go into 6/7
Answers
Answer:
uhhhh 12 times i believe
Which point would not be on the graph of the function y=+5?
Answers
Answer:
Any point that does NOT have a positive 5 in the y position
I 13.12.21 Mather asianmen I choose the best answert the next two numbers in the pattern 1, 4, 9, 16 are. (A) 26,36 (B) 25, 36 (C) 24,35 (D) 36,48
Answers
Answer:
(B) 25, 36
Step-by-step explanation:
1 = 1²
4 = 2²
9 = 3²
16 = 4²
25 = 5²
35 = 6²
Write 0.007 as a fraction.
Do not try to simplify your answer.
05
금
Х
5
?
Answers
Answer:
7/1000
Step-by-step explanation:
Solve for the missing variable thank you!
Answers
Find the dimensions of a rectangle (in m) with area 1,000 m2 whose perimeter is as small as possible. (Enter the dimensions as a comma separated list.)
Answers
The perimeter of the rectangle is the sum of its dimensions
The dimensions that minimize the perimeter are [tex]\mathbf{10\sqrt{10 },10\sqrt{10 }}[/tex]
The area is given as:
[tex]\mathbf{A = 1000}[/tex]
Let the dimension be x and y.
So, we have:
[tex]\mathbf{A = xy = 1000}[/tex]
Make x the subject
[tex]\mathbf{x = \frac{1000}{y}}[/tex]
The perimeter is calculated as:
[tex]\mathbf{P = 2(x + y)}[/tex]
Substitute [tex]\mathbf{x = \frac{1000}{y}}[/tex]
[tex]\mathbf{P = 2(\frac{1000}{y} + y)}[/tex]
Expand
[tex]\mathbf{P = \frac{2000}{y} + 2y}[/tex]
Differentiate
[tex]\mathbf{P' = -\frac{2000}{y^2} + 2}[/tex]
Set to 0
[tex]\mathbf{ -\frac{2000}{y^2} + 2 = 0}[/tex]
Rewrite as:
[tex]\mathbf{ -\frac{2000}{y^2} = -2}[/tex]
Divide both sides by -1
[tex]\mathbf{\frac{2000}{y^2} = 2}[/tex]
Multiply y^2
[tex]\mathbf{2000 = 2y^2}[/tex]
Divide by 2
[tex]\mathbf{1000 = y^2}[/tex]
Take square roots of both sides
[tex]\mathbf{y = \sqrt{1000 }}[/tex]
[tex]\mathbf{y = 10\sqrt{10 }}[/tex]
Substitute [tex]\mathbf{y = \sqrt{1000 }}[/tex] in [tex]\mathbf{x = \frac{1000}{y}}[/tex]
[tex]\mathbf{x = \frac{1000}{\sqrt{1000}}}[/tex]
[tex]\mathbf{x = \sqrt{1000}}[/tex]
[tex]\mathbf{x = 10\sqrt{10 }}[/tex]
Hence, the dimensions that minimize the perimeter are [tex]\mathbf{10\sqrt{10 },10\sqrt{10 }}[/tex]
Read more about perimeters at:
https://brainly.com/question/6465134
ok. 4. 62 decreased by 2 7 co 8 anolo 5. 14 increased by 14
Answers
Answer: Arachidonic acid (AA, sometimes ARA) is a polyunsaturated omega-6 fatty acid 20:4(ω-6), or 20:4(5,8,11,14).
Step-by-step explanation: It is structurally related to the saturated arachidic acid found in cupuaçu butter.[3] Its name derives from the New Latin word arachis (peanut), but it is important to note that peanut oil does not contain any arachidonic acid.[4]
Write an equation for the nth term of the arithmetic sequence 7,2,-3,-8,
Answers
Answer:
-5n+12
Step-by-step explanation:
find the difference which is -5
then find the difference from -5 to 7 which is 12
put it in the sequence
-5n+12
Answer:
-5n+12 that would be your equation
C D
Given: r is inversely proportional to s. If r = 16 when s = 3, then write the formula for the relation between r and s.
a. r=s/48
C. r=s/16
b. r= 48/s
d. r= 16/s
Please select the best answer from the choices provided
A
B
ОООО
Submit
Next
Save and Exit
Mark this and retum
Answers
Answer:
You choose but it looks like what you have labeled B
Step-by-step explanation:
R = K / S INVERSE PROPORTION
16 = K / 3 VALUES GIVEN: MULTIPLY BY 3 ON BOTH SIDES
16*3 = k
K = 48
Answer: R = 48/S
Hey whats 2+2? i need to know ASAP! IM IN PRESCHOOL-
Answers
Answer:
lol Its 4
Step-by-step explanation:
Dont worry you got this
Answer:
=4
Step-by-step explanation:
2 + 2 = 4
1 + 1 = 2
1 + 3= 4
Hope this helps, have a nice day/night! :D
if it helps, please mark as brainliest!
what number multiplied by 5 9 has a product of 1
Answers
Can someone help me with this I have a headache and don't have the time or energy to use my brain
Answers
Answer:
Step-by-step explanation:
Then multiply both sides by 5 [-4 x 5 ]
Answer
X = -20
$200 is shared between Bill and Ann. Ann’s share is $50 more than Bill’s share. Calculate the size of each of their shares.
Answers
First subtract the difference between the two:
200 - 50 = 150
Now divide that by 2:
150/2 = 75
Bills share is $75
Now add the $50 to 75 to get Ann's share:
75 + 50 = $125
Ann's share is $125
Bill's share is $75
if u get this right u get branist
Answers
5(2)^2-2(7) = 6
6(7+2)/2 = 27
Therefor the correct answer is the < symbol.
I hope this helps! :)
Jim swam 8 laps on Tuesday, 19 laps on Wednesday, 30 laps on Thursday, and 41 laps on Friday. What kind of sequence is this? both neither arithmetic geometric
Answers
A small pizza at Little Italy pizzeria costs $9.50, and each topping is an additional $0.50. So the cost of ordering a pizza can be determined by the equation y=0.50x+9.50, where y represents the cost of the pizza and x represents the number of toppings.
Step 2 of 2 : Use the graph to estimate to the nearest quarter of a dollar ($0.25) the cost of a small pizza with 8 toppings.
Answers
Answer:
$13.50 for 8 toppings
Step-by-step explanation:
while drinking 8 glasses of water a day is good for your health if each glass of water is equivalent to 148 ml how many liters of water you need to consume everyday
Answers
Answer:
1184ml
Step-by-step explanation:
8x148= 1184
Decide where the first digit of the quotient should be placed without performing division The first digit of the quotient for 2,370 = 24 should be in the Choose... ones tens hundreds thousands
Answers
Answer:
tens place
Step-by-step explanation:
24 can't be into the thousands place or the hundreds place. hope this helps
Answer
hundredths place
Step-by-step explanation:
When performing long division, the first digit of the quotient appears over the least significant digit of the first portion of the dividend that is greater than or equal to the divisor.
Here, when performing long division we compare ...
64 vs 1 . . . no quotient digit
64 vs 15 . . . no quotient digit
64 vs 159 . . . the first quotient digit appears with the same place value as the 9 in 1.59. That is, the first quotient digit will be 0.02, 2 in the hundredths place.
What is the slope of a line passing through the points (2, 5) and (0, −4)?
Answers
Answer:
9/2
Step-by-step explanation:
m=∆y/∆x
m= (5+4)/(2—0)
m=9/2