Answer:
Step-by-step explanation:
(x²-6x)+(y²+8y)=-21
(x²-6x+9)+(y²+8y+16)=-21+9+16
(x-3)²+(y+4)²=4
center=(3,-4),radius=√4=2
(Show full work please) Carter spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 7250 feet.
Carter initially measures an angle of elevation of 16 to the plane at point A. At some
later time, he measures an angle of elevation of 26° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary
Consult the attached diagram.
In the larger triangle,
tan(16°) = (7250 ft) / (x + y)
and in the smaller triangle,
tan(26°) = (7250 ft) / y
You want to solve for x.
From the first equation (I'm ignoring units from here on, all distances are measured in ft), you have
(x + y) tan(16°) = 7250
x tan(16°) + y tan(16°) = 7250
x tan(16°) = 7250 - y tan(16°)
x = 7250 cot(16°) - y
From the second equation,
y = 7250 cot(26°)
Solving for x gives
x = 7250 cot(16°) - 7250 cot(26°)
x = 7250 (cot(16°) - cot(26°))
x ≈ 10,433 ft
The distance the plane traveled from point A to point B is 10,433 ft.
We have given that,
Carter spots an airplane on the radar that is currently approaching in a straight line, and that will fly directly overhead.
The plane maintains a constant altitude of 7250 feet.
In the larger triangle,tan(16°) = (7250 ft) / (x + y)and in the smaller triangle,
What is the tan ratio?[tex]tan(\ theta)=\frac{\\opposite \side }{hypotenouse}[/tex]tan(26°) = (7250 ft) / y
we have to solve for x.
From the first equation (I'm ignoring units from here on, all distances are measured in ft),
you have
(x + y) tan(16°) = 7250
x tan(16°) + y tan(16°) = 7250
x tan(16°) = 7250 - y tan(16°)
x = 7250 cot(16°) - y
From the second equation,
y = 7250 cot(26°)
Solving for x gives
x = 7250 cot(16°) - 7250 cot(26°)
x = 7250 (cot(16°) - cot(26°))x ≈ 10,433 ft
Therefore the distance the plane traveled from point A to point B is 10,433 ft.
To learn more about altitude visit:
https://brainly.com/question/22736499
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Given f(x) = x2 + 24 - 12, find f(3)
Answer:
f(3) = 12
Step-by-step explanation:
f(3) = (3 x 2) + 24 - 12
= 6 + 24 - 12
f(3) = 12
If this helps you, please give brainliest!
Answer:
Step-by-step explanation:
f(x) = [tex]x^{2}[/tex] + 24 - 12
substitute 3 inplace of x
f(3) = [tex]3^{2}[/tex] + 24 - 12
=9 + 24 - 12
21
If the question is f(x) = x2 + 24 - 12 {x*2 + 24 - 12}
now substitute 3 in place of x
f(3) = 3*2 + 24 - 12
=6 + 24 - 12
18
What’s the domain of the function?
Answer:
domain of function refers to the various values that can be passed through to the function.
Step-by-step explanation:
I don’t understand how to do this.
Answer:
46degrees
Step-by-step explanation:
From the question, we are told that both triangles are similar, hence;
<E = <S
<D = <R
<F = <T
From triangle DEF
<D + <F + <E = 180
Since <D = <F = 67
67 + 67 + <E = 180
134 + <E = 180
<E = 180 - 134
<E = 46degrees
Since <E = <S, hence the measure of <S is 46degrees
Let V be the set of all 3x3 matrices with Real number entries, with the usual definitions of scalar multiplication and vector addition. Consider whether V is a vector space over C. Mark all true statements (there may be more than one).
a. The scalar closure axiom is satisfied
b. The additive inverse axiom is not satisfied
c The additive inverse axiom is satisfied
d. The additive closure axiom is not satisfied
e. The scalar closure axiom is not satisfied
f. The additive closure axiom is satsified
g. V is not a vector space over C
h. V is a vector space over C
i. The zero axiom is satisfied
j. The zero axiom is not satisfied
Answer:
the Scalar Closure axiom is not satisfiedV is not a Vector Space of CThe Additive Closure axiom is satisfied.Step-by-step explanation:
According to the Question,
Given That, Let V be the set of all 3x3 matrices with Real number entries, with the usual definitions of scalar multiplication and vector addition. Consider whether V is a vector space over C.For V is a vector space over C and V is Set of 3x3 Matrices with Real entries.Then, For any u,w ∈ V ⇒ u+w ∈ V
And u∈V and z∈C ⇒ z u ∈ V
So, If we take any z= i ∈ C
and V be any 3x3 matrices with Real entrices.then, z,v ∉ V ∴z,v Has Complex entries
So, the Scalar Closure axiom is not satisfied
Hence, V is not a Vector Space of C
Any u,w ∈ W ⇒ u+w ∈ V
So, The Additive Closure axiom is satisfied.
Help me pleassseeeee
Answer:
8x+(-20x)
Step-by-step explanation:
Why should people conserve energy? (Please don’t get the answer form the internet)
Một hộp đựng 10 phong bì bốc thư trúng thưởng trong đó 3 phong bì đựng 500 nghìn 7 phong bì đựng 100 nghìn. Bốc ngẫu nhiên liên tiếp hai phong bì. Nếu biết phong bì thứ hai có 500 nghìn, tìm xác xuất để phong bì đầu tiên cũng có 500 nghìn?
I can't understand tell me in english
What is the value of h(2)?
-2
-1
0
3
Can someone help I forgot what formal to use?
Answer:
1) V = 336mm
2) V = 64.33ft
Step-by-step explanation:
1) V = lwh + lwh
V = 4(6)(5) + 9(6)(4)
V = 120 + 216
V = 336mm
2) V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h +
Cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h
Cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex](1.5)^{2}[/tex](3) +
V = [tex]\pi[/tex][tex](1.5)^{2}[/tex] +
V = 7.07 + 57.26
V = 64.33ft
Help me pls this is hard
Answer:
I guess it is the Answer C
Answer:
C
The distance around the edge of the circle
1.What are the coordinates of the vertices of ABC? Use the coordinates to find the lengths of AC and AB .
2.Use the distance formula to find BC. Show your work.
Answer/Step-by-step explanation:
1.
✔️Coordinates of vertices ABC:
A(2, 2)
B(6, 2)
C(2, -1)
✔️AC = |2 - (-1)| = 3 units
AB = |2 - 6| = 4 units
2. Distance formula => [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Distance between B(6, 2) and C(2, -1):
[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
[tex] B(6, 2) = (x_1, y_1) [/tex]
[tex] C(2, -1) = (x_2, y_2) [/tex]
[tex] BC = \sqrt{(2 - 6)^2 + (-1 - 2)^2} [/tex]
[tex] BC = \sqrt{(-4)^2 + (-3)^2} [/tex]
[tex] BC = \sqrt{16 + 9} = \sqrt{25} [/tex]
[tex] BC = 5 units [/tex]
Answer:
The person above me has the correct answer and solves it in the correct way.
Step-by-step explanation:
This is what I used as my answer though.
Distance Formula: d = √(x2-x1)^2 + (y2-y1)^2
BC = √(x2-x1)^2 + (y2-y1)^2
B = (6,2)
C = (2,-1)
BC = √(2-6)^2 + (-1-2)^2
BC = √(-4)^2 + (-3)^2
BC = √16+9
BC = √25
BC = 5
can we say ((-16)÷4) ÷ (-2) is the same as (-16)÷ (4÷(-2)?
Answer:
no we can't
Step-by-step explanation:
(-4)÷(-2). (-16÷(-2)
2. 8
[tex]\longrightarrow{\blue{[( - 16)\div 4) \div ( - 2)] \:is\:not\:equal\:to\:( - 16) \div [4 \div( - 2) ] }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex][( - 16 )\div 4) \div ( - 2)] = ( - 16) \div [4 \div( - 2) ][/tex]
Let us first solve for L. H. S.
[tex] = [( - 16 )\div 4) \div ( - 2)][/tex]
[tex] = [ (\frac{ - 16}{4} )\div ( - 2)][/tex]
[tex] = \frac{( - 4)}{( - 2)} [/tex]
[tex] = 2[/tex]
Now, R. H S.
[tex]( - 16) \div [4 \div ( - 2)][/tex]
[tex] = \frac{ - 16}{ - 2} [/tex]
[tex] = 8[/tex]
[tex]\sf\purple{L. H. S.\: ≠ \:R. H. S. }[/tex]
Hence, [tex][( - 16) \div 4) \div( - 2)] ≠(-16)\div [4 \div( - 2) ][/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
Write the rational number as a decimal.
−11/5
-11/5 = -11 ÷ 5 = -2.2
Answer:
-2.2
What is the least common denominator of rational expressions with the given denominators? 4a^2, 6a, and 10b
( please do not respond to this if you are going to spam my question)
You work for a company in the marketing department. Your manager has tasked you with forecasting sales by month for the next year. You notice that over the past 12 months sales have consistently gone up in a linear fashion, so you decide to find a regression equation for the company's sales history. You find that the regression equation for the data is (sales) = 25.614*(time) + 5.499. Interpret the slope.
a. When sales increases by 1 unit, time increases by 5.499 months.
b. We are not given the dataset, so we cannot make an interpretation.
c. When sales increases by 1 unit, time increases by 25.614 months.
d. When time increases by 1 month, sales increases by 5.499 units.
e. When time increases by 1 month, sales increases by 25.614 units.
Which expression is equivalent to 4p^-4 10q -3? Assume
Step-by-step explanation:
Derive an expression for the equivalent width in a saturated line. Assume a Voigt profile, with the difference in optical depth between the center of the line and the wings being ~104. The wings of the line can be ignored. Define a frequency x1 = (v1 − v0)/ΔvD, where the optical depth τv = 1. Inside of x1 the line is fully saturated, and outside x1 the line is optically thin. Show that the equivalent width is

Note that the equivalent width is practically insensitive to the number density of absorbing material.
ok and again i just dont understand well so this is why i am asking so many times and u guys and girls are getting alot of points
Answer:
The answer is A
Step-by-step explanation:
Question 13
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Given the function C(t) = (t – 6)(t + 1)(t – 7)
its C-intercept is=
I
its t-intercepts are =
Answer:
The c intercept is 42
The t intercepts are: 6, -1 and 7
Step-by-step explanation:
Given
[tex]c(t) = (t - 6)(t +1)(t-7)[/tex]
Solving (a): The c intercept
Simply set t to 0
[tex]c(t) = (t - 6)(t +1)(t-7)[/tex]
[tex]c(0) = (0 - 6)(0 +1)(0-7)[/tex]
[tex]c(0) = (- 6)(1)(-7)[/tex]
[tex]c(0) = 42[/tex]
Solving (b): The t intercept
Simply set c(t) to 0
[tex]c(t) = (t - 6)(t +1)(t-7)[/tex]
[tex](t - 6)(t +1)(t-7) = 0[/tex]
Split
[tex]t - 6= 0,\ \ t +1= 0,\ \ t-7 = 0[/tex]
Solve for t
[tex]t = 6,\ \ t =-1,\ \ t=7[/tex]
Bryan is sitting on a bench in the mall. He noticed that 18 out of the last 60 men who walked by had a beard . Considering this data how many of the next 90 men who walk by should Bryan expect to have a beard?
Answer:
27
Step-by-step explanation:
every 30 men = 9 men with beards
you have 30 3 times in 90 so you get 27
60÷2=30
18÷2=9
30 men normal = 9 men with beards
90÷30=3
3×9=27
ang tamang yunit para masukat sng area ng panyo ay
Answer:
ang sentimeter ay ang tamang yunit ng pagsukat para sa pagsukat sa lugar ng isang panyo
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
27.5 miles per gallon
1 full tank = 15.45 gallons
27.5 x 15.45 = 424.875 miles
rounded to the nearest 100th: 424.88 miles
nearest 10th: 424.9 miles
nearest whole #: 425 miles
How do I solve this problem in 8th grade math
X - (-25) = -50
Answer:
try the meeting was a good friend of mine for the first person in my family who has been a great friend for any
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 75}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]x - ( - 25) = - 50[/tex]
➺ [tex] \: x + 25 = - 50[/tex]
➺ [tex] \: x = - 50 - 25[/tex]
➺ [tex] \: x = - 75[/tex]
Therefore, the value of [tex]x[/tex] is -75.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]x - ( - 25) = - 50[/tex]
➺ [tex] \: - 75 + 25 = 50[/tex]
➺ [tex] \: - 50 = - 50[/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Which of these graphs represents a function?
Answer:
[tex]{ \tt{graph \: y \:and \:graph\: z}}[/tex]
2.) Find the zeros of the quadratic function y = x2 – 3x + 2 by factoring method.
2.) Find the zeros of the quadratic function y = x2 – 3x + 2 by factoring method.
Solution:-[tex]\sf{Set\:y = 0. Thus, }[/tex]
[tex]\sf\rightarrow{0 = x2 – 3x + 2} [/tex]
[tex]\sf\rightarrow{0 = ( x – 2) ( x – 1)}[/tex]
[tex]\sf\rightarrow{x – 2 = 0 or x – 1 = 0} [/tex]
[tex]\sf{Then\:x = 2\:and\:x = 1}[/tex]
Answer:-The zeros of y = x² – 3x + 2 are 2 and 1.=====================#CarryOnLearning
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PLEASE HELP!!!
-Graphing Linear Inequalities
What is the difference between solid and dashed lines?
Q23. Find the value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k.
Answer:
k=7
Step-by-step explanation:
2x+3y=k
2(2)+3(1)=k
4+3=k
k=7
Answer:
7.
Step-by-step explanation:
Substitute x = 2 and y = 1 into the given equation:
2(2) + 3(1) = k
4 + 3 = k
k = 7.
please helpppppppppp
Answer:
Step-by-step explanation:
b = sqrt(2 * L) Given
L = 4.5 Given
b = sqrt(2 * 4.5)
b = sqrt(9)
b = 3
Answer:
b = 9
Step-by-step explanation:
Given :-
[tex] \small \sf \: b = \sqrt{2 \it \: l} [/tex]
[tex] \small \: l = 4.5[/tex]
Solution :-
[tex] \small \sf \: b = \sqrt{2 \it \: l} [/tex]
plug the values of l in the equation
[tex] \small \sf \leadsto \: b = \sqrt{2 × 4.5} [/tex]
[tex] \small \sf \leadsto \: b = \sqrt{9} [/tex]
[tex] \small \sf \leadsto \: b = 9 [/tex]
Out of 90 civil servants, 65 were working in the office, 50 were working in the field and 35 were working in both the premises (sites). How many civil servants were absent? How many civil servants were working in the field only? Represent the above information in the Venn diagram. 1
Answers:
10 people absent15 people working in the field onlySee the below image for the venn diagram=======================================================
Explanation:
35 people are working in both places. 50 work in the field or both, so 50-35 = 15 people work solely in the field. 65 work in the office or both, so 65-35 = 30 people work solely in the officeSo far that accounts for 15+30+35 = 80 people who work in the field, the office, or both.
The remaining 90-80 = 10 people are absent.
The venn diagram is below.
Orla weighed 3.77kg when she was born.
On Orla's second birthday she weighed 12.8kg.
Calculate the percentage increase in her weight.
Answer :
70.5% weight increase