A rectangular prism has a base of 18 cm by 15 cm and a diagonal of 25 cm. Identify its height. Round to the nearest tenth. HELP PLEASE! I don't understand this question!!
Answers
Answer:
8.7 cm
Step-by-step explanation:
You know the relationship between the diagonal of a rectangular prism and the sides as where x, y and z are the three dimensions of the prism. from your data,
or
. With some simple calculation you get
, or
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Answers
terms: 5; 6a; 11b
Factors of 5: 1; 5
Factors of 6a: 1; 2; 3; 6; a; 2a; 3a; 6a
Factors of 11b: 1; 11; b; 11b
Answers
- Focus: ( p/2, 0 );
y² = 1/4 x
y² = 2 p x ⇒ 2 p = 1/4
p = 1/8
p/2 = 1/16
F ( 1/16, 0)
- Directrix:
x = - p/2 x
x = - 1/16 x
- The focal length:
2 p = 2 · 1/8 = 1/4
Answer:
The vertex is (0,0), focus of the parabola is , directrix of the parabola is
, focal width is
.
Step-by-step explanation:
The given equation of parabola is
It can be written as
....(1)
The general equation of parabola is
... (2)
Where, (h,k) is vertex, (h+p,k) is focus, y=h-p is directrix and |4p| is focal width.
On comparing (1) and (2), we get
The vertex is (0,0).
Focus of the parabola is
Therefore focus of the parabola is.
Directrix of the parabola is
Directrix of the parabola is.
Focal width is
Focal width is.
Answers
u · v = 7· 21 + 2 · 6 = 147 + 12 = 159 ≠ 0
Vectors are parallel if the angle between them is 0°, or cos ( u, v ) = 1
cos ( u, v ) = ( u · v ) / ( | u | · | v | ) =
= 159 / (√(7² + 2²) · √(21² + 6²) ) =
= 159 / ( √ (49 + 4 ) · √ ( 441 + 36 ) ) =
= 159 / (√53 · √477 ) = 159 / 159 = 1
Answer : The vectors u and v are parallel.
Answer:
Parallel
Step-by-step explanation:
orthogonal: dot product of u times v= 0 degrees
utimesv= 7x21+2x6=147+12=159
Parallel: cos (u,v)=1
cos (u,v)=(u·v)/ IuI·IvI
cos (u,v)= 159/ (sqrt 7^2+2^2)·(sqrt 21^2 +6^2)
159/(sqrt 49+4) ·(sqrt 441+36)
159/(sqrt 53)·(sqrt 477)=
159/159
=1; therefore it is parallel
Answers
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Answers
Answer:
y = -2x + 17
Step-by-step explanation:
y has to equal 5:
incorrect
y = -2x - 17
y = -2(6) - 17
y = -12 - 17
y = -29
incorrect
y = -2x - 16
y = -2(6) - 16
y = -12 - 16
y = -28
incorrect
y = -2x + 16
y = -2(6) + 16
y = -12 + 16
y = 4
correct
y = -2x + 17
y = -2(6) + 17
y = -12 + 17
y = 5
(y+3) (y-3)
------- = --------- + 2
4 5
Answers
(when you have fractions like the one in this problem, you get rid of them by multiplying both sides by the denominator.)