Answer:
L = 10.64°
Step-by-step explanation:
From the given information:
In triangle JKL;
line k = 9.6 cm
line l = 2.7 cm; &
angle J = 43°
we are to find angle L = ???
We can use the sine rule to determine angle L:
i.e

Using Pythagoras rule to find j
i,e
j² = k² + l²
j² = 9.6²+ 2.7²
j² = 92.16 + 7.29
j² = 99.45

j = 9.97
∴



Step-by-step explanation:
This is the answer for your question.
Answer:
y = -3x - 2
Step-by-step explanation:
Equation of a line passing through
and slope m is,

Slope of a line passing through
and
is,
Slope = 
Slope of the line passing through (0, -2) and (1, -5) will be,
Slope = 
m = - 3
Therefore, equation of the line passing through (0, -2) and slope = -3 will be,
y + 2 = -3(x - 0)
y + 2 = -3x
y = -3x - 2
Answer:
Parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.
Step-by-step explanation:
<u>Vertical translation of f(x) is of the form</u>

It means if the constant 'k' is added in the output, the parent graph vertically shifted 'k' units up.
Given

Replacing the parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.
Please also check the attached diagram.
-
The red graph shows the parent function i.e.

- The blue graph shows the transformed function i.e. f(x)+5
The blue graph is the result of the vertically shifting of the parent function by 5 units up.
Hence, parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.
Answer:
Answer:
The cross product is 47 i - 61 j + 17 k.
Step-by-step explanation:
Given that-
a = < -1, -3, -8 > , b = < 7, 4, -5 >
The cross product is
a × b =\begin{gathered}\left[\begin{array}{ccc}i&j&k\\-1&-3&-8\\7&4&-5\end{array}\right]\end{gathered}⎣⎢⎡i−17j−34k−8−5⎦⎥⎤
= i ( - 3 × -5 - 4 × -8 ) - j ( -1 × -5 - (-8) × 7 ) + k ( -1 × 4 - 7 × -3 )
= i ( 15 + 32 ) -j ×( 5 + 56 ) + k ( -4 + 21 )
= i ( 47) - j (61 ) + k (17)
= 47 i -61 j + 17 k
As we know that if two vectors A & B are perpendicular then
A . B = 0
So here only the given vector b = < 7,4, -5> is perpendicular to the resulting vector .
Step-by-step explanation:
47, -61, 71>; yes