Answer:
Step-by-step explanation:
Given
Required
Determine the value of k
First, we need to determine the equation of g(x)
Start by calculating the slope (m)
Where x and y are two corresponding values:
The slope (m) is:
The equation is calculated using:
Where
and
Make y the subject of formula
So:
Next, we determine the equation of f(x)
Start by calculating the slope (m)
Where x and y are two corresponding values:
The slope (m) is:
The equation is calculated using:
Where
and
Make y the subject of formula
So:
Recall that
Make k the subject
Substitute values for g(x) and f(x)
Answer:
Step-by-step explanation:
Let's solve:
Step 1: Multiply both sides by 4/3.
Answer: A . Not all 2 × 2 matrices have an inverse matrix. If the determinant of the matrix is zero, then it will not have an inverse; the matrix is then said to be singular. Only non-singular matrices have inverses.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The pronoun "one" is used and then "you" came out of nowhere not matching the pronoun "one" earlier in the sentence. Therefore it confuses the reader.
Answer:
5.006
41.056
31.289
51.977
7.884
Step-by-step explanation:
1) sin x = opposite side / hypotenuse
sin 24.3° = 2.06 / hyp
hyp = 2.06 / sin 24.3 = 5.<u>0059</u>006616019108320511866543651
rounding to 3 significant figures
= 5.006
2)cos x = adjacent side / hypotenuse
cos 47 = 28 / x
x = 28 / cos 47 = 41.<u>0558</u>17197909497891901840157945
= 41.056
3) cos x = adjacent side / hypotenuse
cos 56.1 = x / 56.1
x = 56.1 * cos 56.1 = 31.<u>2895</u>00613760617368691451544764
= 31.289
4) tan x = opposite side / adjacent side
tan 68 = x / 21
x = 21 * tan 68 = 51.<u>9768</u>239217422123300402781676
= 51.977
5) sin x = opposite side / hypotenuse
sin 21 = x / 22
x = 22 * sin 21 = 7.<u>8840</u>948899966060166510313670963
= 7.884