Answer:
Option (4)
Step-by-step explanation:
Equation of a line passing through a point
and with slope 'm' is,
y - y₁ = m(x - x₁)
Given → Slope 'm' = -2
Point through which the line is passing is (-1, -2)
x₁ = -1 and y₁ = -2
Therefore, equation will be,
y + 2 = -2(x + 1)
y = -2x - 2 - 2
y = -2x - 4
Option (4) is the correct option.
Answer:
T=5
Step-by-step explanation:
5 -3 = 10/t
2 =10/t
2t = 10
T = 5
Answer:
24 and 66degrees
Step-by-step explanation:
Given the equation
cos(8x+18)=sin(−2x+36)
In trigonometry identity, cos theta = sin (90- theta)
The given expression becomes;
sin (90 - (8x+18)) = sin(−2x+36)
sin will cancel out to have;
90 - (8x+18) = (−2x+36)
90-8x-18 = -2x+36
-8x +72 = -2x+36
-8x + 2x = 36 - 72
-6x = -36
x = 36/6
x = 6
Hence the value of x is 6
cos(8x+18) = cos(8(6)+18)
= cos 66
Also
sin(−2x+36)
= sin(−2(6)+36)
= sin(−12+36)
= sin 24
Hence both angles are 24 and 66degrees
Miguel's batting average is approximately 0.330
<u><em>Explanation</em></u>
Miguel Cabrera had 205 hits in 622 times at bat.
For finding the batting average, we need to <u>divide the number of hits by the total number of times</u> at bat and then round the result up to <u>three decimal places</u> as batting average is usually rounded to three decimal places.
So, Miguel's batting average
≈ 0.330 (Rounded to three decimal places)